details

property	value
status	complete
benchmark	random-371.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.58731 seconds
cpu usage	22.4454
user time	21.3454
system time	1.09997
max virtual memory	7.8363992E7
max residence set size	3112892.0

stage attributes

key	value
starexec-result	YES

output

22.06/6.49 YES 22.06/6.51 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 22.06/6.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 22.06/6.51 22.06/6.51 22.06/6.51 Termination w.r.t. Q of the given QTRS could be proven: 22.06/6.51 22.06/6.51 (0) QTRS 22.06/6.51 (1) QTRS Reverse [EQUIVALENT, 0 ms] 22.06/6.51 (2) QTRS 22.06/6.51 (3) FlatCCProof [EQUIVALENT, 0 ms] 22.06/6.51 (4) QTRS 22.06/6.51 (5) RootLabelingProof [EQUIVALENT, 2 ms] 22.06/6.51 (6) QTRS 22.06/6.51 (7) DependencyPairsProof [EQUIVALENT, 14 ms] 22.06/6.51 (8) QDP 22.06/6.51 (9) DependencyGraphProof [EQUIVALENT, 8 ms] 22.06/6.51 (10) QDP 22.06/6.51 (11) QDPOrderProof [EQUIVALENT, 82 ms] 22.06/6.51 (12) QDP 22.06/6.51 (13) QDPOrderProof [EQUIVALENT, 71 ms] 22.06/6.51 (14) QDP 22.06/6.51 (15) PisEmptyProof [EQUIVALENT, 0 ms] 22.06/6.51 (16) YES 22.06/6.51 22.06/6.51 22.06/6.51 ---------------------------------------- 22.06/6.51 22.06/6.51 (0) 22.06/6.51 Obligation: 22.06/6.51 Q restricted rewrite system: 22.06/6.51 The TRS R consists of the following rules: 22.06/6.51 22.06/6.51 a(a(a(a(x1)))) -> b(a(a(a(x1)))) 22.06/6.51 b(b(a(b(x1)))) -> a(a(b(b(x1)))) 22.06/6.51 a(a(b(a(x1)))) -> a(a(a(b(x1)))) 22.06/6.51 22.06/6.51 Q is empty. 22.06/6.51 22.06/6.51 ---------------------------------------- 22.06/6.51 22.06/6.51 (1) QTRS Reverse (EQUIVALENT) 22.06/6.51 We applied the QTRS Reverse Processor [REVERSE]. 22.06/6.51 ---------------------------------------- 22.06/6.51 22.06/6.51 (2) 22.06/6.51 Obligation: 22.06/6.51 Q restricted rewrite system: 22.06/6.51 The TRS R consists of the following rules: 22.06/6.51 22.06/6.51 a(a(a(a(x1)))) -> a(a(a(b(x1)))) 22.06/6.51 b(a(b(b(x1)))) -> b(b(a(a(x1)))) 22.06/6.51 a(b(a(a(x1)))) -> b(a(a(a(x1)))) 22.06/6.51 22.06/6.51 Q is empty. 22.06/6.51 22.06/6.51 ---------------------------------------- 22.06/6.51 22.06/6.51 (3) FlatCCProof (EQUIVALENT) 22.06/6.51 We used flat context closure [ROOTLAB] 22.06/6.51 As Q is empty the flat context closure was sound AND complete. 22.06/6.51 22.06/6.51 ---------------------------------------- 22.06/6.51 22.06/6.51 (4) 22.06/6.51 Obligation: 22.06/6.51 Q restricted rewrite system: 22.06/6.51 The TRS R consists of the following rules: 22.06/6.51 22.06/6.51 a(a(a(a(x1)))) -> a(a(a(b(x1)))) 22.06/6.51 b(a(b(b(x1)))) -> b(b(a(a(x1)))) 22.06/6.51 a(a(b(a(a(x1))))) -> a(b(a(a(a(x1))))) 22.06/6.51 b(a(b(a(a(x1))))) -> b(b(a(a(a(x1))))) 22.06/6.51 22.06/6.51 Q is empty. 22.06/6.51 22.06/6.51 ---------------------------------------- 22.06/6.51 22.06/6.51 (5) RootLabelingProof (EQUIVALENT) 22.06/6.51 We used plain root labeling [ROOTLAB] with the following heuristic: 22.06/6.51 LabelAll: All function symbols get labeled 22.06/6.51 22.06/6.51 As Q is empty the root labeling was sound AND complete. 22.06/6.51 22.06/6.51 ---------------------------------------- 22.06/6.51 22.06/6.51 (6) 22.06/6.51 Obligation: 22.06/6.51 Q restricted rewrite system: 22.06/6.51 The TRS R consists of the following rules: 22.06/6.51 22.06/6.51 a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1)))) 22.06/6.51 a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1)))) 22.06/6.51 b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))) 22.06/6.51 b_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))) 22.06/6.51 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) 22.06/6.51 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) 22.06/6.51 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1))))) 22.06/6.51 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1))))) 22.06/6.51 popout

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all output return to SRS_Standard 2019-03-29 03.29