details

property	value
status	complete
benchmark	random-234.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n097.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.74373 seconds
cpu usage	14.8771
user time	14.0551
system time	0.822026
max virtual memory	3.950484E7
max residence set size	2329576.0

stage attributes

key	value
starexec-result	YES

output

14.31/4.59 YES 14.47/4.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 14.47/4.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.47/4.65 14.47/4.65 14.47/4.65 Termination w.r.t. Q of the given QTRS could be proven: 14.47/4.65 14.47/4.65 (0) QTRS 14.47/4.65 (1) QTRS Reverse [EQUIVALENT, 0 ms] 14.47/4.65 (2) QTRS 14.47/4.65 (3) FlatCCProof [EQUIVALENT, 0 ms] 14.47/4.65 (4) QTRS 14.47/4.65 (5) RootLabelingProof [EQUIVALENT, 4 ms] 14.47/4.65 (6) QTRS 14.47/4.65 (7) DependencyPairsProof [EQUIVALENT, 26 ms] 14.47/4.65 (8) QDP 14.47/4.65 (9) DependencyGraphProof [EQUIVALENT, 3 ms] 14.47/4.65 (10) QDP 14.47/4.65 (11) QDPOrderProof [EQUIVALENT, 51 ms] 14.47/4.65 (12) QDP 14.47/4.65 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 14.47/4.65 (14) TRUE 14.47/4.65 14.47/4.65 14.47/4.65 ---------------------------------------- 14.47/4.65 14.47/4.65 (0) 14.47/4.65 Obligation: 14.47/4.65 Q restricted rewrite system: 14.47/4.65 The TRS R consists of the following rules: 14.47/4.65 14.47/4.65 a(b(b(a(x1)))) -> b(b(a(a(x1)))) 14.47/4.65 b(b(b(a(x1)))) -> a(a(a(a(x1)))) 14.47/4.65 a(b(a(a(x1)))) -> b(a(b(b(x1)))) 14.47/4.65 14.47/4.65 Q is empty. 14.47/4.65 14.47/4.65 ---------------------------------------- 14.47/4.65 14.47/4.65 (1) QTRS Reverse (EQUIVALENT) 14.47/4.65 We applied the QTRS Reverse Processor [REVERSE]. 14.47/4.65 ---------------------------------------- 14.47/4.65 14.47/4.65 (2) 14.47/4.65 Obligation: 14.47/4.65 Q restricted rewrite system: 14.47/4.65 The TRS R consists of the following rules: 14.47/4.65 14.47/4.65 a(b(b(a(x1)))) -> a(a(b(b(x1)))) 14.47/4.65 a(b(b(b(x1)))) -> a(a(a(a(x1)))) 14.47/4.65 a(a(b(a(x1)))) -> b(b(a(b(x1)))) 14.47/4.65 14.47/4.65 Q is empty. 14.47/4.65 14.47/4.65 ---------------------------------------- 14.47/4.65 14.47/4.65 (3) FlatCCProof (EQUIVALENT) 14.47/4.65 We used flat context closure [ROOTLAB] 14.47/4.65 As Q is empty the flat context closure was sound AND complete. 14.47/4.65 14.47/4.65 ---------------------------------------- 14.47/4.65 14.47/4.65 (4) 14.47/4.65 Obligation: 14.47/4.65 Q restricted rewrite system: 14.47/4.65 The TRS R consists of the following rules: 14.47/4.65 14.47/4.65 a(b(b(a(x1)))) -> a(a(b(b(x1)))) 14.47/4.65 a(b(b(b(x1)))) -> a(a(a(a(x1)))) 14.47/4.65 a(a(a(b(a(x1))))) -> a(b(b(a(b(x1))))) 14.47/4.65 b(a(a(b(a(x1))))) -> b(b(b(a(b(x1))))) 14.47/4.65 14.47/4.65 Q is empty. 14.47/4.65 14.47/4.65 ---------------------------------------- 14.47/4.65 14.47/4.65 (5) RootLabelingProof (EQUIVALENT) 14.47/4.65 We used plain root labeling [ROOTLAB] with the following heuristic: 14.47/4.65 LabelAll: All function symbols get labeled 14.47/4.65 14.47/4.65 As Q is empty the root labeling was sound AND complete. 14.47/4.65 14.47/4.65 ---------------------------------------- 14.47/4.65 14.47/4.65 (6) 14.47/4.65 Obligation: 14.47/4.65 Q restricted rewrite system: 14.47/4.65 The TRS R consists of the following rules: 14.47/4.65 14.47/4.65 a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 14.47/4.65 a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 14.47/4.65 a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 14.47/4.65 a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) 14.47/4.65 a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) 14.47/4.65 a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) 14.47/4.65 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) 14.47/4.65 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) 14.47/4.65 14.47/4.65 Q is empty. 14.47/4.65 popout

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all output return to SRS_Standard 2019-03-29 03.29