details

property	value
status	complete
benchmark	random-230.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	8.12245 seconds
cpu usage	27.6237
user time	26.1704
system time	1.45326
max virtual memory	6.2847168E7
max residence set size	4156572.0

stage attributes

key	value
starexec-result	YES

output

26.99/7.83 YES 26.99/7.85 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 26.99/7.85 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.99/7.85 26.99/7.85 26.99/7.85 Termination w.r.t. Q of the given QTRS could be proven: 26.99/7.85 26.99/7.85 (0) QTRS 26.99/7.85 (1) FlatCCProof [EQUIVALENT, 0 ms] 26.99/7.85 (2) QTRS 26.99/7.85 (3) RootLabelingProof [EQUIVALENT, 0 ms] 26.99/7.85 (4) QTRS 26.99/7.85 (5) QTRSRRRProof [EQUIVALENT, 48 ms] 26.99/7.85 (6) QTRS 26.99/7.85 (7) DependencyPairsProof [EQUIVALENT, 0 ms] 26.99/7.85 (8) QDP 26.99/7.85 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 26.99/7.85 (10) QDP 26.99/7.85 (11) QDPOrderProof [EQUIVALENT, 20 ms] 26.99/7.85 (12) QDP 26.99/7.85 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 26.99/7.85 (14) AND 26.99/7.85 (15) QDP 26.99/7.85 (16) QDPOrderProof [EQUIVALENT, 0 ms] 26.99/7.85 (17) QDP 26.99/7.85 (18) PisEmptyProof [EQUIVALENT, 0 ms] 26.99/7.85 (19) YES 26.99/7.85 (20) QDP 26.99/7.85 (21) QDPOrderProof [EQUIVALENT, 0 ms] 26.99/7.85 (22) QDP 26.99/7.85 (23) PisEmptyProof [EQUIVALENT, 0 ms] 26.99/7.85 (24) YES 26.99/7.85 26.99/7.85 26.99/7.85 ---------------------------------------- 26.99/7.85 26.99/7.85 (0) 26.99/7.85 Obligation: 26.99/7.85 Q restricted rewrite system: 26.99/7.85 The TRS R consists of the following rules: 26.99/7.85 26.99/7.85 b(b(b(b(x1)))) -> b(b(b(a(x1)))) 26.99/7.85 a(b(a(a(x1)))) -> b(a(b(a(x1)))) 26.99/7.85 b(a(a(b(x1)))) -> a(b(a(b(x1)))) 26.99/7.85 26.99/7.85 Q is empty. 26.99/7.85 26.99/7.85 ---------------------------------------- 26.99/7.85 26.99/7.85 (1) FlatCCProof (EQUIVALENT) 26.99/7.85 We used flat context closure [ROOTLAB] 26.99/7.85 As Q is empty the flat context closure was sound AND complete. 26.99/7.85 26.99/7.85 ---------------------------------------- 26.99/7.85 26.99/7.85 (2) 26.99/7.85 Obligation: 26.99/7.85 Q restricted rewrite system: 26.99/7.85 The TRS R consists of the following rules: 26.99/7.85 26.99/7.85 b(b(b(b(x1)))) -> b(b(b(a(x1)))) 26.99/7.85 b(a(b(a(a(x1))))) -> b(b(a(b(a(x1))))) 26.99/7.85 a(a(b(a(a(x1))))) -> a(b(a(b(a(x1))))) 26.99/7.85 b(b(a(a(b(x1))))) -> b(a(b(a(b(x1))))) 26.99/7.85 a(b(a(a(b(x1))))) -> a(a(b(a(b(x1))))) 26.99/7.85 26.99/7.85 Q is empty. 26.99/7.85 26.99/7.85 ---------------------------------------- 26.99/7.85 26.99/7.85 (3) RootLabelingProof (EQUIVALENT) 26.99/7.85 We used plain root labeling [ROOTLAB] with the following heuristic: 26.99/7.85 LabelAll: All function symbols get labeled 26.99/7.85 26.99/7.85 As Q is empty the root labeling was sound AND complete. 26.99/7.85 26.99/7.85 ---------------------------------------- 26.99/7.85 26.99/7.85 (4) 26.99/7.85 Obligation: 26.99/7.85 Q restricted rewrite system: 26.99/7.85 The TRS R consists of the following rules: 26.99/7.85 26.99/7.85 b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(x1)))) 26.99/7.85 b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(x1)))) 26.99/7.85 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) 26.99/7.85 b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) 26.99/7.85 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))) 26.99/7.85 a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1))))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))) 26.99/7.85 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) 26.99/7.85 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) 26.99/7.85 a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) 26.99/7.85 a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) 26.99/7.85 26.99/7.85 Q is empty. 26.99/7.85 26.99/7.85 ---------------------------------------- 26.99/7.85 26.99/7.85 (5) QTRSRRRProof (EQUIVALENT) 26.99/7.85 Used ordering: popout

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