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SRS_Standard 2019-03-29 03.29 pair #432295141
details
property
value
status
complete
benchmark
abc.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Zantema_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.6382 seconds
cpu usage
45.5442
user time
43.723
system time
1.8212
max virtual memory
8.3833256E7
max residence set size
4630456.0
stage attributes
key
value
starexec-result
YES
output
42.71/11.88 YES 45.26/12.53 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 45.26/12.53 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 45.26/12.53 45.26/12.53 45.26/12.53 Termination w.r.t. Q of the given QTRS could be proven: 45.26/12.53 45.26/12.53 (0) QTRS 45.26/12.53 (1) FlatCCProof [EQUIVALENT, 0 ms] 45.26/12.53 (2) QTRS 45.26/12.53 (3) RootLabelingProof [EQUIVALENT, 0 ms] 45.26/12.53 (4) QTRS 45.26/12.53 (5) QTRSRRRProof [EQUIVALENT, 47 ms] 45.26/12.53 (6) QTRS 45.26/12.53 (7) DependencyPairsProof [EQUIVALENT, 0 ms] 45.26/12.53 (8) QDP 45.26/12.53 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 45.26/12.53 (10) AND 45.26/12.53 (11) QDP 45.26/12.53 (12) UsableRulesProof [EQUIVALENT, 0 ms] 45.26/12.53 (13) QDP 45.26/12.53 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 45.26/12.53 (15) YES 45.26/12.53 (16) QDP 45.26/12.53 (17) UsableRulesProof [EQUIVALENT, 0 ms] 45.26/12.53 (18) QDP 45.26/12.53 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 45.26/12.53 (20) YES 45.26/12.53 (21) QDP 45.26/12.53 (22) UsableRulesProof [EQUIVALENT, 0 ms] 45.26/12.53 (23) QDP 45.26/12.53 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 45.26/12.53 (25) YES 45.26/12.53 (26) QDP 45.26/12.53 (27) UsableRulesProof [EQUIVALENT, 0 ms] 45.26/12.53 (28) QDP 45.26/12.53 (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] 45.26/12.53 (30) YES 45.26/12.53 (31) QDP 45.26/12.53 (32) UsableRulesProof [EQUIVALENT, 0 ms] 45.26/12.53 (33) QDP 45.26/12.53 (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] 45.26/12.53 (35) YES 45.26/12.53 (36) QDP 45.26/12.53 (37) QDPOrderProof [EQUIVALENT, 17 ms] 45.26/12.53 (38) QDP 45.26/12.53 (39) UsableRulesProof [EQUIVALENT, 0 ms] 45.26/12.53 (40) QDP 45.26/12.53 (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] 45.26/12.53 (42) YES 45.26/12.53 45.26/12.53 45.26/12.53 ---------------------------------------- 45.26/12.53 45.26/12.53 (0) 45.26/12.53 Obligation: 45.26/12.53 Q restricted rewrite system: 45.26/12.53 The TRS R consists of the following rules: 45.26/12.53 45.26/12.53 a(b(c(x1))) -> c(c(b(b(a(a(x1)))))) 45.26/12.53 a(x1) -> x1 45.26/12.53 b(x1) -> x1 45.26/12.53 c(x1) -> x1 45.26/12.53 45.26/12.53 Q is empty. 45.26/12.53 45.26/12.53 ---------------------------------------- 45.26/12.53 45.26/12.53 (1) FlatCCProof (EQUIVALENT) 45.26/12.53 We used flat context closure [ROOTLAB] 45.26/12.53 As Q is empty the flat context closure was sound AND complete. 45.26/12.53 45.26/12.53 ---------------------------------------- 45.26/12.53 45.26/12.53 (2) 45.26/12.53 Obligation: 45.26/12.53 Q restricted rewrite system: 45.26/12.53 The TRS R consists of the following rules: 45.26/12.53 45.26/12.53 a(a(b(c(x1)))) -> a(c(c(b(b(a(a(x1))))))) 45.26/12.53 b(a(b(c(x1)))) -> b(c(c(b(b(a(a(x1))))))) 45.26/12.53 c(a(b(c(x1)))) -> c(c(c(b(b(a(a(x1))))))) 45.26/12.53 a(a(x1)) -> a(x1) 45.26/12.53 b(a(x1)) -> b(x1) 45.26/12.53 c(a(x1)) -> c(x1) 45.26/12.53 a(b(x1)) -> a(x1) 45.26/12.53 b(b(x1)) -> b(x1) 45.26/12.53 c(b(x1)) -> c(x1) 45.26/12.53 a(c(x1)) -> a(x1) 45.26/12.53 b(c(x1)) -> b(x1) 45.26/12.53 c(c(x1)) -> c(x1) 45.26/12.53 45.26/12.53 Q is empty. 45.26/12.53 45.26/12.53 ---------------------------------------- 45.26/12.53 45.26/12.53 (3) RootLabelingProof (EQUIVALENT) 45.26/12.53 We used plain root labeling [ROOTLAB] with the following heuristic: 45.26/12.53 LabelAll: All function symbols get labeled 45.26/12.53
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