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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 56 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(16) CpxRelTRS
    (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 3713 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 36 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 6 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1744 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 0 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 3107 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 17 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 22.7 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7234 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6997 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6995 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 22.5 s]
        (54) 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(1(1(1(2(0(1(x1))))))) -> 2(2(2(1(1(2(1(0(1(1(x1))))))))))
   1(0(0(2(0(0(0(x1))))))) -> 2(2(1(1(2(0(2(2(2(1(x1))))))))))
   0(0(2(2(2(0(1(2(0(0(x1)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(x1)))))))))))
   2(0(0(0(1(1(1(2(0(2(x1)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(x1)))))))))))))
   2(0(0(0(1(0(2(1(0(1(2(x1))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(x1))))))))))))
   1(0(2(0(1(2(2(1(0(1(2(0(x1)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(x1))))))))))))))
   2(0(0(0(0(0(1(1(1(1(2(2(x1)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(x1)))))))))))))
   2(0(0(2(0(1(0(1(1(0(1(0(x1)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(x1))))))))))))))
   0(0(1(0(0(2(0(1(1(2(2(0(1(x1))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(x1)))))))))))))
   1(0(1(2(1(1(2(0(1(1(1(0(2(0(x1)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(x1)))))))))))))))))
   2(0(0(0(1(1(2(0(1(0(2(1(0(0(x1)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(x1)))))))))))))))))
   2(0(1(2(0(0(2(1(1(2(2(0(0(2(0(0(x1)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(x1))))))))))))))))
   2(0(1(2(1(0(0(1(2(0(2(2(2(0(2(1(x1)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(x1))))))))))))))))))))))
   1(0(1(2(1(1(2(0(0(1(0(1(2(2(2(0(2(x1))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(x1))))))))))))))))))))
   1(0(2(1(1(0(0(1(0(0(2(1(1(1(0(0(1(1(0(x1))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(x1))))))))))))))))))))
   0(0(1(0(0(1(1(0(2(2(2(1(2(0(2(1(1(0(2(0(x1)))))))))))))))))))) -> 1(0(0(2(1(2(2(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(x1))))))))))))))))))))))
   1(0(0(0(0(1(2(2(0(2(1(0(2(1(0(1(2(0(0(2(x1)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(x1))))))))))))))))))))))))
   1(2(1(2(0(1(2(1(1(2(1(1(1(2(0(1(1(1(1(1(x1)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(x1))))))))))))))))))))
   0(1(0(2(2(2(2(0(2(2(0(1(2(0(1(1(0(1(2(0(0(x1))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(x1)))))))))))))))))))))))))))))))))))
   1(0(0(2(1(1(1(0(0(0(1(0(1(0(2(0(2(1(0(0(2(x1))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(x1))))))))))))))))))))))
   2(0(2(0(1(2(2(0(0(2(1(1(0(1(0(0(1(1(2(0(1(x1))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(x1))))))))))))))))))))))
   0(0(0(0(0(2(1(2(0(0(0(2(0(1(2(1(2(1(1(2(0(0(1(0(x1)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(x1))))))))))))))))))))))))))))
   2(0(0(0(2(0(2(2(2(2(2(2(0(0(0(1(2(0(2(2(2(0(0(1(1(x1))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(x1))))))))))))))))))))))))))))
   2(1(2(1(0(1(2(0(1(2(0(0(1(2(0(1(2(0(1(0(1(0(0(2(2(x1))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(x1))))))))))))))))))))))))))
   0(0(2(2(2(0(0(1(1(1(0(0(1(1(0(0(0(2(1(2(0(1(0(0(1(1(1(0(x1)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(x1)))))))))))))))))))))))))))))
   2(0(2(1(1(0(2(1(0(1(0(1(1(1(0(1(1(2(0(0(1(0(1(0(0(0(2(0(x1)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(x1))))))))))))))))))))))))))))))))))
   2(1(0(1(2(2(1(2(2(2(2(2(2(2(0(0(0(1(1(0(1(1(0(0(0(0(2(1(x1)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(x1)))))))))))))))))))))))))))))
   0(0(2(0(1(2(1(1(1(2(0(0(0(1(1(0(2(2(0(2(2(0(0(2(1(0(0(2(1(x1))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(0(2(1(0(2(1(0(0(2(2(2(1(2(0(2(1(1(0(1(1(2(2(0(1(2(1(x1))))))))))))))))))))))))))))))))
   2(0(1(0(0(1(0(2(2(0(0(1(1(2(1(2(1(1(1(1(2(1(1(0(0(1(1(2(0(x1))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(x1))))))))))))))))))))))))))))))))))
   0(0(0(2(2(0(0(1(0(2(2(2(2(2(0(1(0(2(0(0(0(0(2(0(1(2(1(2(0(0(x1)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(x1))))))))))))))))))))))))))))))))
   0(0(1(0(1(2(2(1(0(0(1(0(2(0(0(0(1(1(0(0(2(0(1(0(0(0(2(0(1(0(x1)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))
   0(2(0(0(0(0(0(0(0(1(1(0(2(1(1(0(1(2(0(2(0(2(1(2(0(1(2(1(1(0(x1)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(x1)))))))))))))))))))))))))))))))
   2(0(1(1(1(1(1(0(2(0(2(1(0(1(0(2(0(2(1(0(2(2(0(0(1(2(2(0(0(0(x1)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(x1))))))))))))))))))))))))))))))))))
   2(1(1(1(2(1(0(1(0(1(1(0(1(2(0(2(0(0(0(0(1(2(1(1(0(0(0(0(1(2(x1)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(x1))))))))))))))))))))))))))))))))
   2(0(0(1(0(0(0(1(1(0(0(0(1(0(2(0(2(2(0(0(1(1(2(0(0(0(2(0(0(1(2(x1))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(x1))))))))))))))))))))))))))))))))))))))
   0(2(0(2(1(0(1(2(2(2(0(0(0(0(1(0(1(2(2(0(2(2(0(0(2(2(2(0(1(0(1(1(x1)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x1)))))))))))))))))))))))))))))))))
   2(0(1(2(1(2(0(0(0(1(2(0(1(1(2(0(1(1(0(1(1(2(2(0(2(1(0(1(0(2(0(2(x1)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(x1)))))))))))))))))))))))))))))))))
   0(1(0(1(0(1(1(2(1(1(2(0(1(1(1(0(1(1(2(2(2(0(1(2(2(0(2(0(1(2(0(2(0(x1))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(x1)))))))))))))))))))))))))))))))))))
   1(1(0(1(0(1(0(2(2(0(0(2(1(0(0(2(1(0(0(0(0(0(0(0(1(0(2(1(1(0(2(0(0(0(x1)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(x1)))))))))))))))))))))))))))))))))))
   2(2(0(0(2(2(1(1(1(2(0(2(1(1(2(2(0(0(2(2(2(1(1(2(2(2(2(2(1(0(2(1(2(0(x1)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(x1))))))))))))))))))))))))))))))))))
   0(0(0(1(2(0(1(1(1(0(0(0(1(1(1(0(2(2(0(1(0(2(0(2(0(2(2(1(1(2(1(0(0(2(1(x1))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(x1))))))))))))))))))))))))))))))))))))
   1(0(1(2(0(0(1(1(1(2(1(1(1(0(2(2(2(0(1(1(2(1(0(1(1(0(0(2(2(2(2(0(0(2(0(x1))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))
   1(1(2(0(2(2(1(0(1(2(1(1(0(0(2(0(0(1(1(0(1(0(0(0(0(2(0(1(0(2(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(x1))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(0(0(0(2(2(2(0(2(0(0(2(2(2(0(1(2(2(1(0(1(0(0(2(0(0(0(0(2(1(0(x1))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(x1))))))))))))))))))))))))))))))))))))))
   1(2(0(2(0(0(2(1(0(0(0(2(2(0(0(1(0(2(0(0(0(2(0(0(2(0(2(2(2(0(2(2(0(2(1(1(x1)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(x1)))))))))))))))))))))))))))))))))))))))))
   2(0(1(2(2(0(1(2(0(2(0(2(1(2(2(2(0(0(0(2(0(1(1(2(0(0(2(1(2(2(1(2(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(x1))))))))))))))))))))))))))))))))))))))
   0(0(1(2(0(1(2(0(1(2(2(0(0(2(1(1(1(2(0(0(1(1(2(0(0(0(2(1(1(1(2(0(0(1(2(0(0(0(x1)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(x1))))))))))))))))))))))))))))))))))))))))
   0(2(0(0(0(0(2(1(2(2(0(2(0(2(1(0(2(2(0(1(2(0(2(1(0(0(1(0(2(2(2(0(1(0(1(2(0(1(x1)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(x1)))))))))))))))))))))))))))))))))))))))
   1(0(2(2(2(2(2(0(2(0(2(1(2(0(0(1(0(2(1(0(0(0(1(2(1(0(2(2(0(1(0(1(1(2(0(0(2(0(x1)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))
   2(0(0(2(0(0(2(1(1(0(2(0(2(0(1(1(2(1(2(0(1(1(0(1(2(0(0(0(2(0(2(2(0(1(2(0(2(2(x1)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(x1)))))))))))))))))))))))))))))))))))))))
   2(1(2(1(2(2(2(2(2(0(1(1(2(2(0(0(1(0(0(0(0(1(0(2(1(1(1(2(2(1(2(0(1(0(1(1(2(0(x1)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(x1)))))))))))))))))))))))))))))))))))))))
   2(0(0(2(0(0(1(1(1(1(0(2(0(2(1(2(0(0(0(0(0(2(2(0(2(1(2(2(0(2(0(2(0(1(0(0(1(2(2(x1))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))
   0(2(1(2(0(2(0(2(2(1(1(1(1(2(2(0(0(0(1(0(2(0(0(0(2(2(0(2(1(2(2(0(2(0(2(2(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(0(0(2(1(2(1(2(1(0(1(2(0(2(0(0(2(1(2(0(0(1(0(0(0(1(2(1(2(0(0(1(0(0(0(1(1(2(0(0(x1)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))))
   1(0(2(1(1(0(0(1(0(1(0(0(1(1(0(0(0(0(0(0(1(1(0(1(0(0(1(0(1(0(2(1(0(2(1(1(0(1(1(0(x1)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(x1))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(2(1(1(0(0(1(1(1(2(1(0(1(2(1(2(2(2(0(2(2(0(1(0(0(2(0(0(2(2(1(0(1(2(1(1(1(x1)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(1(0(0(1(1(1(1(2(0(2(1(1(0(1(2(0(2(0(1(2(1(1(1(2(0(0(1(1(0(0(1(0(1(0(2(2(1(x1))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))
   2(1(2(2(0(1(0(0(1(2(0(1(2(0(2(2(2(0(1(1(2(0(2(2(2(0(1(2(0(1(0(2(1(0(1(2(2(1(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(2(2(0(0(1(0(2(1(2(0(0(1(2(0(1(1(2(0(2(0(0(0(1(0(0(2(1(0(1(0(0(2(0(1(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(0(2(1(0(2(1(0(1(1(2(1(1(0(1(1(2(1(2(1(2(2(0(0(1(0(0(2(2(2(0(0(1(0(0(2(2(2(2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))
   0(1(2(2(2(1(0(0(0(1(1(1(2(0(1(0(1(0(1(0(0(1(2(2(2(2(2(0(0(0(2(1(0(1(1(2(1(1(0(1(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(x1)))))))))))))))))))))))))))))))))))))))))))))))
   0(2(1(1(1(1(0(1(2(0(1(1(0(1(0(0(0(1(2(2(1(2(2(0(1(2(0(1(0(1(0(0(2(0(2(0(0(0(1(0(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))
   2(0(1(2(1(2(2(0(1(2(1(1(0(0(0(0(1(2(2(0(0(2(0(1(1(0(1(0(0(0(1(2(1(1(2(0(1(0(1(0(0(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))
   2(1(2(2(2(2(0(1(1(0(1(1(2(1(2(2(1(0(0(1(0(2(1(2(1(2(1(0(2(2(1(2(1(2(1(1(2(0(0(1(1(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(2(0(1(1(2(1(1(2(1(0(1(1(2(0(0(0(1(0(0(0(0(0(0(1(1(2(0(2(1(2(0(1(0(1(2(2(2(0(0(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(2(2(1(1(1(0(1(2(0(1(0(2(0(0(1(2(0(1(0(1(2(1(1(2(2(0(2(1(0(0(0(0(1(2(2(1(2(2(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   0(2(0(0(0(2(2(2(2(0(2(0(0(1(2(1(1(1(1(0(2(1(1(0(1(1(0(2(2(0(0(0(2(1(0(2(1(0(0(1(0(2(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(1(1(0(1(1(2(0(0(0(0(2(2(2(1(1(2(2(1(2(1(0(2(1(0(2(1(1(1(0(2(1(0(1(0(0(1(1(0(2(2(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   0(2(2(0(1(1(0(0(2(2(1(0(0(1(2(1(0(2(1(2(1(0(2(2(1(2(0(0(1(2(0(2(0(2(1(1(0(0(1(2(0(2(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(1(2(2(2(2(1(2(0(1(2(1(0(0(2(1(2(1(0(1(2(2(2(2(0(1(2(1(0(1(2(2(2(1(2(1(1(2(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(2(2(0(2(1(2(0(1(0(2(2(2(1(1(2(1(2(0(1(2(1(0(2(1(1(1(2(0(1(0(0(2(1(0(0(2(1(1(1(0(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))
   2(0(2(0(0(1(2(0(1(1(1(2(0(2(1(2(0(2(1(1(2(0(2(0(2(1(2(2(0(1(1(2(2(1(0(1(0(1(1(0(2(1(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   2(0(2(0(1(0(1(0(1(1(2(0(1(1(1(0(0(0(2(2(1(1(1(0(2(1(0(0(1(1(0(0(0(2(0(0(1(0(2(1(2(0(0(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(2(2(2(1(2(0(1(2(2(2(0(0(2(1(0(0(2(2(0(0(0(1(0(2(1(2(1(0(0(0(0(1(1(1(1(0(2(0(1(0(0(1(0(0(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   0(2(0(1(2(1(0(1(1(2(0(2(1(0(0(2(0(1(1(0(1(2(2(0(2(0(1(1(0(1(2(0(0(0(1(0(0(1(2(0(1(2(0(0(2(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(0(1(1(1(1(2(2(1(2(2(2(0(1(0(0(0(2(2(0(2(1(2(1(0(1(0(0(1(2(0(1(1(0(1(1(2(0(0(2(0(1(1(2(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   2(2(2(1(2(2(2(0(1(2(0(1(2(0(1(1(1(2(0(0(2(1(1(2(1(0(1(1(2(0(1(2(0(1(2(2(1(2(2(1(1(1(1(0(2(2(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   2(1(0(1(0(0(2(2(1(1(1(0(1(1(0(1(1(2(0(1(0(1(2(2(0(0(1(0(0(1(1(0(1(1(2(1(0(0(0(0(1(1(1(2(1(1(1(0(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))

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

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

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


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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

Types:
0 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
1 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
2 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
hole_1:0:2:encArg:encode_0:encode_1:encode_21_3 :: 1:0:2:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2
gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2

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

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

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

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

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

Types:
0 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
1 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
2 :: 1:0:2:encArg:encode_0:encode_1:encode_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encArg :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_1 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
cons_2 :: cons_0:cons_1:cons_2 -> cons_0:cons_1:cons_2
encode_0 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_1:cons_2 -> 1:0:2:encArg:encode_0:encode_1:encode_2
hole_1:0:2:encArg:encode_0:encode_1:encode_21_3 :: 1:0:2:encArg:encode_0:encode_1:encode_2
hole_cons_0:cons_1:cons_22_3 :: cons_0:cons_1:cons_2
gen_cons_0:cons_1:cons_23_3 :: Nat -> cons_0:cons_1:cons_2


Generator Equations:
gen_cons_0:cons_1:cons_23_3(0) <=> hole_cons_0:cons_1:cons_22_3
gen_cons_0:cons_1:cons_23_3(+(x, 1)) <=> cons_0(gen_cons_0:cons_1:cons_23_3(x))


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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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


The TRS R consists of the following rules:

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

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

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

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

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

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

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_2_1
   0'_1
   1'_1
   2'_1

Due to the following rules being added:

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

And the following fresh constants:    const, const1

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

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

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

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

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

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:

   2'(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(x1)))))))))))))) -> 1'(0'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(1'(0'(1'(2'(1'(x1))))))))))))))))) [1]
   0'(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(x1)))))))))))))))))))))))))))))))) -> 1'(0'(0'(2'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(2'(1'(0'(1'(1'(1'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(x1))))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(2'(0'(0'(1'(0'(0'(2'(1'(2'(1'(2'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 1'(1'(0'(1'(2'(2'(0'(0'(0'(0'(2'(2'(1'(2'(0'(0'(1'(2'(0'(1'(0'(2'(1'(2'(1'(2'(1'(0'(2'(1'(0'(x1))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(x1)))))))))))))))))))))))))))))) -> 0'(2'(0'(0'(1'(2'(1'(1'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(1'(1'(1'(x1))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(2'(2'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(0'(2'(1'(2'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(1'(1'(1'(0'(2'(2'(0'(1'(2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(1'(1'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(1'(2'(1'(2'(1'(0'(2'(2'(1'(2'(0'(1'(2'(0'(2'(0'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(x1))))))))))))))))))))))))))))))))))) -> 1'(2'(0'(2'(2'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(0'(0'(2'(x1)))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(x1)))))))))))))))))))))))))))))))) -> 1'(1'(2'(0'(2'(1'(2'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(2'(2'(1'(1'(1'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))))))))) [1]
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   2'(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(x1))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(2'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(0'(0'(2'(0'(2'(2'(2'(2'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))) [1]
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(x1))))))) -> 2'(2'(1'(1'(2'(0'(2'(2'(2'(1'(x1)))))))))) [1]
   1'(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(0'(2'(0'(2'(1'(1'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(1'(2'(2'(0'(1'(1'(1'(0'(1'(1'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(x1))))))))))))))))))))) -> 1'(0'(2'(1'(0'(1'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(x1)))))))))))))))))))))) [1]
   1'(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(x1)))))))))))))))))))) -> 1'(2'(2'(1'(1'(1'(1'(1'(1'(2'(1'(2'(1'(2'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(x1)))))))))))))))))))))))))))) -> 1'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(1'(x1))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(x1)))))))))))))))))))))))))))) -> 2'(2'(0'(2'(2'(2'(0'(0'(2'(1'(0'(1'(1'(1'(2'(0'(2'(1'(1'(2'(2'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(1'(2'(2'(x1)))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))))))))))))) -> 1'(1'(1'(2'(2'(2'(0'(1'(1'(0'(1'(1'(0'(2'(2'(2'(2'(1'(0'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(1'(2'(0'(2'(2'(0'(x1))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(0'(1'(2'(2'(2'(1'(2'(0'(1'(1'(1'(0'(0'(1'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(x1)))))))))))) -> 1'(1'(2'(2'(1'(1'(0'(2'(2'(2'(1'(0'(2'(1'(x1)))))))))))))) [1]
   0'(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(2'(1'(0'(1'(2'(0'(0'(1'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(1'(1'(x1))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(2'(2'(1'(1'(2'(0'(1'(1'(1'(1'(2'(1'(2'(0'(2'(1'(2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(2'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(x1)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(0'(0'(0'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(0'(0'(1'(2'(1'(0'(1'(2'(0'(0'(1'(2'(1'(1'(1'(2'(1'(0'(1'(1'(1'(2'(1'(1'(0'(1'(2'(0'(1'(1'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(0'(1'(2'(0'(1'(2'(2'(1'(1'(0'(2'(2'(2'(1'(0'(0'(1'(1'(0'(2'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(2'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(2'(1'(0'(2'(0'(1'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(2'(2'(1'(2'(1'(0'(0'(1'(0'(x1))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(x1)))))))))))))))) -> 1'(2'(1'(1'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(2'(x1)))))))))))))))))))))) [1]
   2'(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(x1)))))))))))))))))))))))))))))) -> 1'(0'(0'(1'(1'(1'(2'(2'(1'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(1'(0'(1'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(x1)))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(x1)))))))))))))))))))) -> 1'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(2'(1'(2'(2'(2'(2'(1'(2'(0'(1'(1'(x1)))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(x1))))))))))))))))))))))))))))) -> 0'(2'(2'(2'(1'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(2'(2'(1'(2'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(1'(2'(1'(x1)))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(x1)))))))))))) -> 2'(2'(2'(2'(1'(1'(0'(2'(0'(2'(0'(0'(2'(x1))))))))))))) [1]
   0'(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(0'(1'(2'(1'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(0'(2'(2'(1'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(0'(2'(0'(0'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(x1))))))))))))) -> 2'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(0'(1'(x1))))))))))))) [1]
   0'(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(x1)))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(0'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(1'(2'(1'(0'(0'(1'(x1)))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(2'(2'(0'(0'(2'(2'(2'(1'(1'(1'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(0'(1'(0'(1'(1'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(x1)))))))))))))))))))) -> 1'(0'(0'(2'(1'(2'(2'(1'(1'(1'(2'(2'(2'(2'(1'(1'(2'(0'(2'(1'(1'(2'(x1)))))))))))))))))))))) [1]
   2'(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(1'(1'(1'(0'(1'(2'(1'(2'(2'(1'(2'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(1'(2'(1'(0'(0'(0'(1'(1'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))) -> 1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(1'(2'(2'(0'(0'(x1))))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(x1)))))))))))) -> 0'(2'(1'(1'(1'(2'(2'(1'(2'(1'(0'(1'(2'(0'(x1)))))))))))))) [1]
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(2'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(2'(1'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(0'(1'(1'(2'(2'(0'(2'(0'(1'(1'(2'(0'(2'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))) -> 1'(1'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(1'(2'(0'(2'(2'(0'(2'(0'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(0'(0'(2'(x1))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(2'(1'(1'(2'(0'(2'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))) [1]
   encArg(cons_0(cons_0(x_1'))) -> 0'(0'(encArg(x_1'))) [0]
   encArg(cons_0(cons_1(x_1''))) -> 0'(1'(encArg(x_1''))) [0]
   encArg(cons_0(cons_2(x_11))) -> 0'(2'(encArg(x_11))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_1(cons_0(x_12))) -> 1'(0'(encArg(x_12))) [0]
   encArg(cons_1(cons_1(x_13))) -> 1'(1'(encArg(x_13))) [0]
   encArg(cons_1(cons_2(x_14))) -> 1'(2'(encArg(x_14))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_2(cons_0(x_15))) -> 2'(0'(encArg(x_15))) [0]
   encArg(cons_2(cons_1(x_16))) -> 2'(1'(encArg(x_16))) [0]
   encArg(cons_2(cons_2(x_17))) -> 2'(2'(encArg(x_17))) [0]
   encArg(cons_2(x_1)) -> 2'(const) [0]
   encode_0(cons_0(x_18)) -> 0'(0'(encArg(x_18))) [0]
   encode_0(cons_1(x_19)) -> 0'(1'(encArg(x_19))) [0]
   encode_0(cons_2(x_110)) -> 0'(2'(encArg(x_110))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_1(cons_0(x_111)) -> 1'(0'(encArg(x_111))) [0]
   encode_1(cons_1(x_112)) -> 1'(1'(encArg(x_112))) [0]
   encode_1(cons_2(x_113)) -> 1'(2'(encArg(x_113))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(cons_0(x_114)) -> 2'(0'(encArg(x_114))) [0]
   encode_2(cons_1(x_115)) -> 2'(1'(encArg(x_115))) [0]
   encode_2(cons_2(x_116)) -> 2'(2'(encArg(x_116))) [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]
   encArg(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]

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

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'(2'(2'(1'(1'(2'(1'(0'(1'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   0'(z) -{ 1 }-> 2'(2'(1'(1'(2'(0'(0'(0'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(1'(0'(2'(0'(0'(0'(2'(2'(2'(1'(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) -{ 1 }-> 2'(1'(2'(1'(0'(1'(2'(0'(1'(1'(2'(2'(2'(2'(1'(2'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(1'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(2'(2'(2'(1'(2'(1'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(2'(2'(1'(0'(1'(1'(2'(2'(2'(2'(1'(1'(1'(2'(0'(0'(0'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(0'(1'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 2'(0'(1'(2'(1'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(0'(2'(2'(1'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(0'(2'(0'(0'(1'(1'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(1'(2'(0'(0'(1'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(1'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(1'(1'(1'(1'(0'(2'(2'(0'(1'(2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(2'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(0'(1'(2'(2'(2'(1'(2'(0'(1'(1'(1'(0'(0'(1'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(0'(1'(2'(0'(1'(0'(2'(0'(0'(1'(2'(0'(1'(0'(1'(2'(1'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   0'(z) -{ 1 }-> 1'(2'(1'(1'(0'(1'(1'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(0'(0'(1'(2'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(0'(1'(0'(2'(0'(2'(0'(2'(2'(1'(0'(1'(2'(0'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(0'(2'(1'(1'(1'(0'(1'(1'(2'(0'(0'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(1'(1'(2'(2'(2'(0'(1'(1'(0'(1'(1'(0'(2'(2'(2'(2'(1'(0'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(1'(2'(0'(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 + x1)))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(2'(1'(0'(0'(0'(1'(1'(0'(1'(2'(1'(1'(0'(1'(1'(0'(2'(2'(1'(1'(1'(1'(0'(2'(0'(1'(2'(2'(1'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(1'(2'(2'(0'(0'(0'(0'(2'(2'(1'(2'(0'(0'(1'(2'(0'(1'(0'(2'(1'(2'(1'(2'(1'(0'(2'(1'(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 + x1))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(1'(2'(2'(0'(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 + x1))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(2'(1'(2'(2'(1'(1'(1'(2'(2'(2'(2'(1'(1'(2'(0'(2'(1'(1'(2'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(2'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(2'(1'(0'(1'(1'(1'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(2'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(1'(2'(1'(0'(2'(1'(1'(0'(0'(2'(0'(2'(2'(2'(0'(2'(2'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(2'(1'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(2'(2'(1'(2'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(1'(2'(1'(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 + x1)))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(0'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(1'(2'(1'(0'(0'(1'(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 + x1))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(2'(1'(1'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(1'(1'(1'(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 + x1))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(2'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(1'(1'(2'(2'(0'(2'(1'(0'(2'(0'(1'(2'(2'(2'(2'(2'(2'(1'(2'(2'(1'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(1'(2'(0'(2'(2'(2'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   1'(z) -{ 1 }-> 2'(2'(1'(0'(0'(2'(1'(1'(2'(1'(2'(0'(2'(1'(2'(2'(1'(2'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(2'(2'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(0'(2'(1'(2'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(1'(2'(1'(0'(2'(0'(1'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(2'(2'(1'(2'(1'(0'(0'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(1'(1'(1'(1'(2'(1'(2'(1'(2'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(2'(2'(2'(1'(1'(2'(0'(1'(1'(1'(1'(2'(1'(2'(0'(2'(1'(2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(2'(2'(0'(0'(2'(2'(2'(1'(1'(1'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(0'(1'(0'(1'(1'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(2'(0'(2'(1'(1'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(1'(2'(2'(0'(1'(1'(1'(0'(1'(1'(1'(0'(2'(1'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(2'(2'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(0'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(2'(1'(0'(0'(2'(1'(2'(2'(2'(1'(1'(1'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(1'(2'(0'(1'(2'(2'(1'(1'(0'(2'(2'(2'(1'(0'(0'(1'(1'(0'(2'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(2'(0'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(2'(1'(1'(0'(2'(2'(2'(1'(0'(2'(1'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(2'(2'(2'(1'(0'(0'(2'(1'(1'(1'(1'(1'(1'(2'(0'(0'(0'(0'(1'(2'(1'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(2'(0'(0'(2'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(2'(1'(0'(2'(0'(0'(2'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(2'(1'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(2'(0'(1'(0'(1'(2'(1'(0'(1'(1'(0'(0'(2'(2'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(1'(2'(0'(2'(2'(0'(2'(0'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(0'(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 + x1))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(2'(1'(2'(2'(2'(2'(1'(2'(0'(1'(1'(x1)))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(1'(0'(1'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(2'(2'(0'(1'(2'(2'(1'(1'(2'(1'(2'(0'(2'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(1'(0'(2'(2'(2'(1'(1'(1'(1'(0'(1'(2'(2'(2'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(2'(1'(1'(2'(2'(1'(0'(1'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(1'(2'(1'(1'(1'(0'(1'(0'(2'(0'(1'(0'(1'(2'(1'(2'(2'(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 + (1 + x1))))))))))))))))))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(0'(2'(0'(2'(0'(0'(2'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(1'(2'(1'(2'(2'(1'(1'(2'(1'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(1'(2'(2'(1'(0'(1'(2'(1'(1'(2'(0'(1'(0'(1'(0'(2'(1'(1'(2'(2'(1'(1'(2'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(2'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(2'(2'(1'(1'(0'(0'(0'(1'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(2'(1'(1'(2'(0'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(2'(2'(2'(0'(0'(2'(1'(0'(1'(1'(1'(2'(0'(2'(1'(1'(2'(2'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(1'(2'(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 + x1))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(2'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(0'(0'(2'(0'(2'(2'(2'(2'(1'(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 + x1)))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(2'(1'(2'(1'(1'(0'(0'(2'(2'(2'(1'(0'(2'(0'(1'(1'(0'(1'(1'(0'(2'(0'(2'(0'(1'(2'(1'(0'(1'(2'(2'(0'(2'(2'(2'(2'(1'(2'(1'(1'(1'(1'(0'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(0'(2'(1'(2'(2'(0'(2'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(0'(2'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(2'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(1'(0'(1'(2'(1'(2'(2'(2'(1'(1'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(2'(2'(0'(1'(2'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(1'(0'(1'(2'(1'(2'(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 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(1'(1'(1'(0'(1'(2'(1'(2'(2'(1'(2'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(1'(2'(1'(0'(0'(0'(1'(1'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(2'(1'(0'(1'(2'(0'(2'(1'(2'(1'(2'(2'(0'(2'(1'(2'(2'(1'(0'(2'(2'(2'(2'(1'(0'(1'(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 + x1))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(1'(2'(1'(2'(2'(2'(1'(1'(0'(0'(2'(0'(1'(2'(0'(2'(2'(2'(2'(2'(0'(2'(2'(1'(1'(0'(0'(0'(1'(0'(1'(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 + x1))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(1'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(2'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(0'(2'(1'(2'(0'(1'(1'(2'(1'(2'(2'(1'(1'(1'(2'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(1'(0'(0'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(2'(1'(1'(1'(1'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(0'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(1'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(2'(2'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(0'(2'(2'(2'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(2'(0'(2'(1'(2'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(2'(2'(1'(1'(1'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(1'(1'(1'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(1'(2'(1'(2'(1'(0'(2'(2'(1'(2'(0'(1'(2'(0'(2'(0'(0'(1'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(1'(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 + x1))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(0'(0'(1'(2'(1'(0'(1'(2'(0'(0'(1'(2'(1'(1'(1'(2'(1'(0'(1'(1'(1'(2'(1'(1'(0'(1'(2'(0'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(2'(2'(0'(2'(1'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(2'(1'(1'(0'(1'(2'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(1'(0'(1'(2'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(0'(2'(2'(0'(1'(2'(1'(2'(0'(2'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(1'(1'(1'(2'(2'(1'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(1'(0'(1'(2'(1'(1'(2'(2'(2'(0'(1'(2'(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 + x1))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(0'(2'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(x1)))))))))))))))))))))))))) :|: z = 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))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   2'(z) -{ 1 }-> 0'(2'(1'(1'(1'(2'(2'(1'(2'(1'(0'(1'(2'(0'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   2'(z) -{ 1 }-> 0'(1'(2'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(2'(0'(0'(1'(0'(0'(2'(1'(2'(1'(2'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))) :|: z = 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))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(1'(1'(1'(0'(2'(1'(2'(2'(2'(1'(1'(x1)))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(2'(2'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(2'(1'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(0'(1'(1'(2'(2'(0'(2'(0'(1'(1'(2'(0'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(1'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(1'(2'(0'(1'(2'(0'(1'(1'(2'(2'(1'(2'(1'(0'(0'(2'(0'(1'(1'(1'(2'(2'(1'(1'(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 + x1)))))))))))))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 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'(2'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_19))) :|: z = 1 + x_19, x_19 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_18))) :|: z = 1 + x_18, x_18 >= 0
   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'(2'(encArg(x_113))) :|: z = 1 + x_113, x_113 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_112))) :|: z = 1 + x_112, x_112 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_111))) :|: z = 1 + x_111, x_111 >= 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'(2'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_2(z) -{ 0 }-> 2'(0'(encArg(x_114))) :|: x_114 >= 0, z = 1 + x_114
   encode_2(z) -{ 0 }-> 2'(0) :|: x_1 >= 0, z = x_1
   encode_2(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'(2'(2'(1'(1'(2'(1'(0'(1'(1'(z - 6)))))))))) :|: z - 6 >= 0
   0'(z) -{ 1 }-> 2'(2'(1'(1'(2'(0'(0'(0'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(1'(0'(2'(0'(0'(0'(2'(2'(2'(1'(z - 34)))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 2'(1'(2'(1'(0'(1'(2'(0'(1'(1'(2'(2'(2'(2'(1'(2'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(1'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(2'(2'(2'(1'(2'(1'(1'(2'(0'(1'(z - 44)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(2'(2'(1'(0'(1'(1'(2'(2'(2'(2'(1'(1'(1'(2'(0'(0'(0'(2'(1'(0'(0'(0'(2'(2'(1'(z - 23)))))))))))))))))))))))))))) :|: z - 23 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(0'(1'(z - 12))))))))))))) :|: z - 12 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(2'(1'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(0'(2'(2'(1'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(0'(2'(0'(0'(1'(1'(2'(1'(0'(z - 39))))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(1'(2'(0'(0'(1'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(1'(1'(z - 37))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(1'(1'(1'(1'(0'(2'(2'(0'(1'(2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(2'(z - 41))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(2'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(0'(1'(2'(2'(2'(1'(2'(0'(1'(1'(1'(0'(0'(1'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(1'(2'(z - 42))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(0'(1'(2'(0'(1'(0'(2'(0'(0'(1'(2'(0'(1'(0'(1'(2'(1'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(1'(1'(z - 44)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(z - 9))))))))))) :|: z - 9 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(1'(0'(1'(1'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(0'(0'(1'(2'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(0'(1'(0'(2'(0'(2'(0'(2'(2'(1'(0'(1'(2'(0'(1'(1'(2'(0'(2'(z - 48)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   0'(z) -{ 1 }-> 1'(1'(2'(0'(2'(1'(1'(1'(0'(1'(1'(2'(0'(0'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(0'(1'(z - 44))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 1 }-> 1'(1'(1'(2'(2'(2'(0'(1'(1'(0'(1'(1'(0'(2'(2'(2'(2'(1'(0'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(1'(2'(0'(2'(2'(0'(z - 32))))))))))))))))))))))))))))))))))) :|: z - 32 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(2'(1'(0'(0'(0'(1'(1'(0'(1'(2'(1'(1'(0'(1'(1'(0'(2'(2'(1'(1'(1'(1'(0'(2'(0'(1'(2'(2'(1'(1'(z - 37)))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 1 }-> 1'(1'(0'(1'(2'(2'(0'(0'(0'(0'(2'(2'(1'(2'(0'(0'(1'(2'(0'(1'(0'(2'(1'(2'(1'(2'(1'(0'(2'(1'(0'(z - 29))))))))))))))))))))))))))))))) :|: z - 29 >= 0
   0'(z) -{ 1 }-> 1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(1'(2'(2'(0'(0'(z - 27))))))))))))))))))))))))))))) :|: z - 27 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(2'(1'(2'(2'(1'(1'(1'(2'(2'(2'(2'(1'(1'(2'(0'(2'(1'(1'(2'(z - 19)))))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(2'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(2'(1'(0'(1'(1'(1'(0'(0'(1'(2'(2'(z - 31))))))))))))))))))))))))))))))))) :|: z - 31 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(2'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(1'(2'(1'(0'(2'(1'(1'(0'(0'(2'(0'(2'(2'(2'(0'(2'(2'(0'(0'(1'(0'(z - 43))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(1'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(2'(2'(1'(2'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(1'(2'(1'(z - 28)))))))))))))))))))))))))))))))) :|: z - 28 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(0'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(1'(2'(1'(0'(0'(1'(z - 29)))))))))))))))))))))))))))))))) :|: z - 29 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(2'(1'(1'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(1'(1'(1'(z - 29))))))))))))))))))))))))))))))))) :|: z - 29 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(2'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(1'(1'(2'(2'(0'(2'(1'(0'(2'(0'(1'(2'(2'(2'(2'(2'(2'(1'(2'(2'(1'(z - 20))))))))))))))))))))))))))))))))))) :|: z - 20 >= 0
   0'(z) -{ 0 }-> 0 :|: z >= 0
   0'(z) -{ 0 }-> 1 + z :|: z >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(1'(2'(0'(2'(2'(2'(1'(z - 6)))))))))) :|: z - 6 >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(0'(0'(2'(1'(1'(2'(1'(2'(0'(2'(1'(2'(2'(1'(2'(2'(1'(z - 16)))))))))))))))))))) :|: z - 16 >= 0
   1'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(2'(2'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(0'(2'(1'(2'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(2'(1'(2'(z - 41))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   1'(z) -{ 1 }-> 2'(1'(1'(2'(1'(0'(2'(0'(1'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(2'(2'(1'(2'(1'(0'(0'(1'(0'(z - 37))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(1'(1'(1'(1'(2'(1'(2'(1'(2'(0'(1'(1'(1'(0'(1'(z - 19)))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(2'(2'(1'(1'(2'(0'(1'(1'(1'(1'(2'(1'(2'(0'(2'(1'(2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(2'(2'(z - 39)))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(2'(2'(0'(0'(2'(2'(2'(1'(1'(1'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(0'(1'(0'(1'(1'(2'(z - 44)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(2'(0'(2'(1'(1'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(1'(2'(2'(0'(1'(1'(1'(0'(1'(1'(1'(0'(2'(1'(z - 34)))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(2'(2'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(0'(0'(2'(z - 34)))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(2'(1'(0'(0'(2'(1'(2'(2'(2'(1'(1'(1'(2'(0'(z - 13))))))))))))))))) :|: z - 13 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(1'(2'(0'(1'(2'(2'(1'(1'(0'(2'(2'(2'(1'(0'(0'(1'(1'(0'(2'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(2'(0'(2'(1'(z - 40))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(2'(1'(1'(0'(2'(2'(2'(1'(0'(2'(1'(z - 11)))))))))))))) :|: z - 11 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(2'(2'(2'(1'(0'(0'(2'(1'(1'(1'(1'(1'(1'(2'(0'(0'(0'(0'(1'(2'(1'(0'(0'(1'(z - 39)))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   1'(z) -{ 1 }-> 1'(1'(1'(2'(0'(0'(2'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(2'(1'(0'(2'(0'(0'(2'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(2'(1'(z - 34))))))))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(2'(0'(1'(0'(1'(2'(1'(0'(1'(1'(0'(0'(2'(2'(1'(0'(1'(z - 18)))))))))))))))))))) :|: z - 18 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(1'(2'(0'(2'(2'(0'(2'(0'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(0'(0'(2'(z - 33))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(2'(1'(2'(2'(2'(2'(1'(2'(0'(1'(1'(z - 19)))))))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(1'(0'(1'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(z - 20)))))))))))))))))))))) :|: z - 20 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(2'(2'(0'(1'(2'(2'(1'(1'(2'(1'(2'(0'(2'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(1'(0'(2'(2'(2'(1'(1'(1'(1'(0'(1'(2'(2'(2'(1'(1'(z - 39))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(2'(1'(1'(2'(2'(1'(0'(1'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(1'(2'(1'(1'(1'(0'(1'(0'(2'(0'(1'(0'(1'(2'(1'(2'(2'(2'(0'(2'(z - 35))))))))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0
   1'(z) -{ 0 }-> 0 :|: z >= 0
   1'(z) -{ 0 }-> 1 + z :|: z >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(0'(2'(0'(2'(0'(0'(2'(z - 11))))))))))))) :|: z - 11 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(1'(2'(1'(2'(2'(1'(1'(2'(1'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(1'(2'(2'(1'(0'(1'(2'(1'(1'(2'(0'(1'(0'(1'(0'(2'(1'(1'(2'(2'(1'(1'(2'(2'(2'(0'(2'(z - 48))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(2'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(2'(2'(1'(1'(0'(0'(0'(1'(z - 20)))))))))))))))))))))) :|: z - 20 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(2'(1'(1'(2'(0'(2'(2'(1'(z - 38))))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(2'(2'(0'(0'(2'(1'(0'(1'(1'(1'(2'(0'(2'(1'(1'(2'(2'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(1'(2'(2'(z - 27)))))))))))))))))))))))))))))))))) :|: z - 27 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(2'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(0'(0'(2'(0'(2'(2'(2'(2'(1'(2'(0'(2'(z - 28)))))))))))))))))))))))))))))))))) :|: z - 28 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(2'(1'(2'(1'(1'(0'(0'(2'(2'(2'(1'(0'(2'(0'(1'(1'(0'(1'(1'(0'(2'(0'(2'(0'(1'(2'(1'(0'(1'(2'(2'(0'(2'(2'(2'(2'(1'(2'(1'(1'(1'(1'(0'(0'(2'(z - 44)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(0'(2'(1'(2'(2'(0'(2'(1'(0'(2'(z - 37))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(0'(2'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(2'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(1'(0'(1'(2'(1'(2'(2'(2'(1'(1'(1'(1'(z - 40))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(2'(2'(0'(1'(2'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(1'(0'(1'(2'(1'(2'(2'(z - 36)))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(1'(1'(0'(1'(2'(1'(2'(2'(1'(2'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(1'(2'(1'(0'(0'(0'(1'(1'(1'(2'(0'(z - 37))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(2'(1'(0'(1'(2'(0'(2'(1'(2'(1'(2'(2'(0'(2'(1'(2'(2'(1'(0'(2'(2'(2'(2'(1'(0'(1'(2'(2'(0'(z - 33)))))))))))))))))))))))))))))))))) :|: z - 33 >= 0
   2'(z) -{ 1 }-> 1'(2'(1'(1'(2'(1'(2'(2'(2'(1'(1'(0'(0'(2'(0'(1'(2'(0'(2'(2'(2'(2'(2'(0'(2'(2'(1'(1'(0'(0'(0'(1'(0'(1'(z - 29)))))))))))))))))))))))))))))))))) :|: z - 29 >= 0
   2'(z) -{ 1 }-> 1'(2'(1'(1'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(2'(z - 15)))))))))))))))))))))) :|: z - 15 >= 0
   2'(z) -{ 1 }-> 1'(2'(1'(0'(2'(1'(2'(0'(1'(1'(2'(1'(2'(2'(1'(1'(1'(2'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(1'(0'(0'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(2'(1'(1'(1'(1'(2'(2'(1'(0'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   2'(z) -{ 1 }-> 1'(2'(0'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(1'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(2'(2'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(0'(2'(2'(2'(0'(2'(2'(z - 43)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   2'(z) -{ 1 }-> 1'(1'(2'(0'(2'(1'(2'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(2'(2'(1'(1'(1'(0'(1'(2'(2'(2'(z - 31))))))))))))))))))))))))))))))))) :|: z - 31 >= 0
   2'(z) -{ 1 }-> 1'(1'(1'(1'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(1'(2'(1'(2'(1'(0'(2'(2'(1'(2'(0'(1'(2'(0'(2'(0'(0'(1'(1'(1'(0'(1'(z - 43)))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   2'(z) -{ 1 }-> 1'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(1'(z - 27))))))))))))))))))))))))))))) :|: z - 27 >= 0
   2'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(0'(0'(1'(2'(1'(0'(1'(2'(0'(0'(1'(2'(1'(1'(1'(2'(1'(0'(1'(1'(1'(2'(1'(1'(0'(1'(2'(0'(1'(1'(2'(z - 49)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 49 >= 0
   2'(z) -{ 1 }-> 1'(0'(2'(2'(0'(2'(1'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(2'(1'(1'(0'(1'(2'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(0'(2'(2'(z - 48)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   2'(z) -{ 1 }-> 1'(0'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(1'(0'(1'(2'(1'(z - 13))))))))))))))))) :|: z - 13 >= 0
   2'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(0'(2'(2'(0'(1'(2'(1'(2'(0'(2'(z - 15)))))))))))))))) :|: z - 15 >= 0
   2'(z) -{ 1 }-> 1'(0'(0'(1'(1'(1'(2'(2'(1'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(1'(0'(1'(2'(1'(1'(2'(2'(2'(0'(1'(2'(2'(z - 29)))))))))))))))))))))))))))))))) :|: z - 29 >= 0
   2'(z) -{ 1 }-> 1'(0'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(0'(2'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(z - 24)))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 1 }-> 0'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(z - 9))))))))))))) :|: z - 9 >= 0
   2'(z) -{ 1 }-> 0'(2'(1'(1'(1'(2'(2'(1'(2'(1'(0'(1'(2'(0'(z - 11)))))))))))))) :|: z - 11 >= 0
   2'(z) -{ 1 }-> 0'(1'(2'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(2'(0'(0'(1'(0'(0'(2'(1'(2'(1'(2'(2'(1'(1'(2'(z - 24)))))))))))))))))))))))))))) :|: z - 24 >= 0
   2'(z) -{ 1 }-> 0'(1'(1'(1'(0'(2'(1'(2'(2'(2'(1'(1'(z - 10)))))))))))) :|: z - 10 >= 0
   2'(z) -{ 1 }-> 0'(1'(0'(2'(2'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(2'(1'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(0'(1'(1'(2'(2'(0'(2'(0'(1'(1'(2'(0'(2'(2'(1'(z - 45))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   2'(z) -{ 1 }-> 0'(0'(1'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(1'(2'(0'(1'(2'(0'(1'(1'(2'(2'(1'(2'(1'(0'(0'(2'(0'(1'(1'(1'(2'(2'(1'(1'(z - 30)))))))))))))))))))))))))))))))))))))) :|: z - 30 >= 0
   2'(z) -{ 0 }-> 0 :|: z >= 0
   2'(z) -{ 0 }-> 1 + z :|: z >= 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'(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'(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'(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'(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'(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


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

(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_2(v0) -> null_encode_2 [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   2'(v0) -> null_2' [0]

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

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

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

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

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

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

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_2 => 0
   null_0' => 0
   null_1' => 0
   null_2' => 0
   const => 0

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

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

   0'(z) -{ 1 }-> 2'(2'(2'(1'(1'(2'(1'(0'(1'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   0'(z) -{ 1 }-> 2'(2'(1'(1'(2'(0'(0'(0'(0'(2'(2'(2'(2'(2'(0'(1'(2'(0'(0'(1'(0'(0'(1'(0'(2'(2'(1'(0'(2'(0'(0'(0'(2'(2'(2'(1'(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) -{ 1 }-> 2'(1'(2'(1'(0'(1'(2'(0'(1'(1'(2'(2'(2'(2'(1'(2'(0'(1'(2'(1'(0'(0'(2'(1'(2'(1'(0'(1'(2'(2'(2'(2'(0'(1'(2'(1'(0'(1'(2'(2'(2'(1'(2'(1'(1'(2'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(2'(2'(1'(0'(1'(1'(2'(2'(2'(2'(1'(1'(1'(2'(0'(0'(0'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(2'(2'(1'(0'(0'(0'(1'(0'(0'(1'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))
   0'(z) -{ 1 }-> 2'(0'(1'(2'(1'(1'(2'(1'(2'(0'(2'(2'(2'(2'(2'(2'(1'(0'(1'(2'(0'(2'(2'(1'(0'(0'(0'(2'(2'(0'(2'(0'(1'(0'(0'(0'(0'(2'(0'(0'(1'(1'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(2'(1'(0'(1'(2'(0'(0'(1'(2'(1'(0'(1'(2'(0'(1'(2'(0'(1'(2'(0'(1'(0'(0'(0'(2'(1'(1'(0'(2'(1'(2'(2'(2'(2'(1'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(1'(1'(1'(1'(0'(2'(2'(0'(1'(2'(1'(2'(1'(2'(0'(0'(2'(1'(0'(1'(0'(0'(0'(1'(2'(1'(0'(2'(2'(1'(2'(0'(1'(0'(0'(0'(2'(0'(0'(0'(0'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(2'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(0'(1'(2'(2'(2'(1'(2'(0'(1'(1'(1'(0'(0'(1'(2'(2'(2'(2'(2'(2'(1'(0'(0'(0'(2'(2'(2'(2'(2'(1'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(0'(1'(2'(0'(1'(0'(2'(0'(0'(1'(2'(0'(1'(0'(1'(2'(1'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(1'(2'(2'(1'(2'(2'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(1'(0'(2'(2'(1'(2'(2'(2'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   0'(z) -{ 1 }-> 1'(2'(1'(1'(0'(1'(1'(1'(1'(2'(1'(0'(1'(1'(1'(2'(2'(0'(0'(1'(2'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(0'(1'(0'(2'(0'(2'(0'(2'(2'(1'(0'(1'(2'(0'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(0'(2'(1'(1'(1'(0'(1'(1'(2'(0'(0'(0'(0'(2'(2'(2'(1'(1'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 1'(1'(1'(2'(2'(2'(0'(1'(1'(0'(1'(1'(0'(2'(2'(2'(2'(1'(0'(1'(0'(1'(1'(0'(2'(1'(1'(0'(1'(1'(2'(0'(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 + x1)))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(2'(1'(0'(0'(0'(1'(1'(0'(1'(2'(1'(1'(0'(1'(1'(0'(2'(2'(1'(1'(1'(1'(0'(2'(0'(1'(2'(2'(1'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(0'(1'(2'(2'(0'(0'(0'(0'(2'(2'(1'(2'(0'(0'(1'(2'(0'(1'(0'(2'(1'(2'(1'(2'(1'(0'(2'(1'(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 + x1))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(1'(1'(2'(0'(2'(1'(0'(0'(1'(2'(1'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(1'(2'(2'(0'(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 + x1))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(2'(1'(2'(2'(1'(1'(1'(2'(2'(2'(2'(1'(1'(2'(0'(2'(1'(1'(2'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(0'(2'(1'(0'(0'(0'(2'(0'(0'(0'(0'(0'(0'(0'(1'(2'(1'(1'(2'(1'(2'(1'(0'(1'(1'(1'(0'(0'(1'(2'(2'(x1))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))), x1 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(2'(2'(2'(1'(0'(0'(0'(1'(1'(0'(2'(2'(2'(2'(1'(1'(0'(1'(2'(2'(1'(1'(1'(1'(2'(1'(0'(2'(1'(1'(0'(0'(2'(0'(2'(2'(2'(0'(2'(2'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(2'(2'(1'(2'(0'(2'(1'(0'(2'(1'(0'(0'(2'(2'(2'(1'(2'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(1'(2'(1'(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 + x1)))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(0'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(1'(2'(1'(0'(0'(1'(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 + x1))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(1'(2'(1'(1'(2'(2'(2'(0'(2'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(2'(1'(1'(1'(1'(1'(1'(1'(1'(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 + x1))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(2'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(1'(1'(2'(2'(0'(2'(1'(0'(2'(0'(1'(2'(2'(2'(2'(2'(2'(1'(2'(2'(1'(x1))))))))))))))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(1'(2'(0'(2'(2'(2'(1'(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x1)))))
   1'(z) -{ 1 }-> 2'(2'(1'(0'(0'(2'(1'(1'(2'(1'(2'(0'(2'(1'(2'(2'(1'(2'(2'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(1'(1'(1'(1'(0'(0'(2'(1'(2'(2'(2'(2'(2'(1'(2'(0'(0'(2'(2'(1'(1'(0'(2'(1'(2'(1'(0'(2'(0'(0'(1'(1'(0'(0'(0'(1'(2'(1'(2'(x1))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(1'(2'(1'(0'(2'(0'(1'(2'(0'(1'(1'(2'(2'(1'(2'(2'(2'(1'(1'(0'(2'(0'(2'(0'(0'(1'(0'(0'(2'(2'(1'(2'(1'(0'(0'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(2'(1'(1'(1'(1'(1'(1'(2'(1'(2'(1'(2'(0'(1'(1'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(2'(2'(2'(1'(1'(2'(0'(1'(1'(1'(1'(2'(1'(2'(0'(2'(1'(2'(2'(2'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(1'(1'(1'(0'(2'(1'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(1'(0'(1'(2'(0'(0'(0'(0'(0'(0'(2'(2'(2'(0'(0'(2'(2'(2'(1'(1'(1'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(2'(2'(2'(1'(0'(1'(0'(1'(1'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(2'(0'(2'(1'(1'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(2'(1'(1'(2'(1'(1'(2'(2'(0'(1'(1'(1'(0'(1'(1'(1'(0'(2'(1'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(2'(2'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(2'(0'(1'(1'(1'(2'(0'(0'(2'(1'(0'(1'(0'(0'(1'(2'(2'(0'(1'(1'(0'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(2'(1'(0'(0'(2'(1'(2'(2'(2'(1'(1'(1'(2'(0'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(1'(2'(0'(1'(2'(2'(1'(1'(0'(2'(2'(2'(1'(0'(0'(1'(1'(0'(2'(1'(1'(2'(2'(0'(0'(0'(0'(1'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(2'(1'(2'(0'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(2'(1'(1'(0'(2'(2'(2'(1'(0'(2'(1'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(1'(1'(1'(0'(2'(1'(1'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(2'(2'(2'(1'(0'(0'(2'(1'(1'(1'(1'(1'(1'(2'(0'(0'(0'(0'(1'(2'(1'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(1'(2'(0'(0'(2'(1'(2'(2'(2'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(2'(2'(1'(2'(1'(0'(2'(0'(0'(2'(2'(2'(2'(2'(0'(0'(2'(2'(2'(2'(2'(1'(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)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(2'(0'(1'(0'(1'(2'(1'(0'(1'(1'(0'(0'(2'(2'(1'(0'(1'(x1)))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(1'(2'(0'(2'(2'(0'(2'(0'(0'(2'(1'(1'(2'(1'(0'(1'(2'(1'(0'(0'(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 + x1))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(2'(2'(1'(2'(2'(2'(2'(1'(2'(0'(1'(1'(x1)))))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(1'(0'(1'(2'(2'(1'(2'(1'(1'(2'(1'(0'(2'(1'(1'(2'(0'(2'(1'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(2'(2'(0'(1'(2'(2'(1'(1'(2'(1'(2'(0'(2'(2'(2'(0'(1'(2'(1'(1'(0'(1'(1'(0'(1'(0'(2'(2'(2'(1'(1'(1'(1'(0'(1'(2'(2'(2'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(2'(1'(1'(2'(2'(1'(0'(1'(2'(1'(2'(0'(0'(1'(2'(1'(2'(2'(1'(2'(1'(1'(1'(0'(1'(0'(2'(0'(1'(0'(1'(2'(1'(2'(2'(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 + (1 + x1))))))))))))))))))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(0'(2'(0'(2'(0'(0'(2'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   2'(z) -{ 1 }-> 2'(2'(2'(1'(2'(1'(2'(2'(1'(1'(2'(1'(0'(2'(0'(1'(1'(2'(0'(2'(0'(1'(1'(2'(2'(1'(0'(1'(2'(1'(1'(2'(0'(1'(0'(1'(0'(2'(1'(1'(2'(2'(1'(1'(2'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(2'(2'(2'(1'(2'(1'(2'(0'(0'(1'(0'(2'(2'(1'(1'(0'(0'(0'(1'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(0'(2'(0'(0'(0'(2'(1'(2'(2'(2'(0'(0'(0'(0'(2'(1'(2'(2'(2'(2'(1'(0'(0'(2'(0'(0'(1'(2'(0'(1'(2'(1'(1'(2'(0'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(2'(2'(2'(0'(0'(2'(1'(0'(1'(1'(1'(2'(0'(2'(1'(1'(2'(2'(1'(2'(0'(1'(2'(1'(2'(2'(2'(2'(1'(2'(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 + x1))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(2'(0'(1'(2'(1'(1'(0'(0'(2'(1'(2'(0'(0'(2'(0'(2'(2'(2'(2'(1'(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 + x1)))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(2'(1'(2'(1'(1'(0'(0'(2'(2'(2'(1'(0'(2'(0'(1'(1'(0'(1'(1'(0'(2'(0'(2'(0'(1'(2'(1'(0'(1'(2'(2'(0'(2'(2'(2'(2'(1'(2'(1'(1'(1'(1'(0'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (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))))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(0'(1'(2'(0'(1'(0'(0'(0'(0'(0'(1'(0'(2'(1'(2'(2'(0'(2'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(0'(2'(2'(2'(0'(2'(2'(1'(2'(1'(2'(0'(2'(2'(0'(0'(0'(2'(2'(1'(0'(2'(0'(1'(0'(1'(2'(1'(2'(2'(2'(1'(1'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(2'(2'(0'(1'(2'(2'(1'(2'(2'(2'(1'(2'(1'(2'(2'(0'(1'(0'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(1'(0'(1'(2'(1'(2'(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 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(1'(1'(1'(0'(1'(2'(1'(2'(2'(1'(2'(2'(2'(2'(2'(0'(1'(2'(1'(2'(1'(1'(1'(0'(1'(1'(2'(1'(0'(0'(0'(1'(1'(1'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(1'(2'(2'(2'(1'(0'(1'(2'(0'(2'(1'(2'(1'(2'(2'(0'(2'(1'(2'(2'(1'(0'(2'(2'(2'(2'(1'(0'(1'(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 + x1))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(1'(2'(1'(2'(2'(2'(1'(1'(0'(0'(2'(0'(1'(2'(0'(2'(2'(2'(2'(2'(0'(2'(2'(1'(1'(0'(0'(0'(1'(0'(1'(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 + x1))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(1'(0'(2'(2'(2'(2'(2'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(2'(x1)))))))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(1'(0'(2'(1'(2'(0'(1'(1'(2'(1'(2'(2'(1'(1'(1'(2'(1'(1'(1'(2'(0'(0'(2'(0'(2'(0'(1'(0'(0'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(2'(1'(1'(1'(1'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(2'(0'(0'(1'(0'(1'(2'(2'(1'(1'(2'(0'(1'(1'(1'(2'(1'(0'(1'(2'(1'(1'(2'(2'(2'(2'(2'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(0'(2'(2'(2'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(2'(0'(2'(1'(2'(2'(0'(1'(1'(0'(2'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(2'(2'(1'(1'(1'(0'(1'(2'(2'(2'(x1))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (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)))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 1'(1'(1'(1'(1'(1'(2'(1'(1'(2'(2'(2'(2'(2'(1'(2'(1'(0'(2'(2'(0'(2'(1'(2'(1'(2'(1'(0'(2'(2'(1'(2'(0'(1'(2'(0'(2'(0'(0'(1'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(0'(2'(0'(2'(0'(0'(1'(2'(2'(1'(2'(2'(2'(1'(0'(1'(2'(2'(0'(2'(1'(1'(1'(2'(2'(1'(1'(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 + x1))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(1'(0'(0'(0'(0'(2'(0'(0'(1'(0'(0'(2'(1'(0'(1'(1'(2'(1'(0'(0'(1'(2'(1'(0'(1'(2'(0'(0'(1'(2'(1'(1'(1'(2'(1'(0'(1'(1'(1'(2'(1'(1'(0'(1'(2'(0'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(2'(2'(0'(2'(1'(1'(1'(0'(1'(0'(1'(0'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(0'(2'(2'(1'(2'(1'(2'(1'(1'(0'(1'(2'(2'(1'(0'(2'(2'(2'(2'(1'(2'(1'(0'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(2'(1'(2'(1'(0'(2'(2'(0'(2'(2'(1'(0'(1'(2'(1'(x1))))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(0'(2'(2'(0'(1'(2'(1'(2'(0'(2'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(1'(1'(1'(2'(2'(1'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(1'(0'(1'(2'(1'(1'(2'(2'(2'(0'(1'(2'(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 + x1))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 1'(0'(0'(0'(2'(0'(1'(1'(2'(1'(1'(0'(0'(2'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(2'(2'(x1)))))))))))))))))))))))))) :|: z = 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))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(2'(2'(1'(1'(2'(2'(2'(2'(1'(0'(1'(2'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   2'(z) -{ 1 }-> 0'(2'(1'(1'(1'(2'(2'(1'(2'(1'(0'(1'(2'(0'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   2'(z) -{ 1 }-> 0'(1'(2'(2'(0'(1'(2'(1'(1'(0'(2'(2'(0'(2'(0'(0'(1'(0'(0'(2'(1'(2'(1'(2'(2'(1'(1'(2'(x1)))))))))))))))))))))))))))) :|: z = 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))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 0'(1'(1'(1'(0'(2'(1'(2'(2'(2'(1'(1'(x1)))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   2'(z) -{ 1 }-> 0'(1'(0'(2'(2'(0'(0'(1'(0'(0'(1'(0'(1'(1'(0'(0'(1'(1'(1'(1'(1'(1'(2'(1'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(0'(1'(1'(2'(2'(0'(2'(0'(1'(1'(2'(0'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 0'(0'(1'(0'(2'(1'(2'(2'(2'(2'(1'(2'(2'(2'(1'(2'(0'(1'(2'(0'(1'(1'(2'(2'(1'(2'(1'(0'(0'(2'(0'(1'(1'(1'(2'(2'(1'(1'(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 + x1)))))))))))))))))))))))))))))
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 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

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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(1(1(0(1(1(2(0(0(0(0(2(2(2(1(1(2(2(1(2(1(0(2(1(0(2(1(1(1(0(2(1(0(1(0(0(1(1(0(2(2(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(0(1(2(0(1(1(2(2(2(2(1(2(0(1(2(1(0(0(2(1(2(1(0(1(2(2(2(2(0(1(2(1(0(1(2(2(2(1(2(1(1(2(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(1(2(1(2(1(2(2(1(1(1(0(1(2(0(1(0(2(0(0(1(2(0(1(0(1(2(1(1(2(2(0(2(1(0(0(0(0(1(2(2(1(2(2(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))) -> 0(2(2(2(1(2(0(2(1(0(2(1(0(0(2(2(2(1(2(0(2(1(1(0(1(1(2(2(0(1(2(1(z0))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))))))) -> 1(0(0(2(1(2(2(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
   0'(z0) -> c6
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   0'(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> c8(1'(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))))), 1'(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))), 0'(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))), 1'(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))), 0'(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))), 2'(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))), 2'(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))), 0'(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))), 1'(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))), 2'(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))), 0'(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))), 1'(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))), 0'(2(1(2(1(2(1(0(2(1(0(z0))))))))))), 2'(1(2(1(2(1(0(2(1(0(z0)))))))))), 1'(2(1(2(1(0(2(1(0(z0))))))))), 2'(1(2(1(0(2(1(0(z0)))))))), 1'(2(1(0(2(1(0(z0))))))), 2'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> c27(2'(0(1(2(2(1(0(0(0(1(0(0(1(z0))))))))))))), 0'(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))), 1'(2(2(1(0(0(0(1(0(0(1(z0))))))))))), 2'(2(1(0(0(0(1(0(0(1(z0)))))))))), 2'(1(0(0(0(1(0(0(1(z0))))))))), 1'(0(0(0(1(0(0(1(z0)))))))), 0'(0(0(1(0(0(1(z0))))))), 0'(0(1(0(0(1(z0)))))), 0'(1(0(0(1(z0))))), 1'(0(0(1(z0)))), 0'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))))))))) -> c29(1'(0(0(2(1(2(2(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0)))))))))))))))))))))), 0'(0(2(1(2(2(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0))))))))))))))))))))), 0'(2(1(2(2(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0)))))))))))))))))))), 2'(1(2(2(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0))))))))))))))))))), 1'(2(2(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0)))))))))))))))))), 2'(2(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0))))))))))))))))), 2'(1(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0)))))))))))))))), 1'(1(1(2(2(2(2(1(1(2(0(2(1(1(2(z0))))))))))))))), 1'(1(2(2(2(2(1(1(2(0(2(1(1(2(z0)))))))))))))), 1'(2(2(2(2(1(1(2(0(2(1(1(2(z0))))))))))))), 2'(2(2(2(1(1(2(0(2(1(1(2(z0)))))))))))), 2'(2(2(1(1(2(0(2(1(1(2(z0))))))))))), 2'(2(1(1(2(0(2(1(1(2(z0)))))))))), 2'(1(1(2(0(2(1(1(2(z0))))))))), 1'(1(2(0(2(1(1(2(z0)))))))), 1'(2(0(2(1(1(2(z0))))))), 2'(0(2(1(1(2(z0)))))), 0'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
   0'(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> c30(1'(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))))))))))))))))))), 0'(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))), 1'(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))))))))))))))))), 1'(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))), 2'(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))))))))))))))), 0'(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))), 2'(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))))))))))))), 1'(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))), 0'(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))))))))))), 0'(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))), 1'(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))))))))), 2'(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))), 1'(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))))))), 0'(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))), 0'(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))))), 2'(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))), 1'(0(0(1(2(0(1(1(1(2(2(0(0(z0))))))))))))), 0'(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))), 0'(1(2(0(1(1(1(2(2(0(0(z0))))))))))), 1'(2(0(1(1(1(2(2(0(0(z0)))))))))), 2'(0(1(1(1(2(2(0(0(z0))))))))), 0'(1(1(1(2(2(0(0(z0)))))))), 1'(1(1(2(2(0(0(z0))))))), 1'(1(2(2(0(0(z0)))))), 1'(2(2(0(0(z0))))), 2'(2(0(0(z0)))), 2'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(z0) -> c31
   1'(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> c32(2'(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))), 2'(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))), 1'(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))))))))))))), 1'(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))), 2'(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))))), 2'(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))), 2'(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))))), 2'(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))), 2'(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))))), 1'(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))), 2'(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))))), 0'(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))), 0'(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))))), 2'(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))), 2'(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))))), 1'(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))), 1'(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))))), 0'(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))), 2'(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))))), 1'(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))), 2'(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))))), 1'(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))), 0'(2(0(0(1(1(0(0(0(1(2(1(2(z0))))))))))))), 2'(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))), 0'(0(1(1(0(0(0(1(2(1(2(z0))))))))))), 0'(1(1(0(0(0(1(2(1(2(z0)))))))))), 1'(1(0(0(0(1(2(1(2(z0))))))))), 1'(0(0(0(1(2(1(2(z0)))))))), 0'(0(0(1(2(1(2(z0))))))), 0'(0(1(2(1(2(z0)))))), 0'(1(2(1(2(z0))))), 1'(2(1(2(z0)))), 2'(1(2(z0))), 1'(2(z0)), 2'(z0))
   1'(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> c33(1'(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))), 0'(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))), 2'(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))))))), 2'(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))), 2'(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))))), 2'(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))), 2'(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))))), 1'(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))), 2'(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))))), 2'(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))), 2'(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))))), 2'(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))), 0'(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))))), 1'(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))), 1'(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))))), 1'(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))), 2'(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))))), 0'(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))), 0'(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))))), 2'(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))), 1'(0(1(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))))), 0'(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))), 1'(0(0(1(2(2(0(1(1(0(0(2(z0)))))))))))), 0'(0(1(2(2(0(1(1(0(0(2(z0))))))))))), 0'(1(2(2(0(1(1(0(0(2(z0)))))))))), 1'(2(2(0(1(1(0(0(2(z0))))))))), 2'(2(0(1(1(0(0(2(z0)))))))), 2'(0(1(1(0(0(2(z0))))))), 0'(1(1(0(0(2(z0)))))), 1'(1(0(0(2(z0))))), 1'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   1'(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> c43(1'(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0)))))))))))))))))))))), 0'(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))), 2'(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0)))))))))))))))))))), 1'(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))), 0'(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0)))))))))))))))))), 1'(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))), 2'(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0)))))))))))))))), 2'(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))), 1'(2(1(1(2(1(0(2(1(1(2(0(2(1(z0)))))))))))))), 2'(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))), 1'(1(2(1(0(2(1(1(2(0(2(1(z0)))))))))))), 1'(2(1(0(2(1(1(2(0(2(1(z0))))))))))), 2'(1(0(2(1(1(2(0(2(1(z0)))))))))), 1'(0(2(1(1(2(0(2(1(z0))))))))), 0'(2(1(1(2(0(2(1(z0)))))))), 2'(1(1(2(0(2(1(z0))))))), 1'(1(2(0(2(1(z0)))))), 1'(2(0(2(1(z0))))), 2'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> c44(1'(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0)))))))))))))))))))), 2'(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))), 2'(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0)))))))))))))))))), 1'(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))), 1'(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0)))))))))))))))), 1'(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))), 1'(1(1(2(1(2(1(2(0(1(1(1(0(1(z0)))))))))))))), 1'(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))), 1'(2(1(2(1(2(0(1(1(1(0(1(z0)))))))))))), 2'(1(2(1(2(0(1(1(1(0(1(z0))))))))))), 1'(2(1(2(0(1(1(1(0(1(z0)))))))))), 2'(1(2(0(1(1(1(0(1(z0))))))))), 1'(2(0(1(1(1(0(1(z0)))))))), 2'(0(1(1(1(0(1(z0))))))), 0'(1(1(1(0(1(z0)))))), 1'(1(1(0(1(z0))))), 1'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> c45(1'(1(2(2(1(1(0(2(2(2(1(0(2(1(z0)))))))))))))), 1'(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))), 2'(2(1(1(0(2(2(2(1(0(2(1(z0)))))))))))), 2'(1(1(0(2(2(2(1(0(2(1(z0))))))))))), 1'(1(0(2(2(2(1(0(2(1(z0)))))))))), 1'(0(2(2(2(1(0(2(1(z0))))))))), 0'(2(2(2(1(0(2(1(z0)))))))), 2'(2(2(1(0(2(1(z0))))))), 2'(2(1(0(2(1(z0)))))), 2'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   1'(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> c51(1'(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))))), 0'(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))), 1'(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))))), 0'(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))), 0'(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))))), 1'(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))), 2'(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))))), 2'(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))), 1'(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))))), 0'(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))), 0'(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))))), 1'(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))), 2'(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))))), 0'(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))), 2'(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))))), 2'(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))), 0'(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))))), 2'(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))), 0'(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))))), 0'(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))), 2'(1(1(2(1(0(1(2(1(0(0(0(2(z0))))))))))))), 1'(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))), 1'(2(1(0(1(2(1(0(0(0(2(z0))))))))))), 2'(1(0(1(2(1(0(0(0(2(z0)))))))))), 1'(0(1(2(1(0(0(0(2(z0))))))))), 0'(1(2(1(0(0(0(2(z0)))))))), 1'(2(1(0(0(0(2(z0))))))), 2'(1(0(0(0(2(z0)))))), 1'(0(0(0(2(z0))))), 0'(0(0(2(z0)))), 0'(0(2(z0))), 0'(2(z0)), 2'(z0))
   2'(z0) -> c52
   2'(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> c53(1'(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0))))))))))))))))), 0'(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))), 2'(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0))))))))))))))), 1'(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))), 2'(1(0(2(2(0(2(2(1(0(1(2(1(z0))))))))))))), 1'(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))), 0'(2(2(0(2(2(1(0(1(2(1(z0))))))))))), 2'(2(0(2(2(1(0(1(2(1(z0)))))))))), 2'(0(2(2(1(0(1(2(1(z0))))))))), 0'(2(2(1(0(1(2(1(z0)))))))), 2'(2(1(0(1(2(1(z0))))))), 2'(1(0(1(2(1(z0)))))), 1'(0(1(2(1(z0))))), 0'(1(2(1(z0)))), 1'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> c54(0'(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))))))))))))))))))), 1'(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))), 2'(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))))))))))))))))), 2'(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))), 0'(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))))))))))))))), 1'(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))), 2'(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))))))))))))), 1'(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))), 1'(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))))))))))), 0'(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))), 2'(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))))))))), 2'(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))), 0'(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))))))), 2'(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))), 0'(0(1(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))))), 0'(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))), 1'(0(0(2(1(2(1(2(2(1(1(2(z0)))))))))))), 0'(0(2(1(2(1(2(2(1(1(2(z0))))))))))), 0'(2(1(2(1(2(2(1(1(2(z0)))))))))), 2'(1(2(1(2(2(1(1(2(z0))))))))), 1'(2(1(2(2(1(1(2(z0)))))))), 2'(1(2(2(1(1(2(z0))))))), 1'(2(2(1(1(2(z0)))))), 2'(2(1(1(2(z0))))), 2'(1(1(2(z0)))), 1'(1(2(z0))), 1'(2(z0)), 2'(z0))
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   2'(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> c56(1'(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))))))))))))))))))), 1'(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))), 2'(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))))))))))))))))), 0'(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))), 2'(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))))))))))))))), 1'(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))), 2'(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))))))))))))), 2'(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))), 0'(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))))))))))), 1'(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))), 1'(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))))))))), 0'(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))), 2'(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))))))), 0'(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))), 1'(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))))), 2'(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))), 0'(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))))), 0'(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))), 1'(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))))), 1'(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))), 1'(0(2(2(2(1(1(1(0(1(2(2(2(z0))))))))))))), 0'(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))), 2'(2(2(1(1(1(0(1(2(2(2(z0))))))))))), 2'(2(1(1(1(0(1(2(2(2(z0)))))))))), 2'(1(1(1(0(1(2(2(2(z0))))))))), 1'(1(1(0(1(2(2(2(z0)))))))), 1'(1(0(1(2(2(2(z0))))))), 1'(0(1(2(2(2(z0)))))), 0'(1(2(2(2(z0))))), 1'(2(2(2(z0)))), 2'(2(2(z0))), 2'(2(z0)), 2'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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S tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> c82(0'(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 1'(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 1'(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 1'(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 1'(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 2'(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 2'(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))), 1'(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))), 1'(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))), 0'(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))), 1'(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))), 1'(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))), 2'(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(2(0(1(1(2(0(2(2(1(z0))))))))))), 0'(2(0(1(1(2(0(2(2(1(z0)))))))))), 2'(0(1(1(2(0(2(2(1(z0))))))))), 0'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c6, c7_33, c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c31, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c52, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   2'(z0) -> c52
   0'(z0) -> c6
   1'(z0) -> c31

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

(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c4(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c5(2'(encArg(z0)), ENCARG(z0))
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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S tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> c82(0'(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 1'(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 1'(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 1'(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 1'(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 2'(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 2'(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))), 1'(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))), 1'(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))), 0'(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))), 1'(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))), 1'(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))), 2'(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(2(0(1(1(2(0(2(2(1(z0))))))))))), 0'(2(0(1(1(2(0(2(2(1(z0)))))))))), 2'(0(1(1(2(0(2(2(1(z0))))))))), 0'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c3_2, c4_2, c5_2, c7_33, c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41


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

(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
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   0'(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> c8(1'(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))))), 1'(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))), 0'(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))), 1'(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))), 0'(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))), 2'(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))), 2'(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))), 0'(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))), 1'(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))), 2'(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))), 0'(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))), 1'(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))), 0'(2(1(2(1(2(1(0(2(1(0(z0))))))))))), 2'(1(2(1(2(1(0(2(1(0(z0)))))))))), 1'(2(1(2(1(0(2(1(0(z0))))))))), 2'(1(2(1(0(2(1(0(z0)))))))), 1'(2(1(0(2(1(0(z0))))))), 2'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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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   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
   ENCODE_2(z0) -> c6(ENCARG(z0))
S tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> c82(0'(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 1'(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 1'(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 1'(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 1'(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 2'(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 2'(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))), 1'(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))), 1'(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))), 0'(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))), 1'(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))), 1'(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))), 2'(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(2(0(1(1(2(0(2(2(1(z0))))))))))), 0'(2(0(1(1(2(0(2(2(1(z0)))))))))), 2'(0(1(1(2(0(2(2(1(z0))))))))), 0'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c7_33, c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41, c6_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 3 leading nodes:
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_2(z0) -> c6(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))
   encode_0(z0) -> 0(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
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   0'(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> c8(1'(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))))), 1'(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))), 0'(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))), 1'(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))), 0'(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))), 2'(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))), 2'(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))), 0'(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))), 1'(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))), 2'(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))), 0'(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))), 1'(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))), 0'(2(1(2(1(2(1(0(2(1(0(z0))))))))))), 2'(1(2(1(2(1(0(2(1(0(z0)))))))))), 1'(2(1(2(1(0(2(1(0(z0))))))))), 2'(1(2(1(0(2(1(0(z0)))))))), 1'(2(1(0(2(1(0(z0))))))), 2'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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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   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
S tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> c82(0'(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 1'(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 1'(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 1'(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 1'(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 2'(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 2'(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))), 1'(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))), 1'(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))), 0'(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))), 1'(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))), 1'(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))), 2'(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(2(0(1(1(2(0(2(2(1(z0))))))))))), 0'(2(0(1(1(2(0(2(2(1(z0)))))))))), 2'(0(1(1(2(0(2(2(1(z0))))))))), 0'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   2_1, 0_1, 1_1, encArg_1, encode_0_1, encode_1_1, encode_2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c7_33, c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41, c6_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_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))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
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   0'(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> c8(1'(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))))), 1'(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))), 0'(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))), 1'(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))), 0'(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))), 2'(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))), 2'(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))), 0'(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))), 1'(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))), 2'(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))), 0'(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))), 1'(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))), 0'(2(1(2(1(2(1(0(2(1(0(z0))))))))))), 2'(1(2(1(2(1(0(2(1(0(z0)))))))))), 1'(2(1(2(1(0(2(1(0(z0))))))))), 2'(1(2(1(0(2(1(0(z0)))))))), 1'(2(1(0(2(1(0(z0))))))), 2'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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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   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(2'(encArg(z0)))
S tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> c82(0'(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 1'(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 1'(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 1'(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 1'(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 2'(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 2'(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))), 1'(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))), 1'(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))), 0'(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))), 1'(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))), 1'(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))), 2'(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(2(0(1(1(2(0(2(2(1(z0))))))))))), 0'(2(0(1(1(2(0(2(2(1(z0)))))))))), 2'(0(1(1(2(0(2(2(1(z0))))))))), 0'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c_2, c1_2, c2_2, c7_33, c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41, c6_1


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

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

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

(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))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c1(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
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   0'(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> c8(1'(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))))), 1'(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))), 0'(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))), 1'(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))), 0'(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))), 2'(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))), 2'(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))), 0'(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))), 1'(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))), 2'(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))), 0'(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))), 1'(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))), 0'(2(1(2(1(2(1(0(2(1(0(z0))))))))))), 2'(1(2(1(2(1(0(2(1(0(z0)))))))))), 1'(2(1(2(1(0(2(1(0(z0))))))))), 2'(1(2(1(0(2(1(0(z0)))))))), 1'(2(1(0(2(1(0(z0))))))), 2'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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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   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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)))
S tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> c82(0'(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 1'(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 1'(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 1'(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 1'(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 2'(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 2'(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))), 1'(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))), 1'(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))), 0'(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))), 1'(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))), 1'(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))), 2'(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(2(0(1(1(2(0(2(2(1(z0))))))))))), 0'(2(0(1(1(2(0(2(2(1(z0)))))))))), 2'(0(1(1(2(0(2(2(1(z0))))))))), 0'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c1_2, c2_2, c7_33, c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41, c6_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)))

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

(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))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c2(2'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> c7(1'(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))))))))))), 0'(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))), 0'(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))))))))), 2'(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))))), 0'(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))), 2'(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))), 0'(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))), 0'(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))), 0'(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))), 0'(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))), 0'(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))), 1'(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))), 2'(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))), 1'(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))), 1'(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))), 2'(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))), 1'(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))), 2'(1(0(1(1(1(0(0(1(2(2(z0))))))))))), 1'(0(1(1(1(0(0(1(2(2(z0)))))))))), 0'(1(1(1(0(0(1(2(2(z0))))))))), 1'(1(1(0(0(1(2(2(z0)))))))), 1'(1(0(0(1(2(2(z0))))))), 1'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   0'(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> c8(1'(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))))), 1'(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))), 0'(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))))), 1'(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))))), 2'(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))), 0'(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))))), 0'(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))), 0'(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))))), 0'(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))), 2'(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))))), 2'(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))), 1'(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))))), 2'(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))), 0'(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))))), 0'(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))), 1'(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))))), 2'(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))), 0'(1(0(2(1(2(1(2(1(0(2(1(0(z0))))))))))))), 1'(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))), 0'(2(1(2(1(2(1(0(2(1(0(z0))))))))))), 2'(1(2(1(2(1(0(2(1(0(z0)))))))))), 1'(2(1(2(1(0(2(1(0(z0))))))))), 2'(1(2(1(0(2(1(0(z0)))))))), 1'(2(1(0(2(1(0(z0))))))), 2'(1(0(2(1(0(z0)))))), 1'(0(2(1(0(z0))))), 0'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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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   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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_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)))
S tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> c82(0'(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 1'(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 1'(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 1'(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 1'(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 2'(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 2'(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))), 1'(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))), 1'(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))), 0'(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))), 1'(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))), 1'(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))), 2'(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(2(0(1(1(2(0(2(2(1(z0))))))))))), 0'(2(0(1(1(2(0(2(2(1(z0)))))))))), 2'(0(1(1(2(0(2(2(1(z0))))))))), 0'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c2_2, c7_33, c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41, c6_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)))

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

(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))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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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   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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_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_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)))
S tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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))
   2'(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> c82(0'(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 0'(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 2'(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 1'(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 1'(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 1'(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 1'(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 1'(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 1'(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 2'(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 1'(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 2'(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 0'(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))), 1'(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))))), 1'(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))), 0'(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))))), 1'(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))), 1'(2(2(0(2(0(1(1(2(0(2(2(1(z0))))))))))))), 2'(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(2(0(1(1(2(0(2(2(1(z0))))))))))), 0'(2(0(1(1(2(0(2(2(1(z0)))))))))), 2'(0(1(1(2(0(2(2(1(z0))))))))), 0'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c7_33, c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41, c6_1, c_2, c1_2, c2_2


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> c7(1'(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))))))))))), 0'(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))), 0'(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))))))))), 2'(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))))))), 0'(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))), 0'(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))))), 0'(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))), 2'(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))))), 0'(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))), 0'(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))))), 0'(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))), 0'(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))))), 0'(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))), 1'(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))))), 2'(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))), 1'(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))))), 1'(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))), 2'(1(2(1(0(1(1(1(0(0(1(2(2(z0))))))))))))), 1'(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))), 2'(1(0(1(1(1(0(0(1(2(2(z0))))))))))), 1'(0(1(1(1(0(0(1(2(2(z0)))))))))), 0'(1(1(1(0(0(1(2(2(z0))))))))), 1'(1(1(0(0(1(2(2(z0)))))))), 1'(1(0(0(1(2(2(z0))))))), 1'(0(0(1(2(2(z0)))))), 0'(0(1(2(2(z0))))), 0'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0)) by 
   0'(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(x0)))))))))))))))))))))))))))))))) -> c7(1'(c_0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))))))))))), 0'(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))))))))))), 0'(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))))))))), 2'(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))))))), 0'(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))))))), 0'(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))))), 0'(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))))), 2'(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))), 0'(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))), 0'(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))), 0'(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))), 0'(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))), 0'(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))), 1'(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))), 2'(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))), 1'(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))), 1'(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))), 2'(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))), 1'(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))), 2'(1(0(1(1(1(0(0(1(2(2(x0))))))))))), 1'(0(1(1(1(0(0(1(2(2(x0)))))))))), 0'(1(1(1(0(0(1(2(2(x0))))))))), 1'(1(1(0(0(1(2(2(x0)))))))), 1'(1(0(0(1(2(2(x0))))))), 1'(0(0(1(2(2(x0)))))), 0'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0))
   0'(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(x0)))))))))))))))))))))))))))))))) -> c7(1'(0(c_0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))))))))))), 0'(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))))))))))), 0'(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))))))))), 2'(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))))))))), 1'(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))))))), 0'(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))))))), 0'(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))))), 0'(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))))), 2'(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))))), 0'(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))))), 0'(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))))), 0'(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))))), 0'(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))))), 0'(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))))), 0'(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))))), 0'(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))))), 1'(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))))), 2'(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))))), 1'(1(2(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))))), 1'(2(1(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))))), 2'(1(2(1(0(1(1(1(0(0(1(2(2(x0))))))))))))), 1'(2(1(0(1(1(1(0(0(1(2(2(x0)))))))))))), 2'(1(0(1(1(1(0(0(1(2(2(x0))))))))))), 1'(0(1(1(1(0(0(1(2(2(x0)))))))))), 0'(1(1(1(0(0(1(2(2(x0))))))))), 1'(1(1(0(0(1(2(2(x0)))))))), 1'(1(0(0(1(2(2(x0))))))), 1'(0(0(1(2(2(x0)))))), 0'(0(1(2(2(x0))))), 0'(1(2(2(x0)))), 1'(2(2(x0))), 2'(2(x0)), 2'(x0))
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1'(2(2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))), 2'(2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))), 2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))) -> 1(0(0(2(1(0(0(0(2(0(0(0(0(0(0(0(1(2(1(1(2(1(2(1(0(1(1(1(0(0(1(2(2(z0)))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 1(1(0(1(2(2(0(0(0(0(2(2(1(2(0(0(1(2(0(1(0(2(1(2(1(2(1(0(2(1(0(z0)))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(0(1(2(1(1(2(2(2(0(2(2(0(2(0(0(0(1(1(2(2(2(2(1(1(1(1(1(1(1(1(z0)))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(1(1(1(0(2(2(0(1(2(1(2(1(2(0(0(2(1(0(1(0(0(0(1(2(1(0(2(2(1(2(0(1(0(0(0(2(0(0(0(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(2(2(2(1(0(0(0(1(1(0(2(2(2(2(1(1(0(1(2(2(1(1(1(1(2(1(0(2(1(1(0(0(2(0(2(2(2(0(2(2(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_0(c_1(z0))))))) -> 2(2(2(1(1(2(1(0(1(1(z0))))))))))
   0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_0(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(0(0(0(0(2(2(2(2(2(0(1(2(0(0(1(0(0(1(0(2(2(1(0(2(0(0(0(2(2(2(1(z0))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))) -> 2(0(1(2(2(1(0(1(1(2(2(2(2(1(1(1(2(0(0(0(2(1(0(0(0(2(2(1(z0))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(z0)))))))))) -> 1(2(1(1(0(2(2(1(2(2(2(z0)))))))))))
   0(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))) -> 0(0(2(2(1(2(0(2(2(2(2(1(0(2(1(1(2(2(0(2(1(0(2(0(1(2(2(2(2(2(2(1(2(2(1(z0)))))))))))))))))))))))))))))))))))
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   0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 1(1(0(2(2(2(2(0(2(1(2(1(0(0(0(1(1(0(1(2(1(1(0(1(1(0(2(2(1(1(1(1(0(2(0(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(1(0(1(1(1(1(2(1(0(1(1(1(2(2(0(0(1(2(0(0(0(2(0(2(0(1(2(2(0(1(0(2(0(2(0(2(2(1(0(1(2(0(1(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))) -> 1(1(1(2(2(2(0(1(1(0(1(1(0(2(2(2(2(1(0(1(0(1(1(0(2(1(1(0(1(1(2(0(2(2(0(z0)))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(0(2(2(1(0(2(1(0(2(0(1(2(2(2(1(2(0(1(1(1(0(0(1(2(2(2(2(2(2(1(0(0(0(2(2(2(2(2(1(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(1(0(1(2(0(0(1(2(1(0(1(2(0(1(2(0(1(2(0(1(0(0(0(2(1(1(0(2(1(2(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))
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   0(c_2(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 2(0(1(2(1(1(2(1(2(0(2(2(2(2(2(2(1(0(1(2(0(2(2(1(0(0(0(2(2(0(2(0(1(0(0(0(0(2(0(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_1(z0))))))))))))) -> 2(0(1(2(2(1(0(0(0(1(0(0(1(z0)))))))))))))
   0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 0(2(0(1(2(0(2(2(1(1(0(2(0(2(2(0(1(2(0(2(1(0(1(1(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))
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   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))) -> 1(0(1(1(2(0(2(1(0(0(1(2(1(0(0(2(1(0(0(1(2(0(1(1(1(2(2(0(0(z0)))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(1(1(1(1(0(0(2(1(2(2(2(2(2(1(2(0(0(2(2(1(1(0(2(1(2(1(0(2(0(0(1(1(0(0(0(1(2(1(2(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_0(c_0(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(0(2(2(2(1(2(2(2(2(1(2(2(2(2(0(1(1(1(2(0(0(2(1(0(1(0(0(1(2(2(0(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_0(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(1(1(2(0(0(2(1(2(2(2(2(1(0(2(0(2(1(1(1(1(2(2(1(2(1(0(2(0(0(2(2(2(2(2(0(0(2(2(2(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))) -> 1(1(0(2(0(1(0(1(2(1(0(1(1(0(0(2(2(1(0(1(z0))))))))))))))))))))
   1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))) -> 1(0(0(2(1(1(2(2(1(0(1(2(1(2(0(0(1(2(1(2(2(1(2(1(1(1(0(1(0(2(0(1(0(1(2(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(0(1(2(2(0(1(2(2(1(1(2(1(2(0(2(2(2(0(1(2(1(1(0(1(1(0(1(0(2(2(2(1(1(1(1(0(1(2(2(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_2(c_0(z0)))))))))))))) -> 1(2(0(2(1(0(0(2(1(2(2(2(1(1(1(2(0(z0)))))))))))))))))
   1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_2(z0))))))))))))))))) -> 2(2(1(0(0(2(1(1(2(1(2(0(2(1(2(2(1(2(2(1(z0))))))))))))))))))))
   1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(1(1(0(2(1(1(1(2(1(0(0(1(2(2(1(2(2(2(2(1(0(0(2(1(1(1(1(1(1(2(0(0(0(0(1(2(1(0(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> 2(2(1(1(2(0(2(2(2(1(z0))))))))))
   1(c_1(c_2(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(2(1(1(2(1(2(2(2(1(2(1(2(2(2(1(1(2(1(1(2(2(0(1(1(1(0(1(1(1(0(2(1(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_0(c_2(z0))))))))))))))))))))) -> 1(0(2(1(0(1(2(2(1(2(1(1(2(1(0(2(1(1(2(0(2(1(z0))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_1(z0)))))))))))))))))))) -> 1(2(2(1(1(1(1(1(1(2(1(2(1(2(0(1(1(1(0(1(z0))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_0(z0)))))))))))) -> 1(1(2(2(1(1(0(2(2(2(1(0(2(1(z0))))))))))))))
   1(c_1(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_0(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(2(2(1(1(2(0(1(1(1(1(2(1(2(0(2(1(2(2(2(0(1(2(0(2(2(1(1(0(2(1(1(1(0(2(1(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(1(2(0(1(2(2(1(1(0(2(2(2(1(0(0(1(1(0(2(1(1(2(2(0(0(0(0(1(0(0(1(1(2(2(2(2(2(2(2(1(2(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(1(0(2(0(1(2(0(1(1(2(2(1(2(2(2(1(1(0(2(0(2(0(0(1(0(0(2(2(1(2(1(0(0(1(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_0(c_2(z0)))))))))))))))))))) -> 1(0(2(2(0(2(0(2(1(2(1(1(2(2(1(2(2(2(2(1(2(0(1(1(z0))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_1(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(1(0(1(2(0(0(0(0(0(0(2(2(2(0(0(2(2(2(1(1(1(2(0(1(0(2(2(1(1(1(1(2(2(2(1(0(1(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(1(0(0(1(0(0(1(2(2(1(0(0(1(2(0(2(2(0(2(0(0(2(1(1(2(1(0(1(2(1(0(0(0(2(z0)))))))))))))))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_0(z0)))))))))))))) -> 1(0(2(1(2(1(0(2(2(0(2(2(1(0(1(2(1(z0)))))))))))))))))
   2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_1(z0))))))))))))))))))))))))) -> 0(1(2(2(0(1(2(1(1(0(2(2(0(2(0(0(1(0(0(2(1(2(1(2(2(1(1(2(z0))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(1(1(1(1(1(2(1(1(2(2(2(2(2(1(2(1(0(2(2(0(2(1(2(1(2(1(0(2(2(1(2(0(1(2(0(2(0(0(1(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))) -> 1(1(2(0(2(1(2(2(0(1(1(0(2(0(1(2(0(0(1(1(1(0(2(2(2(1(1(1(0(1(2(2(2(z0)))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(1(2(0(1(1(2(1(2(2(1(1(1(2(1(1(1(2(0(0(2(0(2(0(1(0(0(2(1(2(1(2(1(0(1(2(2(2(1(1(1(1(2(2(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_2(c_0(z0))))))))))))))))))))))))))))) -> 2(1(2(1(2(1(1(2(1(2(1(2(0(1(2(1(1(0(0(2(1(2(0(0(2(0(2(2(2(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(1(2(1(2(2(1(1(2(1(0(2(0(1(1(2(0(2(0(1(1(2(2(1(0(1(2(1(1(2(0(1(0(1(0(2(1(1(2(2(1(1(2(2(2(0(2(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))) -> 0(0(1(0(2(1(2(2(2(2(1(2(2(2(1(2(0(1(2(0(1(1(2(2(1(2(1(0(0(2(0(1(1(1(2(2(1(1(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))) -> 2(1(1(2(2(0(1(2(2(1(2(2(2(1(2(1(2(2(0(1(0(1(2(0(2(0(2(2(1(1(0(1(0(1(2(1(2(2(z0))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(1(2(2(1(2(1(0(2(2(0(2(2(0(1(2(0(1(0(0(0(0(0(1(0(2(1(2(2(0(2(1(0(2(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_2(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(2(1(2(1(1(0(0(2(2(2(1(0(2(0(1(1(0(1(1(0(2(0(2(0(1(2(1(0(1(2(2(0(2(2(2(2(1(2(1(1(1(1(0(0(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_0(c_2(z0)))))))))) -> 0(2(2(1(1(2(2(2(2(1(0(1(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 1(0(0(0(2(0(1(1(2(1(1(0(0(2(0(0(2(2(2(1(2(1(2(1(2(2(z0))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(2(0(2(1(1(1(0(1(0(1(0(0(1(2(1(0(2(0(0(2(0(1(0(2(2(1(2(1(2(1(1(0(1(2(2(1(0(2(2(2(2(1(2(1(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_0(z0)))))))))))))))) -> 1(0(0(2(0(0(0(2(2(0(1(2(1(2(0(2(z0))))))))))))))))
   2(c_0(c_1(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))) -> 1(2(1(1(2(1(2(2(2(1(1(0(0(2(0(1(2(0(2(2(2(2(2(0(2(2(1(1(0(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))) -> 1(2(0(0(1(0(1(2(2(1(1(2(0(1(1(1(2(1(0(1(2(1(1(2(2(2(2(2(1(1(2(2(1(0(0(1(1(2(0(0(2(2(2(0(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(0(2(2(2(0(2(2(1(2(1(2(0(2(2(0(0(0(2(2(1(0(2(0(1(0(1(2(1(2(2(2(1(1(1(1(z0)))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_2(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_2(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))) -> 2(0(1(2(2(2(1(0(1(2(0(2(1(2(1(2(2(0(2(1(2(2(1(0(2(2(2(2(1(0(1(2(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> 0(1(1(1(0(2(1(2(2(2(1(1(z0))))))))))))
   2(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_0(c_1(z0))))))))))))))))))))) -> 2(2(1(2(2(2(1(2(1(2(0(0(1(0(2(2(1(1(0(0(0(1(z0))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(z0)))))))))))))))))))))))))))) -> 1(1(0(2(0(2(0(0(1(2(2(1(2(2(2(1(0(1(2(2(0(2(1(1(1(2(2(1(1(z0)))))))))))))))))))))))))))))
   2(c_0(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(z0)))))))))))))))))))))))))))) -> 2(2(0(2(2(2(0(0(2(1(0(1(1(1(2(0(2(1(1(2(2(1(2(0(1(2(1(2(2(2(2(1(2(2(z0))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_2(z0)))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(0(2(0(0(1(0(0(2(1(0(1(1(2(1(0(0(1(2(1(0(1(2(0(0(1(2(1(1(1(2(1(0(1(1(1(2(1(1(0(1(2(0(1(1(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_2(c_0(c_2(c_2(c_2(c_0(c_2(c_1(z0)))))))))))))))) -> 1(2(1(1(0(2(2(2(2(2(1(0(0(1(1(2(2(1(2(1(0(2(z0))))))))))))))))))))))
   2(c_1(c_1(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_1(c_2(z0)))))))))))))))))))))))))))))) -> 1(0(0(1(1(1(2(2(1(2(2(1(1(0(2(2(1(2(1(1(0(1(2(1(1(2(2(2(0(1(2(2(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(z0)))))))))))) -> 2(2(2(2(1(1(0(2(0(2(0(0(2(z0)))))))))))))
   2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(1(1(0(1(2(1(2(2(1(2(2(2(2(2(0(1(2(1(2(1(1(1(0(1(1(2(1(0(0(0(1(1(1(2(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> 0(2(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))))
   2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_1(c_2(c_0(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(2(0(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(2(1(2(0(1(2(2(2(2(1(1(1(0(1(1(2(2(0(2(0(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> 2(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))))
Tuples:
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_1(c_0(z0)))))))))))) -> c81(0'(2(1(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))))), 2'(1(1(1(2(2(1(2(1(0(1(2(0(z0))))))))))))), 1'(1(1(2(2(1(2(1(0(1(2(0(z0)))))))))))), 1'(1(2(2(1(2(1(0(1(2(0(z0))))))))))), 1'(2(2(1(2(1(0(1(2(0(z0)))))))))), 2'(2(1(2(1(0(1(2(0(z0))))))))), 2'(1(2(1(0(1(2(0(z0)))))))), 1'(2(1(0(1(2(0(z0))))))), 2'(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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   2'(c_0(c_0(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))) -> c83(2'(2(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))))), 2'(1(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))))), 2'(0(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))))), 0'(2(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))))), 2'(1(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))))), 1'(2(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))))), 2'(2(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))))), 2'(2(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))))), 2'(0(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))))), 0'(0(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))))), 0'(0(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))))), 0'(2(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))))), 2'(1(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))))), 1'(2(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))))), 2'(2(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))))), 2'(2(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))))), 2'(2(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))))), 2'(1(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))))), 1'(0(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))))), 0'(0(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))))), 0'(2(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))))), 2'(0(0(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))))), 0'(0(1(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))))), 0'(1(2(0(1(2(1(1(2(0(2(2(1(z0))))))))))))), 1'(2(0(1(2(1(1(2(0(2(2(1(z0)))))))))))), 2'(0(1(2(1(1(2(0(2(2(1(z0))))))))))), 0'(1(2(1(1(2(0(2(2(1(z0)))))))))), 1'(2(1(1(2(0(2(2(1(z0))))))))), 2'(1(1(2(0(2(2(1(z0)))))))), 1'(1(2(0(2(2(1(z0))))))), 1'(2(0(2(2(1(z0)))))), 2'(0(2(2(1(z0))))), 0'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_2(z0) -> c6(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_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_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)))
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   1'(c_0(c_0(c_2(c_0(c_0(c_0(z0))))))) -> c41(2'(2(1(1(2(0(2(2(2(1(z0)))))))))), 2'(1(1(2(0(2(2(2(1(z0))))))))), 1'(1(2(0(2(2(2(1(z0)))))))), 1'(2(0(2(2(2(1(z0))))))), 2'(0(2(2(2(1(z0)))))), 0'(2(2(2(1(z0))))), 2'(2(2(1(z0)))), 2'(2(1(z0))), 2'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_0(c_2(c_1(c_0(c_1(c_2(z0))))))))))) -> c72(0'(1(1(1(0(2(1(2(2(2(1(1(z0)))))))))))), 1'(1(1(0(2(1(2(2(2(1(1(z0))))))))))), 1'(1(0(2(1(2(2(2(1(1(z0)))))))))), 1'(0(2(1(2(2(2(1(1(z0))))))))), 0'(2(1(2(2(2(1(1(z0)))))))), 2'(1(2(2(2(1(1(z0))))))), 1'(2(2(2(1(1(z0)))))), 2'(2(2(1(1(z0))))), 2'(2(1(1(z0)))), 2'(1(1(z0))), 1'(1(z0)), 1'(z0))
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K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 1_1, 2_1

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

Compound Symbols:   c8_31, c9_33, c10_45, c11_47, c12_10, c13_36, c14_28, c15_49, c16_48, c17_11, c18_35, c19_50, c20_40, c21_50, c22_35, c23_47, c24_39, c25_32, c26_45, c27_13, c28_32, c29_22, c30_29, c32_45, c33_38, c34_43, c35_20, c36_41, c37_43, c38_17, c39_20, c40_44, c41_10, c42_38, c43_22, c44_20, c45_14, c46_42, c47_47, c48_39, c49_24, c50_46, c51_35, c53_17, c54_28, c55_44, c56_33, c57_50, c58_34, c59_49, c60_38, c61_38, c62_39, c63_50, c64_13, c65_26, c66_50, c67_16, c68_34, c69_46, c70_41, c71_34, c72_12, c73_22, c74_29, c75_34, c76_50, c77_22, c78_32, c79_13, c80_39, c81_14, c82_49, c83_41, c6_1, c_2, c1_2, c2_2, c7_33