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TRS Standard pair #516963925
details
property
value
status
complete
benchmark
Liveness6.4.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
AProVE_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
28.3009541035 seconds
cpu usage
92.857225753
max memory
2.268934144E9
stage attributes
key
value
output-size
58696
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 71 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 0 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 0 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) UsableRulesProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) UsableRulesProof [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, 0 ms] (31) QDP (32) DependencyGraphProof [EQUIVALENT, 0 ms] (33) QDP (34) TransformationProof [EQUIVALENT, 0 ms] (35) QDP (36) TransformationProof [EQUIVALENT, 0 ms] (37) QDP (38) QDPOrderProof [EQUIVALENT, 50 ms] (39) QDP (40) QDPOrderProof [EQUIVALENT, 101 ms] (41) QDP (42) SemLabProof [SOUND, 2039 ms] (43) QDP (44) DependencyGraphProof [EQUIVALENT, 1 ms] (45) AND (46) QDP (47) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (48) QDP (49) MRRProof [EQUIVALENT, 4 ms] (50) QDP (51) PisEmptyProof [EQUIVALENT, 0 ms] (52) YES (53) QDP (54) MRRProof [EQUIVALENT, 7 ms] (55) QDP (56) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] (57) QDP (58) MRRProof [EQUIVALENT, 4 ms] (59) QDP (60) DependencyGraphProof [EQUIVALENT, 0 ms] (61) QDP (62) MRRProof [EQUIVALENT, 4 ms] (63) QDP (64) DependencyGraphProof [EQUIVALENT, 0 ms] (65) TRUE (66) QDP (67) MRRProof [EQUIVALENT, 0 ms] (68) QDP (69) UsableRulesReductionPairsProof [EQUIVALENT, 6 ms] (70) QDP (71) MRRProof [EQUIVALENT, 0 ms] (72) QDP (73) DependencyGraphProof [EQUIVALENT, 0 ms] (74) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: top1(free(x), y) -> top2(check(new(x)), y) top1(free(x), y) -> top2(new(x), check(y)) top1(free(x), y) -> top2(check(x), new(y))
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