details

property	value
status	complete
benchmark	size-12-alpha-3-num-352.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n134.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	7.05524 seconds
cpu usage	24.0085
user time	22.9494
system time	1.05904
max virtual memory	2.0549428E7
max residence set size	3058564.0

stage attributes

key	value
starexec-result	YES

output

23.73/6.96 YES 23.73/6.98 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 23.73/6.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 23.73/6.98 23.73/6.98 23.73/6.98 Termination w.r.t. Q of the given QTRS could be proven: 23.73/6.98 23.73/6.98 (0) QTRS 23.73/6.98 (1) FlatCCProof [EQUIVALENT, 0 ms] 23.73/6.98 (2) QTRS 23.73/6.98 (3) RootLabelingProof [EQUIVALENT, 1 ms] 23.73/6.98 (4) QTRS 23.73/6.98 (5) QTRSRRRProof [EQUIVALENT, 88 ms] 23.73/6.98 (6) QTRS 23.73/6.98 (7) DependencyPairsProof [EQUIVALENT, 64 ms] 23.73/6.98 (8) QDP 23.73/6.98 (9) DependencyGraphProof [EQUIVALENT, 3 ms] 23.73/6.98 (10) QDP 23.73/6.98 (11) QDPOrderProof [EQUIVALENT, 204 ms] 23.73/6.98 (12) QDP 23.73/6.98 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 23.73/6.98 (14) TRUE 23.73/6.98 23.73/6.98 23.73/6.98 ---------------------------------------- 23.73/6.98 23.73/6.98 (0) 23.73/6.98 Obligation: 23.73/6.98 Q restricted rewrite system: 23.73/6.98 The TRS R consists of the following rules: 23.73/6.98 23.73/6.98 a(x1) -> b(x1) 23.73/6.98 a(b(x1)) -> b(a(c(a(x1)))) 23.73/6.98 b(b(x1)) -> x1 23.73/6.98 c(c(x1)) -> x1 23.73/6.98 23.73/6.98 Q is empty. 23.73/6.98 23.73/6.98 ---------------------------------------- 23.73/6.98 23.73/6.98 (1) FlatCCProof (EQUIVALENT) 23.73/6.98 We used flat context closure [ROOTLAB] 23.73/6.98 As Q is empty the flat context closure was sound AND complete. 23.73/6.98 23.73/6.98 ---------------------------------------- 23.73/6.98 23.73/6.98 (2) 23.73/6.98 Obligation: 23.73/6.98 Q restricted rewrite system: 23.73/6.98 The TRS R consists of the following rules: 23.73/6.98 23.73/6.98 a(a(x1)) -> a(b(x1)) 23.73/6.98 b(a(x1)) -> b(b(x1)) 23.73/6.98 c(a(x1)) -> c(b(x1)) 23.73/6.98 a(a(b(x1))) -> a(b(a(c(a(x1))))) 23.73/6.98 b(a(b(x1))) -> b(b(a(c(a(x1))))) 23.73/6.98 c(a(b(x1))) -> c(b(a(c(a(x1))))) 23.73/6.98 a(b(b(x1))) -> a(x1) 23.73/6.98 b(b(b(x1))) -> b(x1) 23.73/6.98 c(b(b(x1))) -> c(x1) 23.73/6.98 a(c(c(x1))) -> a(x1) 23.73/6.98 b(c(c(x1))) -> b(x1) 23.73/6.98 c(c(c(x1))) -> c(x1) 23.73/6.98 23.73/6.98 Q is empty. 23.73/6.98 23.73/6.98 ---------------------------------------- 23.73/6.98 23.73/6.98 (3) RootLabelingProof (EQUIVALENT) 23.73/6.98 We used plain root labeling [ROOTLAB] with the following heuristic: 23.73/6.98 LabelAll: All function symbols get labeled 23.73/6.98 23.73/6.98 As Q is empty the root labeling was sound AND complete. 23.73/6.98 23.73/6.98 ---------------------------------------- 23.73/6.98 23.73/6.98 (4) 23.73/6.98 Obligation: 23.73/6.98 Q restricted rewrite system: 23.73/6.98 The TRS R consists of the following rules: 23.73/6.98 23.73/6.98 a_{a_1}(a_{a_1}(x1)) -> a_{b_1}(b_{a_1}(x1)) 23.73/6.98 a_{a_1}(a_{b_1}(x1)) -> a_{b_1}(b_{b_1}(x1)) 23.73/6.98 a_{a_1}(a_{c_1}(x1)) -> a_{b_1}(b_{c_1}(x1)) 23.73/6.98 b_{a_1}(a_{a_1}(x1)) -> b_{b_1}(b_{a_1}(x1)) 23.73/6.98 b_{a_1}(a_{b_1}(x1)) -> b_{b_1}(b_{b_1}(x1)) 23.73/6.98 b_{a_1}(a_{c_1}(x1)) -> b_{b_1}(b_{c_1}(x1)) 23.73/6.98 c_{a_1}(a_{a_1}(x1)) -> c_{b_1}(b_{a_1}(x1)) 23.73/6.98 c_{a_1}(a_{b_1}(x1)) -> c_{b_1}(b_{b_1}(x1)) 23.73/6.98 c_{a_1}(a_{c_1}(x1)) -> c_{b_1}(b_{c_1}(x1)) 23.73/6.98 a_{a_1}(a_{b_1}(b_{a_1}(x1))) -> a_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{a_1}(x1))))) 23.73/6.98 a_{a_1}(a_{b_1}(b_{b_1}(x1))) -> a_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{b_1}(x1))))) 23.73/6.98 a_{a_1}(a_{b_1}(b_{c_1}(x1))) -> a_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{c_1}(x1))))) 23.73/6.98 b_{a_1}(a_{b_1}(b_{a_1}(x1))) -> b_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{a_1}(x1))))) 23.73/6.98 b_{a_1}(a_{b_1}(b_{b_1}(x1))) -> b_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{b_1}(x1))))) 23.73/6.98 b_{a_1}(a_{b_1}(b_{c_1}(x1))) -> b_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{c_1}(x1))))) 23.73/6.98 c_{a_1}(a_{b_1}(b_{a_1}(x1))) -> c_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{a_1}(x1))))) 23.73/6.98 c_{a_1}(a_{b_1}(b_{b_1}(x1))) -> c_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{b_1}(x1))))) 23.73/6.98 c_{a_1}(a_{b_1}(b_{c_1}(x1))) -> c_{b_1}(b_{a_1}(a_{c_1}(c_{a_1}(a_{c_1}(x1))))) 23.73/6.98 a_{b_1}(b_{b_1}(b_{a_1}(x1))) -> a_{a_1}(x1) popout

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all output return to SRS_Standard 2019-03-29 03.29