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Derivational Complexity: TRS pair #487103034
details
property
value
status
complete
benchmark
152694.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.134 seconds
cpu usage
1058.76
user time
1051.32
system time
7.43798
max virtual memory
1.8818076E7
max residence set size
1.4964352E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 36 ms] (4) CpxRelTRS (5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (6) TRS for Loop Detection (7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (10) typed CpxTrs (11) OrderProof [LOWER BOUND(ID), 0 ms] (12) typed CpxTrs (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 2187 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 11 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 3206 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 43 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 48 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 17 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 3 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1775 ms] (38) CdtProblem (39) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 4 ms] (40) CdtProblem (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 9 ms] (42) CdtProblem (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 15.1 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4457 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4512 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4443 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4467 ms] (54) CdtProblem ---------------------------------------- (0) Obligation: The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: 0(0(0(0(1(0(2(3(1(3(0(2(0(1(0(2(1(2(3(3(x1)))))))))))))))))))) -> 0(0(0(2(2(1(3(3(3(0(3(3(1(3(1(1(1(1(3(3(x1)))))))))))))))))))) 0(0(0(1(1(0(3(3(3(3(0(1(0(2(2(1(3(2(0(0(x1)))))))))))))))))))) -> 0(0(1(3(3(0(1(3(3(0(1(2(3(2(2(0(3(2(3(3(x1)))))))))))))))))))) 0(0(0(3(1(3(2(1(3(3(3(2(2(3(1(3(0(3(2(3(x1)))))))))))))))))))) -> 0(3(3(2(0(1(2(3(0(0(2(2(1(3(3(3(2(3(3(3(x1)))))))))))))))))))) 0(0(1(1(0(1(0(2(3(1(3(3(3(1(2(2(0(0(2(3(x1)))))))))))))))))))) -> 0(0(3(0(2(1(3(3(1(3(2(3(3(3(2(0(0(1(0(2(x1)))))))))))))))))))) 0(0(1(2(2(1(3(3(2(2(1(2(0(2(3(0(0(1(3(3(x1)))))))))))))))))))) -> 3(0(1(2(1(2(0(2(2(1(3(2(2(3(3(3(3(3(3(3(x1)))))))))))))))))))) 0(0(1(2(3(0(1(0(3(0(3(1(1(1(0(1(3(3(2(3(x1)))))))))))))))))))) -> 3(0(3(1(1(0(2(3(0(3(3(1(3(1(0(3(0(1(2(3(x1)))))))))))))))))))) 0(0(2(0(2(3(0(0(1(1(3(1(3(0(0(3(0(3(0(1(x1)))))))))))))))))))) -> 1(3(0(1(3(0(3(0(3(0(1(0(2(3(0(2(0(0(0(2(x1)))))))))))))))))))) 0(0(3(0(1(3(1(2(1(1(3(0(0(1(3(0(1(2(1(3(x1)))))))))))))))))))) -> 2(3(1(2(3(2(3(3(0(2(3(3(0(0(0(2(1(2(3(3(x1)))))))))))))))))))) 0(0(3(1(0(2(0(3(1(0(0(3(0(0(0(3(2(0(2(3(x1)))))))))))))))))))) -> 0(0(1(0(2(1(3(0(1(0(0(3(1(0(3(3(2(2(3(3(x1)))))))))))))))))))) 0(0(3(2(0(3(3(2(0(2(1(3(3(3(2(2(3(1(2(3(x1)))))))))))))))))))) -> 3(1(3(0(1(0(0(0(1(1(3(0(2(2(1(2(3(1(0(3(x1)))))))))))))))))))) 0(0(3(2(1(2(0(2(3(2(1(0(1(0(3(3(0(0(3(1(x1)))))))))))))))))))) -> 3(2(3(3(0(3(1(1(0(1(1(1(1(1(3(0(3(3(0(1(x1)))))))))))))))))))) 0(1(0(1(1(3(3(0(0(1(3(1(3(0(2(3(0(3(2(3(x1)))))))))))))))))))) -> 1(2(3(3(0(1(3(3(0(1(0(3(3(3(0(2(0(2(1(3(x1)))))))))))))))))))) 0(1(1(1(0(0(0(0(0(0(3(0(1(0(1(0(2(0(3(1(x1)))))))))))))))))))) -> 1(0(2(1(3(0(1(0(2(3(0(0(3(3(0(1(0(0(1(0(x1)))))))))))))))))))) 0(1(3(1(0(1(3(3(1(3(1(2(2(0(0(1(3(3(0(0(x1)))))))))))))))))))) -> 1(1(1(3(1(3(0(2(3(2(3(0(2(3(3(2(3(3(0(3(x1)))))))))))))))))))) 0(1(3(1(0(2(0(2(2(2(1(2(0(1(3(3(0(3(0(3(x1)))))))))))))))))))) -> 3(2(1(0(3(2(3(0(0(0(1(3(0(0(3(3(3(1(3(2(x1)))))))))))))))))))) 0(1(3(1(2(1(3(1(3(3(1(2(2(1(0(3(2(1(1(1(x1)))))))))))))))))))) -> 0(0(2(0(0(3(3(1(1(1(1(3(0(1(1(0(0(2(1(2(x1)))))))))))))))))))) 0(1(3(3(0(0(2(2(3(2(0(0(0(1(2(0(3(2(1(3(x1)))))))))))))))))))) -> 0(0(3(0(0(0(2(1(0(0(1(2(0(0(3(3(3(3(1(0(x1)))))))))))))))))))) 0(2(0(3(1(1(3(2(3(3(0(2(2(0(2(3(0(0(2(3(x1)))))))))))))))))))) -> 0(0(3(3(2(3(3(3(0(1(1(1(2(2(3(1(3(1(1(3(x1)))))))))))))))))))) 0(2(1(3(0(0(0(3(2(0(1(1(0(0(0(2(2(3(1(3(x1)))))))))))))))))))) -> 3(3(0(3(0(3(3(0(1(1(0(1(0(2(0(2(3(1(2(3(x1)))))))))))))))))))) 0(2(1(3(2(0(2(1(0(1(0(3(0(1(1(1(3(3(3(0(x1)))))))))))))))))))) -> 3(0(2(1(3(3(3(3(1(3(2(2(1(0(0(0(3(0(1(1(x1)))))))))))))))))))) 0(2(2(1(1(2(0(1(1(0(0(1(1(2(0(1(0(3(3(3(x1)))))))))))))))))))) -> 3(1(0(1(3(1(0(3(0(3(1(3(2(1(0(1(1(3(1(3(x1)))))))))))))))))))) 0(2(2(2(1(2(2(1(1(1(1(2(3(2(0(3(3(3(3(0(x1)))))))))))))))))))) -> 3(1(2(3(3(3(1(0(3(3(2(0(2(2(3(1(1(1(3(1(x1)))))))))))))))))))) 0(2(2(2(1(3(2(1(2(1(3(0(2(3(2(1(0(0(1(3(x1)))))))))))))))))))) -> 0(1(0(2(0(0(0(0(0(3(0(0(0(2(3(2(2(3(3(0(x1)))))))))))))))))))) 0(2(2(3(3(0(0(3(3(1(3(0(3(2(2(1(1(2(3(3(x1)))))))))))))))))))) -> 1(3(3(3(0(1(0(0(3(0(1(3(3(3(3(0(2(3(2(3(x1)))))))))))))))))))) 0(3(0(2(0(1(3(0(1(2(3(2(1(1(0(0(3(3(2(3(x1)))))))))))))))))))) -> 0(3(3(2(2(3(2(3(2(0(0(2(3(3(3(3(3(0(1(0(x1)))))))))))))))))))) 0(3(1(0(0(3(1(2(2(1(0(0(0(3(0(1(2(0(3(3(x1)))))))))))))))))))) -> 0(2(3(2(3(3(1(0(0(0(3(1(1(0(2(0(0(0(3(3(x1)))))))))))))))))))) 0(3(2(2(2(3(2(2(3(1(3(0(3(2(3(0(3(3(1(3(x1)))))))))))))))))))) -> 3(0(3(3(3(3(3(2(3(3(3(1(0(0(3(2(0(2(2(1(x1))))))))))))))))))))
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