/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 81 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), 7 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), 3577 ms]
    (18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
        (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 48 ms]
        (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 12 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1948 ms]
            (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 73 ms]
            (30) CpxRNTS
            (31) SimplificationProof [BOTH BOUNDS(ID, ID), 17 ms]
            (32) CpxRNTS
        (33) CompletionProof [UPPER BOUND(ID), 9 ms]
        (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 15 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 3114 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (40) CdtProblem
        (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (42) CdtProblem
        (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 1 ms]
        (44) CdtProblem
        (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 22.2 s]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6698 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6715 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6720 ms]
        (52) 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(1(0(1(x1)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(x1)))))))))))
   0(1(1(1(2(1(2(0(1(x1))))))))) -> 1(0(0(1(2(1(0(1(0(2(1(x1)))))))))))
   2(2(2(1(1(2(1(2(2(x1))))))))) -> 2(2(2(2(1(1(1(2(2(x1)))))))))
   0(1(2(1(2(1(0(1(1(1(2(x1))))))))))) -> 0(2(0(1(2(1(0(0(0(1(0(1(x1))))))))))))
   1(2(0(1(0(1(0(2(0(2(2(x1))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(x1))))))))))))))
   0(1(1(2(0(2(0(2(2(2(2(1(x1)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(x1)))))))))))))
   1(1(1(0(2(2(1(2(0(2(1(2(x1)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(x1))))))))))))))
   2(2(1(1(1(0(2(2(2(0(0(2(0(2(x1)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(x1)))))))))))))))
   0(1(1(2(0(1(2(2(0(1(0(0(1(1(0(x1))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(x1))))))))))))))))
   1(1(1(0(0(2(2(1(2(1(1(2(2(1(1(1(x1)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(x1))))))))))))))))
   1(1(2(2(0(2(2(0(0(2(1(2(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(x1))))))))))))))))))
   1(2(2(2(2(2(2(2(0(1(2(2(1(2(2(1(1(1(x1)))))))))))))))))) -> 2(0(0(1(2(0(0(2(1(1(1(0(1(0(0(2(2(2(1(x1)))))))))))))))))))
   2(1(1(2(1(1(2(2(1(1(1(0(1(2(1(1(2(0(x1)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(x1))))))))))))))))))))
   0(0(2(2(1(1(0(0(0(1(1(0(1(1(1(2(1(2(1(x1))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(x1))))))))))))))))))))
   0(1(2(0(1(0(2(0(0(2(2(0(1(2(2(2(0(1(2(x1))))))))))))))))))) -> 2(0(1(0(0(0(0(2(1(0(0(1(2(2(1(2(1(0(2(1(x1))))))))))))))))))))
   0(2(0(1(0(0(1(0(0(2(0(2(2(2(2(0(0(2(0(2(x1)))))))))))))))))))) -> 1(2(1(2(1(1(1(0(0(0(1(0(2(0(1(2(1(0(2(0(0(2(x1))))))))))))))))))))))
   0(2(2(2(1(0(2(0(1(2(0(2(0(2(2(2(1(0(1(1(x1)))))))))))))))))))) -> 1(1(2(2(0(1(2(0(0(1(2(1(1(0(1(0(0(1(2(2(0(x1)))))))))))))))))))))
   1(0(2(0(1(2(0(1(2(2(0(0(1(0(1(2(2(1(0(1(x1)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))))))
   1(2(1(2(0(1(1(2(1(2(2(1(2(0(1(1(0(2(0(0(1(x1))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(x1))))))))))))))))))))))
   1(1(1(2(0(2(0(0(1(0(0(0(2(1(2(0(1(0(2(0(0(0(x1)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(x1))))))))))))))))))))))))))
   2(2(1(0(2(2(0(0(0(0(1(1(0(2(1(1(2(0(1(2(0(1(x1)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(x1))))))))))))))))))))))))
   0(1(2(0(1(0(1(1(2(2(1(1(0(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))
   2(0(1(0(1(0(0(0(1(1(2(0(1(1(0(1(0(2(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(1(0(2(2(0(2(1(0(2(2(1(0(0(0(2(2(2(1(2(1(2(1(0(0(0(x1))))))))))))))))))))))))))
   0(0(2(2(2(0(0(1(2(0(2(0(0(2(0(0(1(0(2(0(0(0(2(2(x1)))))))))))))))))))))))) -> 1(0(2(0(1(0(0(1(1(1(0(2(1(0(0(1(1(1(0(1(1(0(0(2(1(0(x1))))))))))))))))))))))))))
   0(1(1(2(1(1(1(2(2(2(2(0(1(1(0(0(0(0(0(0(1(2(2(1(x1)))))))))))))))))))))))) -> 2(0(0(0(2(1(2(2(0(1(1(0(1(2(1(2(1(0(2(1(0(1(0(2(1(x1)))))))))))))))))))))))))
   1(1(0(1(2(2(0(2(1(2(0(1(1(0(1(2(1(1(2(2(0(1(0(1(x1)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(x1)))))))))))))))))))))))))
   0(2(1(0(1(2(2(2(1(0(2(2(0(1(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))) -> 2(2(2(2(0(1(0(2(0(2(0(2(1(0(0(1(0(0(2(2(1(0(2(2(0(0(x1))))))))))))))))))))))))))
   1(1(2(1(1(2(0(1(2(2(2(1(1(1(0(1(0(1(2(2(0(0(1(2(1(x1))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(x1))))))))))))))))))))))))))
   0(0(2(0(2(1(0(1(2(1(2(2(2(0(0(2(2(1(1(1(2(0(2(1(2(0(2(x1))))))))))))))))))))))))))) -> 0(1(1(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(x1))))))))))))))))))))))))))))
   2(0(1(0(1(1(1(1(2(1(1(2(0(2(0(2(1(1(2(0(1(2(2(1(0(1(1(x1))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(x1))))))))))))))))))))))))))))))))
   0(0(2(2(1(1(2(2(2(0(1(2(1(1(0(1(2(1(2(0(0(0(1(2(2(1(2(1(x1)))))))))))))))))))))))))))) -> 2(1(0(2(2(0(1(1(2(0(2(1(1(0(0(1(0(0(1(2(1(0(1(2(1(1(1(2(1(1(x1))))))))))))))))))))))))))))))
   0(2(1(1(2(0(1(0(0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(0(2(2(0(2(x1)))))))))))))))))))))))))))) -> 0(2(1(0(2(0(0(0(1(1(2(2(0(1(2(2(0(1(1(2(0(0(0(0(1(2(0(2(x1))))))))))))))))))))))))))))
   1(0(2(2(0(2(0(2(1(0(1(0(1(2(2(0(2(0(0(2(2(2(1(1(1(2(2(2(x1)))))))))))))))))))))))))))) -> 2(1(0(2(1(0(2(1(0(0(0(1(0(0(0(2(1(1(2(2(0(1(0(1(0(0(2(0(1(2(0(0(x1))))))))))))))))))))))))))))))))
   1(2(0(2(1(0(1(1(1(2(2(2(0(0(0(2(0(1(2(1(0(0(1(1(0(2(0(0(0(x1))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(x1))))))))))))))))))))))))))))))))
   2(0(2(2(0(1(0(2(2(1(1(0(0(1(0(2(2(2(2(1(1(1(2(2(2(1(0(2(2(0(x1)))))))))))))))))))))))))))))) -> 2(2(1(2(1(0(2(2(2(1(0(0(0(0(2(2(0(1(2(2(1(1(2(2(2(1(1(2(0(0(x1))))))))))))))))))))))))))))))
   2(1(0(1(2(2(0(1(2(2(1(0(2(1(1(2(0(1(1(1(2(2(0(1(1(2(2(2(0(2(2(1(x1)))))))))))))))))))))))))))))))) -> 2(0(2(2(1(1(0(2(2(0(0(2(1(0(0(1(2(0(1(1(0(0(0(2(0(2(1(2(1(0(2(1(2(0(x1))))))))))))))))))))))))))))))))))
   2(1(1(0(2(0(0(1(2(2(2(1(2(2(1(2(0(1(1(2(2(2(2(1(0(0(1(1(0(2(2(1(x1)))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(0(0(0(2(0(2(2(2(0(2(0(2(1(0(2(1(0(2(1(1(1(2(0(2(2(2(1(1(x1))))))))))))))))))))))))))))))))))
   2(0(2(2(1(1(2(1(1(2(2(0(1(1(2(2(1(1(0(0(0(0(2(1(2(1(2(0(1(2(0(0(2(x1))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(2(2(1(2(1(0(0(1(2(2(1(2(0(0(0(0(2(1(2(1(2(0(1(2(1(0(2(x1)))))))))))))))))))))))))))))))))
   0(1(0(0(0(1(1(2(1(2(1(1(2(0(0(0(0(2(1(2(0(2(1(2(1(1(2(1(0(2(1(1(0(1(x1)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(x1))))))))))))))))))))))))))))))))))
   1(2(2(0(0(2(1(2(1(0(0(1(1(2(1(0(1(2(2(0(1(0(1(1(0(2(1(0(2(2(0(0(0(0(x1)))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(0(2(1(1(0(1(0(1(0(2(2(1(2(1(1(0(2(0(0(2(0(0(2(1(0(2(1(0(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))
   0(1(2(0(2(1(0(1(1(1(2(2(0(0(0(2(0(2(2(2(2(1(1(0(2(1(0(2(0(2(0(1(2(0(2(x1))))))))))))))))))))))))))))))))))) -> 0(2(1(0(0(0(0(0(0(2(1(0(1(0(0(1(0(1(0(1(0(1(2(2(0(2(0(0(1(2(1(0(0(2(2(1(0(1(2(x1)))))))))))))))))))))))))))))))))))))))
   1(2(1(1(2(1(2(2(2(1(0(0(1(1(1(0(2(2(2(2(1(1(1(2(2(2(2(1(2(1(1(1(2(2(2(x1))))))))))))))))))))))))))))))))))) -> 1(0(1(1(1(1(0(1(1(1(1(0(0(0(1(1(0(0(2(2(0(1(2(2(0(1(2(0(2(1(0(1(1(0(0(0(0(1(2(1(x1))))))))))))))))))))))))))))))))))))))))
   0(0(1(1(0(1(0(0(1(1(2(2(1(1(1(0(2(0(1(1(0(1(2(2(1(1(2(0(0(0(0(0(2(2(1(0(x1)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(x1)))))))))))))))))))))))))))))))))))))
   1(0(1(1(1(2(2(0(0(0(0(1(2(0(1(0(2(0(0(0(1(1(1(0(1(1(2(1(0(2(2(2(2(0(0(0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(x1))))))))))))))))))))))))))))))))))))
   1(2(2(0(2(1(2(0(1(0(2(2(2(1(2(2(0(2(2(2(0(1(2(0(0(1(1(2(0(0(1(2(1(2(2(0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(0(2(1(0(1(0(2(2(1(0(2(0(2(2(0(0(0(0(0(2(1(2(1(1(0(0(2(1(0(1(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))
   1(1(0(1(2(2(2(1(2(2(0(2(2(1(0(2(0(0(2(2(1(2(2(2(2(2(0(2(0(2(2(2(1(2(2(2(1(x1))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))
   1(2(0(0(1(2(1(1(2(1(0(2(1(1(2(2(1(0(1(1(0(1(2(2(1(2(0(2(2(2(1(2(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(2(2(2(2(1(2(2(2(2(2(0(2(2(2(0(0(1(0(2(2(2(1(1(0(0(1(2(2(1(1(1(0(2(0(x1))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))
   0(2(1(0(2(2(0(2(2(0(2(0(1(1(0(2(0(0(2(2(1(1(0(2(2(0(2(2(2(2(0(1(2(0(1(2(2(1(x1)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))
   1(2(0(0(0(1(2(2(2(2(0(2(0(2(0(1(1(0(2(0(2(2(0(0(2(0(2(0(2(2(0(1(2(0(1(1(1(2(x1)))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(1(0(1(2(0(2(1(0(0(2(0(0(1(1(2(2(1(0(0(1(1(2(0(2(2(0(1(2(1(0(0(2(2(2(1(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))
   1(2(0(0(0(2(0(1(2(0(0(2(2(1(2(2(2(1(1(1(1(0(1(0(2(2(1(0(0(2(2(0(2(1(2(1(1(1(x1)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))
   2(0(0(0(1(1(2(0(2(0(2(1(2(1(1(2(1(2(1(1(2(1(0(2(2(1(0(2(0(0(2(2(1(1(1(0(0(2(x1)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(2(0(2(0(1(1(0(1(1(1(0(0(2(1(0(0(1(2(2(0(2(0(1(2(2(1(2(1(0(1(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))
   2(2(2(1(1(0(1(0(2(0(0(1(1(2(2(2(2(2(2(0(1(0(0(0(1(1(2(1(2(0(2(0(1(0(2(2(1(1(x1)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))
   0(1(1(1(1(2(0(0(1(0(1(0(2(2(0(2(1(0(0(2(0(2(1(2(2(0(2(0(2(1(2(1(2(2(2(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))
   0(0(0(1(1(1(1(1(1(1(1(0(1(0(1(1(2(0(2(2(0(0(2(0(1(2(1(1(2(0(2(2(0(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))
   1(0(2(0(2(2(1(1(1(2(1(2(0(1(0(2(2(2(2(1(1(0(0(1(0(2(2(0(2(2(2(0(1(0(0(2(2(2(0(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(1(2(1(2(1(2(1(0(1(2(2(0(2(0(2(1(0(1(0(2(0(1(1(0(2(2(0(0(2(1(0(2(1(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))
   2(0(0(2(1(1(0(2(2(2(2(1(1(0(2(1(2(1(0(2(1(2(2(2(1(2(0(1(1(1(0(1(1(1(2(0(1(2(1(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(1(1(1(1(2(0(2(1(2(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(2(0(0(1(1(1(0(2(0(1(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))))
   0(2(2(1(2(2(2(2(1(1(0(1(2(0(1(0(1(0(0(0(2(0(1(2(1(1(1(0(2(1(0(0(2(1(0(1(2(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))
   1(0(1(1(1(2(0(1(2(2(0(0(2(0(2(0(0(2(0(1(0(1(1(2(2(0(1(0(0(1(2(2(0(0(1(1(1(2(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))
   2(0(0(0(1(2(2(1(0(1(0(2(0(0(0(2(0(2(0(2(2(0(2(1(0(1(1(1(1(1(2(0(0(2(2(0(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))
   1(1(2(0(1(2(2(2(2(0(1(1(1(0(1(2(2(2(0(1(2(1(1(2(0(0(1(1(1(1(2(2(1(2(2(2(2(1(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(2(1(1(0(2(0(2(0(1(0(0(1(1(2(2(1(2(1(2(0(1(1(2(1(2(1(2(2(1(1(2(1(0(1(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))
   0(0(2(1(1(1(0(2(0(2(0(2(1(2(0(2(1(2(0(2(2(0(1(2(0(2(2(0(1(2(2(2(0(2(0(2(1(2(0(2(2(1(2(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(0(1(2(2(0(1(1(1(2(1(0(0(0(2(0(1(0(0(1(1(1(1(0(2(1(2(1(0(1(1(2(1(2(1(0(2(1(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(0(2(2(1(1(1(2(0(1(2(0(0(1(1(2(0(2(1(1(1(0(0(1(2(1(2(1(0(0(2(0(0(2(1(1(0(1(2(1(0(2(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(1(0(1(1(0(2(0(2(2(0(2(0(2(1(2(1(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(2(0(2(0(1(2(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))
   0(2(2(1(1(2(2(1(1(1(0(1(2(2(1(0(0(2(1(0(1(2(1(0(1(0(2(1(1(0(0(1(1(0(1(1(1(1(1(2(1(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(1(2(0(0(0(2(1(0(1(1(1(2(0(1(1(2(1(1(0(2(2(2(0(1(0(2(2(1(0(1(1(1(2(0(1(0(1(0(1(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(0(1(0(2(2(0(2(1(0(2(1(1(0(2(2(1(0(2(2(2(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(1(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(1(2(1(1(1(1(2(2(1(2(2(1(2(1(0(1(0(1(0(1(2(0(2(0(2(0(2(2(2(2(0(0(1(0(0(0(0(2(2(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(0(1(1(2(0(2(2(0(0(1(1(0(1(1(1(0(0(2(1(0(0(2(1(1(0(0(2(2(0(2(1(2(2(0(0(1(0(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))
   1(2(0(0(2(0(1(1(0(0(2(0(2(0(0(2(2(2(1(2(1(2(2(1(0(0(2(2(0(1(1(0(1(2(0(1(2(0(1(1(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))
   1(1(2(0(0(2(0(1(1(1(2(2(1(1(2(2(1(1(2(2(0(2(0(2(2(1(2(1(1(2(2(2(2(0(2(2(2(1(1(1(1(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(0(0(2(2(2(0(0(1(0(0(1(2(0(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(0(2(0(1(2(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(1(1(1(2(0(1(1(1(1(0(2(2(0(0(0(0(0(2(0(1(1(0(0(1(2(1(1(2(0(1(1(0(2(0(0(0(2(0(1(2(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(2(1(0(0(2(1(1(0(0(2(1(1(0(1(1(2(2(0(2(1(2(2(2(1(2(2(0(1(2(0(2(1(1(0(2(0(0(0(1(2(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))
   0(1(1(2(2(2(0(1(1(2(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(2(2(0(0(0(1(2(2(1(0(1(2(2(0(1(0(1(1(2(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(2(1(0(0(1(1(1(1(0(0(2(2(0(1(0(2(2(1(1(1(1(1(0(1(1(0(2(1(0(2(1(1(2(0(0(2(1(1(0(0(0(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(0(0(1(1(2(1(1(1(0(1(2(1(1(2(2(1(2(1(1(0(0(0(2(0(2(2(1(2(1(1(2(0(2(1(1(1(0(1(2(0(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(0(2(1(1(1(0(2(2(0(2(2(2(1(0(0(2(0(1(1(2(0(1(2(1(2(1(2(1(2(1(2(2(0(0(2(1(0(0(1(1(1(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(2(1(0(2(1(1(1(2(2(1(0(0(2(2(0(2(1(0(1(0(2(2(2(2(1(2(2(1(1(2(1(2(0(0(0(1(1(1(1(0(1(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(2(2(0(0(0(1(1(2(1(1(1(2(1(1(2(0(2(1(2(1(2(2(2(0(2(1(2(2(1(0(0(0(1(0(1(1(1(2(1(1(1(2(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(1(0(1(1(1(1(1(2(1(2(2(0(2(2(0(1(0(2(2(0(2(2(0(0(1(2(1(1(2(0(0(1(2(0(1(2(0(1(2(1(2(0(2(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(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_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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(1(0(1(x1)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(x1)))))))))))
   0(1(1(1(2(1(2(0(1(x1))))))))) -> 1(0(0(1(2(1(0(1(0(2(1(x1)))))))))))
   2(2(2(1(1(2(1(2(2(x1))))))))) -> 2(2(2(2(1(1(1(2(2(x1)))))))))
   0(1(2(1(2(1(0(1(1(1(2(x1))))))))))) -> 0(2(0(1(2(1(0(0(0(1(0(1(x1))))))))))))
   1(2(0(1(0(1(0(2(0(2(2(x1))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(x1))))))))))))))
   0(1(1(2(0(2(0(2(2(2(2(1(x1)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(x1)))))))))))))
   1(1(1(0(2(2(1(2(0(2(1(2(x1)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(x1))))))))))))))
   2(2(1(1(1(0(2(2(2(0(0(2(0(2(x1)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(x1)))))))))))))))
   0(1(1(2(0(1(2(2(0(1(0(0(1(1(0(x1))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(x1))))))))))))))))
   1(1(1(0(0(2(2(1(2(1(1(2(2(1(1(1(x1)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(x1))))))))))))))))
   1(1(2(2(0(2(2(0(0(2(1(2(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(x1))))))))))))))))))
   1(2(2(2(2(2(2(2(0(1(2(2(1(2(2(1(1(1(x1)))))))))))))))))) -> 2(0(0(1(2(0(0(2(1(1(1(0(1(0(0(2(2(2(1(x1)))))))))))))))))))
   2(1(1(2(1(1(2(2(1(1(1(0(1(2(1(1(2(0(x1)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(x1))))))))))))))))))))
   0(0(2(2(1(1(0(0(0(1(1(0(1(1(1(2(1(2(1(x1))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(x1))))))))))))))))))))
   0(1(2(0(1(0(2(0(0(2(2(0(1(2(2(2(0(1(2(x1))))))))))))))))))) -> 2(0(1(0(0(0(0(2(1(0(0(1(2(2(1(2(1(0(2(1(x1))))))))))))))))))))
   0(2(0(1(0(0(1(0(0(2(0(2(2(2(2(0(0(2(0(2(x1)))))))))))))))))))) -> 1(2(1(2(1(1(1(0(0(0(1(0(2(0(1(2(1(0(2(0(0(2(x1))))))))))))))))))))))
   0(2(2(2(1(0(2(0(1(2(0(2(0(2(2(2(1(0(1(1(x1)))))))))))))))))))) -> 1(1(2(2(0(1(2(0(0(1(2(1(1(0(1(0(0(1(2(2(0(x1)))))))))))))))))))))
   1(0(2(0(1(2(0(1(2(2(0(0(1(0(1(2(2(1(0(1(x1)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))))))
   1(2(1(2(0(1(1(2(1(2(2(1(2(0(1(1(0(2(0(0(1(x1))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(x1))))))))))))))))))))))
   1(1(1(2(0(2(0(0(1(0(0(0(2(1(2(0(1(0(2(0(0(0(x1)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(x1))))))))))))))))))))))))))
   2(2(1(0(2(2(0(0(0(0(1(1(0(2(1(1(2(0(1(2(0(1(x1)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(x1))))))))))))))))))))))))
   0(1(2(0(1(0(1(1(2(2(1(1(0(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))
   2(0(1(0(1(0(0(0(1(1(2(0(1(1(0(1(0(2(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(1(0(2(2(0(2(1(0(2(2(1(0(0(0(2(2(2(1(2(1(2(1(0(0(0(x1))))))))))))))))))))))))))
   0(0(2(2(2(0(0(1(2(0(2(0(0(2(0(0(1(0(2(0(0(0(2(2(x1)))))))))))))))))))))))) -> 1(0(2(0(1(0(0(1(1(1(0(2(1(0(0(1(1(1(0(1(1(0(0(2(1(0(x1))))))))))))))))))))))))))
   0(1(1(2(1(1(1(2(2(2(2(0(1(1(0(0(0(0(0(0(1(2(2(1(x1)))))))))))))))))))))))) -> 2(0(0(0(2(1(2(2(0(1(1(0(1(2(1(2(1(0(2(1(0(1(0(2(1(x1)))))))))))))))))))))))))
   1(1(0(1(2(2(0(2(1(2(0(1(1(0(1(2(1(1(2(2(0(1(0(1(x1)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(x1)))))))))))))))))))))))))
   0(2(1(0(1(2(2(2(1(0(2(2(0(1(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))) -> 2(2(2(2(0(1(0(2(0(2(0(2(1(0(0(1(0(0(2(2(1(0(2(2(0(0(x1))))))))))))))))))))))))))
   1(1(2(1(1(2(0(1(2(2(2(1(1(1(0(1(0(1(2(2(0(0(1(2(1(x1))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(x1))))))))))))))))))))))))))
   0(0(2(0(2(1(0(1(2(1(2(2(2(0(0(2(2(1(1(1(2(0(2(1(2(0(2(x1))))))))))))))))))))))))))) -> 0(1(1(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(x1))))))))))))))))))))))))))))
   2(0(1(0(1(1(1(1(2(1(1(2(0(2(0(2(1(1(2(0(1(2(2(1(0(1(1(x1))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(x1))))))))))))))))))))))))))))))))
   0(0(2(2(1(1(2(2(2(0(1(2(1(1(0(1(2(1(2(0(0(0(1(2(2(1(2(1(x1)))))))))))))))))))))))))))) -> 2(1(0(2(2(0(1(1(2(0(2(1(1(0(0(1(0(0(1(2(1(0(1(2(1(1(1(2(1(1(x1))))))))))))))))))))))))))))))
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   1(2(2(0(0(0(1(1(2(1(1(1(0(1(2(1(1(2(2(1(2(1(1(0(0(0(2(0(2(2(1(2(1(1(2(0(2(1(1(1(0(1(2(0(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(0(2(1(1(1(0(2(2(0(2(2(2(1(0(0(2(0(1(1(2(0(1(2(1(2(1(2(1(2(1(2(2(0(0(2(1(0(0(1(1(1(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(2(1(0(2(1(1(1(2(2(1(0(0(2(2(0(2(1(0(1(0(2(2(2(2(1(2(2(1(1(2(1(2(0(0(0(1(1(1(1(0(1(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(2(2(0(0(0(1(1(2(1(1(1(2(1(1(2(0(2(1(2(1(2(2(2(0(2(1(2(2(1(0(0(0(1(0(1(1(1(2(1(1(1(2(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(1(0(1(1(1(1(1(2(1(2(2(0(2(2(0(1(0(2(2(0(2(2(0(0(1(2(1(1(2(0(0(1(2(0(1(2(0(1(2(1(2(0(2(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))

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

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

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

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

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

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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(1(0(1(x1)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(x1)))))))))))
0(1(1(1(2(1(2(0(1(x1))))))))) -> 1(0(0(1(2(1(0(1(0(2(1(x1)))))))))))
2(2(2(1(1(2(1(2(2(x1))))))))) -> 2(2(2(2(1(1(1(2(2(x1)))))))))
0(1(2(1(2(1(0(1(1(1(2(x1))))))))))) -> 0(2(0(1(2(1(0(0(0(1(0(1(x1))))))))))))
1(2(0(1(0(1(0(2(0(2(2(x1))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(x1))))))))))))))
0(1(1(2(0(2(0(2(2(2(2(1(x1)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(x1)))))))))))))
1(1(1(0(2(2(1(2(0(2(1(2(x1)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(x1))))))))))))))
2(2(1(1(1(0(2(2(2(0(0(2(0(2(x1)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(x1)))))))))))))))
0(1(1(2(0(1(2(2(0(1(0(0(1(1(0(x1))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(x1))))))))))))))))
1(1(1(0(0(2(2(1(2(1(1(2(2(1(1(1(x1)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(x1))))))))))))))))
1(1(2(2(0(2(2(0(0(2(1(2(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(x1))))))))))))))))))
1(2(2(2(2(2(2(2(0(1(2(2(1(2(2(1(1(1(x1)))))))))))))))))) -> 2(0(0(1(2(0(0(2(1(1(1(0(1(0(0(2(2(2(1(x1)))))))))))))))))))
2(1(1(2(1(1(2(2(1(1(1(0(1(2(1(1(2(0(x1)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(x1))))))))))))))))))))
0(0(2(2(1(1(0(0(0(1(1(0(1(1(1(2(1(2(1(x1))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(x1))))))))))))))))))))
0(1(2(0(1(0(2(0(0(2(2(0(1(2(2(2(0(1(2(x1))))))))))))))))))) -> 2(0(1(0(0(0(0(2(1(0(0(1(2(2(1(2(1(0(2(1(x1))))))))))))))))))))
0(2(0(1(0(0(1(0(0(2(0(2(2(2(2(0(0(2(0(2(x1)))))))))))))))))))) -> 1(2(1(2(1(1(1(0(0(0(1(0(2(0(1(2(1(0(2(0(0(2(x1))))))))))))))))))))))
0(2(2(2(1(0(2(0(1(2(0(2(0(2(2(2(1(0(1(1(x1)))))))))))))))))))) -> 1(1(2(2(0(1(2(0(0(1(2(1(1(0(1(0(0(1(2(2(0(x1)))))))))))))))))))))
1(0(2(0(1(2(0(1(2(2(0(0(1(0(1(2(2(1(0(1(x1)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))))))
1(2(1(2(0(1(1(2(1(2(2(1(2(0(1(1(0(2(0(0(1(x1))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(x1))))))))))))))))))))))
1(1(1(2(0(2(0(0(1(0(0(0(2(1(2(0(1(0(2(0(0(0(x1)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(x1))))))))))))))))))))))))))
2(2(1(0(2(2(0(0(0(0(1(1(0(2(1(1(2(0(1(2(0(1(x1)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(x1))))))))))))))))))))))))
0(1(2(0(1(0(1(1(2(2(1(1(0(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))
2(0(1(0(1(0(0(0(1(1(2(0(1(1(0(1(0(2(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(1(0(2(2(0(2(1(0(2(2(1(0(0(0(2(2(2(1(2(1(2(1(0(0(0(x1))))))))))))))))))))))))))
0(0(2(2(2(0(0(1(2(0(2(0(0(2(0(0(1(0(2(0(0(0(2(2(x1)))))))))))))))))))))))) -> 1(0(2(0(1(0(0(1(1(1(0(2(1(0(0(1(1(1(0(1(1(0(0(2(1(0(x1))))))))))))))))))))))))))
0(1(1(2(1(1(1(2(2(2(2(0(1(1(0(0(0(0(0(0(1(2(2(1(x1)))))))))))))))))))))))) -> 2(0(0(0(2(1(2(2(0(1(1(0(1(2(1(2(1(0(2(1(0(1(0(2(1(x1)))))))))))))))))))))))))
1(1(0(1(2(2(0(2(1(2(0(1(1(0(1(2(1(1(2(2(0(1(0(1(x1)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(x1)))))))))))))))))))))))))
0(2(1(0(1(2(2(2(1(0(2(2(0(1(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))) -> 2(2(2(2(0(1(0(2(0(2(0(2(1(0(0(1(0(0(2(2(1(0(2(2(0(0(x1))))))))))))))))))))))))))
1(1(2(1(1(2(0(1(2(2(2(1(1(1(0(1(0(1(2(2(0(0(1(2(1(x1))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(x1))))))))))))))))))))))))))
0(0(2(0(2(1(0(1(2(1(2(2(2(0(0(2(2(1(1(1(2(0(2(1(2(0(2(x1))))))))))))))))))))))))))) -> 0(1(1(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(x1))))))))))))))))))))))))))))
2(0(1(0(1(1(1(1(2(1(1(2(0(2(0(2(1(1(2(0(1(2(2(1(0(1(1(x1))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(x1))))))))))))))))))))))))))))))))
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1(2(2(0(0(0(1(1(2(1(1(1(0(1(2(1(1(2(2(1(2(1(1(0(0(0(2(0(2(2(1(2(1(1(2(0(2(1(1(1(0(1(2(0(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
1(1(1(0(0(2(1(1(1(0(2(2(0(2(2(2(1(0(0(2(0(1(1(2(0(1(2(1(2(1(2(1(2(1(2(2(0(0(2(1(0(0(1(1(1(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(0(1(2(1(0(2(1(1(1(2(2(1(0(0(2(2(0(2(1(0(1(0(2(2(2(2(1(2(2(1(1(2(1(2(0(0(0(1(1(1(1(0(1(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))
1(0(2(2(0(0(0(1(1(2(1(1(1(2(1(1(2(0(2(1(2(1(2(2(2(0(2(1(2(2(1(0(0(0(1(0(1(1(1(2(1(1(1(2(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))
1(1(0(1(0(1(1(1(1(1(2(1(2(2(0(2(2(0(1(0(2(2(0(2(2(0(0(1(2(1(1(2(0(0(1(2(0(1(2(0(1(2(1(2(0(2(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_1(x_1)) -> 1(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_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_2:cons_1 -> 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_2:cons_12_3 :: cons_0:cons_2:cons_1
gen_cons_0:cons_2:cons_13_3 :: Nat -> cons_0:cons_2:cons_1

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

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

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

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

(12)
Obligation:
TRS:
Rules:
0(1(1(1(2(1(0(1(x1)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(x1)))))))))))
0(1(1(1(2(1(2(0(1(x1))))))))) -> 1(0(0(1(2(1(0(1(0(2(1(x1)))))))))))
2(2(2(1(1(2(1(2(2(x1))))))))) -> 2(2(2(2(1(1(1(2(2(x1)))))))))
0(1(2(1(2(1(0(1(1(1(2(x1))))))))))) -> 0(2(0(1(2(1(0(0(0(1(0(1(x1))))))))))))
1(2(0(1(0(1(0(2(0(2(2(x1))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(x1))))))))))))))
0(1(1(2(0(2(0(2(2(2(2(1(x1)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(x1)))))))))))))
1(1(1(0(2(2(1(2(0(2(1(2(x1)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(x1))))))))))))))
2(2(1(1(1(0(2(2(2(0(0(2(0(2(x1)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(x1)))))))))))))))
0(1(1(2(0(1(2(2(0(1(0(0(1(1(0(x1))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(x1))))))))))))))))
1(1(1(0(0(2(2(1(2(1(1(2(2(1(1(1(x1)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(x1))))))))))))))))
1(1(2(2(0(2(2(0(0(2(1(2(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(x1))))))))))))))))))
1(2(2(2(2(2(2(2(0(1(2(2(1(2(2(1(1(1(x1)))))))))))))))))) -> 2(0(0(1(2(0(0(2(1(1(1(0(1(0(0(2(2(2(1(x1)))))))))))))))))))
2(1(1(2(1(1(2(2(1(1(1(0(1(2(1(1(2(0(x1)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(x1))))))))))))))))))))
0(0(2(2(1(1(0(0(0(1(1(0(1(1(1(2(1(2(1(x1))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(x1))))))))))))))))))))
0(1(2(0(1(0(2(0(0(2(2(0(1(2(2(2(0(1(2(x1))))))))))))))))))) -> 2(0(1(0(0(0(0(2(1(0(0(1(2(2(1(2(1(0(2(1(x1))))))))))))))))))))
0(2(0(1(0(0(1(0(0(2(0(2(2(2(2(0(0(2(0(2(x1)))))))))))))))))))) -> 1(2(1(2(1(1(1(0(0(0(1(0(2(0(1(2(1(0(2(0(0(2(x1))))))))))))))))))))))
0(2(2(2(1(0(2(0(1(2(0(2(0(2(2(2(1(0(1(1(x1)))))))))))))))))))) -> 1(1(2(2(0(1(2(0(0(1(2(1(1(0(1(0(0(1(2(2(0(x1)))))))))))))))))))))
1(0(2(0(1(2(0(1(2(2(0(0(1(0(1(2(2(1(0(1(x1)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))))))
1(2(1(2(0(1(1(2(1(2(2(1(2(0(1(1(0(2(0(0(1(x1))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(x1))))))))))))))))))))))
1(1(1(2(0(2(0(0(1(0(0(0(2(1(2(0(1(0(2(0(0(0(x1)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(x1))))))))))))))))))))))))))
2(2(1(0(2(2(0(0(0(0(1(1(0(2(1(1(2(0(1(2(0(1(x1)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(x1))))))))))))))))))))))))
0(1(2(0(1(0(1(1(2(2(1(1(0(1(0(0(0(0(0(0(2(0(0(x1))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(x1)))))))))))))))))))))))
2(0(1(0(1(0(0(0(1(1(2(0(1(1(0(1(0(2(0(2(1(2(0(x1))))))))))))))))))))))) -> 2(1(0(2(2(0(2(1(0(2(2(1(0(0(0(2(2(2(1(2(1(2(1(0(0(0(x1))))))))))))))))))))))))))
0(0(2(2(2(0(0(1(2(0(2(0(0(2(0(0(1(0(2(0(0(0(2(2(x1)))))))))))))))))))))))) -> 1(0(2(0(1(0(0(1(1(1(0(2(1(0(0(1(1(1(0(1(1(0(0(2(1(0(x1))))))))))))))))))))))))))
0(1(1(2(1(1(1(2(2(2(2(0(1(1(0(0(0(0(0(0(1(2(2(1(x1)))))))))))))))))))))))) -> 2(0(0(0(2(1(2(2(0(1(1(0(1(2(1(2(1(0(2(1(0(1(0(2(1(x1)))))))))))))))))))))))))
1(1(0(1(2(2(0(2(1(2(0(1(1(0(1(2(1(1(2(2(0(1(0(1(x1)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(x1)))))))))))))))))))))))))
0(2(1(0(1(2(2(2(1(0(2(2(0(1(2(2(2(2(2(1(0(0(0(2(2(x1))))))))))))))))))))))))) -> 2(2(2(2(0(1(0(2(0(2(0(2(1(0(0(1(0(0(2(2(1(0(2(2(0(0(x1))))))))))))))))))))))))))
1(1(2(1(1(2(0(1(2(2(2(1(1(1(0(1(0(1(2(2(0(0(1(2(1(x1))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(x1))))))))))))))))))))))))))
0(0(2(0(2(1(0(1(2(1(2(2(2(0(0(2(2(1(1(1(2(0(2(1(2(0(2(x1))))))))))))))))))))))))))) -> 0(1(1(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(x1))))))))))))))))))))))))))))
2(0(1(0(1(1(1(1(2(1(1(2(0(2(0(2(1(1(2(0(1(2(2(1(0(1(1(x1))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(x1))))))))))))))))))))))))))))))))
0(0(2(2(1(1(2(2(2(0(1(2(1(1(0(1(2(1(2(0(0(0(1(2(2(1(2(1(x1)))))))))))))))))))))))))))) -> 2(1(0(2(2(0(1(1(2(0(2(1(1(0(0(1(0(0(1(2(1(0(1(2(1(1(1(2(1(1(x1))))))))))))))))))))))))))))))
0(2(1(1(2(0(1(0(0(1(0(2(0(1(2(2(0(1(0(0(2(0(1(0(2(2(0(2(x1)))))))))))))))))))))))))))) -> 0(2(1(0(2(0(0(0(1(1(2(2(0(1(2(2(0(1(1(2(0(0(0(0(1(2(0(2(x1))))))))))))))))))))))))))))
1(0(2(2(0(2(0(2(1(0(1(0(1(2(2(0(2(0(0(2(2(2(1(1(1(2(2(2(x1)))))))))))))))))))))))))))) -> 2(1(0(2(1(0(2(1(0(0(0(1(0(0(0(2(1(1(2(2(0(1(0(1(0(0(2(0(1(2(0(0(x1))))))))))))))))))))))))))))))))
1(2(0(2(1(0(1(1(1(2(2(2(0(0(0(2(0(1(2(1(0(0(1(1(0(2(0(0(0(x1))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(x1))))))))))))))))))))))))))))))))
2(0(2(2(0(1(0(2(2(1(1(0(0(1(0(2(2(2(2(1(1(1(2(2(2(1(0(2(2(0(x1)))))))))))))))))))))))))))))) -> 2(2(1(2(1(0(2(2(2(1(0(0(0(0(2(2(0(1(2(2(1(1(2(2(2(1(1(2(0(0(x1))))))))))))))))))))))))))))))
2(1(0(1(2(2(0(1(2(2(1(0(2(1(1(2(0(1(1(1(2(2(0(1(1(2(2(2(0(2(2(1(x1)))))))))))))))))))))))))))))))) -> 2(0(2(2(1(1(0(2(2(0(0(2(1(0(0(1(2(0(1(1(0(0(0(2(0(2(1(2(1(0(2(1(2(0(x1))))))))))))))))))))))))))))))))))
2(1(1(0(2(0(0(1(2(2(2(1(2(2(1(2(0(1(1(2(2(2(2(1(0(0(1(1(0(2(2(1(x1)))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(0(0(0(2(0(2(2(2(0(2(0(2(1(0(2(1(0(2(1(1(1(2(0(2(2(2(1(1(x1))))))))))))))))))))))))))))))))))
2(0(2(2(1(1(2(1(1(2(2(0(1(1(2(2(1(1(0(0(0(0(2(1(2(1(2(0(1(2(0(0(2(x1))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(2(2(1(2(1(0(0(1(2(2(1(2(0(0(0(0(2(1(2(1(2(0(1(2(1(0(2(x1)))))))))))))))))))))))))))))))))
0(1(0(0(0(1(1(2(1(2(1(1(2(0(0(0(0(2(1(2(0(2(1(2(1(1(2(1(0(2(1(1(0(1(x1)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(x1))))))))))))))))))))))))))))))))))
1(2(2(0(0(2(1(2(1(0(0(1(1(2(1(0(1(2(2(0(1(0(1(1(0(2(1(0(2(2(0(0(0(0(x1)))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(0(2(1(1(0(1(0(1(0(2(2(1(2(1(1(0(2(0(0(2(0(0(2(1(0(2(1(0(0(1(2(0(x1)))))))))))))))))))))))))))))))))))))
0(1(2(0(2(1(0(1(1(1(2(2(0(0(0(2(0(2(2(2(2(1(1(0(2(1(0(2(0(2(0(1(2(0(2(x1))))))))))))))))))))))))))))))))))) -> 0(2(1(0(0(0(0(0(0(2(1(0(1(0(0(1(0(1(0(1(0(1(2(2(0(2(0(0(1(2(1(0(0(2(2(1(0(1(2(x1)))))))))))))))))))))))))))))))))))))))
1(2(1(1(2(1(2(2(2(1(0(0(1(1(1(0(2(2(2(2(1(1(1(2(2(2(2(1(2(1(1(1(2(2(2(x1))))))))))))))))))))))))))))))))))) -> 1(0(1(1(1(1(0(1(1(1(1(0(0(0(1(1(0(0(2(2(0(1(2(2(0(1(2(0(2(1(0(1(1(0(0(0(0(1(2(1(x1))))))))))))))))))))))))))))))))))))))))
0(0(1(1(0(1(0(0(1(1(2(2(1(1(1(0(2(0(1(1(0(1(2(2(1(1(2(0(0(0(0(0(2(2(1(0(x1)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(x1)))))))))))))))))))))))))))))))))))))
1(0(1(1(1(2(2(0(0(0(0(1(2(0(1(0(2(0(0(0(1(1(1(0(1(1(2(1(0(2(2(2(2(0(0(0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(x1))))))))))))))))))))))))))))))))))))
1(2(2(0(2(1(2(0(1(0(2(2(2(1(2(2(0(2(2(2(0(1(2(0(0(1(1(2(0(0(1(2(1(2(2(0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(0(2(1(0(1(0(2(2(1(0(2(0(2(2(0(0(0(0(0(2(1(2(1(1(0(0(2(1(0(1(0(1(1(0(0(1(1(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))
1(1(0(1(2(2(2(1(2(2(0(2(2(1(0(2(0(0(2(2(1(2(2(2(2(2(0(2(0(2(2(2(1(2(2(2(1(x1))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))
1(2(0(0(1(2(1(1(2(1(0(2(1(1(2(2(1(0(1(1(0(1(2(2(1(2(0(2(2(2(1(2(1(2(0(1(2(x1))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))
1(2(2(2(2(2(2(1(2(2(2(2(2(0(2(2(2(0(0(1(0(2(2(2(1(1(0(0(1(2(2(1(1(1(0(2(0(x1))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(x1))))))))))))))))))))))))))))))))))))))
0(2(1(0(2(2(0(2(2(0(2(0(1(1(0(2(0(0(2(2(1(1(0(2(2(0(2(2(2(2(0(1(2(0(1(2(2(1(x1)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))
1(2(0(0(0(1(2(2(2(2(0(2(0(2(0(1(1(0(2(0(2(2(0(0(2(0(2(0(2(2(0(1(2(0(1(1(1(2(x1)))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(1(0(1(2(0(2(1(0(0(2(0(0(1(1(2(2(1(0(0(1(1(2(0(2(2(0(1(2(1(0(0(2(2(2(1(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))
1(2(0(0(0(2(0(1(2(0(0(2(2(1(2(2(2(1(1(1(1(0(1(0(2(2(1(0(0(2(2(0(2(1(2(1(1(1(x1)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))
2(0(0(0(1(1(2(0(2(0(2(1(2(1(1(2(1(2(1(1(2(1(0(2(2(1(0(2(0(0(2(2(1(1(1(0(0(2(x1)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(2(0(2(0(1(1(0(1(1(1(0(0(2(1(0(0(1(2(2(0(2(0(1(2(2(1(2(1(0(1(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))
2(2(2(1(1(0(1(0(2(0(0(1(1(2(2(2(2(2(2(0(1(0(0(0(1(1(2(1(2(0(2(0(1(0(2(2(1(1(x1)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(x1))))))))))))))))))))))))))))))))))))))))
0(1(1(1(1(2(0(0(1(0(1(0(2(2(0(2(1(0(0(2(0(2(1(2(2(0(2(0(2(1(2(1(2(2(2(2(0(2(0(x1))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))))
0(0(0(1(1(1(1(1(1(1(1(0(1(0(1(1(2(0(2(2(0(0(2(0(1(2(1(1(2(0(2(2(0(1(1(0(2(0(0(2(x1)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))))
1(0(2(0(2(2(1(1(1(2(1(2(0(1(0(2(2(2(2(1(1(0(0(1(0(2(2(0(2(2(2(0(1(0(0(2(2(2(0(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(1(2(1(2(1(2(1(0(1(2(2(0(2(0(2(1(0(1(0(2(0(1(1(0(2(2(0(0(2(1(0(2(1(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))
2(0(0(2(1(1(0(2(2(2(2(1(1(0(2(1(2(1(0(2(1(2(2(2(1(2(0(1(1(1(0(1(1(1(2(0(1(2(1(2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(1(1(1(1(2(0(2(1(2(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(2(0(0(1(1(1(0(2(0(1(2(0(2(x1))))))))))))))))))))))))))))))))))))))))))))
0(2(2(1(2(2(2(2(1(1(0(1(2(0(1(0(1(0(0(0(2(0(1(2(1(1(1(0(2(1(0(0(2(1(0(1(2(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(x1))))))))))))))))))))))))))))))))))))))))))
1(0(1(1(1(2(0(1(2(2(0(0(2(0(2(0(0(2(0(1(0(1(1(2(2(0(1(0(0(1(2(2(0(0(1(1(1(2(2(1(2(x1))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))
2(0(0(0(1(2(2(1(0(1(0(2(0(0(0(2(0(2(0(2(2(0(2(1(0(1(1(1(1(1(2(0(0(2(2(0(1(0(2(2(0(x1))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(x1))))))))))))))))))))))))))))))))))))))))))
1(1(2(0(1(2(2(2(2(0(1(1(1(0(1(2(2(2(0(1(2(1(1(2(0(0(1(1(1(1(2(2(1(2(2(2(2(1(2(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(2(1(1(0(2(0(2(0(1(0(0(1(1(2(2(1(2(1(2(0(1(1(2(1(2(1(2(2(1(1(2(1(0(1(0(0(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))
0(0(2(1(1(1(0(2(0(2(0(2(1(2(0(2(1(2(0(2(2(0(1(2(0(2(2(0(1(2(2(2(0(2(0(2(1(2(0(2(2(1(2(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(0(1(2(2(0(1(1(1(2(1(0(0(0(2(0(1(0(0(1(1(1(1(0(2(1(2(1(0(1(1(2(1(2(1(0(2(1(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))
1(0(2(2(1(1(1(2(0(1(2(0(0(1(1(2(0(2(1(1(1(0(0(1(2(1(2(1(0(0(2(0(0(2(1(1(0(1(2(1(0(2(1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(1(0(1(1(0(2(0(2(2(0(2(0(2(1(2(1(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(2(0(2(0(1(2(1(1(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))
0(2(2(1(1(2(2(1(1(1(0(1(2(2(1(0(0(2(1(0(1(2(1(0(1(0(2(1(1(0(0(1(1(0(1(1(1(1(1(2(1(2(0(1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
1(0(1(2(0(0(0(2(1(0(1(1(1(2(0(1(1(2(1(1(0(2(2(2(0(1(0(2(2(1(0(1(1(1(2(0(1(0(1(0(1(2(2(1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(0(1(0(2(2(0(2(1(0(2(1(1(0(2(2(1(0(2(2(2(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(1(2(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))
1(1(2(1(1(1(1(2(2(1(2(2(1(2(1(0(1(0(1(0(1(2(0(2(0(2(0(2(2(2(2(0(0(1(0(0(0(0(2(2(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(0(1(1(2(0(2(2(0(0(1(1(0(1(1(1(0(0(2(1(0(0(2(1(1(0(0(2(2(0(2(1(2(2(0(0(1(0(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))
1(2(0(0(2(0(1(1(0(0(2(0(2(0(0(2(2(2(1(2(1(2(2(1(0(0(2(2(0(1(1(0(1(2(0(1(2(0(1(1(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))
1(1(2(0(0(2(0(1(1(1(2(2(1(1(2(2(1(1(2(2(0(2(0(2(2(1(2(1(1(2(2(2(2(0(2(2(2(1(1(1(1(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(0(0(2(2(2(0(0(1(0(0(1(2(0(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(0(2(0(1(2(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(1(1(1(2(0(1(1(1(1(0(2(2(0(0(0(0(0(2(0(1(1(0(0(1(2(1(1(2(0(1(1(0(2(0(0(0(2(0(1(2(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(2(1(0(0(2(1(1(0(0(2(1(1(0(1(1(2(2(0(2(1(2(2(2(1(2(2(0(1(2(0(2(1(1(0(2(0(0(0(1(2(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))
0(1(1(2(2(2(0(1(1(2(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(2(2(0(0(0(1(2(2(1(0(1(2(2(0(1(0(1(1(2(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(2(1(0(0(1(1(1(1(0(0(2(2(0(1(0(2(2(1(1(1(1(1(0(1(1(0(2(1(0(2(1(1(2(0(0(2(1(1(0(0(0(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
1(2(2(0(0(0(1(1(2(1(1(1(0(1(2(1(1(2(2(1(2(1(1(0(0(0(2(0(2(2(1(2(1(1(2(0(2(1(1(1(0(1(2(0(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
1(1(1(0(0(2(1(1(1(0(2(2(0(2(2(2(1(0(0(2(0(1(1(2(0(1(2(1(2(1(2(1(2(1(2(2(0(0(2(1(0(0(1(1(1(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))
0(1(0(0(1(2(1(0(2(1(1(1(2(2(1(0(0(2(2(0(2(1(0(1(0(2(2(2(2(1(2(2(1(1(2(1(2(0(0(0(1(1(1(1(0(1(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))
1(0(2(2(0(0(0(1(1(2(1(1(1(2(1(1(2(0(2(1(2(1(2(2(2(0(2(1(2(2(1(0(0(0(1(0(1(1(1(2(1(1(1(2(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))
1(1(0(1(0(1(1(1(1(1(2(1(2(2(0(2(2(0(1(0(2(2(0(2(2(0(0(1(2(1(1(2(0(0(1(2(0(1(2(0(1(2(1(2(0(2(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_2(x_1)) -> 2(encArg(x_1))
encArg(cons_1(x_1)) -> 1(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_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_1 :: cons_0:cons_2:cons_1 -> 1:0:2:encArg:encode_0:encode_1:encode_2
encode_2 :: cons_0:cons_2:cons_1 -> 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_2:cons_12_3 :: cons_0:cons_2:cons_1
gen_cons_0:cons_2:cons_13_3 :: Nat -> cons_0:cons_2:cons_1


Generator Equations:
gen_cons_0:cons_2:cons_13_3(0) <=> hole_cons_0:cons_2:cons_12_3
gen_cons_0:cons_2:cons_13_3(+(x, 1)) <=> cons_0(gen_cons_0:cons_2:cons_13_3(x))


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

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

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

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

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


The TRS R consists of the following rules:

   0(1(1(1(2(1(0(1(x1)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(x1)))))))))))
   0(1(1(1(2(1(2(0(1(x1))))))))) -> 1(0(0(1(2(1(0(1(0(2(1(x1)))))))))))
   2(2(2(1(1(2(1(2(2(x1))))))))) -> 2(2(2(2(1(1(1(2(2(x1)))))))))
   0(1(2(1(2(1(0(1(1(1(2(x1))))))))))) -> 0(2(0(1(2(1(0(0(0(1(0(1(x1))))))))))))
   1(2(0(1(0(1(0(2(0(2(2(x1))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(x1))))))))))))))
   0(1(1(2(0(2(0(2(2(2(2(1(x1)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(x1)))))))))))))
   1(1(1(0(2(2(1(2(0(2(1(2(x1)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(x1))))))))))))))
   2(2(1(1(1(0(2(2(2(0(0(2(0(2(x1)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(x1)))))))))))))))
   0(1(1(2(0(1(2(2(0(1(0(0(1(1(0(x1))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(x1))))))))))))))))
   1(1(1(0(0(2(2(1(2(1(1(2(2(1(1(1(x1)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(x1))))))))))))))))
   1(1(2(2(0(2(2(0(0(2(1(2(2(2(1(0(2(2(x1)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(x1))))))))))))))))))
   1(2(2(2(2(2(2(2(0(1(2(2(1(2(2(1(1(1(x1)))))))))))))))))) -> 2(0(0(1(2(0(0(2(1(1(1(0(1(0(0(2(2(2(1(x1)))))))))))))))))))
   2(1(1(2(1(1(2(2(1(1(1(0(1(2(1(1(2(0(x1)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(x1))))))))))))))))))))
   0(0(2(2(1(1(0(0(0(1(1(0(1(1(1(2(1(2(1(x1))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(x1))))))))))))))))))))
   0(1(2(0(1(0(2(0(0(2(2(0(1(2(2(2(0(1(2(x1))))))))))))))))))) -> 2(0(1(0(0(0(0(2(1(0(0(1(2(2(1(2(1(0(2(1(x1))))))))))))))))))))
   0(2(0(1(0(0(1(0(0(2(0(2(2(2(2(0(0(2(0(2(x1)))))))))))))))))))) -> 1(2(1(2(1(1(1(0(0(0(1(0(2(0(1(2(1(0(2(0(0(2(x1))))))))))))))))))))))
   0(2(2(2(1(0(2(0(1(2(0(2(0(2(2(2(1(0(1(1(x1)))))))))))))))))))) -> 1(1(2(2(0(1(2(0(0(1(2(1(1(0(1(0(0(1(2(2(0(x1)))))))))))))))))))))
   1(0(2(0(1(2(0(1(2(2(0(0(1(0(1(2(2(1(0(1(x1)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(x1)))))))))))))))))))))))
   1(2(1(2(0(1(1(2(1(2(2(1(2(0(1(1(0(2(0(0(1(x1))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(x1))))))))))))))))))))))
   1(1(1(2(0(2(0(0(1(0(0(0(2(1(2(0(1(0(2(0(0(0(x1)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(x1))))))))))))))))))))))))))
   2(2(1(0(2(2(0(0(0(0(1(1(0(2(1(1(2(0(1(2(0(1(x1)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(x1))))))))))))))))))))))))
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   1(2(0(0(2(0(1(1(0(0(2(0(2(0(0(2(2(2(1(2(1(2(2(1(0(0(2(2(0(1(1(0(1(2(0(1(2(0(1(1(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))
   1(1(2(0(0(2(0(1(1(1(2(2(1(1(2(2(1(1(2(2(0(2(0(2(2(1(2(1(1(2(2(2(2(0(2(2(2(1(1(1(1(2(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(0(0(2(2(2(0(0(1(0(0(1(2(0(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(0(2(0(1(2(0(0(2(1(0(2(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(1(1(1(2(0(1(1(1(1(0(2(2(0(0(0(0(0(2(0(1(1(0(0(1(2(1(1(2(0(1(1(0(2(0(0(0(2(0(1(2(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(2(1(0(0(2(1(1(0(0(2(1(1(0(1(1(2(2(0(2(1(2(2(2(1(2(2(0(1(2(0(2(1(1(0(2(0(0(0(1(2(1(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))
   0(1(1(2(2(2(0(1(1(2(0(2(2(1(2(2(2(0(1(1(0(0(2(1(0(2(2(0(0(0(1(2(2(1(0(1(2(2(0(1(0(1(1(2(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(2(1(0(0(1(1(1(1(0(0(2(2(0(1(0(2(2(1(1(1(1(1(0(1(1(0(2(1(0(2(1(1(2(0(0(2(1(1(0(0(0(0(2(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(2(2(0(0(0(1(1(2(1(1(1(0(1(2(1(1(2(2(1(2(1(1(0(0(0(2(0(2(2(1(2(1(1(2(0(2(1(1(1(0(1(2(0(1(0(2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(1(0(0(2(1(1(1(0(2(2(0(2(2(2(1(0(0(2(0(1(1(2(0(1(2(1(2(1(2(1(2(1(2(2(0(0(2(1(0(0(1(1(1(2(2(0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(x1))))))))))))))))))))))))))))))))))))))))))))))))
   0(1(0(0(1(2(1(0(2(1(1(1(2(2(1(0(0(2(2(0(2(1(0(1(0(2(2(2(2(1(2(2(1(1(2(1(2(0(0(0(1(1(1(1(0(1(2(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   1(0(2(2(0(0(0(1(1(2(1(1(1(2(1(1(2(0(2(1(2(1(2(2(2(0(2(1(2(2(1(0(0(0(1(0(1(1(1(2(1(1(1(2(2(2(0(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   1(1(0(1(0(1(1(1(1(1(2(1(2(2(0(2(2(0(1(0(2(2(0(2(2(0(0(1(2(1(1(2(0(0(1(2(0(1(2(0(1(2(1(2(0(2(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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:

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

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

   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_2(x_1)) -> 2(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(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:

   1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(0(2(1(1(0(1(0(1(0(2(2(1(2(1(1(0(2(0(0(2(0(0(2(1(0(2(1(0(0(1(2(0(x1))))))))))))))))))))))))))))))))))))) [1]
   0(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(x1))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(x1)))))))))))))))))))) [1]
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(x1)))))))))))))))))))))))))))))))))) [1]
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2(0(0(1(2(0(0(2(1(1(1(0(1(0(0(2(2(2(1(x1))))))))))))))))))) [1]
   1(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(0(1(1(2(0(2(2(0(0(1(1(0(1(1(1(0(0(2(1(0(0(2(1(1(0(0(2(2(0(2(1(2(2(0(0(1(0(0(2(1(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(1(2(1(2(1(2(1(0(1(2(2(0(2(0(2(1(0(1(0(2(0(1(1(0(2(2(0(0(2(1(0(2(1(2(0(2(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(0(1(0(2(2(0(2(1(0(2(1(1(0(2(2(1(0(2(2(2(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(1(2(1(0(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))))))))))))))) -> 1(0(1(1(1(1(0(1(1(1(1(0(0(0(1(1(0(0(2(2(0(1(2(2(0(1(2(0(2(1(0(1(1(0(0(0(0(1(2(1(x1)))))))))))))))))))))))))))))))))))))))) [1]
   1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(x1)))))))))))))))))))))))))) [1]
   1(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(x1))))))))))))))))))))))) [1]
   1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(0(0(2(2(2(0(0(1(0(0(1(2(0(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(0(2(0(1(2(0(0(2(1(0(2(0(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(x1)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(x1)))))))))))))) [1]
   1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(x1))))))))))))))) [1]
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(0(0(0(2(0(2(2(2(0(2(0(2(1(0(2(1(0(2(1(1(1(2(0(2(2(2(1(1(x1)))))))))))))))))))))))))))))))))) [1]
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(x1))))))))))))))))))))))))))))))))))))) [1]
   2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(2(2(1(2(1(0(0(1(2(2(1(2(0(0(0(0(2(1(2(1(2(0(1(2(1(0(2(x1))))))))))))))))))))))))))))))))) [1]
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   1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(x1)))))))))))))))))))))))))))) -> 2(1(0(2(1(0(2(1(0(0(0(1(0(0(0(2(1(1(2(2(0(1(0(1(0(0(2(0(1(2(0(0(x1)))))))))))))))))))))))))))))))) [1]
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   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(x1)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(x1))))))))))))) [1]
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   1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
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   0(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(x1))))))))) -> 1(0(0(1(2(1(0(1(0(2(1(x1))))))))))) [1]
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   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_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(0(2(1(0(1(0(2(2(1(0(2(0(2(2(0(0(0(0(0(2(1(2(1(1(0(0(2(1(0(1(0(1(1(0(0(1(1(0(0(0(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 2(0(2(2(1(1(0(2(2(0(0(2(1(0(0(1(2(0(1(1(0(0(0(2(0(2(1(2(1(0(2(1(2(0(x1)))))))))))))))))))))))))))))))))) [1]
   0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(x1)))))))))))))))))))))))))))) -> 0(2(1(0(2(0(0(0(1(1(2(2(0(1(2(2(0(1(1(2(0(0(0(0(1(2(0(2(x1)))))))))))))))))))))))))))) [1]
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   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(x1)))))))))))))))))) [1]
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(0(1(2(2(0(1(1(1(2(1(0(0(0(2(0(1(0(0(1(1(1(1(0(2(1(2(1(0(1(1(2(1(2(1(0(2(1(0(2(1(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(x1)))))))))))))))))))))))) [1]
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(x1)))))))))))))))))))))))))))))))) [1]
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x1))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(x1)))))))))))))) [1]
   0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1(1(2(2(0(1(2(0(0(1(2(1(1(0(1(0(0(1(2(2(0(x1))))))))))))))))))))) [1]
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(x1)))))))))))))))))))))))))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))))) -> 1(2(1(2(1(1(1(0(0(0(1(0(2(0(1(2(1(0(2(0(0(2(x1)))))))))))))))))))))) [1]
   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1)))))))))))))))))))))))) -> 1(0(2(0(1(0(0(1(1(1(0(2(1(0(0(1(1(1(0(1(1(0(0(2(1(0(x1)))))))))))))))))))))))))) [1]
   2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(x1)))))))))))))))))))) [1]
   1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(x1))))))))))))))))))))))))))))))))))))))) [1]
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))))))))))))))) -> 0(2(1(0(0(0(0(0(0(2(1(0(1(0(0(1(0(1(0(1(0(1(2(2(0(2(0(0(1(2(1(0(0(2(2(1(0(1(2(x1))))))))))))))))))))))))))))))))))))))) [1]
   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(x1)))))))))))))))))))))))))))))))) [1]
   2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))) -> 2(2(2(2(1(1(1(2(2(x1))))))))) [1]
   0(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_2(x1))))))))))) -> 0(2(0(1(2(1(0(0(0(1(0(1(x1)))))))))))) [1]
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(x1)))))))))))))))))))))))))))))))))))))) [1]
   0(c_0(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1)))))))))))))))))))))))))))) -> 2(1(0(2(2(0(1(1(2(0(2(1(1(0(0(1(0(0(1(2(1(0(1(2(1(1(1(2(1(1(x1)))))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(x1)))))))))))))))))))))))))))))))))))) [1]
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(2(1(0(0(2(1(1(0(0(2(1(1(0(1(1(2(2(0(2(1(2(2(2(1(2(2(0(1(2(0(2(1(1(0(2(0(0(0(1(2(1(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(2(1(0(0(1(1(1(1(0(0(2(2(0(1(0(2(2(1(1(1(1(1(0(1(1(0(2(1(0(2(1(1(2(0(0(2(1(1(0(0(0(0(2(1(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(x1)))))))))))))))))))))))))) [1]
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(x1))))))))))))))))))))))))) [1]
   0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(x1)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(x1))))))))))) [1]
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(x1))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(x1)))))))))))))))))))))) [1]
   0(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_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_2(c_0(c_2(x1))))))))))))))))))))))))))) -> 0(1(1(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(x1)))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(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:

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

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

(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:

   1'(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(x1))))))))))))))))))) -> 0'(0'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(2'(2'(1'(x1))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(1'(1'(2'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(0'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(2'(1'(1'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(0'(1'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(2'(0'(1'(0'(0'(2'(1'(1'(1'(1'(2'(1'(1'(0'(1'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(x1)))))))))))) -> 0'(2'(1'(0'(0'(2'(0'(2'(1'(0'(0'(1'(1'(0'(x1)))))))))))))) [1]
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   1'(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(0'(1'(2'(1'(0'(0'(1'(1'(2'(1'(0'(0'(1'(1'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(2'(0'(1'(2'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(0'(1'(1'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))) -> 2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x1)))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))) -> 0'(1'(1'(0'(1'(1'(1'(1'(1'(1'(1'(2'(1'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(x1)))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x1))))))))))) -> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(x1)))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(1'(2'(2'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(x1))))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(1'(0'(2'(0'(2'(1'(2'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(2'(2'(2'(1'(1'(0'(1'(0'(0'(2'(0'(0'(2'(1'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))))) -> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(x1)))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1)))))))))))))))))))))))) -> 1'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))) [1]
   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(1'(2'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(x1))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))) -> 2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))) -> 2'(2'(2'(2'(1'(1'(1'(2'(2'(x1))))))))) [1]
   0'(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_2(x1))))))))))) -> 0'(2'(0'(1'(2'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(2'(1'(0'(2'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(0'(1'(1'(0'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(2'(0'(2'(0'(0'(x1)))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1)))))))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(2'(1'(1'(1'(2'(1'(1'(x1)))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(2'(1'(0'(2'(0'(1'(0'(1'(0'(2'(0'(0'(2'(1'(1'(1'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(0'(0'(2'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(1'(0'(0'(2'(0'(2'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(2'(1'(2'(2'(2'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(2'(1'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(2'(1'(0'(0'(1'(1'(1'(1'(0'(0'(2'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))) -> 0'(2'(2'(1'(2'(2'(1'(0'(2'(1'(2'(1'(0'(0'(0'(2'(1'(0'(2'(1'(0'(2'(1'(2'(2'(0'(x1)))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(0'(1'(0'(1'(2'(1'(0'(0'(0'(0'(x1))))))))))) [1]
   1'(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(x1))))))))))))))))))))) -> 1'(2'(0'(0'(2'(2'(1'(1'(2'(1'(0'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_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_2(c_0(c_2(x1))))))))))))))))))))))))))) -> 0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(1'(2'(0'(0'(2'(0'(0'(1'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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:

   1'(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(x1))))))))))))))))))) -> 0'(0'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(2'(2'(1'(x1))))))))))))))))))) [1]
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   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_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1'(1'(0'(2'(1'(0'(1'(0'(2'(2'(1'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(2'(0'(0'(1'(1'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(0'(1'(2'(1'(0'(2'(1'(0'(0'(0'(2'(1'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x1)))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(x1)))))))))))))))))))))))))))) -> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(0'(1'(2'(1'(0'(0'(1'(1'(2'(1'(0'(0'(1'(1'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(2'(0'(1'(2'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(x1)))))))))))))))))) -> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(x1)))))))))))))))))) [1]
   0'(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(0'(1'(1'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))) -> 2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x1)))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))) -> 0'(1'(1'(0'(1'(1'(1'(1'(1'(1'(1'(2'(1'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(x1)))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(x1))))))))))) -> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(x1)))))))))))))) [1]
   0'(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(x1)))))))))))))))))))) -> 1'(1'(2'(2'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(x1))))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(x1))))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(2'(0'(2'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 1'(0'(0'(2'(0'(1'(0'(2'(0'(2'(1'(2'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(2'(2'(2'(1'(1'(0'(1'(0'(0'(2'(0'(0'(2'(1'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))))))))) -> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(x1)))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(x1)))))))))))))))))))))))) -> 1'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(2'(1'(0'(x1)))))))))))))))))))))))))) [1]
   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(x1)))))))))))))))))) -> 2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1)))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(0'(2'(1'(2'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(x1))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(x1))))))))))))))))))))))))))))))))))) -> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(x1))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(x1))))))))))))))))))))))))))) -> 2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(x1))))))))) -> 2'(2'(2'(2'(1'(1'(1'(2'(2'(x1))))))))) [1]
   0'(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_2(x1))))))))))) -> 0'(2'(0'(1'(2'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(x1))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(2'(0'(2'(1'(0'(2'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(0'(1'(1'(0'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(2'(0'(2'(0'(0'(x1)))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(x1)))))))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(2'(1'(1'(1'(2'(1'(1'(x1)))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(2'(1'(0'(2'(0'(1'(0'(1'(0'(2'(0'(0'(2'(1'(1'(1'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(0'(0'(2'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(x1))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(2'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(1'(0'(0'(2'(0'(2'(1'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(x1)))))))))))))))))))))))))))))))))))))))))))))) -> 1'(1'(2'(1'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(2'(1'(2'(2'(2'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(2'(1'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(0'(1'(2'(2'(1'(0'(0'(1'(1'(1'(1'(0'(0'(2'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(x1)))))))))))))))))))))) -> 0'(2'(2'(1'(2'(2'(1'(0'(2'(1'(2'(1'(0'(0'(0'(2'(1'(0'(2'(1'(0'(2'(1'(2'(2'(0'(x1)))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(0'(1'(0'(1'(2'(1'(0'(0'(0'(0'(x1))))))))))) [1]
   1'(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(x1))))))))))))))))))))) -> 1'(2'(0'(0'(2'(2'(1'(1'(2'(1'(0'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_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_2(c_0(c_2(x1))))))))))))))))))))))))))) -> 0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(1'(2'(0'(0'(2'(0'(0'(1'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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:
1' :: c_0:c_2:c_1 -> c_0:c_2:c_1
c_2 :: c_0:c_2:c_1 -> c_0:c_2:c_1
c_0 :: c_0:c_2:c_1 -> c_0:c_2:c_1
c_1 :: c_0:c_2:c_1 -> c_0:c_2:c_1
0' :: c_0:c_2:c_1 -> c_0:c_2:c_1
2' :: c_0:c_2:c_1 -> c_0:c_2:c_1
encArg :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1
encode_1 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1
encode_2 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_0_1
   encode_1_1
   encode_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:

   1'(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(x1))))))))))))))))))) -> 0'(0'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(2'(2'(1'(x1))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(1'(1'(2'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(0'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(2'(1'(1'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(0'(1'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(2'(0'(1'(0'(0'(2'(1'(1'(1'(1'(2'(1'(1'(0'(1'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(x1)))))))))))) -> 0'(2'(1'(0'(0'(2'(0'(2'(1'(0'(0'(1'(1'(0'(x1)))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))) -> 2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(1'(0'(1'(2'(1'(2'(1'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(2'(0'(2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1)))))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(0'(2'(2'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1))))))))))))))) -> 2'(0'(2'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(0'(0'(1'(x1)))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(x1)))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(2'(1'(1'(2'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(0'(x1)))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(1'(2'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(0'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(0'(1'(2'(1'(1'(1'(0'(0'(1'(2'(1'(0'(2'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(2'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(2'(1'(0'(1'(1'(0'(2'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(2'(0'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(0'(1'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(x1))))))))))))))))))) -> 2'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1)))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(x1)))))))))))) -> 0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(1'(0'(0'(x1))))))))))))) [1]
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   2'(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
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   1'(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(0'(1'(0'(1'(2'(1'(0'(0'(0'(0'(x1))))))))))) [1]
   1'(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(x1))))))))))))))))))))) -> 1'(2'(0'(0'(2'(2'(1'(1'(2'(1'(0'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_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_2(c_0(c_2(x1))))))))))))))))))))))))))) -> 0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(1'(2'(0'(0'(2'(0'(0'(1'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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:
1' :: c_0:c_2:c_1:const -> c_0:c_2:c_1:const
c_2 :: c_0:c_2:c_1:const -> c_0:c_2:c_1:const
c_0 :: c_0:c_2:c_1:const -> c_0:c_2:c_1:const
c_1 :: c_0:c_2:c_1:const -> c_0:c_2:c_1:const
0' :: c_0:c_2:c_1:const -> c_0:c_2:c_1:const
2' :: c_0:c_2:c_1:const -> c_0:c_2:c_1:const
encArg :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1:const
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1:const
encode_1 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1:const
encode_2 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1:const
const :: c_0:c_2:c_1:const
const1 :: cons_0:cons_2:cons_1

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:

   1'(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(x1))))))))))))))))))) -> 0'(0'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(2'(2'(1'(x1))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(1'(1'(2'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(0'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1187))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1187)))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(x1188))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1188))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1189)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1189)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(x1190))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1190))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(x1191)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1191))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(x1192))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x1192))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(x1193))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x1193)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_1(x1194))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x1194))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(x1195))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x1195))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(x1196))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x1196))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(x1197))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1197))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
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   1'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(2'(1'(1'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
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   1'(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(2'(0'(1'(0'(0'(2'(1'(1'(1'(1'(2'(1'(1'(0'(1'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(x1)))))))))))) -> 0'(2'(1'(0'(0'(2'(0'(2'(1'(0'(0'(1'(1'(0'(x1)))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1389)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1389)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(x1390)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1390))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1391))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1391)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(x1392)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1392))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(x1393))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1393))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(x1394)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x1394))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
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   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(x1401))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x1401))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(x1402))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x1402)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(c_2(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(const))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))) -> 2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(1'(0'(1'(2'(1'(2'(1'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(2'(0'(2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1497)))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1497))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(x1498)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1498)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1499))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1499))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(x1500)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1500)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(x1501))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1501)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
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   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(x1510))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x1510))))))))))))))))))))))))))))))))))))))))) [2]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(c_2(x1))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(const)))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1511))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1511)))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(x1512))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1512))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1513)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1513)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
   1'(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(x1514))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1514))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) [2]
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   1'(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(x1)))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(2'(1'(1'(2'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(0'(x1)))))))))))))))))))))))))))))))) [1]
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   encode_2(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   2'(v0) -> const [0]

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

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'(2'(0'(1'(0'(2'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(2'(2'(1'(0'(2'(2'(0'(0'(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
   0'(z) -{ 1 }-> 2'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(2'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(2'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(2'(1'(1'(1'(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))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(2'(0'(1'(2'(0'(0'(1'(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 + x1)))))))))))))
   0'(z) -{ 1 }-> 2'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(1'(2'(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 + x1)))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(1'(2'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(0'(1'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(0'(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 + (1 + x1)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(1'(2'(1'(2'(1'(0'(2'(1'(0'(1'(0'(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) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x11550)))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11550)))))))))))))))))))))))))), x11550 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x11540))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11540 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11540)))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x11545))))))))))))))))))))))))))))))))))))))))))))) :|: x11545 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11545)))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x11537)))))))))))))))))))))))))))))))))))) :|: x11537 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11537)))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x11546))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11546))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11546 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x11539)))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11539 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11539))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x11538))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11538 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11538)))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x11542))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11542 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11542)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x11549))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11549 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11549))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x11541))))))))))))))))))))))))))))))))))))))))))))))) :|: x11541 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11541))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x11548))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11548 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11548))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x11544))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11544))))))))))))))))))))))))))))))))))))))))))))))))), x11544 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x11543)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11543))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11543 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x11547))))))))))))))))))))))))))))))))))))))))) :|: x11547 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11547)))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(0))))))))))))))))))))) :|: 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'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(2'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(1'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(2'(1'(2'(2'(2'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(2'(1'(0'(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 }-> 1'(0'(1'(0'(1'(2'(1'(0'(0'(0'(0'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   0'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(0'(1'(1'(2'(1'(2'(1'(0'(2'(1'(0'(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 + (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'(0'(0'(1'(2'(1'(0'(1'(0'(2'(1'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))
   0'(z) -{ 1 }-> 0'(2'(2'(0'(1'(2'(1'(1'(1'(0'(0'(1'(2'(1'(0'(2'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x11269)))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11269)))))))))))))))))))))))))))))))))), x11269 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x11259))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11259 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11259)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x11264))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11264 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11264)))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x11256)))))))))))))))))))))))))))))))))))))))))) :|: x11256 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11256)))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x11265))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11265))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11265 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x11258)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11258 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11258))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x11257))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11257))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11257 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x11261))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11261 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11261)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x11268))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11268)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11268 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x11260))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11260 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11260))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x11267))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11267)))))))))))))))))))))))))))))))))))))))))))))))))))), x11267 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x11263))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11263 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11263)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x11262)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11262 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11262)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x11266))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11266))))))))))))))))))))))))))))))))))))))))))), x11266 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(0))))))))))))))))))))))))))) :|: 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 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(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 + x1))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x11648))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11648))))))))))))))))))))))))))))))))))))))))), x11648 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x11638)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11638)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11638 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x11643)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11643 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11643))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x11635))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11635 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11635))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x11644)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11644 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11644))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x11637))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11637))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11637 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x11636)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11636)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11636 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x11640)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11640)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11640 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x11647)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11647 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11647)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x11639)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11639))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11639 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x11646)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11646))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11646 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x11642)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11642)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11642 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x11641))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11641)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11641 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x11645)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11645)))))))))))))))))))))))))))))))))))))))))))))))))), x11645 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(0)))))))))))))))))))))))))))))))))))))) :|: 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 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(2'(1'(0'(0'(1'(1'(1'(1'(0'(0'(2'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(1'(0'(0'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(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 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(0'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(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 + x1))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(1'(2'(0'(0'(2'(0'(0'(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 + x1)))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(0'(2'(2'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(1'(0'(2'(2'(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 + x1)))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(1'(0'(1'(2'(1'(2'(1'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(2'(0'(2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(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 + x1))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(0'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(0'(2'(0'(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 + 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'(1'(0'(1'(1'(0'(2'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(2'(0'(1'(2'(1'(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 + x1))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x1402)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1402 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1402)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1392))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1392 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1392))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x1397))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1397)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1397 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1389)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1389 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1389))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x1398))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1398)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1398 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1391)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1391 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1391)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1390))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1390 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1390))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x1394))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1394)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1394 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x1401))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1401))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1401 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1393))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1393))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1393 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x1400))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1400 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1400)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x1396))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1396)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1396 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x1395)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1395)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1395 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1399))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1399)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1399 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(0))))))))))))))))))))))))))))))))))))))))))))))))) :|: 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)))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(0'(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 + x1))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(0'(2'(1'(2'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(2'(0'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(0'(2'(1'(1'(2'(0'(1'(2'(1'(1'(2'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(1'(1'(2'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(1'(0'(1'(1'(0'(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 + (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 }-> 2'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(1'(0'(1'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(2'(1'(1'(2'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(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))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x1200)))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1200 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1200))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1190))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1190))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1190 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x1195))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1195 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1195)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1187)))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1187 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1187)))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x1196))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1196))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1196 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1189)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1189 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1189))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1188))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1188))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1188 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x1192))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1192))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1192 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x1199))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1199)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1199 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1191))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1191)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1191 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x1198))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1198)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1198 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x1194))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1194 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1194)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x1193)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1193))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1193 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1197))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1197))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1197 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(0))))))))))))))))))))))))))))))))))))))))) :|: 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 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(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 }-> 2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(2'(1'(1'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x11316)))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11316)))))))))))))))))))))))), x11316 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x11306))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11306))))))))))))))))))))))))))))))))))))))))))))), x11306 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x11311))))))))))))))))))))))))))))))))))))))))) :|: x11311 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11311)))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x11303)))))))))))))))))))))))))))))))) :|: x11303 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11303)))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x11312))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11312))))))))))))))))))))))))))))))))))))))))))))))))))))), x11312 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x11305)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11305)))))))))))))))))))))))))))))))))))))))))))))))), x11305 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x11304))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11304 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11304)))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x11308))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11308))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11308 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x11315))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11315 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11315))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x11307))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11307)))))))))))))))))))))))))))))))))))))), x11307 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x11314))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11314)))))))))))))))))))))))))))))))))))))))))), x11314 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x11310))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11310))))))))))))))))))))))))))))))))))))))))))))))), x11310 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x11309)))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11309))))))))))))))))))))))))))))))))))))))))))))))))))))), x11309 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x11313))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11313))))))))))))))))))))))))))))))))), x11313 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(0))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(1 + x1))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x1524)))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1524 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1524))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1514))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1514))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1514 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x1519))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1519))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1519 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1511)))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1511))))))))))))))))))))))))))))))))))))))))))))))))), x1511 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x1520))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1520 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1520)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1513)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1513)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1513 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1512))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1512))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1512 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x1516))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1516 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1516)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x1523))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1523)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1523 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1515))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1515)))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1515 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x1522))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1522)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1522 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x1518))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1518 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1518)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x1517)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1517))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1517 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1521))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1521))))))))))))))))))))))))))))))))))))))))))))))))))))), x1521 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(0))))))))))))))))))))))))))))))))))))))))) :|: 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 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(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 + x1))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(2'(2'(1'(x1))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(2'(1'(0'(2'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(0'(1'(1'(0'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(2'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(0'(2'(2'(1'(1'(2'(1'(0'(2'(1'(0'(1'(0'(1'(1'(2'(2'(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)))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(2'(1'(0'(2'(0'(1'(0'(1'(0'(2'(0'(0'(2'(1'(1'(1'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(0'(0'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(2'(1'(0'(1'(0'(2'(2'(1'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(0'(1'(0'(0'(2'(1'(1'(1'(1'(2'(1'(1'(0'(1'(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 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(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
   1'(z) -{ 1 }-> 1'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(0'(2'(0'(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
   1'(z) -{ 1 }-> 1'(0'(1'(2'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(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 + x1))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(2'(0'(1'(0'(2'(0'(2'(1'(2'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(2'(2'(2'(1'(1'(0'(1'(0'(0'(2'(0'(0'(2'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(1'(2'(2'(1'(0'(2'(1'(2'(1'(0'(0'(0'(2'(1'(0'(2'(1'(0'(2'(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 + x1))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(1'(2'(0'(2'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(1'(0'(0'(2'(0'(2'(1'(0'(0'(1'(1'(0'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x11419)))))))))))))))))))))) :|: x11419 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11419)))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x11409))))))))))))))))))))))))))))))))))))))))))) :|: x11409 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11409))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x11414))))))))))))))))))))))))))))))))))))) :|: x11414 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11414))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x11406)))))))))))))))))))))))))))) :|: x11406 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11406))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x11415))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11415)))))))))))))))))))))))))))))))))))))))))))))), x11415 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x11408)))))))))))))))))))))))))))))))))))))))))))))) :|: x11408 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11408)))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x11407))))))))))))))))))))))))))))))))))))))))))))))) :|: x11407 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11407))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x11411))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11411 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11411))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x11418))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11418 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11418)))))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x11410))))))))))))))))))))))))))))))))))))))) :|: x11410 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11410)))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x11417))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11417))))))))))))))))))))))))))))))))))), x11417 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x11413))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11413)))))))))))))))))))))))))))))))))))))))), x11413 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x11412)))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11412 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11412))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x11416))))))))))))))))))))))))))))))))) :|: x11416 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11416))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(0))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(1 + x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(0'(1'(1'(1'(1'(1'(1'(1'(2'(1'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(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 + x1)))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(1'(1'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(0'(1'(2'(1'(0'(2'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(2'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(1'(0'(0'(2'(0'(2'(1'(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 + x1)))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(0'(1'(2'(1'(0'(0'(1'(1'(2'(1'(0'(0'(1'(1'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(2'(0'(1'(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 + (1 + (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 }-> 0'(0'(1'(1'(0'(0'(1'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(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 }-> 0'(0'(1'(0'(0'(0'(1'(1'(2'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(0'(1'(0'(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 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x11723))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11723))))))))))))))), x11723 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x11713)))))))))))))))))))))))))))))))))))))) :|: x11713 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11713))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x11718)))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11718)))))))))))))))))))))))))))), x11718 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x11710))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11710)))))))))))))))))))), x11710 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x11719)))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11719)))))))))))))))))))))))))))))))))))))))))))), x11719 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x11712))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11712))))))))))))))))))))))))))))))))))))))), x11712 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x11711)))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11711)))))))))))))))))))))))))))))))))))))), x11711 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x11715)))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11715)))))))))))))))))))))))))))))))))))))))))))))), x11715 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x11722)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11722))))))))))))))))))))))))))))))))))))))))))))))), x11722 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x11714)))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11714))))))))))))))))))))))))))))), x11714 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x11721)))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11721))))))))))))))))))))))))))))))))), x11721 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x11717)))))))))))))))))))))))))))))))))))))))))) :|: x11717 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11717))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x11716))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11716)))))))))))))))))))))))))))))))))))))))))))), x11716 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x11720)))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11720)))))))))))))))))))))))), x11720 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(1'(2'(0)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(1'(2'(1 + x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(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 + (1 + (1 + x1))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(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 + x1))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(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))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x1510))))))))))))))))))))))))))))))))))))))))) :|: x1510 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1510)))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1500)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1500)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1500 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x1505)))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1505)))))))))))))))))))))))))))))))))))))))))))))))))))), x1505 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1497))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1497)))))))))))))))))))))))))))))))))))))))))))), x1497 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x1506)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1506 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1506))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1499))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1499 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1499)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1498)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1498)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1498 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x1502)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1502)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1502 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x1509)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1509))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1509 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1501)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x1501 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1501)))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x1508)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1508))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1508 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x1504)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1504)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1504 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x1503))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1503)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x1503 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1507)))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1507)))))))))))))))))))))))))))))))))))))))))))))))), x1507 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(0)))))))))))))))))))))))))))))))) :|: 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)))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(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 + x1)))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(x11016)))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11016)))))))))))))))))))))))))))))))))))))))))))))), x11016 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x11006))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11006))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11006 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(x11011))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11011))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11011 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x11003)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11003 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11003)))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(x11012))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11012))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11012 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x11005)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11005 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11005))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x11004))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11004))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11004 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x11008))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11008 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11008)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(x11015))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11015)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11015 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x11007))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11007)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11007 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(x11014))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11014 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11014))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(x11010))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11010 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11010)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(x11009)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11009))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), x11009 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x11013))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: x11013 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11013)))))))))))))))))))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(0))))))))))))))))))))))))))))))))))))))))))) :|: 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))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(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))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(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 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(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 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(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 }-> 2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1)))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   2'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> 2'(2'(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 2'(1'(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 2'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 2'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(2'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(2'(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   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_19))) :|: z = 1 + x_19, x_19 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_110))) :|: z = 1 + x_110, x_110 >= 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_112))) :|: z = 1 + x_112, x_112 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_113))) :|: z = 1 + x_113, x_113 >= 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_115))) :|: x_115 >= 0, z = 1 + x_115
   encode_2(z) -{ 0 }-> 2'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   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'(2'(0'(1'(0'(2'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(2'(2'(1'(0'(2'(2'(0'(0'(z - 24)))))))))))))))))))))))))) :|: z - 24 >= 0
   0'(z) -{ 1 }-> 2'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(2'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(z - 40)))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   0'(z) -{ 1 }-> 2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(2'(1'(1'(1'(2'(1'(1'(z - 27)))))))))))))))))))))))))))))) :|: z - 27 >= 0
   0'(z) -{ 1 }-> 2'(0'(2'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(0'(0'(1'(z - 14)))))))))))))))) :|: z - 14 >= 0
   0'(z) -{ 1 }-> 2'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(z - 18)))))))))))))))))))) :|: z - 18 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(1'(2'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(0'(1'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(z - 38))))))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   0'(z) -{ 1 }-> 2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(1'(2'(1'(2'(1'(0'(2'(1'(0'(1'(0'(2'(1'(z - 23))))))))))))))))))))))))) :|: z - 23 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 27)))))))))))))))))))))))))))))) :|: z - 27 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 48))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 40))))))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 32)))))))))))))))))))))))))))))))))))) :|: z - 32 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 56))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 56 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 51)))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 51 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 50))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 50 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 58))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 58 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 59))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 59 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 41))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 45))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 50))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 50 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 56)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 56 >= 0
   0'(z) -{ 2 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 36))))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(0))))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(0'(0'(1 + (z - 19)))))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(2'(2'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(0'(1'(2'(2'(0'(z - 19))))))))))))))))))))) :|: z - 19 >= 0
   0'(z) -{ 1 }-> 1'(1'(2'(1'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(2'(1'(2'(2'(2'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(2'(1'(2'(1'(z - 45))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   0'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(2'(1'(0'(z - 23)))))))))))))))))))))))))) :|: z - 23 >= 0
   0'(z) -{ 1 }-> 1'(0'(1'(0'(1'(2'(1'(0'(0'(0'(0'(z - 7))))))))))) :|: z - 7 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(0'(1'(1'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(z - 42))))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0
   0'(z) -{ 1 }-> 1'(0'(0'(1'(2'(1'(0'(1'(0'(2'(1'(z - 8))))))))))) :|: z - 8 >= 0
   0'(z) -{ 1 }-> 0'(2'(2'(0'(1'(2'(1'(1'(1'(0'(0'(1'(2'(1'(0'(2'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(1'(0'(1'(0'(1'(1'(z - 48)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 35)))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 56))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 56 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 48))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 40)))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 64))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 64 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 59)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 59 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 58))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 58 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 66))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 66 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 67))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 67 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 49))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 49 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 53))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 53 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 58))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 58 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 64)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 64 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 44))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(0))))))))))))))))))))))))))) :|: z - 27 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(1'(2'(0'(1 + (z - 27)))))))))))))))))))))))))))) :|: z - 27 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 42))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 63)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 63 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 55)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 55 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 47))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 71)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 71 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 66))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 66 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 65)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 65 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 73)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 73 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 74)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 74 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 56)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 56 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 60)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 60 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 65)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 65 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 71))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 71 >= 0
   0'(z) -{ 2 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 51)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 51 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(0)))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(1'(1 + (z - 34))))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(2'(1'(0'(0'(1'(1'(1'(1'(0'(0'(2'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(0'(0'(0'(2'(1'(z - 46))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 46 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(1'(0'(0'(0'(1'(0'(1'(z - 10)))))))))))) :|: z - 10 >= 0
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(1'(0'(0'(z - 11))))))))))))) :|: z - 11 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(z - 22))))))))))))))))))))))) :|: z - 22 >= 0
   0'(z) -{ 1 }-> 0'(1'(2'(0'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(z - 43))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(z - 33)))))))))))))))))))))))))))))))))) :|: z - 33 >= 0
   0'(z) -{ 1 }-> 0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(1'(2'(0'(0'(2'(0'(0'(1'(1'(0'(2'(1'(z - 26)))))))))))))))))))))))))))) :|: z - 26 >= 0
   0'(z) -{ 1 }-> 0'(1'(0'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(0'(2'(2'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(z - 39)))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(z - 18)))))))))))))))))))) :|: z - 18 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(1'(0'(1'(2'(1'(2'(1'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(2'(0'(2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(2'(0'(z - 35))))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(0'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(0'(1'(z - 37)))))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   0'(z) -{ 0 }-> 0 :|: z >= 0
   0'(z) -{ 0 }-> 1 + z :|: z >= 0
   1'(z) -{ 1 }-> 2'(2'(1'(1'(2'(1'(0'(1'(1'(0'(2'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(2'(0'(1'(2'(1'(1'(1'(1'(z - 42)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 56)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 56 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 77))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 77 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 69))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 69 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 61)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 61 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 85))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 85 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 80)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 80 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 79))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 79 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 87))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 87 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 88))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 88 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 70))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 70 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 74))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 74 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 79))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 79 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 85)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 85 >= 0
   1'(z) -{ 2 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 65))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 65 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(0))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(1 + (z - 48)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(z - 24)))))))))))))))))))))))))) :|: z - 24 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(0'(2'(1'(2'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(2'(0'(1'(1'(0'(0'(z - 36))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(0'(2'(1'(1'(2'(0'(1'(2'(1'(1'(2'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(1'(1'(2'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(1'(0'(1'(1'(0'(2'(2'(0'(0'(z - 48)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   1'(z) -{ 1 }-> 2'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(1'(0'(1'(z - 15)))))))))))))))) :|: z - 15 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(2'(1'(1'(2'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(0'(z - 27)))))))))))))))))))))))))))))))) :|: z - 27 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 68))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 68 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 60))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 60 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 52)))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 52 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 76))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 76 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 71)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 71 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 70))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 70 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 78))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 78 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 79))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 79 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 61))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 61 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 65))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 65 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 70))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 70 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 76)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 76 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 56))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 56 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(0))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(1 + (z - 39)))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(2'(1'(1'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(0'(z - 43))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 25)))))))))))))))))))))))))) :|: z - 25 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 46))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 46 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 38))))))))))))))))))))))))))))))))))))))))) :|: z - 38 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 30)))))))))))))))))))))))))))))))) :|: z - 30 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 54))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 54 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 49)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 49 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 48))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 56))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 56 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 57))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 57 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 39))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 43))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 48))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 54)))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 54 >= 0
   1'(z) -{ 2 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 34))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(0))))))))))))))))) :|: z - 17 >= 0
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(1 + (z - 17)))))))))))))))))) :|: z - 17 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 45)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 66))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 66 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 58))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 58 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 50)))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 50 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 74))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 74 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 69)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 69 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 68))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 68 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 76))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 76 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 77))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 77 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 59))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 59 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 63))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 63 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 68))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 68 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 74)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 74 >= 0
   1'(z) -{ 2 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 54))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 54 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(0))))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(1 + (z - 37)))))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   1'(z) -{ 1 }-> 2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(2'(2'(1'(z - 17))))))))))))))))))) :|: z - 17 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(2'(1'(0'(2'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(0'(1'(1'(0'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(2'(0'(2'(0'(0'(z - 36)))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(1'(2'(2'(0'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   1'(z) -{ 1 }-> 1'(2'(0'(0'(2'(2'(1'(1'(2'(1'(0'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(z - 20)))))))))))))))))))))) :|: z - 20 >= 0
   1'(z) -{ 1 }-> 1'(1'(2'(2'(1'(0'(2'(0'(1'(0'(1'(0'(2'(0'(0'(2'(1'(1'(1'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(0'(0'(2'(1'(0'(0'(z - 35)))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0
   1'(z) -{ 1 }-> 1'(1'(0'(2'(1'(0'(1'(0'(2'(2'(1'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(0'(0'(z - 35)))))))))))))))))))))))))))))))))))))))))) :|: z - 35 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(2'(0'(1'(0'(0'(2'(1'(1'(1'(1'(2'(1'(1'(0'(1'(0'(0'(1'(0'(1'(z - 19))))))))))))))))))))))) :|: z - 19 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(z - 23))))))))))))))))))))))))) :|: z - 23 >= 0
   1'(z) -{ 1 }-> 1'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(z - 44)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 44 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(2'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(1'(2'(0'(z - 33))))))))))))))))))))))))))))))))))))) :|: z - 33 >= 0
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(0'(1'(2'(1'(z - 34)))))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   1'(z) -{ 1 }-> 1'(0'(0'(2'(0'(1'(0'(2'(0'(2'(1'(2'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(2'(2'(2'(1'(1'(0'(1'(0'(0'(2'(0'(0'(2'(1'(1'(0'(1'(0'(1'(1'(z - 37)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   1'(z) -{ 1 }-> 0'(2'(2'(1'(2'(2'(1'(0'(2'(1'(2'(1'(0'(0'(0'(2'(1'(0'(2'(1'(0'(2'(1'(2'(2'(0'(z - 21)))))))))))))))))))))))))) :|: z - 21 >= 0
   1'(z) -{ 1 }-> 0'(2'(1'(2'(0'(2'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(0'(0'(z - 36))))))))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   1'(z) -{ 1 }-> 0'(2'(1'(0'(0'(2'(0'(2'(1'(0'(0'(1'(1'(0'(z - 11)))))))))))))) :|: z - 11 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 18)))))))))))))))))))))) :|: z - 18 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 39))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 31))))))))))))))))))))))))))))))))))))) :|: z - 31 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 23)))))))))))))))))))))))))))) :|: z - 23 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 47))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 42)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 42 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 41))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 49))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 49 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 50))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 50 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 32))))))))))))))))))))))))))))))))))))))) :|: z - 32 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 36))))))))))))))))))))))))))))))))))))))))))))) :|: z - 36 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 41))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   1'(z) -{ 2 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 27))))))))))))))))))))))))))))))))) :|: z - 27 >= 0
   1'(z) -{ 1 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(0))))))))))))) :|: z - 10 >= 0
   1'(z) -{ 1 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(1 + (z - 10)))))))))))))) :|: z - 10 >= 0
   1'(z) -{ 1 }-> 0'(1'(1'(0'(1'(1'(1'(1'(1'(1'(1'(2'(1'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(0'(1'(0'(z - 28)))))))))))))))))))))))))))))))) :|: z - 28 >= 0
   1'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(1'(1'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(0'(1'(2'(1'(0'(2'(1'(0'(0'(0'(2'(1'(1'(z - 46))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 46 >= 0
   1'(z) -{ 1 }-> 0'(0'(2'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(1'(0'(0'(2'(0'(2'(1'(1'(0'(z - 40))))))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   1'(z) -{ 1 }-> 0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(0'(1'(2'(1'(0'(0'(1'(1'(2'(1'(0'(0'(1'(1'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(2'(0'(1'(2'(1'(0'(1'(z - 43)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   1'(z) -{ 1 }-> 0'(0'(1'(1'(0'(0'(1'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(z - 41)))))))))))))))))))))))))))))))))))))))))))))) :|: z - 41 >= 0
   1'(z) -{ 1 }-> 0'(0'(1'(0'(0'(0'(1'(1'(2'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(0'(1'(0'(0'(2'(1'(z - 43))))))))))))))))))))))))))))))))))))))))))))) :|: z - 43 >= 0
   1'(z) -{ 0 }-> 0 :|: z >= 0
   1'(z) -{ 0 }-> 1 + z :|: z >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 16))))))))))))))))) :|: z - 16 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 37)))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 29)))))))))))))))))))))))))))))))) :|: z - 29 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 21))))))))))))))))))))))) :|: z - 21 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 45)))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 40))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 39)))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 48)))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 48 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 30)))))))))))))))))))))))))))))))))) :|: z - 30 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 34)))))))))))))))))))))))))))))))))))))))) :|: z - 34 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 39)))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 45))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   2'(z) -{ 2 }-> 2'(2'(2'(2'(1'(1'(1'(2'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 25)))))))))))))))))))))))))))) :|: z - 25 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(1'(2'(0)))))))) :|: z - 8 >= 0
   2'(z) -{ 1 }-> 2'(2'(2'(2'(1'(1'(1'(2'(1 + (z - 8))))))))) :|: z - 8 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 29)))))))))))))))))))))))))))))) :|: z - 29 >= 0
   2'(z) -{ 1 }-> 2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 21)))))))))))))))))))))))) :|: z - 21 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 13))))))))))))))) :|: z - 13 >= 0
   2'(z) -{ 1 }-> 2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 37)))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 40))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 61)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 61 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 53)))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 53 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 45))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 45 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 69)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 69 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 64))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 64 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 63)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 63 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 71)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 71 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 72)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 72 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 54)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 54 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 58)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 58 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 63)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 63 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 69))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 69 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 49)))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 49 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(0)))))))))))))))))))))))))))))))) :|: z - 32 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(1 + (z - 32))))))))))))))))))))))))))))))))) :|: z - 32 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 31)))))))))))))))))))))))))))))))))) :|: z - 31 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(2'(2'(1'(1'(1'(2'(2'(z - 47)))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 47 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(z - 68))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 68 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(0'(1'(0'(z - 60))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 60 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(z - 52)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 52 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(0'(1'(0'(z - 76))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 76 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(z - 71)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 71 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(z - 70))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 70 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(z - 78))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 78 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 79))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 79 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 61))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 61 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 65))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 65 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 70))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 70 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 76)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 76 >= 0
   2'(z) -{ 2 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 56))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) :|: z - 56 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(0))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(1 + (z - 39)))))))))))))))))))))))))))))))))))))))))))) :|: z - 39 >= 0
   2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(2'(0'(z - 40)))))))))))))))))))))))))))))))))))))))))) :|: z - 40 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(z - 22)))))))))))))))))))))))))) :|: z - 22 >= 0
   2'(z) -{ 1 }-> 2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(0'(1'(1'(z - 26)))))))))))))))))))))))))))))))) :|: z - 26 >= 0
   2'(z) -{ 1 }-> 2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(z - 31)))))))))))))))))))))))))))))))))) :|: z - 31 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(0'(0'(z - 37))))))))))))))))))))))))))))))))))))))) :|: z - 37 >= 0
   2'(z) -{ 1 }-> 2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(z - 17)))))))))))))))))))) :|: z - 17 >= 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:

   1'(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(x1)))))))))))))))))))))))))))))))))) -> 1'(0'(1'(2'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(1'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(1'(2'(0'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(2'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(x1))))))))))))))))))) -> 0'(0'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(1'(0'(2'(2'(1'(2'(1'(0'(x1)))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(x1)))))))))))))))))))))))))))))))))) -> 0'(1'(1'(1'(0'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_1(x1)))))))))))))))))) -> 2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(2'(2'(1'(x1))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(x1)))))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(0'(0'(0'(1'(1'(2'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(0'(1'(0'(0'(2'(1'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(2'(1'(1'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(0'(1'(1'(2'(1'(0'(x1))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(x1))))))))))))))))))))))))))))))))))) -> 1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(0'(1'(2'(1'(x1)))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(x1))))))))))))))))))))))))) -> 2'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(x1)))))))))))))))))))) -> 1'(0'(2'(2'(0'(1'(0'(0'(2'(1'(1'(1'(1'(2'(1'(1'(0'(1'(0'(0'(1'(0'(1'(x1))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(x1))))))))))))))))))))))))))))))))))))))))))))) -> 1'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(0'(2'(0'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(x1)))))))))))) -> 0'(2'(1'(0'(0'(2'(0'(2'(1'(0'(0'(1'(1'(0'(x1)))))))))))))) [1]
   1'(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(2'(0'(1'(2'(2'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(x1)))))))))))))) -> 2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1))))))))))))))) [1]
   2'(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(1'(1'(x1)))))))))))))))))))))))))))))))))) [1]
   0'(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(x1)))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(1'(1'(0'(1'(0'(1'(2'(1'(2'(1'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(2'(0'(2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(x1))))))))))))))))))))))))))))))))) -> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(2'(1'(0'(2'(x1))))))))))))))))))))))))))))))))) [1]
   1'(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))) -> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(1'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   2'(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))) -> 2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(2'(0'(0'(x1)))))))))))))))))))))))))))))) [1]
   0'(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 0'(1'(0'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(0'(2'(2'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(x1))))))))))))))) -> 2'(0'(2'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(0'(0'(1'(x1)))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(x1)))))))))))))))))))))))))))) -> 2'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(2'(1'(1'(2'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(2'(0'(0'(x1)))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(x1))))))))))))))))))))))) -> 0'(1'(2'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(0'(1'(0'(x1))))))))))))))))))))))) [1]
   1'(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))))))))))) -> 1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(1'(2'(2'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(x1)))))))))))))))))))))))))))))))))))))) -> 0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(0'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(0'(2'(0'(1'(1'(0'(1'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))))))))))) -> 0'(2'(2'(0'(1'(2'(1'(1'(1'(0'(0'(1'(2'(1'(0'(2'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(1'(0'(1'(0'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(x1))))))))))))))))))))))))))))))))))))))))) -> 2'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(2'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(2'(1'(1'(0'(1'(0'(0'(x1)))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_1(x1))))))))))))))))))))))))))))))))))))))))))) -> 2'(2'(1'(1'(2'(1'(0'(1'(1'(0'(2'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(2'(0'(1'(2'(1'(1'(1'(1'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   1'(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(x1)))))))))))))))))))))))))))))))))))))))))) -> 0'(0'(1'(1'(0'(0'(1'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(x1)))))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(x1))))))))))))))))))))))))))))))))))))))) -> 2'(0'(0'(1'(2'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(0'(1'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(0'(2'(0'(x1))))))))))))))))))))))))))))))))))))))))))) [1]
   0'(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(x1))))))))))))))))))) -> 2'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(1'(2'(1'(0'(2'(1'(x1)))))))))))))))))))) [1]
   2'(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(x1))))))))))))))))))))))) -> 2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(0'(0'(x1)))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(x1)))))))))))) -> 0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(1'(0'(0'(x1))))))))))))) [1]
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   2'(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(x1)))))))))))))))))))))))))))))))))))))))) -> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(1'(2'(0'(2'(x1)))))))))))))))))))))))))))))))))))))))))))) [1]
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   1'(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(x1)))))))))))))))))))))))) -> 1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(x1))))))))))))))))))))))))) [1]
   0'(c_1(c_1(c_1(c_2(c_1(c_0(c_1(x1)))))))) -> 1'(0'(1'(0'(1'(2'(1'(0'(0'(0'(0'(x1))))))))))) [1]
   1'(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(x1))))))))))))))))))))) -> 1'(2'(0'(0'(2'(2'(1'(1'(2'(1'(0'(2'(1'(0'(1'(0'(1'(1'(2'(2'(0'(1'(x1)))))))))))))))))))))) [1]
   0'(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_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_2(c_0(c_2(x1))))))))))))))))))))))))))) -> 0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(1'(2'(0'(0'(2'(0'(0'(1'(1'(0'(2'(1'(x1)))))))))))))))))))))))))))) [1]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_2(x_1)) -> 2'(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(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:
1' :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_2 :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_0 :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
c_1 :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
0' :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
2' :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2' -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encArg :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
cons_0 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_2 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
cons_1 :: cons_0:cons_2:cons_1 -> cons_0:cons_2:cons_1
encode_0 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encode_1 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
encode_2 :: cons_0:cons_2:cons_1 -> c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encArg :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_0 :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_1 :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_encode_2 :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_0' :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_1' :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
null_2' :: c_0:c_2:c_1:null_encArg:null_encode_0:null_encode_1:null_encode_2:null_0':null_1':null_2'
const :: cons_0:cons_2:cons_1

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'(2'(0'(1'(0'(2'(0'(2'(0'(2'(1'(0'(0'(1'(0'(0'(2'(2'(1'(0'(2'(2'(0'(0'(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
   0'(z) -{ 1 }-> 2'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(1'(1'(0'(1'(0'(0'(1'(0'(0'(2'(0'(2'(2'(0'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(2'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(1'(2'(1'(0'(1'(2'(1'(1'(1'(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))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(2'(0'(1'(2'(0'(0'(1'(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 + x1)))))))))))))
   0'(z) -{ 1 }-> 2'(0'(1'(0'(0'(0'(0'(2'(1'(0'(0'(1'(2'(2'(1'(2'(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 + x1)))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(1'(2'(2'(1'(0'(0'(2'(1'(0'(2'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(0'(1'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(0'(0'(0'(2'(2'(0'(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 + (1 + x1)))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 2'(0'(0'(0'(2'(1'(2'(2'(0'(1'(1'(0'(1'(2'(1'(2'(1'(0'(2'(1'(0'(1'(0'(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 }-> 1'(2'(1'(2'(1'(1'(1'(0'(0'(0'(1'(0'(2'(0'(1'(2'(1'(0'(2'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(2'(0'(1'(2'(0'(0'(1'(2'(1'(1'(0'(1'(0'(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 + x1))))))))))))))))))
   0'(z) -{ 1 }-> 1'(1'(2'(1'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(1'(1'(0'(1'(1'(2'(2'(0'(2'(1'(2'(2'(2'(1'(2'(2'(0'(1'(2'(0'(2'(1'(1'(0'(2'(0'(0'(0'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 1'(0'(2'(0'(1'(0'(0'(1'(1'(1'(0'(2'(1'(0'(0'(1'(1'(1'(0'(1'(1'(0'(0'(2'(1'(0'(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 }-> 1'(0'(1'(0'(1'(2'(1'(0'(0'(0'(0'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   0'(z) -{ 1 }-> 1'(0'(0'(2'(0'(0'(1'(2'(2'(0'(1'(1'(1'(2'(1'(0'(0'(0'(2'(0'(1'(0'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(0'(1'(1'(2'(1'(2'(1'(0'(2'(1'(0'(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 + (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'(0'(0'(1'(2'(1'(0'(1'(0'(2'(1'(x1))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))
   0'(z) -{ 1 }-> 0'(2'(2'(0'(1'(2'(1'(1'(1'(0'(0'(1'(2'(1'(0'(2'(1'(1'(2'(2'(0'(1'(2'(1'(0'(0'(0'(1'(2'(1'(0'(2'(0'(0'(2'(0'(1'(2'(2'(2'(2'(1'(1'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (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'(1'(0'(2'(0'(0'(0'(1'(1'(2'(2'(0'(1'(2'(2'(0'(1'(1'(2'(0'(0'(0'(0'(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 + x1))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(1'(0'(0'(0'(0'(0'(0'(2'(1'(0'(1'(0'(0'(1'(0'(1'(0'(1'(0'(1'(2'(2'(0'(2'(0'(0'(1'(2'(1'(0'(0'(2'(2'(1'(0'(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 + x1)))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(2'(1'(0'(0'(1'(1'(1'(1'(0'(0'(2'(2'(0'(1'(0'(2'(2'(1'(1'(1'(1'(1'(0'(1'(1'(0'(2'(1'(0'(2'(1'(1'(2'(0'(0'(2'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(1'(2'(1'(0'(0'(0'(1'(0'(1'(x1)))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   0'(z) -{ 1 }-> 0'(2'(0'(0'(0'(0'(0'(0'(1'(2'(1'(0'(0'(x1))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(2'(0'(0'(1'(2'(0'(0'(0'(0'(2'(1'(0'(0'(1'(1'(0'(1'(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 + x1)))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(2'(0'(1'(1'(0'(2'(0'(0'(1'(0'(0'(1'(0'(1'(2'(1'(0'(1'(0'(1'(0'(0'(1'(0'(2'(1'(0'(1'(2'(1'(0'(0'(0'(0'(0'(2'(2'(2'(2'(2'(2'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(1'(0'(1'(2'(1'(1'(1'(1'(1'(0'(0'(0'(0'(0'(2'(0'(2'(0'(1'(2'(2'(2'(1'(2'(1'(0'(2'(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 + x1))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(1'(0'(1'(0'(1'(0'(1'(0'(0'(2'(1'(0'(1'(0'(1'(2'(0'(0'(2'(0'(0'(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 + x1)))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(1'(0'(2'(1'(2'(1'(2'(1'(1'(2'(1'(2'(1'(0'(2'(2'(1'(0'(1'(2'(0'(0'(1'(1'(1'(0'(2'(1'(2'(2'(0'(2'(1'(1'(0'(0'(1'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(2'(1'(1'(1'(2'(2'(2'(0'(1'(2'(1'(0'(2'(2'(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 + x1)))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(1'(1'(0'(1'(0'(1'(2'(1'(2'(1'(1'(0'(0'(1'(0'(1'(2'(2'(2'(1'(2'(0'(2'(0'(0'(1'(1'(1'(2'(0'(0'(0'(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 + x1))))))))))))))))))))))))))))))))))
   0'(z) -{ 1 }-> 0'(0'(0'(0'(1'(1'(2'(2'(2'(2'(2'(2'(0'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(1'(1'(0'(2'(1'(0'(0'(0'(2'(1'(0'(0'(0'(2'(0'(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 + 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'(1'(0'(1'(1'(0'(2'(0'(2'(2'(0'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(2'(1'(0'(0'(0'(1'(0'(1'(0'(0'(0'(2'(0'(2'(0'(1'(2'(1'(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 + x1))))))))))))))))))))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(2'(0'(0'(2'(2'(0'(0'(1'(2'(0'(2'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(1'(0'(1'(1'(2'(0'(2'(0'(1'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(1'(1'(2'(1'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(1'(0'(0'(1'(0'(1'(0'(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 + x1))))))))))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(2'(0'(0'(2'(1'(2'(1'(0'(0'(1'(0'(1'(2'(2'(0'(2'(1'(0'(0'(0'(0'(1'(0'(0'(0'(0'(1'(2'(0'(1'(2'(0'(2'(0'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(2'(0'(0'(2'(1'(1'(2'(0'(1'(2'(1'(1'(2'(2'(0'(2'(1'(2'(1'(2'(1'(2'(2'(1'(1'(1'(1'(1'(2'(1'(1'(2'(1'(2'(1'(1'(1'(0'(1'(2'(1'(0'(1'(1'(0'(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 + (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 }-> 2'(1'(2'(1'(1'(1'(2'(1'(2'(1'(2'(1'(0'(1'(0'(1'(x1)))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(2'(1'(0'(0'(0'(1'(0'(0'(0'(2'(1'(1'(2'(2'(0'(1'(0'(1'(0'(0'(2'(0'(1'(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))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(1'(2'(1'(2'(1'(2'(1'(0'(1'(2'(2'(0'(2'(0'(2'(1'(0'(1'(0'(2'(0'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(2'(1'(0'(0'(1'(0'(2'(2'(0'(2'(1'(0'(2'(1'(1'(0'(2'(2'(1'(0'(2'(2'(2'(1'(1'(0'(0'(1'(1'(0'(1'(1'(0'(0'(0'(1'(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 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(1'(0'(1'(0'(2'(0'(2'(2'(2'(2'(1'(2'(2'(0'(1'(2'(2'(x1)))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 2'(0'(2'(1'(1'(0'(1'(2'(0'(2'(1'(0'(0'(2'(0'(0'(1'(1'(2'(2'(1'(0'(0'(1'(1'(2'(0'(2'(2'(0'(1'(2'(1'(0'(0'(2'(2'(2'(1'(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))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 2'(0'(0'(1'(2'(0'(0'(2'(1'(1'(1'(0'(1'(0'(0'(2'(2'(2'(1'(x1))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   1'(z) -{ 1 }-> 1'(2'(1'(2'(0'(2'(1'(0'(2'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(0'(1'(1'(0'(0'(1'(1'(2'(1'(1'(0'(2'(1'(2'(2'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(1'(0'(2'(0'(1'(1'(1'(0'(2'(1'(0'(0'(2'(2'(1'(0'(2'(2'(0'(1'(1'(2'(0'(1'(2'(1'(2'(1'(0'(1'(1'(1'(2'(2'(0'(0'(2'(1'(0'(2'(1'(2'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(2'(0'(0'(2'(2'(1'(1'(2'(1'(0'(2'(1'(0'(1'(0'(1'(1'(2'(2'(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)))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(2'(2'(1'(0'(2'(0'(1'(0'(1'(0'(2'(0'(0'(2'(1'(1'(1'(2'(0'(1'(0'(0'(1'(2'(2'(1'(0'(0'(0'(0'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(1'(0'(2'(1'(0'(1'(0'(2'(2'(1'(0'(2'(0'(2'(2'(0'(0'(0'(0'(0'(2'(1'(2'(1'(1'(0'(0'(2'(1'(0'(1'(0'(1'(1'(0'(0'(1'(1'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(2'(0'(1'(0'(0'(2'(1'(1'(1'(1'(2'(1'(1'(0'(1'(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 + x1))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(2'(0'(2'(1'(0'(0'(0'(0'(0'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(0'(0'(0'(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
   1'(z) -{ 1 }-> 1'(0'(2'(0'(0'(2'(2'(2'(0'(0'(1'(0'(0'(1'(2'(0'(1'(0'(1'(1'(1'(1'(1'(1'(0'(0'(0'(1'(0'(0'(2'(0'(2'(0'(1'(2'(0'(0'(2'(1'(0'(2'(0'(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
   1'(z) -{ 1 }-> 1'(0'(1'(2'(1'(0'(2'(1'(1'(0'(1'(0'(1'(0'(2'(2'(1'(2'(1'(1'(0'(2'(0'(0'(2'(0'(0'(2'(1'(0'(2'(1'(0'(0'(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 + x1))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(1'(1'(1'(1'(0'(1'(1'(1'(1'(0'(0'(0'(1'(1'(0'(0'(2'(2'(0'(1'(2'(2'(0'(1'(2'(0'(2'(1'(0'(1'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 1'(0'(0'(2'(0'(1'(0'(2'(0'(2'(1'(2'(1'(0'(1'(1'(0'(1'(0'(0'(0'(1'(0'(1'(0'(0'(2'(2'(2'(1'(1'(0'(1'(0'(0'(2'(0'(0'(2'(1'(1'(0'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(2'(1'(2'(2'(1'(0'(2'(1'(2'(1'(0'(0'(0'(2'(1'(0'(2'(1'(0'(2'(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 + x1))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(1'(2'(0'(2'(2'(1'(1'(0'(2'(2'(2'(2'(0'(2'(1'(0'(2'(0'(1'(2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(0'(0'(0'(0'(1'(1'(0'(0'(0'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(2'(1'(0'(0'(2'(0'(2'(1'(0'(0'(1'(1'(0'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(2'(1'(0'(1'(0'(0'(2'(1'(0'(0'(2'(x1)))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))
   1'(z) -{ 1 }-> 0'(1'(1'(0'(1'(1'(1'(1'(1'(1'(1'(2'(1'(0'(0'(1'(2'(1'(1'(0'(0'(1'(0'(1'(0'(0'(2'(0'(1'(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 + x1)))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(2'(0'(2'(0'(0'(1'(1'(1'(1'(1'(1'(2'(0'(2'(1'(2'(1'(1'(1'(0'(0'(1'(1'(2'(2'(2'(1'(2'(2'(1'(0'(2'(1'(1'(0'(1'(2'(1'(0'(2'(1'(0'(0'(0'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(2'(0'(0'(0'(0'(1'(1'(0'(0'(0'(2'(0'(0'(2'(1'(0'(0'(2'(0'(2'(0'(0'(1'(1'(2'(2'(1'(2'(1'(0'(1'(0'(2'(1'(1'(0'(0'(2'(0'(2'(1'(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 + x1)))))))))))))))))))))))))))))))))))))))
   1'(z) -{ 1 }-> 0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(1'(0'(0'(1'(2'(0'(1'(2'(1'(0'(0'(1'(1'(2'(1'(0'(0'(1'(1'(2'(0'(0'(2'(0'(0'(2'(1'(1'(0'(2'(0'(1'(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 + (1 + (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 }-> 0'(0'(1'(1'(0'(0'(1'(2'(1'(1'(0'(2'(0'(2'(0'(1'(0'(0'(1'(1'(2'(2'(1'(2'(1'(2'(0'(1'(1'(2'(1'(2'(1'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(1'(1'(0'(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 }-> 0'(0'(1'(0'(0'(0'(1'(1'(2'(0'(2'(2'(0'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(2'(1'(1'(0'(0'(2'(2'(0'(2'(1'(2'(2'(0'(0'(1'(0'(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 + (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'(1'(2'(2'(x1))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))
   2'(z) -{ 1 }-> 2'(2'(1'(2'(1'(0'(2'(2'(2'(1'(0'(0'(0'(0'(2'(2'(0'(1'(2'(2'(1'(1'(2'(2'(2'(1'(1'(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 + (1 + (1 + x1))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(1'(0'(2'(1'(0'(2'(1'(0'(1'(0'(0'(1'(1'(0'(2'(2'(1'(1'(2'(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 + x1))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(2'(1'(1'(0'(0'(0'(1'(2'(1'(0'(1'(1'(x1))))))))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))
   2'(z) -{ 1 }-> 2'(2'(0'(1'(2'(2'(0'(0'(2'(1'(0'(1'(2'(1'(1'(0'(2'(1'(1'(1'(0'(1'(1'(1'(1'(0'(2'(1'(2'(1'(1'(0'(0'(0'(1'(0'(1'(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))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(2'(2'(1'(2'(1'(0'(0'(1'(2'(2'(1'(2'(0'(0'(0'(0'(2'(1'(2'(1'(2'(0'(1'(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 + x1)))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(2'(1'(1'(0'(0'(0'(0'(2'(0'(2'(2'(2'(0'(2'(0'(2'(1'(0'(2'(1'(0'(2'(1'(1'(1'(2'(0'(2'(2'(2'(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 + x1)))))))))))))))))))))))))))))), x1 >= 0
   2'(z) -{ 1 }-> 2'(1'(2'(0'(0'(1'(2'(1'(1'(1'(1'(2'(0'(2'(1'(2'(0'(0'(1'(1'(1'(2'(1'(1'(0'(0'(0'(0'(0'(0'(0'(2'(0'(0'(1'(1'(1'(0'(2'(0'(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 + x1))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(1'(1'(2'(0'(2'(2'(2'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(1'(0'(2'(0'(2'(1'(1'(1'(1'(0'(2'(2'(1'(1'(2'(1'(0'(1'(0'(0'(0'(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 + (1 + (1 + (1 + x1)))))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(2'(2'(0'(2'(1'(0'(2'(2'(1'(0'(0'(0'(2'(2'(2'(1'(2'(1'(2'(1'(0'(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 + x1)))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(1'(0'(0'(2'(0'(0'(2'(0'(1'(0'(1'(1'(2'(1'(1'(1'(0'(0'(0'(0'(1'(0'(0'(2'(1'(1'(2'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(2'(2'(1'(1'(0'(2'(2'(0'(0'(2'(1'(0'(0'(1'(2'(0'(1'(1'(0'(0'(0'(2'(0'(2'(1'(2'(1'(0'(2'(1'(2'(0'(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 }-> 2'(0'(0'(2'(2'(0'(2'(0'(1'(1'(0'(1'(1'(1'(0'(0'(2'(1'(0'(0'(1'(2'(2'(0'(2'(0'(1'(2'(2'(1'(2'(1'(0'(1'(0'(1'(1'(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 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))))))))))))))))))))))))))))))
   2'(z) -{ 1 }-> 2'(0'(0'(0'(1'(1'(2'(2'(2'(0'(2'(1'(0'(0'(0'(1'(2'(2'(0'(0'(x1)))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1)))))))))))))))), x1 >= 0
   2'(z) -{ 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_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(z0))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(z0))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(z0))))))))))))))))))) -> 2(0(1(0(0(0(0(2(1(0(0(1(2(2(1(2(1(0(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))))
   0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))) -> 2(0(0(0(2(1(2(2(0(1(1(0(1(2(1(2(1(0(2(1(0(1(0(2(1(z0)))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0))))))))) -> 1(0(0(1(2(1(0(1(0(2(1(z0)))))))))))
   0(c_2(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_0(c_2(c_2(z0))))))))))))))))))))))))) -> 2(2(2(2(0(1(0(2(0(2(0(2(1(0(0(1(0(0(2(2(1(0(2(2(0(0(z0))))))))))))))))))))))))))
   0(c_2(c_1(c_1(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(z0)))))))))))))))))))))))))))) -> 0(2(1(0(2(0(0(0(1(1(2(2(0(1(2(2(0(1(1(2(0(0(0(0(1(2(0(2(z0))))))))))))))))))))))))))))
   0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_0(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(0(1(2(2(0(1(1(1(2(1(0(0(0(2(0(1(0(0(1(1(1(1(0(2(1(2(1(0(1(1(2(1(2(1(0(2(1(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_2(c_1(c_0(c_2(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_1(c_1(z0)))))))))))))))))))) -> 1(1(2(2(0(1(2(0(0(1(2(1(1(0(1(0(0(1(2(2(0(z0)))))))))))))))))))))
   0(c_2(c_0(c_1(c_0(c_0(c_1(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))))))))) -> 1(2(1(2(1(1(1(0(0(0(1(0(2(0(1(2(1(0(2(0(0(2(z0))))))))))))))))))))))
   0(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_2(z0)))))))))))))))))))))))) -> 1(0(2(0(1(0(0(1(1(1(0(2(1(0(0(1(1(1(0(1(1(0(0(2(1(0(z0))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_0(c_2(c_0(c_1(c_2(c_0(c_2(z0))))))))))))))))))))))))))))))))))) -> 0(2(1(0(0(0(0(0(0(2(1(0(1(0(0(1(0(1(0(1(0(1(2(2(0(2(0(0(1(2(1(0(0(2(2(1(0(1(2(z0)))))))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_1(c_2(c_1(c_0(c_1(c_1(c_1(c_2(z0))))))))))) -> 0(2(0(1(2(1(0(0(0(1(0(1(z0))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_2(c_1(z0)))))))))))))))))))))))))))) -> 2(1(0(2(2(0(1(1(2(0(2(1(1(0(0(1(0(0(1(2(1(0(1(2(1(1(1(2(1(1(z0))))))))))))))))))))))))))))))
   0(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(2(1(2(1(0(0(2(1(1(0(0(2(1(1(0(1(1(2(2(0(2(1(2(2(2(1(2(2(0(1(2(0(2(1(1(0(2(0(0(0(1(2(1(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(0(1(2(2(1(0(0(1(1(1(1(0(0(2(2(0(1(0(2(2(1(1(1(1(1(0(1(1(0(2(1(0(2(1(1(2(0(0(2(1(1(0(0(0(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(z0)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(z0)))))))))))
   0(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_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_2(c_0(c_2(z0))))))))))))))))))))))))))) -> 0(1(1(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))))))))))))))))))
   1(z0) -> c_1(z0)
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   1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(z0))))))))))))))))
   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_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(0(2(1(0(1(0(2(2(1(0(2(0(2(2(0(0(0(0(0(2(1(2(1(1(0(0(2(1(0(1(0(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(z0))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(z0))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
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   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(z0))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(z0))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(z0)))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(0(0(0(2(0(2(2(2(0(2(0(2(1(0(2(1(0(2(1(1(1(2(0(2(2(2(1(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(2(2(1(2(1(0(0(1(2(2(1(2(0(0(0(0(2(1(2(1(2(0(1(2(1(0(2(z0)))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))) -> 2(2(1(2(1(0(2(2(2(1(0(0(0(0(2(2(0(1(2(2(1(1(2(2(2(1(1(2(0(0(z0))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(2(0(2(1(0(2(2(1(0(0(0(2(2(2(1(2(1(2(1(0(0(0(z0))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(1(1(1(1(2(0(2(1(2(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(2(0(0(1(1(1(0(2(0(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(2(0(2(0(1(1(0(1(1(1(0(0(2(1(0(0(1(2(2(0(2(0(1(2(2(1(2(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))) -> 2(0(2(2(1(1(0(2(2(0(0(2(1(0(0(1(2(0(1(1(0(0(0(2(0(2(1(2(1(0(2(1(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(z0))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> 2(2(2(2(1(1(1(2(2(z0)))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(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_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> c8(0'(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))))))), 0'(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))), 2'(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))))), 1'(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))), 1'(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))), 1'(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))), 2'(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))), 2'(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))), 2'(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(2(2(1(2(1(0(z0))))))))))), 1'(2(1(0(2(2(1(2(1(0(z0)))))))))), 2'(1(0(2(2(1(2(1(0(z0))))))))), 1'(0(2(2(1(2(1(0(z0)))))))), 0'(2(2(1(2(1(0(z0))))))), 2'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   0'(c_1(c_1(c_1(c_2(c_1(c_0(c_1(z0)))))))) -> c33(1'(0(1(0(1(2(1(0(0(0(0(z0))))))))))), 0'(1(0(1(2(1(0(0(0(0(z0)))))))))), 1'(0(1(2(1(0(0(0(0(z0))))))))), 0'(1(2(1(0(0(0(0(z0)))))))), 1'(2(1(0(0(0(0(z0))))))), 2'(1(0(0(0(0(z0)))))), 1'(0(0(0(0(z0))))), 0'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   0'(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_2(c_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_2(c_0(c_2(z0))))))))))))))))))))))))))) -> c34(0'(1(1(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))))))))))))))))))), 1'(1(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))))))))))))))))), 1'(0(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))))))))))))))))), 0'(1(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))))))))))))))), 1'(0(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))))))))))))))), 0'(1(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))))))))))))), 1'(0(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))))))))))))), 0'(1(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))))))))))), 1'(0(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))))))))))), 0'(0(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))))))))), 0'(2(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))))))))), 2'(1(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))))))), 1'(0(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))))))), 0'(1(0(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))))), 1'(0(1(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))))), 0'(1(2(0(0(2(0(0(1(1(0(2(1(z0))))))))))))), 1'(2(0(0(2(0(0(1(1(0(2(1(z0)))))))))))), 2'(0(0(2(0(0(1(1(0(2(1(z0))))))))))), 0'(0(2(0(0(1(1(0(2(1(z0)))))))))), 0'(2(0(0(1(1(0(2(1(z0))))))))), 2'(0(0(1(1(0(2(1(z0)))))))), 0'(0(1(1(0(2(1(z0))))))), 0'(1(1(0(2(1(z0)))))), 1'(1(0(2(1(z0))))), 1'(0(2(1(z0)))), 0'(2(1(z0))), 2'(1(z0)), 1'(z0))
   1'(z0) -> c35
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   1'(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> c67(1'(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0))))))))))))))))))))))))), 0'(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))), 2'(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0))))))))))))))))))))))), 0'(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))), 2'(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0))))))))))))))))))))), 1'(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))), 0'(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0))))))))))))))))))), 0'(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))), 0'(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0))))))))))))))))), 0'(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))), 0'(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0))))))))))))))), 1'(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))), 1'(1(1(2(0(2(1(2(1(1(0(0(0(z0))))))))))))), 1'(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))), 1'(2(0(2(1(2(1(1(0(0(0(z0))))))))))), 2'(0(2(1(2(1(1(0(0(0(z0)))))))))), 0'(2(1(2(1(1(0(0(0(z0))))))))), 2'(1(2(1(1(0(0(0(z0)))))))), 1'(2(1(1(0(0(0(z0))))))), 2'(1(1(0(0(0(z0)))))), 1'(1(0(0(0(z0))))), 1'(0(0(0(z0)))), 0'(0(0(z0))), 0'(0(z0)), 0'(z0))
   1'(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> c68(1'(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0)))))))))))))))))))))), 2'(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))), 0'(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0)))))))))))))))))))), 0'(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))), 2'(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0)))))))))))))))))), 2'(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))), 1'(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0)))))))))))))))), 1'(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))), 2'(1(0(2(1(0(1(0(1(1(2(2(0(1(z0)))))))))))))), 1'(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))), 0'(2(1(0(1(0(1(1(2(2(0(1(z0)))))))))))), 2'(1(0(1(0(1(1(2(2(0(1(z0))))))))))), 1'(0(1(0(1(1(2(2(0(1(z0)))))))))), 0'(1(0(1(1(2(2(0(1(z0))))))))), 1'(0(1(1(2(2(0(1(z0)))))))), 0'(1(1(2(2(0(1(z0))))))), 1'(1(2(2(0(1(z0)))))), 1'(2(2(0(1(z0))))), 2'(2(0(1(z0)))), 2'(0(1(z0))), 0'(1(z0)), 1'(z0))
   2'(z0) -> c69
   2'(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))) -> c70(2'(2(0(2(1(1(0(0(0(1(2(1(0(1(1(z0))))))))))))))), 2'(0(2(1(1(0(0(0(1(2(1(0(1(1(z0)))))))))))))), 0'(2(1(1(0(0(0(1(2(1(0(1(1(z0))))))))))))), 2'(1(1(0(0(0(1(2(1(0(1(1(z0)))))))))))), 1'(1(0(0(0(1(2(1(0(1(1(z0))))))))))), 1'(0(0(0(1(2(1(0(1(1(z0)))))))))), 0'(0(0(1(2(1(0(1(1(z0))))))))), 0'(0(1(2(1(0(1(1(z0)))))))), 0'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
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   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
S tuples:
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, 2_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_49, c8_20, c9_34, c10_37, c11_44, c12_16, c13_23, c14_42, c15_50, c16_42, c17_43, c18_20, c19_13, c20_25, c21_11, c22_26, c23_28, c24_45, c25_21, c26_22, c27_26, c28_39, c29_12, c30_30, c31_47, c32_49, c33_11, c34_28, c35, c36_37, c37_19, c38_45, c39_42, c40_45, c41_40, c42_26, c43_23, c44_46, c45_14, c46_50, c47_42, c48_32, c49_48, c50_46, c51_46, c52_50, c53_16, c54_42, c55_49, c56_46, c57_18, c58_32, c59_14, c60_45, c61_46, c62_39, c63_38, c64_36, c65_45, c66_26, c67_25, c68_22, c69, c70_15, c71_34, c72_33, c73_30, c74_26, c75_44, c76_39, c77_34, c78_24, c79_40, c80_20, c81_32, c82_42, c83_9


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   1'(z0) -> c35
   0'(z0) -> c6
   2'(z0) -> c69

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(z0))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(z0))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))
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   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))))
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   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(z0))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(z0))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(z0))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(z0))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(z0)))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(0(0(0(2(0(2(2(2(0(2(0(2(1(0(2(1(0(2(1(1(1(2(0(2(2(2(1(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(2(2(1(2(1(0(0(1(2(2(1(2(0(0(0(0(2(1(2(1(2(0(1(2(1(0(2(z0)))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))) -> 2(2(1(2(1(0(2(2(2(1(0(0(0(0(2(2(0(1(2(2(1(1(2(2(2(1(1(2(0(0(z0))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(2(0(2(1(0(2(2(1(0(0(0(2(2(2(1(2(1(2(1(0(0(0(z0))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(1(1(1(1(2(0(2(1(2(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(2(0(0(1(1(1(0(2(0(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(2(0(2(0(1(1(0(1(1(1(0(0(2(1(0(0(1(2(2(0(2(0(1(2(2(1(2(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))) -> 2(0(2(2(1(1(0(2(2(0(0(2(1(0(0(1(2(0(1(1(0(0(0(2(0(2(1(2(1(0(2(1(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(z0))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> 2(2(2(2(1(1(1(2(2(z0)))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(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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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
S tuples:
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, 2_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_49, c8_20, c9_34, c10_37, c11_44, c12_16, c13_23, c14_42, c15_50, c16_42, c17_43, c18_20, c19_13, c20_25, c21_11, c22_26, c23_28, c24_45, c25_21, c26_22, c27_26, c28_39, c29_12, c30_30, c31_47, c32_49, c33_11, c34_28, c36_37, c37_19, c38_45, c39_42, c40_45, c41_40, c42_26, c43_23, c44_46, c45_14, c46_50, c47_42, c48_32, c49_48, c50_46, c51_46, c52_50, c53_16, c54_42, c55_49, c56_46, c57_18, c58_32, c59_14, c60_45, c61_46, c62_39, c63_38, c64_36, c65_45, c66_26, c67_25, c68_22, c70_15, c71_34, c72_33, c73_30, c74_26, c75_44, c76_39, c77_34, c78_24, c79_40, c80_20, c81_32, c82_42, c83_9


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

(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_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(z0))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(z0))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))
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   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))))
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   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(z0))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(z0))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(z0))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(z0))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(z0)))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(0(0(0(2(0(2(2(2(0(2(0(2(1(0(2(1(0(2(1(1(1(2(0(2(2(2(1(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(2(2(1(2(1(0(0(1(2(2(1(2(0(0(0(0(2(1(2(1(2(0(1(2(1(0(2(z0)))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))) -> 2(2(1(2(1(0(2(2(2(1(0(0(0(0(2(2(0(1(2(2(1(1(2(2(2(1(1(2(0(0(z0))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(2(0(2(1(0(2(2(1(0(0(0(2(2(2(1(2(1(2(1(0(0(0(z0))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(1(1(1(1(2(0(2(1(2(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(2(0(0(1(1(1(0(2(0(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(2(0(2(0(1(1(0(1(1(1(0(0(2(1(0(0(1(2(2(0(2(0(1(2(2(1(2(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))) -> 2(0(2(2(1(1(0(2(2(0(0(2(1(0(0(1(2(0(1(1(0(0(0(2(0(2(1(2(1(0(2(1(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(z0))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> 2(2(2(2(1(1(1(2(2(z0)))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))), 0'(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))), 2'(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))), 1'(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))), 0'(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))), 1'(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))), 0'(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))), 0'(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))), 2'(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))), 1'(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))), 0'(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))), 1'(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))), 1'(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))), 0'(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))), 0'(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))), 0'(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))), 0'(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))), 2'(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))), 2'(2(2(2(2(2(0(0(1(0(1(z0))))))))))), 2'(2(2(2(2(0(0(1(0(1(z0)))))))))), 2'(2(2(2(0(0(1(0(1(z0))))))))), 2'(2(2(0(0(1(0(1(z0)))))))), 2'(2(0(0(1(0(1(z0))))))), 2'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   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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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, 2_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_49, c8_20, c9_34, c10_37, c11_44, c12_16, c13_23, c14_42, c15_50, c16_42, c17_43, c18_20, c19_13, c20_25, c21_11, c22_26, c23_28, c24_45, c25_21, c26_22, c27_26, c28_39, c29_12, c30_30, c31_47, c32_49, c33_11, c34_28, c36_37, c37_19, c38_45, c39_42, c40_45, c41_40, c42_26, c43_23, c44_46, c45_14, c46_50, c47_42, c48_32, c49_48, c50_46, c51_46, c52_50, c53_16, c54_42, c55_49, c56_46, c57_18, c58_32, c59_14, c60_45, c61_46, c62_39, c63_38, c64_36, c65_45, c66_26, c67_25, c68_22, c70_15, c71_34, c72_33, c73_30, c74_26, c75_44, c76_39, c77_34, c78_24, c79_40, c80_20, c81_32, c82_42, c83_9, 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_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(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_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(z0))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(z0))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))
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   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))))
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   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(z0))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(z0))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(z0))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(z0))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))))
   2(z0) -> c_2(z0)
   2(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_0(c_2(c_0(c_2(z0)))))))))))))) -> 2(2(0(2(1(1(0(0(0(1(2(1(0(1(1(z0)))))))))))))))
   2(c_1(c_1(c_0(c_2(c_0(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(0(0(0(2(0(2(2(2(0(2(0(2(1(0(2(1(0(2(1(1(1(2(0(2(2(2(1(1(z0))))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_2(z0))))))))))))))))))))))))))))))))) -> 2(1(2(1(1(0(2(2(1(2(1(0(0(1(2(2(1(2(0(0(0(0(2(1(2(1(2(0(1(2(1(0(2(z0)))))))))))))))))))))))))))))))))
   2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))) -> 2(2(1(2(1(0(2(2(2(1(0(0(0(0(2(2(0(1(2(2(1(1(2(2(2(1(1(2(0(0(z0))))))))))))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_1(c_2(c_0(z0))))))))))))))))))))))) -> 2(1(0(2(2(0(2(1(0(2(2(1(0(0(0(2(2(2(1(2(1(2(1(0(0(0(z0))))))))))))))))))))))))))
   2(c_0(c_0(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_2(c_1(c_2(c_1(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(1(2(0(0(1(2(1(1(1(1(2(0(2(1(2(0(0(1(1(1(2(1(1(0(0(0(0(0(0(0(2(0(0(1(1(1(0(2(0(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(0(2(2(0(2(0(1(1(0(1(1(1(0(0(2(1(0(0(1(2(2(0(2(0(1(2(2(1(2(1(0(1(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_1(c_1(c_2(c_2(c_2(c_0(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))) -> 2(0(2(2(1(1(0(2(2(0(0(2(1(0(0(1(2(0(1(1(0(0(0(2(0(2(1(2(1(0(2(1(2(0(z0))))))))))))))))))))))))))))))))))
   2(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_1(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))) -> 2(2(1(0(2(1(0(2(1(0(1(0(0(1(1(0(2(2(1(1(2(0(1(0(z0))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))))
   2(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))))
   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> 2(2(2(2(1(1(1(2(2(z0)))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))), 0'(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))), 2'(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))), 1'(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))), 0'(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))), 1'(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))), 0'(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))), 0'(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))), 2'(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))), 1'(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))), 0'(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))), 1'(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))), 1'(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))), 0'(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))), 0'(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))), 0'(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))), 0'(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))), 2'(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))), 2'(2(2(2(2(2(0(0(1(0(1(z0))))))))))), 2'(2(2(2(2(0(0(1(0(1(z0)))))))))), 2'(2(2(2(0(0(1(0(1(z0))))))))), 2'(2(2(0(0(1(0(1(z0)))))))), 2'(2(0(0(1(0(1(z0))))))), 2'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   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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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, 2_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_49, c8_20, c9_34, c10_37, c11_44, c12_16, c13_23, c14_42, c15_50, c16_42, c17_43, c18_20, c19_13, c20_25, c21_11, c22_26, c23_28, c24_45, c25_21, c26_22, c27_26, c28_39, c29_12, c30_30, c31_47, c32_49, c33_11, c34_28, c36_37, c37_19, c38_45, c39_42, c40_45, c41_40, c42_26, c43_23, c44_46, c45_14, c46_50, c47_42, c48_32, c49_48, c50_46, c51_46, c52_50, c53_16, c54_42, c55_49, c56_46, c57_18, c58_32, c59_14, c60_45, c61_46, c62_39, c63_38, c64_36, c65_45, c66_26, c67_25, c68_22, c70_15, c71_34, c72_33, c73_30, c74_26, c75_44, c76_39, c77_34, c78_24, c79_40, c80_20, c81_32, c82_42, c83_9, 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_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(z0))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(z0))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(z0))))))))))))))))))) -> 2(0(1(0(0(0(0(2(1(0(0(1(2(2(1(2(1(0(2(1(z0))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))))
   0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))) -> 2(0(0(0(2(1(2(2(0(1(1(0(1(2(1(2(1(0(2(1(0(1(0(2(1(z0)))))))))))))))))))))))))
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   0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(z0)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(z0)))))))))))
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   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))))
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   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))))
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   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> 2(2(2(2(1(1(1(2(2(z0)))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(0(2(1(1(0(1(0(1(0(2(2(1(2(1(1(0(2(0(0(2(0(0(2(1(0(2(1(0(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))
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   1(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(0(1(1(2(0(2(2(0(0(1(1(0(1(1(1(0(0(2(1(0(0(2(1(1(0(0(2(2(0(2(1(2(2(0(0(1(0(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(1(2(1(2(1(2(1(0(1(2(2(0(2(0(2(1(0(1(0(2(0(1(1(0(2(2(0(0(2(1(0(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(0(1(0(2(2(0(2(1(0(2(1(1(0(2(2(1(0(2(2(2(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_1(c_1(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(z0))))))))))))))))))))))))))))))))))) -> 1(0(1(1(1(1(0(1(1(1(1(0(0(0(1(1(0(0(2(2(0(1(2(2(0(1(2(0(2(1(0(1(1(0(0(0(0(1(2(1(z0))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(z0))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(0(0(2(2(2(0(0(1(0(0(1(2(0(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(0(2(0(1(2(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(z0)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(z0))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(1(0(1(2(0(2(1(0(0(2(0(0(1(1(2(2(1(0(0(1(1(2(0(2(2(0(1(2(1(0(0(2(2(2(1(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(z0)))))))))))))))))))))))))))) -> 2(1(0(2(1(0(2(1(0(0(0(1(0(0(0(2(1(1(2(2(0(1(0(1(0(0(2(0(1(2(0(0(z0))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(1(0(1(1(0(2(0(2(2(0(2(0(2(1(2(1(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(2(0(2(0(1(2(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(2(1(1(0(2(0(2(0(1(0(0(1(1(2(2(1(2(1(2(0(1(1(2(1(2(1(2(2(1(1(2(1(0(1(0(0(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(z0))))))))))))))))
   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_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(0(2(1(0(1(0(2(2(1(0(2(0(2(2(0(0(0(0(0(2(1(2(1(1(0(0(2(1(0(1(0(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(z0))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(z0))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(z0))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(z0))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))))
Tuples:
   ENCARG(cons_0(z0)) -> c(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))), 0'(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))), 2'(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))), 1'(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))), 0'(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))), 1'(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))), 0'(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))), 0'(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))), 2'(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))), 1'(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))), 0'(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))), 1'(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))), 1'(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))), 0'(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))), 0'(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))), 0'(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))), 0'(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))), 2'(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))), 2'(2(2(2(2(2(0(0(1(0(1(z0))))))))))), 2'(2(2(2(2(0(0(1(0(1(z0)))))))))), 2'(2(2(2(0(0(1(0(1(z0))))))))), 2'(2(2(0(0(1(0(1(z0)))))))), 2'(2(0(0(1(0(1(z0))))))), 2'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   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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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 2_1, 1_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_49, c8_20, c9_34, c10_37, c11_44, c12_16, c13_23, c14_42, c15_50, c16_42, c17_43, c18_20, c19_13, c20_25, c21_11, c22_26, c23_28, c24_45, c25_21, c26_22, c27_26, c28_39, c29_12, c30_30, c31_47, c32_49, c33_11, c34_28, c36_37, c37_19, c38_45, c39_42, c40_45, c41_40, c42_26, c43_23, c44_46, c45_14, c46_50, c47_42, c48_32, c49_48, c50_46, c51_46, c52_50, c53_16, c54_42, c55_49, c56_46, c57_18, c58_32, c59_14, c60_45, c61_46, c62_39, c63_38, c64_36, c65_45, c66_26, c67_25, c68_22, c70_15, c71_34, c72_33, c73_30, c74_26, c75_44, c76_39, c77_34, c78_24, c79_40, c80_20, c81_32, c82_42, c83_9, 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_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(z0))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(z0))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))
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   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))))
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   0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(z0)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(z0)))))))))))
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   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))))
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   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> 2(2(2(2(1(1(1(2(2(z0)))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(0(2(1(1(0(1(0(1(0(2(2(1(2(1(1(0(2(0(0(2(0(0(2(1(0(2(1(0(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))
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   1(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(0(1(1(2(0(2(2(0(0(1(1(0(1(1(1(0(0(2(1(0(0(2(1(1(0(0(2(2(0(2(1(2(2(0(0(1(0(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(1(2(1(2(1(2(1(0(1(2(2(0(2(0(2(1(0(1(0(2(0(1(1(0(2(2(0(0(2(1(0(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(0(1(0(2(2(0(2(1(0(2(1(1(0(2(2(1(0(2(2(2(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
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   1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(z0))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(0(0(2(2(2(0(0(1(0(0(1(2(0(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(0(2(0(1(2(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(z0)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(z0))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(1(0(1(2(0(2(1(0(0(2(0(0(1(1(2(2(1(0(0(1(1(2(0(2(2(0(1(2(1(0(0(2(2(2(1(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(z0)))))))))))))))))))))))))))) -> 2(1(0(2(1(0(2(1(0(0(0(1(0(0(0(2(1(1(2(2(0(1(0(1(0(0(2(0(1(2(0(0(z0))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(1(0(1(1(0(2(0(2(2(0(2(0(2(1(2(1(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(2(0(2(0(1(2(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(2(1(1(0(2(0(2(0(1(0(0(1(1(2(2(1(2(1(2(0(1(1(2(1(2(1(2(2(1(1(2(1(0(1(0(0(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(z0))))))))))))))))
   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_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(0(2(1(0(1(0(2(2(1(0(2(0(2(2(0(0(0(0(0(2(1(2(1(1(0(0(2(1(0(1(0(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(z0))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(z0))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(z0))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(z0))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))))
Tuples:
   ENCARG(cons_2(z0)) -> c1(2'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))), 0'(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))), 2'(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))), 1'(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))), 0'(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))), 1'(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))), 0'(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))), 0'(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))), 2'(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))), 1'(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))), 0'(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))), 1'(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))), 1'(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))), 0'(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))), 0'(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))), 0'(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))), 0'(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))), 2'(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))), 2'(2(2(2(2(2(0(0(1(0(1(z0))))))))))), 2'(2(2(2(2(0(0(1(0(1(z0)))))))))), 2'(2(2(2(0(0(1(0(1(z0))))))))), 2'(2(2(0(0(1(0(1(z0)))))))), 2'(2(0(0(1(0(1(z0))))))), 2'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   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_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
S tuples:
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 2_1, 1_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_49, c8_20, c9_34, c10_37, c11_44, c12_16, c13_23, c14_42, c15_50, c16_42, c17_43, c18_20, c19_13, c20_25, c21_11, c22_26, c23_28, c24_45, c25_21, c26_22, c27_26, c28_39, c29_12, c30_30, c31_47, c32_49, c33_11, c34_28, c36_37, c37_19, c38_45, c39_42, c40_45, c41_40, c42_26, c43_23, c44_46, c45_14, c46_50, c47_42, c48_32, c49_48, c50_46, c51_46, c52_50, c53_16, c54_42, c55_49, c56_46, c57_18, c58_32, c59_14, c60_45, c61_46, c62_39, c63_38, c64_36, c65_45, c66_26, c67_25, c68_22, c70_15, c71_34, c72_33, c73_30, c74_26, c75_44, c76_39, c77_34, c78_24, c79_40, c80_20, c81_32, c82_42, c83_9, c6_1, c_2


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

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

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(z0))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(z0))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))
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   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))))
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   0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(z0)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(z0)))))))))))
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   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))))
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   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> 2(2(2(2(1(1(1(2(2(z0)))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(0(2(1(1(0(1(0(1(0(2(2(1(2(1(1(0(2(0(0(2(0(0(2(1(0(2(1(0(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))
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   1(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(0(1(1(2(0(2(2(0(0(1(1(0(1(1(1(0(0(2(1(0(0(2(1(1(0(0(2(2(0(2(1(2(2(0(0(1(0(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(1(2(1(2(1(2(1(0(1(2(2(0(2(0(2(1(0(1(0(2(0(1(1(0(2(2(0(0(2(1(0(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(0(1(0(2(2(0(2(1(0(2(1(1(0(2(2(1(0(2(2(2(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
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   1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(z0))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(0(0(2(2(2(0(0(1(0(0(1(2(0(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(0(2(0(1(2(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(z0)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(z0))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(1(0(1(2(0(2(1(0(0(2(0(0(1(1(2(2(1(0(0(1(1(2(0(2(2(0(1(2(1(0(0(2(2(2(1(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(z0)))))))))))))))))))))))))))) -> 2(1(0(2(1(0(2(1(0(0(0(1(0(0(0(2(1(1(2(2(0(1(0(1(0(0(2(0(1(2(0(0(z0))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(1(0(1(1(0(2(0(2(2(0(2(0(2(1(2(1(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(2(0(2(0(1(2(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(2(1(1(0(2(0(2(0(1(0(0(1(1(2(2(1(2(1(2(0(1(1(2(1(2(1(2(2(1(1(2(1(0(1(0(0(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(z0))))))))))))))))
   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_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(0(2(1(0(1(0(2(2(1(0(2(0(2(2(0(0(0(0(0(2(1(2(1(1(0(0(2(1(0(1(0(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(z0))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(z0))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(z0))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(z0))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))))
Tuples:
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))), 0'(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))), 2'(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))), 1'(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))), 0'(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))), 1'(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))), 0'(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))), 0'(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))), 2'(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))), 1'(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))), 0'(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))), 1'(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))), 1'(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))), 0'(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))), 0'(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))), 0'(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))), 0'(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))), 2'(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))), 2'(2(2(2(2(2(0(0(1(0(1(z0))))))))))), 2'(2(2(2(2(0(0(1(0(1(z0)))))))))), 2'(2(2(2(0(0(1(0(1(z0))))))))), 2'(2(2(0(0(1(0(1(z0)))))))), 2'(2(0(0(1(0(1(z0))))))), 2'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   0'(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> c8(0'(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))))))), 0'(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))), 2'(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))))), 1'(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))), 1'(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))), 1'(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))), 2'(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))), 2'(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))), 2'(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(2(2(1(2(1(0(z0))))))))))), 1'(2(1(0(2(2(1(2(1(0(z0)))))))))), 2'(1(0(2(2(1(2(1(0(z0))))))))), 1'(0(2(2(1(2(1(0(z0)))))))), 0'(2(2(1(2(1(0(z0))))))), 2'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   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_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c1(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c1(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c1(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
S tuples:
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 2_1, 1_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_49, c8_20, c9_34, c10_37, c11_44, c12_16, c13_23, c14_42, c15_50, c16_42, c17_43, c18_20, c19_13, c20_25, c21_11, c22_26, c23_28, c24_45, c25_21, c26_22, c27_26, c28_39, c29_12, c30_30, c31_47, c32_49, c33_11, c34_28, c36_37, c37_19, c38_45, c39_42, c40_45, c41_40, c42_26, c43_23, c44_46, c45_14, c46_50, c47_42, c48_32, c49_48, c50_46, c51_46, c52_50, c53_16, c54_42, c55_49, c56_46, c57_18, c58_32, c59_14, c60_45, c61_46, c62_39, c63_38, c64_36, c65_45, c66_26, c67_25, c68_22, c70_15, c71_34, c72_33, c73_30, c74_26, c75_44, c76_39, c77_34, c78_24, c79_40, c80_20, c81_32, c82_42, c83_9, c6_1, c_2, c1_2


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

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

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_2(z0)) -> 2(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   0(z0) -> c_0(z0)
   0(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> 0(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))))
   0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_0(c_1(z0)))))))))))))))))))))))))))))))))) -> 0(1(1(1(0(1(2(1(1(1(1(1(0(0(0(0(0(2(0(2(0(1(2(2(2(1(2(1(0(2(1(0(2(1(z0))))))))))))))))))))))))))))))))))
   0(c_0(c_1(c_1(c_0(c_1(c_0(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_1(c_2(c_0(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_0(z0)))))))))))))))))))))))))))))))))))) -> 0(0(0(1(1(0(1(0(1(2(1(2(1(1(0(0(1(0(1(2(2(2(1(2(0(2(0(0(1(1(1(2(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))
   0(c_0(c_0(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 0(1(0(2(1(2(1(2(1(1(2(1(2(1(0(2(2(1(0(1(2(0(0(1(1(1(0(2(1(2(2(0(2(1(1(0(0(1(0(0(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_1(c_0(z0))))))))))))))) -> 2(0(2(0(1(2(0(0(1(2(1(1(0(0(0(1(z0))))))))))))))))
   0(c_1(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_0(c_0(c_0(c_0(c_0(c_2(c_0(c_0(z0))))))))))))))))))))))) -> 0(1(2(2(0(0(1(2(0(0(0(0(2(1(0(0(1(1(0(1(0(1(0(z0)))))))))))))))))))))))
   0(c_2(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 0(0(0(0(1(1(2(2(2(2(2(2(0(2(0(2(2(0(1(2(1(0(0(1(1(0(2(1(0(0(0(2(1(0(0(0(2(0(1(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_0(c_0(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(2(2(0(1(2(1(1(1(0(0(1(2(1(0(2(1(1(2(2(0(1(2(1(0(0(0(1(2(1(0(2(0(0(2(0(1(2(2(2(2(1(1(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_1(c_1(c_0(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_0(c_1(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> 2(1(1(1(0(0(0(1(0(0(2(1(1(0(1(0(0(1(0(0(2(0(2(2(0(2(1(1(0(2(0(2(0(1(0(2(1(1(0(1(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   0(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_1(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_0(c_2(c_0(c_2(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))) -> 2(0(0(1(2(2(1(0(0(2(1(0(2(2(0(0(2(0(1(0(1(1(2(0(1(1(2(2(0(2(1(0(0(0(0(0(0(0(2(2(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))))
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   0(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> 0(2(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))))
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   0(c_1(c_1(c_1(c_2(c_1(c_0(c_1(z0)))))))) -> 1(0(1(0(1(2(1(0(0(0(0(z0)))))))))))
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   2(c_2(c_2(c_1(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_1(c_1(c_2(c_2(c_2(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_2(c_0(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 2(2(0(1(2(2(0(0(2(1(0(1(2(1(1(0(2(1(1(1(0(1(1(1(1(0(2(1(2(1(1(0(0(0(1(0(1(0(1(0(z0))))))))))))))))))))))))))))))))))))))))
   2(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> 2(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))))
   2(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> 2(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))))
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   2(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> 2(2(2(2(1(1(1(2(2(z0)))))))))
   1(z0) -> c_1(z0)
   1(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_2(c_1(c_0(c_1(c_2(c_2(c_0(c_1(c_0(c_1(c_1(c_0(c_2(c_1(c_0(c_2(c_2(c_0(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))) -> 1(0(1(2(1(0(2(1(1(0(1(0(1(0(2(2(1(2(1(1(0(2(0(0(2(0(0(2(1(0(2(1(0(0(1(2(0(z0)))))))))))))))))))))))))))))))))))))
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   1(c_1(c_2(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_1(c_2(c_1(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_0(c_2(c_2(c_1(c_1(c_1(c_0(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(0(0(1(1(2(0(2(2(0(0(1(1(0(1(1(1(0(0(2(1(0(0(2(1(1(0(0(2(2(0(2(1(2(2(0(0(1(0(0(2(1(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_0(c_2(c_2(c_2(c_0(c_2(z0)))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(1(2(1(2(1(2(1(0(1(2(2(0(2(0(2(1(0(1(0(2(0(1(1(0(2(2(0(0(2(1(0(2(1(2(0(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_2(c_0(c_0(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_1(c_0(c_2(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 2(1(0(2(1(0(0(1(0(2(2(0(2(1(0(2(1(1(0(2(2(1(0(2(2(2(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(1(2(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
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   1(c_1(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_2(c_1(z0))))))))))))))))))))))))) -> 2(2(0(1(1(2(1(1(0(2(1(0(1(0(0(1(1(1(0(0(1(0(1(0(1(1(z0))))))))))))))))))))))))))
   1(c_0(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_1(z0)))))))))))))))))))) -> 1(0(2(2(0(1(0(0(2(1(1(1(1(2(1(1(0(1(0(0(1(0(1(z0)))))))))))))))))))))))
   1(c_1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))))))))))))))))))) -> 1(0(2(0(0(2(2(2(0(0(1(0(0(1(2(0(1(0(1(1(1(1(1(1(0(0(0(1(0(0(2(0(2(0(1(2(0(0(2(1(0(2(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_2(c_2(c_1(c_2(c_0(c_2(c_1(c_2(z0)))))))))))) -> 0(2(1(0(0(2(0(2(1(0(0(1(1(0(z0))))))))))))))
   1(c_1(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_0(c_2(c_1(c_2(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(2(0(0(2(2(0(0(1(2(0(2(2(2(0(0(0(0(0(2(1(2(2(0(2(0(2(1(0(1(0(2(1(0(1(1(2(0(2(0(1(0(0(2(0(1(2(2(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_2(z0)))))))))))))))))))))))))))))))))))))) -> 2(0(2(1(1(0(1(2(0(2(1(0(0(2(0(0(1(1(2(2(1(0(0(1(1(2(0(2(2(0(1(2(1(0(0(2(2(2(1(1(0(2(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_0(c_2(c_0(c_2(c_1(c_0(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_1(c_1(c_2(c_2(c_2(z0)))))))))))))))))))))))))))) -> 2(1(0(2(1(0(2(1(0(0(0(1(0(0(0(2(1(1(2(2(0(1(0(1(0(0(2(0(1(2(0(0(z0))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_2(c_1(c_1(c_1(c_0(c_2(c_2(c_0(c_2(c_2(c_2(c_1(c_0(c_0(c_2(c_0(c_1(c_1(c_2(c_0(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_1(c_2(c_2(c_0(c_0(c_2(c_1(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))))))))) -> 1(2(1(0(2(0(1(1(1(0(2(1(0(0(2(2(1(0(2(2(0(1(1(2(0(1(2(1(2(1(0(1(1(1(2(2(0(0(2(1(0(2(1(2(1(2(2(0(z0))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_0(c_1(c_2(c_1(c_2(c_1(c_0(c_0(c_2(c_0(c_0(c_2(c_1(c_1(c_0(c_1(c_2(c_1(c_0(c_2(c_1(z0))))))))))))))))))))))))))))))))))))))))))) -> 2(2(1(1(2(1(0(1(1(0(2(0(2(2(0(2(0(2(1(2(1(1(1(0(0(2(1(0(0(0(1(0(1(0(0(0(2(0(2(0(1(2(1(1(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_0(c_1(c_2(c_2(c_2(c_2(c_0(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_2(c_0(c_1(c_2(c_1(c_1(c_2(c_0(c_0(c_1(c_1(c_1(c_1(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_1(c_2(c_0(c_2(c_0(z0)))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(0(0(1(2(1(1(0(2(0(2(0(1(0(0(1(1(2(2(1(2(1(2(0(1(1(2(1(2(1(2(2(1(1(2(1(0(1(0(0(1(1(0(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_0(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_2(c_1(c_2(c_2(c_2(c_0(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_0(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_1(c_0(z0))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(1(2(0(1(2(1(1(2(2(0(2(1(2(1(2(1(2(2(1(1(1(1(1(2(1(1(2(1(2(1(1(1(0(1(2(1(0(1(1(0(2(2(0(0(z0))))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_0(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(z0)))))))))))))))) -> 2(1(2(1(1(1(2(1(2(1(2(1(0(1(0(1(z0))))))))))))))))
   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_2(c_2(c_0(c_2(c_2(c_2(c_0(c_1(c_2(c_0(c_0(c_1(c_1(c_2(c_0(c_0(c_1(c_2(c_1(c_2(c_2(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(0(2(1(0(1(0(2(2(1(0(2(0(2(2(0(0(0(0(0(2(1(2(1(1(0(0(2(1(0(1(0(1(1(0(0(1(1(0(0(0(z0))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_0(c_0(c_0(c_1(c_1(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_2(c_1(c_1(c_0(c_0(c_0(c_2(c_0(c_2(c_2(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_0(c_2(z0))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(2(0(0(1(1(1(1(1(1(2(0(2(1(2(1(1(1(0(0(1(1(2(2(2(1(2(2(1(0(2(1(1(0(1(2(1(0(2(1(0(0(0(2(1(1(z0)))))))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_2(c_0(c_1(c_1(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_0(c_1(c_2(c_0(c_1(c_1(c_1(c_0(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(1(2(2(2(0(2(1(1(0(0(1(2(0(1(2(1(0(0(1(1(2(1(0(0(1(1(2(0(0(2(0(0(2(1(1(0(2(0(1(2(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_2(c_2(c_0(c_2(c_2(c_0(c_0(c_2(c_1(c_2(c_2(c_2(c_1(c_0(c_2(c_2(z0)))))))))))))))))) -> 2(1(0(1(0(2(0(2(2(2(2(1(2(2(0(1(2(2(z0))))))))))))))))))
   1(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_2(c_2(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_1(c_0(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_0(z0))))))))))))))))))))))))))))) -> 0(1(1(0(1(1(1(1(1(1(1(2(1(0(0(1(2(1(1(0(0(1(0(1(0(0(2(0(1(0(1(0(z0))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_1(c_0(c_1(c_0(c_2(c_0(c_2(c_2(z0))))))))))) -> 0(1(1(2(1(0(1(0(0(2(1(0(0(2(z0))))))))))))))
   1(c_2(c_0(c_0(c_1(c_2(c_1(c_1(c_2(c_1(c_0(c_2(c_1(c_1(c_2(c_2(c_1(c_0(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_1(c_2(c_0(c_1(c_2(z0))))))))))))))))))))))))))))))))))))) -> 0(2(1(2(0(2(2(1(1(0(2(2(2(2(0(2(1(0(2(0(1(2(2(0(2(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(0(0(0(0(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_2(c_0(c_0(c_0(c_2(c_0(c_1(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_1(c_1(c_1(c_1(c_0(c_1(c_0(c_2(c_2(c_1(c_0(c_0(c_2(c_2(c_0(c_2(c_1(c_2(c_1(c_1(c_1(z0)))))))))))))))))))))))))))))))))))))) -> 1(0(0(2(0(1(0(2(0(2(1(2(1(0(1(1(0(1(0(0(0(1(0(1(0(0(2(2(2(1(1(0(1(0(0(2(0(0(2(1(1(0(1(0(1(1(z0))))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_2(c_1(c_2(c_2(c_0(c_2(c_2(c_1(c_0(c_2(c_0(c_0(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_1(z0))))))))))))))))))))))))))))))))))))) -> 2(2(0(0(2(1(2(1(0(0(1(0(1(2(2(0(2(1(0(0(0(0(1(0(0(0(0(1(2(0(1(2(0(2(0(1(1(0(0(z0)))))))))))))))))))))))))))))))))))))))
   1(c_2(c_2(c_2(c_2(c_2(c_2(c_1(c_2(c_2(c_2(c_2(c_2(c_0(c_2(c_2(c_2(c_0(c_0(c_1(c_0(c_2(c_2(c_2(c_1(c_1(c_0(c_0(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_2(c_0(z0))))))))))))))))))))))))))))))))))))) -> 1(2(1(2(0(2(1(0(2(2(1(1(1(0(0(1(1(2(2(0(1(1(0(0(1(1(2(1(1(0(2(1(2(2(0(2(0(0(z0))))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_2(c_0(c_0(c_0(c_0(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_1(c_1(c_1(c_0(c_1(c_1(c_2(c_1(c_0(c_2(c_2(c_2(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))))))))))))))))) -> 1(1(2(2(1(0(2(0(1(0(1(0(2(0(0(2(1(1(1(2(0(1(0(0(1(2(2(1(0(0(0(0(2(1(0(0(z0))))))))))))))))))))))))))))))))))))
   1(c_0(c_1(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_0(c_0(c_2(c_0(c_2(c_0(c_0(c_2(c_0(c_1(c_0(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_0(c_1(c_2(c_2(c_0(c_0(c_1(c_1(c_1(c_2(c_2(c_1(c_2(z0))))))))))))))))))))))))))))))))))))))))) -> 0(0(2(0(0(0(0(1(1(0(0(0(2(0(0(2(1(0(0(2(0(2(0(0(1(1(2(2(1(2(1(0(1(0(2(1(1(0(0(2(0(2(1(1(0(z0)))))))))))))))))))))))))))))))))))))))))))))
   1(c_1(c_1(c_2(c_0(c_2(c_0(c_0(c_1(c_0(c_0(c_0(c_2(c_1(c_2(c_0(c_1(c_0(c_2(c_0(c_0(c_0(z0)))))))))))))))))))))) -> 0(2(2(1(2(2(1(0(2(1(2(1(0(0(0(2(1(0(2(1(0(2(1(2(2(0(z0))))))))))))))))))))))))))
   1(c_1(c_0(c_1(c_2(c_2(c_0(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_2(c_0(c_1(c_0(c_1(z0)))))))))))))))))))))))) -> 1(0(2(0(2(1(0(0(0(0(0(1(1(1(1(2(0(2(1(2(1(1(0(0(0(z0)))))))))))))))))))))))))
   1(c_2(c_1(c_2(c_0(c_1(c_1(c_2(c_1(c_2(c_2(c_1(c_2(c_0(c_1(c_1(c_0(c_2(c_0(c_0(c_1(z0))))))))))))))))))))) -> 1(2(0(0(2(2(1(1(2(1(0(2(1(0(1(0(1(1(2(2(0(1(z0))))))))))))))))))))))
Tuples:
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   0'(c_0(c_2(c_2(c_1(c_1(c_0(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_2(c_1(c_2(c_1(z0))))))))))))))))))) -> c8(0'(0(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))))))), 0'(2(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))))), 2'(1(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))))), 1'(1(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))))), 1'(1(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))))), 1'(2(2(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))))), 2'(2(2(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))))), 2'(2(0(1(2(1(0(2(2(1(2(1(0(z0))))))))))))), 2'(0(1(2(1(0(2(2(1(2(1(0(z0)))))))))))), 0'(1(2(1(0(2(2(1(2(1(0(z0))))))))))), 1'(2(1(0(2(2(1(2(1(0(z0)))))))))), 2'(1(0(2(2(1(2(1(0(z0))))))))), 1'(0(2(2(1(2(1(0(z0)))))))), 0'(2(2(1(2(1(0(z0))))))), 2'(2(1(2(1(0(z0)))))), 2'(1(2(1(0(z0))))), 1'(2(1(0(z0)))), 2'(1(0(z0))), 1'(0(z0)), 0'(z0))
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
   2'(c_0(c_1(c_0(c_1(c_1(c_1(c_1(c_2(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_1(c_1(c_2(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_1(z0))))))))))))))))))))))))))) -> c81(2'(1(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))))), 1'(0(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))))), 0'(0(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))))), 0'(2(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))))), 2'(0(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))))), 0'(0(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))))), 0'(2(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))))), 2'(0(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))))), 0'(1(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))))), 1'(0(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))))), 0'(1(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))))), 1'(1(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))))), 1'(2(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))))), 2'(1(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))))), 1'(1(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))))), 1'(1(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))))), 1'(0(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))))), 0'(0(0(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))))), 0'(0(0(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))))), 0'(0(1(0(0(2(1(1(2(1(0(1(1(z0))))))))))))), 0'(1(0(0(2(1(1(2(1(0(1(1(z0)))))))))))), 1'(0(0(2(1(1(2(1(0(1(1(z0))))))))))), 0'(0(2(1(1(2(1(0(1(1(z0)))))))))), 0'(2(1(1(2(1(0(1(1(z0))))))))), 2'(1(1(2(1(0(1(1(z0)))))))), 1'(1(2(1(0(1(1(z0))))))), 1'(2(1(0(1(1(z0)))))), 2'(1(0(1(1(z0))))), 1'(0(1(1(z0)))), 0'(1(1(z0))), 1'(1(z0)), 1'(z0))
   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
   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_2(z0))) -> c(0'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_2(cons_0(z0))) -> c1(2'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_2(cons_2(z0))) -> c1(2'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_2(cons_1(z0))) -> c1(2'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(cons_2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
S tuples:
   0'(c_2(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_2(c_1(c_0(c_0(c_2(c_1(c_0(c_1(c_2(c_1(c_0(c_1(c_0(c_2(c_1(c_1(c_0(c_0(c_1(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_1(c_2(c_0(c_1(z0)))))))))))))))))))))))))))))))))))))))))))) -> c7(0'(1(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))))), 1'(2(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))))), 2'(0(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))))), 0'(1(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))))), 1'(1(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))))), 1'(0(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))))), 0'(2(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))))), 2'(0(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))))), 0'(1(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))))), 1'(0(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))))), 0'(0(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))))), 0'(1(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))))), 1'(0(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))))), 0'(1(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))))), 1'(2(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))))), 2'(1(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))))), 1'(0(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))))), 0'(1(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))))), 1'(0(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))))), 0'(1(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))))), 1'(0(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))))), 0'(0(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))))), 0'(1(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))))), 1'(0(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))))), 0'(2(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))))), 2'(1(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))))), 1'(0(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))))), 0'(1(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))))), 1'(2(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))))), 2'(1(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))))), 1'(0(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))))), 0'(0(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))))), 0'(0(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))))), 0'(0(0(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))))), 0'(0(2(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))))), 0'(2(2(2(2(2(2(2(0(0(1(0(1(z0))))))))))))), 2'(2(2(2(2(2(2(0(0(1(0(1(z0)))))))))))), 2'(2(2(2(2(2(0(0(1(0(1(z0))))))))))), 2'(2(2(2(2(0(0(1(0(1(z0)))))))))), 2'(2(2(2(0(0(1(0(1(z0))))))))), 2'(2(2(0(0(1(0(1(z0)))))))), 2'(2(0(0(1(0(1(z0))))))), 2'(0(0(1(0(1(z0)))))), 0'(0(1(0(1(z0))))), 0'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
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   0'(c_1(c_1(c_2(c_0(c_2(c_0(c_2(c_2(c_2(c_2(c_1(z0)))))))))))) -> c19(0'(2(0(0(0(0(0(0(1(2(1(0(0(z0))))))))))))), 2'(0(0(0(0(0(0(1(2(1(0(0(z0)))))))))))), 0'(0(0(0(0(0(1(2(1(0(0(z0))))))))))), 0'(0(0(0(0(1(2(1(0(0(z0)))))))))), 0'(0(0(0(1(2(1(0(0(z0))))))))), 0'(0(0(1(2(1(0(0(z0)))))))), 0'(0(1(2(1(0(0(z0))))))), 0'(1(2(1(0(0(z0)))))), 1'(2(1(0(0(z0))))), 2'(1(0(0(z0)))), 1'(0(0(z0))), 0'(0(z0)), 0'(z0))
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   2'(c_1(c_1(c_2(c_1(c_1(c_2(c_2(c_1(c_1(c_1(c_0(c_1(c_2(c_1(c_1(c_2(c_0(z0)))))))))))))))))) -> c80(2'(0(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))))), 0'(0(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))))), 0'(0(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))))), 0'(1(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))))), 1'(1(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))))), 1'(2(2(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))))), 2'(2(2(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))))), 2'(2(0(2(1(0(0(0(1(2(2(0(0(z0))))))))))))), 2'(0(2(1(0(0(0(1(2(2(0(0(z0)))))))))))), 0'(2(1(0(0(0(1(2(2(0(0(z0))))))))))), 2'(1(0(0(0(1(2(2(0(0(z0)))))))))), 1'(0(0(0(1(2(2(0(0(z0))))))))), 0'(0(0(1(2(2(0(0(z0)))))))), 0'(0(1(2(2(0(0(z0))))))), 0'(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))
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   2'(c_0(c_0(c_0(c_1(c_2(c_2(c_1(c_0(c_1(c_0(c_2(c_0(c_0(c_0(c_2(c_0(c_2(c_0(c_2(c_2(c_0(c_2(c_1(c_0(c_1(c_1(c_1(c_1(c_1(c_2(c_0(c_0(c_2(c_2(c_0(c_1(c_0(c_2(c_2(c_0(z0))))))))))))))))))))))))))))))))))))))))) -> c82(2'(1(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))))), 1'(1(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))))), 1'(1(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))))), 1'(2(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))))), 2'(0(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))))), 0'(2(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))))), 2'(2(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))))), 2'(2(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))))), 2'(2(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))))), 2'(1(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))))), 1'(0(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))))), 0'(2(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))))), 2'(2(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))))), 2'(1(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))))), 1'(0(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))))), 0'(0(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))))), 0'(0(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))))), 0'(2(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))))), 2'(1(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))))), 1'(0(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))))), 0'(2(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))))), 2'(0(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))))), 0'(2(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))))), 2'(1(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))))), 1'(1(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))))), 1'(1(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))))), 1'(1(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))))), 1'(0(2(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))))), 0'(2(2(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))))), 2'(2(1(1(2(1(0(1(0(0(0(2(0(z0))))))))))))), 2'(1(1(2(1(0(1(0(0(0(2(0(z0)))))))))))), 1'(1(2(1(0(1(0(0(0(2(0(z0))))))))))), 1'(2(1(0(1(0(0(0(2(0(z0)))))))))), 2'(1(0(1(0(0(0(2(0(z0))))))))), 1'(0(1(0(0(0(2(0(z0)))))))), 0'(1(0(0(0(2(0(z0))))))), 1'(0(0(0(2(0(z0)))))), 0'(0(0(2(0(z0))))), 0'(0(2(0(z0)))), 0'(2(0(z0))), 2'(0(z0)), 0'(z0))
   2'(c_2(c_2(c_1(c_1(c_2(c_1(c_2(c_2(z0))))))))) -> c83(2'(2(2(2(1(1(1(2(2(z0))))))))), 2'(2(2(1(1(1(2(2(z0)))))))), 2'(2(1(1(1(2(2(z0))))))), 2'(1(1(1(2(2(z0)))))), 1'(1(1(2(2(z0))))), 1'(1(2(2(z0)))), 1'(2(2(z0))), 2'(2(z0)), 2'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 0_1, 2_1, 1_1

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

Compound Symbols:   c7_49, c8_20, c9_34, c10_37, c11_44, c12_16, c13_23, c14_42, c15_50, c16_42, c17_43, c18_20, c19_13, c20_25, c21_11, c22_26, c23_28, c24_45, c25_21, c26_22, c27_26, c28_39, c29_12, c30_30, c31_47, c32_49, c33_11, c34_28, c36_37, c37_19, c38_45, c39_42, c40_45, c41_40, c42_26, c43_23, c44_46, c45_14, c46_50, c47_42, c48_32, c49_48, c50_46, c51_46, c52_50, c53_16, c54_42, c55_49, c56_46, c57_18, c58_32, c59_14, c60_45, c61_46, c62_39, c63_38, c64_36, c65_45, c66_26, c67_25, c68_22, c70_15, c71_34, c72_33, c73_30, c74_26, c75_44, c76_39, c77_34, c78_24, c79_40, c80_20, c81_32, c82_42, c83_9, c6_1, c_2, c1_2, c2_2