Derivational Complexity: TRS Innermost pair #487107102

details
property	value
status	complete
benchmark	263745.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	ICFP_2010
run statistics
property	value
solver	AProVE
configuration	rcdcRelativeAlsoLower
runtime (wallclock)	297.133 seconds
cpu usage	973.531
user time	970.437
system time	3.09478
max virtual memory	1.8891072E7
max residence set size	5780740.0
stage attributes
key	value
starexec-result	KILLED
output
KILLED
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The Derivational Complexity (innermost) 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), 45 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
(13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(14) CpxTRS
(15) NonCtorToCtorProof [UPPER BOUND(ID), 19 ms]
(16) CpxRelTRS
    (17) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (18) CpxWeightedTrs
    (19) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 48 ms]
    (20) CpxWeightedTrs
    (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxTypedWeightedTrs
    (23) CompletionProof [UPPER BOUND(ID), 3 ms]
    (24) CpxTypedWeightedCompleteTrs
        (25) NarrowingProof [BOTH BOUNDS(ID, ID), 462 ms]
        (26) CpxTypedWeightedCompleteTrs
        (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 150 ms]
        (28) CpxRNTS
        (29) SimplificationProof [BOTH BOUNDS(ID, ID), 94 ms]
        (30) CpxRNTS
    (31) CompletionProof [UPPER BOUND(ID), 0 ms]
    (32) CpxTypedWeightedCompleteTrs
        (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 6 ms]
        (34) CpxRNTS
(35) CpxTrsToCdtProof [UPPER BOUND(ID), 41.9 s]
(36) CdtProblem
    (37) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 10.4 s]
    (38) CdtProblem
    (39) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 7 ms]
    (40) CdtProblem
    (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (42) CdtProblem
    (43) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 170.1 s]
    (44) CdtProblem


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

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


The TRS R consists of the following rules:

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

S is empty.
Rewrite Strategy: INNERMOST
----------------------------------------
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions all output return to Derivational Complexity: TRS Innermost