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Derivational Complexity: TRS pair #487102602
details
property
value
status
complete
benchmark
135782.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
294.179 seconds
cpu usage
849.877
user time
842.351
system time
7.52688
max virtual memory
1.8812324E7
max residence set size
1.519486E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 41 ms] (4) CpxRelTRS (5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (6) CpxRelTRS (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) typed CpxTrs (9) OrderProof [LOWER BOUND(ID), 0 ms] (10) typed CpxTrs (11) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (12) TRS for Loop Detection (13) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (14) CpxTRS (15) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms] (16) CpxRelTRS (17) RcToIrcProof [BOTH BOUNDS(ID, ID), 987 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 30 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 9 ms] (26) CpxTypedWeightedCompleteTrs (27) NarrowingProof [BOTH BOUNDS(ID, ID), 1909 ms] (28) CpxTypedWeightedCompleteTrs (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 113 ms] (30) CpxRNTS (31) SimplificationProof [BOTH BOUNDS(ID, ID), 104 ms] (32) CpxRNTS (33) CompletionProof [UPPER BOUND(ID), 0 ms] (34) CpxTypedWeightedCompleteTrs (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 14 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 866 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, 0 ms] (44) CdtProblem (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 7069 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2111 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2164 ms] (50) CdtProblem (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2083 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2131 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(1(1(3(3(4(4(1(4(5(x1)))))))))))) -> 0(2(0(1(0(2(0(2(3(3(3(3(2(2(5(1(1(x1))))))))))))))))) 0(0(0(3(4(3(1(2(5(4(4(1(x1)))))))))))) -> 2(1(4(2(2(5(2(2(0(5(3(2(1(5(2(5(1(x1))))))))))))))))) 0(0(0(4(3(5(4(1(2(5(1(0(x1)))))))))))) -> 1(2(2(2(2(1(5(0(4(4(5(2(1(4(2(0(1(x1))))))))))))))))) 0(0(1(5(1(1(2(1(0(4(1(3(x1)))))))))))) -> 0(2(5(5(2(4(3(3(2(0(5(2(3(3(2(2(2(3(x1)))))))))))))))))) 0(0(4(1(3(5(1(2(4(1(1(5(x1)))))))))))) -> 1(5(5(3(1(1(2(1(1(2(2(2(0(3(1(5(4(x1))))))))))))))))) 0(0(5(5(1(3(4(3(1(0(4(3(x1)))))))))))) -> 0(1(1(2(3(2(2(3(2(5(0(2(0(3(3(0(x1)))))))))))))))) 0(1(0(4(3(0(0(4(4(1(0(1(x1)))))))))))) -> 0(2(3(1(1(0(1(0(1(1(4(3(1(2(2(1(1(x1))))))))))))))))) 0(1(3(0(4(1(2(0(2(5(2(4(x1)))))))))))) -> 3(2(2(5(5(3(2(2(2(1(0(2(2(5(2(2(2(5(x1)))))))))))))))))) 0(3(0(0(2(3(4(4(0(5(4(5(x1)))))))))))) -> 0(0(2(2(0(2(2(2(4(0(2(5(2(5(2(5(x1)))))))))))))))) 0(3(0(5(2(0(5(1(3(5(5(5(x1)))))))))))) -> 2(0(0(4(2(3(1(1(5(1(4(5(1(4(x1)))))))))))))) 0(3(1(5(1(3(1(4(4(4(1(0(x1)))))))))))) -> 5(5(5(0(1(4(0(4(4(2(5(2(2(5(5(x1))))))))))))))) 0(3(4(2(4(2(5(1(3(0(0(1(x1)))))))))))) -> 2(1(3(2(0(1(5(3(4(3(5(3(1(0(x1)))))))))))))) 0(4(1(2(2(5(0(0(4(1(5(5(x1)))))))))))) -> 2(4(2(4(3(2(5(2(0(2(1(3(3(1(2(x1))))))))))))))) 0(4(4(5(0(0(2(3(2(4(5(0(x1)))))))))))) -> 0(4(3(2(2(1(2(5(5(2(2(5(1(4(2(2(x1)))))))))))))))) 0(4(5(0(4(4(4(1(5(2(5(5(x1)))))))))))) -> 2(2(2(0(4(0(1(5(2(2(2(2(0(3(2(1(0(1(x1)))))))))))))))))) 0(5(2(5(1(3(4(0(0(1(3(1(x1)))))))))))) -> 2(1(1(1(1(1(2(1(2(2(2(2(4(5(1(x1))))))))))))))) 0(5(4(1(4(3(0(5(4(0(5(5(x1)))))))))))) -> 5(0(3(1(0(1(5(5(4(3(3(2(3(1(0(4(x1)))))))))))))))) 0(5(4(4(1(5(4(0(5(4(4(1(x1)))))))))))) -> 5(2(0(1(3(0(1(4(2(3(2(1(3(2(1(1(x1)))))))))))))))) 0(5(5(4(3(0(5(1(1(4(0(1(x1)))))))))))) -> 2(2(1(2(5(3(4(2(2(2(1(2(2(1(3(1(1(x1))))))))))))))))) 1(0(3(1(0(0(5(3(2(4(0(4(x1)))))))))))) -> 2(1(3(3(2(2(2(1(1(5(2(5(0(2(1(2(x1)))))))))))))))) 1(0(4(0(1(3(0(4(5(3(5(4(x1)))))))))))) -> 5(2(2(2(3(2(4(2(2(4(0(1(0(1(2(0(5(x1))))))))))))))))) 1(0(4(1(0(5(5(3(3(0(1(0(x1)))))))))))) -> 2(2(1(0(2(2(2(2(0(2(1(0(4(0(2(1(2(0(x1)))))))))))))))))) 1(0(4(1(3(0(5(5(3(4(0(3(x1)))))))))))) -> 2(0(1(2(4(1(0(2(5(0(0(2(1(0(x1)))))))))))))) 1(1(1(3(5(0(3(5(0(0(5(1(x1)))))))))))) -> 4(0(1(1(5(1(2(2(2(3(5(3(3(2(x1)))))))))))))) 1(1(5(1(3(0(4(4(0(2(4(2(x1)))))))))))) -> 2(1(1(5(2(3(2(2(2(1(1(1(2(2(2(0(5(1(x1)))))))))))))))))) 1(2(0(5(0(1(4(5(1(4(4(1(x1)))))))))))) -> 1(4(5(1(0(2(2(2(2(2(3(2(2(3(3(2(x1)))))))))))))))) 1(3(3(4(1(3(0(4(1(5(5(0(x1)))))))))))) -> 1(2(5(3(1(2(4(2(4(5(5(3(5(2(2(0(x1))))))))))))))))
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