details

property	value
status	complete
benchmark	random-97.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n179.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.58535 seconds
cpu usage	22.0655
user time	20.8888
system time	1.17678
max virtual memory	4.1891536E7
max residence set size	3391316.0

stage attributes

key	value
starexec-result	YES

output

21.77/6.49 YES 21.88/6.53 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 21.88/6.53 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.88/6.53 21.88/6.53 21.88/6.53 Termination w.r.t. Q of the given QTRS could be proven: 21.88/6.53 21.88/6.53 (0) QTRS 21.88/6.53 (1) FlatCCProof [EQUIVALENT, 0 ms] 21.88/6.53 (2) QTRS 21.88/6.53 (3) RootLabelingProof [EQUIVALENT, 0 ms] 21.88/6.53 (4) QTRS 21.88/6.53 (5) QTRSRRRProof [EQUIVALENT, 15 ms] 21.88/6.53 (6) QTRS 21.88/6.53 (7) DependencyPairsProof [EQUIVALENT, 19 ms] 21.88/6.53 (8) QDP 21.88/6.53 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 21.88/6.53 (10) AND 21.88/6.53 (11) QDP 21.88/6.53 (12) QDPOrderProof [EQUIVALENT, 85 ms] 21.88/6.53 (13) QDP 21.88/6.53 (14) PisEmptyProof [EQUIVALENT, 0 ms] 21.88/6.53 (15) YES 21.88/6.53 (16) QDP 21.88/6.53 (17) UsableRulesProof [EQUIVALENT, 2 ms] 21.88/6.53 (18) QDP 21.88/6.53 (19) MNOCProof [EQUIVALENT, 0 ms] 21.88/6.53 (20) QDP 21.88/6.53 (21) QDPOrderProof [EQUIVALENT, 5 ms] 21.88/6.53 (22) QDP 21.88/6.53 (23) PisEmptyProof [EQUIVALENT, 0 ms] 21.88/6.53 (24) YES 21.88/6.53 (25) QDP 21.88/6.53 (26) QDPOrderProof [EQUIVALENT, 95 ms] 21.88/6.53 (27) QDP 21.88/6.53 (28) PisEmptyProof [EQUIVALENT, 0 ms] 21.88/6.53 (29) YES 21.88/6.53 21.88/6.53 21.88/6.53 ---------------------------------------- 21.88/6.53 21.88/6.53 (0) 21.88/6.53 Obligation: 21.88/6.53 Q restricted rewrite system: 21.88/6.53 The TRS R consists of the following rules: 21.88/6.53 21.88/6.53 a(a(a(b(x1)))) -> b(a(b(a(x1)))) 21.88/6.53 a(a(b(b(x1)))) -> a(a(a(b(x1)))) 21.88/6.53 a(a(a(b(x1)))) -> b(b(a(b(x1)))) 21.88/6.53 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 21.88/6.53 21.88/6.53 Q is empty. 21.88/6.53 21.88/6.53 ---------------------------------------- 21.88/6.53 21.88/6.53 (1) FlatCCProof (EQUIVALENT) 21.88/6.53 We used flat context closure [ROOTLAB] 21.88/6.53 As Q is empty the flat context closure was sound AND complete. 21.88/6.53 21.88/6.53 ---------------------------------------- 21.88/6.53 21.88/6.53 (2) 21.88/6.53 Obligation: 21.88/6.53 Q restricted rewrite system: 21.88/6.53 The TRS R consists of the following rules: 21.88/6.53 21.88/6.53 a(a(b(b(x1)))) -> a(a(a(b(x1)))) 21.88/6.53 b(b(b(a(x1)))) -> b(a(b(b(x1)))) 21.88/6.53 a(a(a(a(b(x1))))) -> a(b(a(b(a(x1))))) 21.88/6.53 b(a(a(a(b(x1))))) -> b(b(a(b(a(x1))))) 21.88/6.53 a(a(a(a(b(x1))))) -> a(b(b(a(b(x1))))) 21.88/6.53 b(a(a(a(b(x1))))) -> b(b(b(a(b(x1))))) 21.88/6.53 21.88/6.53 Q is empty. 21.88/6.53 21.88/6.53 ---------------------------------------- 21.88/6.53 21.88/6.53 (3) RootLabelingProof (EQUIVALENT) 21.88/6.53 We used plain root labeling [ROOTLAB] with the following heuristic: 21.88/6.53 LabelAll: All function symbols get labeled 21.88/6.53 21.88/6.53 As Q is empty the root labeling was sound AND complete. 21.88/6.53 21.88/6.53 ---------------------------------------- 21.88/6.53 21.88/6.53 (4) 21.88/6.53 Obligation: 21.88/6.53 Q restricted rewrite system: 21.88/6.53 The TRS R consists of the following rules: 21.88/6.53 21.88/6.53 a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 21.88/6.53 a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 21.88/6.53 b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 21.88/6.53 b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 21.88/6.53 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) 21.88/6.53 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) 21.88/6.53 b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) 21.88/6.53 b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) 21.88/6.53 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) 21.88/6.53 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) popout

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all output return to SRS_Standard 2019-03-29 03.29