details

property	value
status	complete
benchmark	size-12-alpha-3-num-94.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n120.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.35994 seconds
cpu usage	29.6151
user time	28.4394
system time	1.17565
max virtual memory	4.0428504E7
max residence set size	3989712.0

stage attributes

key	value
starexec-result	YES

output

26.65/7.72 YES 29.40/9.22 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 29.40/9.22 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 29.40/9.22 29.40/9.22 29.40/9.22 Termination w.r.t. Q of the given QTRS could be proven: 29.40/9.22 29.40/9.22 (0) QTRS 29.40/9.22 (1) FlatCCProof [EQUIVALENT, 0 ms] 29.40/9.22 (2) QTRS 29.40/9.22 (3) RootLabelingProof [EQUIVALENT, 0 ms] 29.40/9.22 (4) QTRS 29.40/9.22 (5) QTRSRRRProof [EQUIVALENT, 28 ms] 29.40/9.22 (6) QTRS 29.40/9.22 (7) DependencyPairsProof [EQUIVALENT, 13 ms] 29.40/9.22 (8) QDP 29.40/9.22 (9) QDPOrderProof [EQUIVALENT, 176 ms] 29.40/9.22 (10) QDP 29.40/9.22 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 29.40/9.22 (12) AND 29.40/9.22 (13) QDP 29.40/9.22 (14) UsableRulesProof [EQUIVALENT, 0 ms] 29.40/9.22 (15) QDP 29.40/9.22 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 29.40/9.22 (17) YES 29.40/9.22 (18) QDP 29.40/9.22 (19) UsableRulesProof [EQUIVALENT, 0 ms] 29.40/9.22 (20) QDP 29.40/9.22 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 29.40/9.22 (22) YES 29.40/9.22 29.40/9.22 29.40/9.22 ---------------------------------------- 29.40/9.22 29.40/9.22 (0) 29.40/9.22 Obligation: 29.40/9.22 Q restricted rewrite system: 29.40/9.22 The TRS R consists of the following rules: 29.40/9.22 29.40/9.22 a(x1) -> x1 29.40/9.22 a(a(x1)) -> b(c(x1)) 29.40/9.22 b(x1) -> x1 29.40/9.22 c(x1) -> x1 29.40/9.22 c(b(x1)) -> a(b(c(x1))) 29.40/9.22 29.40/9.22 Q is empty. 29.40/9.22 29.40/9.22 ---------------------------------------- 29.40/9.22 29.40/9.22 (1) FlatCCProof (EQUIVALENT) 29.40/9.22 We used flat context closure [ROOTLAB] 29.40/9.22 As Q is empty the flat context closure was sound AND complete. 29.40/9.22 29.40/9.22 ---------------------------------------- 29.40/9.22 29.40/9.22 (2) 29.40/9.22 Obligation: 29.40/9.22 Q restricted rewrite system: 29.40/9.22 The TRS R consists of the following rules: 29.40/9.22 29.40/9.22 a(a(x1)) -> a(x1) 29.40/9.22 b(a(x1)) -> b(x1) 29.40/9.22 c(a(x1)) -> c(x1) 29.40/9.22 a(a(a(x1))) -> a(b(c(x1))) 29.40/9.22 b(a(a(x1))) -> b(b(c(x1))) 29.40/9.22 c(a(a(x1))) -> c(b(c(x1))) 29.40/9.22 a(b(x1)) -> a(x1) 29.40/9.22 b(b(x1)) -> b(x1) 29.40/9.22 c(b(x1)) -> c(x1) 29.40/9.22 a(c(x1)) -> a(x1) 29.40/9.22 b(c(x1)) -> b(x1) 29.40/9.22 c(c(x1)) -> c(x1) 29.40/9.22 a(c(b(x1))) -> a(a(b(c(x1)))) 29.40/9.22 b(c(b(x1))) -> b(a(b(c(x1)))) 29.40/9.22 c(c(b(x1))) -> c(a(b(c(x1)))) 29.40/9.22 29.40/9.22 Q is empty. 29.40/9.22 29.40/9.22 ---------------------------------------- 29.40/9.22 29.40/9.22 (3) RootLabelingProof (EQUIVALENT) 29.40/9.22 We used plain root labeling [ROOTLAB] with the following heuristic: 29.40/9.22 LabelAll: All function symbols get labeled 29.40/9.22 29.40/9.22 As Q is empty the root labeling was sound AND complete. 29.40/9.22 29.40/9.22 ---------------------------------------- 29.40/9.22 29.40/9.22 (4) 29.40/9.22 Obligation: 29.40/9.22 Q restricted rewrite system: 29.40/9.22 The TRS R consists of the following rules: 29.40/9.22 29.40/9.22 a_{a_1}(a_{a_1}(x1)) -> a_{a_1}(x1) 29.40/9.22 a_{a_1}(a_{b_1}(x1)) -> a_{b_1}(x1) 29.40/9.22 a_{a_1}(a_{c_1}(x1)) -> a_{c_1}(x1) 29.40/9.22 b_{a_1}(a_{a_1}(x1)) -> b_{a_1}(x1) 29.40/9.22 b_{a_1}(a_{b_1}(x1)) -> b_{b_1}(x1) 29.40/9.22 b_{a_1}(a_{c_1}(x1)) -> b_{c_1}(x1) 29.40/9.22 c_{a_1}(a_{a_1}(x1)) -> c_{a_1}(x1) popout

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all output return to SRS_Standard 2019-03-29 03.29