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TRS Standard pair #516967520
details
property
value
status
complete
benchmark
4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n066.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
17.8913030624 seconds
cpu usage
53.871761076
max memory
3.11803904E9
stage attributes
key
value
output-size
39978
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 26 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) MRRProof [EQUIVALENT, 15 ms] (9) QDP (10) MRRProof [EQUIVALENT, 14 ms] (11) QDP (12) DependencyGraphProof [EQUIVALENT, 0 ms] (13) AND (14) QDP (15) TransformationProof [EQUIVALENT, 0 ms] (16) QDP (17) DependencyGraphProof [EQUIVALENT, 0 ms] (18) TRUE (19) QDP (20) TransformationProof [EQUIVALENT, 0 ms] (21) QDP (22) TransformationProof [EQUIVALENT, 0 ms] (23) QDP (24) TransformationProof [EQUIVALENT, 0 ms] (25) QDP (26) TransformationProof [EQUIVALENT, 0 ms] (27) QDP (28) DependencyGraphProof [EQUIVALENT, 0 ms] (29) QDP (30) TransformationProof [EQUIVALENT, 6 ms] (31) QDP (32) DependencyGraphProof [EQUIVALENT, 0 ms] (33) QDP (34) TransformationProof [EQUIVALENT, 0 ms] (35) QDP (36) DependencyGraphProof [EQUIVALENT, 0 ms] (37) QDP (38) SplitQDPProof [EQUIVALENT, 0 ms] (39) AND (40) QDP (41) SemLabProof [SOUND, 0 ms] (42) QDP (43) DependencyGraphProof [EQUIVALENT, 0 ms] (44) QDP (45) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (46) QDP (47) MRRProof [EQUIVALENT, 4 ms] (48) QDP (49) PisEmptyProof [SOUND, 0 ms] (50) TRUE (51) QDP (52) UsableRulesReductionPairsProof [EQUIVALENT, 6 ms] (53) QDP (54) RFCMatchBoundsDPProof [EQUIVALENT, 0 ms] (55) YES (56) QDP (57) TransformationProof [EQUIVALENT, 0 ms] (58) QDP (59) SplitQDPProof [EQUIVALENT, 0 ms] (60) AND (61) QDP (62) SemLabProof [SOUND, 0 ms] (63) QDP (64) DependencyGraphProof [EQUIVALENT, 0 ms] (65) QDP (66) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (67) QDP (68) PisEmptyProof [SOUND, 0 ms] (69) TRUE (70) QDP (71) QDPOrderProof [EQUIVALENT, 331 ms] (72) QDP (73) PisEmptyProof [EQUIVALENT, 0 ms] (74) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: g(c, g(c, x)) -> g(e, g(d, x)) g(d, g(d, x)) -> g(c, g(e, x)) g(e, g(e, x)) -> g(d, g(c, x))
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