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Derivational Complexity: TRS pair #487103630
details
property
value
status
complete
benchmark
136693.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
rcdcRelativeAlsoLower
runtime (wallclock)
297.28 seconds
cpu usage
693.138
user time
685.62
system time
7.51761
max virtual memory
1.8753628E7
max residence set size
1.4837604E7
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Derivational Complexity (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).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), 55 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), 13 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), 2346 ms] (18) CpxRelTRS (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (20) CpxWeightedTrs (21) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 42 ms] (22) CpxWeightedTrs (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (24) CpxTypedWeightedTrs (25) CompletionProof [UPPER BOUND(ID), 0 ms] (26) CpxTypedWeightedCompleteTrs (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 31 ms] (28) CpxRNTS (29) CompletionProof [UPPER BOUND(ID), 8 ms] (30) CpxTypedWeightedCompleteTrs (31) NarrowingProof [BOTH BOUNDS(ID, ID), 2539 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 306 ms] (34) CpxRNTS (35) SimplificationProof [BOTH BOUNDS(ID, ID), 171 ms] (36) CpxRNTS (37) CpxTrsToCdtProof [UPPER BOUND(ID), 1643 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), 13.5 s] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4068 ms] (48) CdtProblem (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4083 ms] (50) 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(2(1(3(0(2(2(3(2(2(1(3(4(5(2(5(1(x1)))))))))))))))))))) -> 0(5(5(5(2(4(2(4(0(1(0(4(4(1(5(0(5(3(1(1(x1)))))))))))))))))))) 0(0(4(1(1(2(3(1(2(5(4(2(5(3(1(0(3(2(1(5(x1)))))))))))))))))))) -> 0(2(1(2(2(5(4(3(3(5(5(0(1(5(1(1(2(1(4(2(x1)))))))))))))))))))) 0(0(5(0(3(0(1(0(4(1(0(0(3(0(4(3(0(0(3(5(x1)))))))))))))))))))) -> 1(5(0(4(0(0(4(4(5(3(5(2(5(0(4(4(0(3(5(2(x1)))))))))))))))))))) 0(1(0(4(1(4(1(2(3(1(0(0(2(1(5(4(3(1(3(2(x1)))))))))))))))))))) -> 4(3(5(0(0(4(3(3(2(0(5(3(2(5(1(4(0(5(2(3(x1)))))))))))))))))))) 0(1(3(2(2(1(1(4(5(0(5(2(5(2(0(3(0(2(4(4(x1)))))))))))))))))))) -> 0(0(5(2(5(0(5(1(5(0(5(3(5(1(3(3(2(3(4(2(x1)))))))))))))))))))) 0(2(2(4(1(5(0(3(1(2(4(2(5(2(1(3(4(4(1(4(x1)))))))))))))))))))) -> 0(4(3(5(4(1(3(5(3(1(2(3(4(2(5(0(5(4(0(1(x1)))))))))))))))))))) 0(2(3(1(5(0(1(5(2(0(2(3(4(2(1(3(2(2(3(5(x1)))))))))))))))))))) -> 5(0(3(1(2(4(5(2(4(1(5(2(1(2(2(3(5(4(4(5(x1)))))))))))))))))))) 0(2(3(4(5(2(1(5(1(3(0(5(5(0(0(5(0(3(2(0(x1)))))))))))))))))))) -> 5(5(0(3(1(0(5(5(5(1(3(4(1(2(3(4(5(2(5(5(x1)))))))))))))))))))) 0(2(3(5(5(1(0(1(5(3(0(2(0(5(5(1(3(4(1(0(x1)))))))))))))))))))) -> 5(3(5(2(1(4(4(1(1(1(2(2(1(2(2(1(2(5(4(5(x1)))))))))))))))))))) 0(2(4(1(5(4(4(1(5(1(5(2(4(0(0(1(3(2(5(1(x1)))))))))))))))))))) -> 0(1(2(1(4(2(1(5(5(4(1(1(0(2(1(0(5(5(2(5(x1)))))))))))))))))))) 0(3(0(1(0(1(5(0(1(1(2(1(3(1(0(4(1(5(1(3(x1)))))))))))))))))))) -> 1(5(0(1(1(3(2(5(5(3(3(3(1(4(2(2(5(0(4(2(x1)))))))))))))))))))) 0(3(0(3(0(3(3(5(2(2(2(1(1(2(1(3(2(4(5(4(x1)))))))))))))))))))) -> 3(2(1(1(5(4(2(2(0(1(3(2(5(0(4(2(4(5(1(5(x1)))))))))))))))))))) 0(3(0(3(3(1(2(1(2(5(0(4(4(1(3(5(1(1(0(1(x1)))))))))))))))))))) -> 1(0(5(5(1(4(3(1(2(1(1(4(2(5(0(2(4(5(3(5(x1)))))))))))))))))))) 0(3(3(5(1(2(3(2(2(1(4(1(2(3(4(5(0(1(4(4(x1)))))))))))))))))))) -> 2(0(2(1(2(1(3(4(1(1(1(1(5(3(0(2(0(4(3(2(x1)))))))))))))))))))) 0(3(5(1(5(1(1(0(5(4(1(2(3(1(4(0(2(4(4(1(x1)))))))))))))))))))) -> 4(3(2(2(1(1(0(2(5(0(4(5(3(4(0(5(5(4(5(3(x1)))))))))))))))))))) 0(3(5(5(5(1(2(5(3(5(1(4(5(3(3(3(5(5(0(1(x1)))))))))))))))))))) -> 5(5(5(3(2(5(1(5(4(2(5(5(5(4(5(2(5(0(3(0(x1)))))))))))))))))))) 0(4(1(0(4(0(0(2(4(2(5(1(2(0(4(4(5(5(5(0(x1)))))))))))))))))))) -> 5(4(2(3(0(0(5(0(2(1(1(5(1(3(1(2(0(3(0(0(x1)))))))))))))))))))) 0(4(3(2(3(2(2(5(0(1(1(3(5(2(0(5(4(1(4(4(x1)))))))))))))))))))) -> 4(2(5(1(0(2(5(5(5(0(0(4(5(1(5(0(0(1(4(1(x1)))))))))))))))))))) 0(4(5(2(0(5(4(3(1(2(0(1(3(2(2(5(4(4(3(4(x1)))))))))))))))))))) -> 5(1(1(0(2(2(1(2(5(0(2(2(4(5(5(3(3(2(5(3(x1)))))))))))))))))))) 0(5(0(3(1(1(1(0(2(5(0(4(0(5(3(2(1(2(3(2(x1)))))))))))))))))))) -> 3(5(3(4(5(5(5(2(5(1(0(5(4(2(4(5(2(1(3(2(x1)))))))))))))))))))) 0(5(0(5(1(5(2(0(4(0(0(3(5(3(5(0(2(4(4(5(x1)))))))))))))))))))) -> 5(5(0(4(3(1(0(5(0(5(0(0(4(3(2(5(5(0(3(3(x1)))))))))))))))))))) 0(5(2(1(0(2(3(5(4(2(3(1(2(0(2(4(5(4(2(0(x1)))))))))))))))))))) -> 3(1(0(1(0(0(5(3(3(1(1(0(2(0(5(2(5(0(5(5(x1)))))))))))))))))))) 0(5(4(4(3(5(1(1(3(2(1(4(0(1(4(4(1(1(2(4(x1)))))))))))))))))))) -> 5(5(0(1(0(2(0(5(4(2(2(3(4(3(4(3(2(0(1(3(x1)))))))))))))))))))) 0(5(5(1(4(3(4(3(0(5(0(0(0(0(0(1(1(1(3(3(x1)))))))))))))))))))) -> 0(0(4(1(5(3(5(2(2(0(3(4(1(5(5(5(1(2(0(3(x1)))))))))))))))))))) 1(0(2(5(2(0(5(3(3(2(0(5(2(2(5(1(0(4(0(5(x1)))))))))))))))))))) -> 5(3(5(0(5(2(3(4(1(2(5(2(3(2(0(5(2(0(0(0(x1)))))))))))))))))))) 1(0(4(0(3(4(5(2(0(2(5(1(2(1(5(0(3(0(4(1(x1)))))))))))))))))))) -> 1(1(0(1(1(2(5(1(5(1(4(5(4(5(2(2(2(4(2(0(x1)))))))))))))))))))) 1(1(3(5(3(2(5(5(5(1(2(4(3(3(5(2(0(4(5(0(x1)))))))))))))))))))) -> 1(5(3(2(2(0(5(5(4(4(2(1(4(2(2(5(3(5(2(5(x1)))))))))))))))))))) 1(2(0(2(3(1(4(2(2(1(3(2(5(4(3(4(5(4(5(0(x1)))))))))))))))))))) -> 5(5(0(1(5(1(2(3(2(5(3(4(4(3(5(4(1(1(1(4(x1)))))))))))))))))))) 1(2(3(2(5(1(2(4(1(3(2(5(5(3(1(3(1(3(4(1(x1)))))))))))))))))))) -> 2(4(4(3(2(2(1(3(0(0(0(1(5(5(2(1(2(5(5(0(x1)))))))))))))))))))) 1(2(5(1(3(0(2(2(1(5(1(5(3(0(4(5(3(5(2(0(x1)))))))))))))))))))) -> 5(2(0(5(2(5(5(4(5(3(3(5(2(3(4(3(4(5(0(0(x1)))))))))))))))))))) 1(3(0(1(5(0(2(3(5(1(0(0(5(4(1(3(2(4(5(2(x1)))))))))))))))))))) -> 3(2(2(2(2(3(1(0(2(1(5(4(2(1(3(5(4(5(2(5(x1))))))))))))))))))))
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