details

property	value
status	complete
benchmark	secr8.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n124.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.71189 seconds
cpu usage	34.2968
user time	32.8015
system time	1.49533
max virtual memory	6.119998E7
max residence set size	4089000.0

stage attributes

key	value
starexec-result	YES

output

33.52/9.51 YES 33.95/9.58 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 33.95/9.58 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 33.95/9.58 33.95/9.58 33.95/9.58 Termination w.r.t. Q of the given QTRS could be proven: 33.95/9.58 33.95/9.58 (0) QTRS 33.95/9.58 (1) FlatCCProof [EQUIVALENT, 0 ms] 33.95/9.58 (2) QTRS 33.95/9.58 (3) RootLabelingProof [EQUIVALENT, 0 ms] 33.95/9.58 (4) QTRS 33.95/9.58 (5) DependencyPairsProof [EQUIVALENT, 114 ms] 33.95/9.58 (6) QDP 33.95/9.58 (7) QDPOrderProof [EQUIVALENT, 391 ms] 33.95/9.58 (8) QDP 33.95/9.58 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 33.95/9.58 (10) AND 33.95/9.58 (11) QDP 33.95/9.58 (12) QDPOrderProof [EQUIVALENT, 80 ms] 33.95/9.58 (13) QDP 33.95/9.58 (14) DependencyGraphProof [EQUIVALENT, 0 ms] 33.95/9.58 (15) TRUE 33.95/9.58 (16) QDP 33.95/9.58 (17) QDPOrderProof [EQUIVALENT, 42 ms] 33.95/9.58 (18) QDP 33.95/9.58 (19) PisEmptyProof [EQUIVALENT, 0 ms] 33.95/9.58 (20) YES 33.95/9.58 33.95/9.58 33.95/9.58 ---------------------------------------- 33.95/9.58 33.95/9.58 (0) 33.95/9.58 Obligation: 33.95/9.58 Q restricted rewrite system: 33.95/9.58 The TRS R consists of the following rules: 33.95/9.58 33.95/9.58 b(b(b(x1))) -> a(x1) 33.95/9.58 a(a(x1)) -> a(b(a(x1))) 33.95/9.58 b(c(x1)) -> c(a(a(x1))) 33.95/9.58 a(c(x1)) -> c(b(b(x1))) 33.95/9.58 a(a(a(x1))) -> b(a(a(x1))) 33.95/9.58 33.95/9.58 Q is empty. 33.95/9.58 33.95/9.58 ---------------------------------------- 33.95/9.58 33.95/9.58 (1) FlatCCProof (EQUIVALENT) 33.95/9.58 We used flat context closure [ROOTLAB] 33.95/9.58 As Q is empty the flat context closure was sound AND complete. 33.95/9.58 33.95/9.58 ---------------------------------------- 33.95/9.58 33.95/9.58 (2) 33.95/9.58 Obligation: 33.95/9.58 Q restricted rewrite system: 33.95/9.58 The TRS R consists of the following rules: 33.95/9.58 33.95/9.58 a(a(x1)) -> a(b(a(x1))) 33.95/9.58 b(b(b(b(x1)))) -> b(a(x1)) 33.95/9.58 a(b(b(b(x1)))) -> a(a(x1)) 33.95/9.58 c(b(b(b(x1)))) -> c(a(x1)) 33.95/9.58 b(b(c(x1))) -> b(c(a(a(x1)))) 33.95/9.58 a(b(c(x1))) -> a(c(a(a(x1)))) 33.95/9.58 c(b(c(x1))) -> c(c(a(a(x1)))) 33.95/9.58 b(a(c(x1))) -> b(c(b(b(x1)))) 33.95/9.58 a(a(c(x1))) -> a(c(b(b(x1)))) 33.95/9.58 c(a(c(x1))) -> c(c(b(b(x1)))) 33.95/9.58 b(a(a(a(x1)))) -> b(b(a(a(x1)))) 33.95/9.58 a(a(a(a(x1)))) -> a(b(a(a(x1)))) 33.95/9.58 c(a(a(a(x1)))) -> c(b(a(a(x1)))) 33.95/9.58 33.95/9.58 Q is empty. 33.95/9.58 33.95/9.58 ---------------------------------------- 33.95/9.58 33.95/9.58 (3) RootLabelingProof (EQUIVALENT) 33.95/9.58 We used plain root labeling [ROOTLAB] with the following heuristic: 33.95/9.58 LabelAll: All function symbols get labeled 33.95/9.58 33.95/9.58 As Q is empty the root labeling was sound AND complete. 33.95/9.58 33.95/9.58 ---------------------------------------- 33.95/9.58 33.95/9.58 (4) 33.95/9.58 Obligation: 33.95/9.58 Q restricted rewrite system: 33.95/9.58 The TRS R consists of the following rules: 33.95/9.58 33.95/9.58 a_{a_1}(a_{a_1}(x1)) -> a_{b_1}(b_{a_1}(a_{a_1}(x1))) 33.95/9.58 a_{a_1}(a_{b_1}(x1)) -> a_{b_1}(b_{a_1}(a_{b_1}(x1))) 33.95/9.58 a_{a_1}(a_{c_1}(x1)) -> a_{b_1}(b_{a_1}(a_{c_1}(x1))) 33.95/9.58 b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> b_{a_1}(a_{a_1}(x1)) 33.95/9.58 b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> b_{a_1}(a_{b_1}(x1)) 33.95/9.58 b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x1)))) -> b_{a_1}(a_{c_1}(x1)) 33.95/9.58 a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(x1)) 33.95/9.58 a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> a_{a_1}(a_{b_1}(x1)) 33.95/9.58 a_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x1)))) -> a_{a_1}(a_{c_1}(x1)) 33.95/9.58 c_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> c_{a_1}(a_{a_1}(x1)) 33.95/9.58 c_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> c_{a_1}(a_{b_1}(x1)) popout

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all output return to SRS_Standard 2019-03-29 03.29