details

property	value
status	complete
benchmark	04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n107.star.cs.uiowa.edu
space	Mixed_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.3255 seconds
cpu usage	40.9619
user time	39.2619
system time	1.7
max virtual memory	9.8594712E7
max residence set size	4112604.0

stage attributes

key	value
starexec-result	YES

output

40.36/11.26 YES 40.86/11.27 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 40.86/11.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 40.86/11.27 40.86/11.27 40.86/11.27 Termination w.r.t. Q of the given QTRS could be proven: 40.86/11.27 40.86/11.27 (0) QTRS 40.86/11.27 (1) FlatCCProof [EQUIVALENT, 0 ms] 40.86/11.27 (2) QTRS 40.86/11.27 (3) RootLabelingProof [EQUIVALENT, 2 ms] 40.86/11.27 (4) QTRS 40.86/11.27 (5) DependencyPairsProof [EQUIVALENT, 19 ms] 40.86/11.27 (6) QDP 40.86/11.27 (7) DependencyGraphProof [EQUIVALENT, 1 ms] 40.86/11.27 (8) QDP 40.86/11.27 (9) QDPOrderProof [EQUIVALENT, 198 ms] 40.86/11.27 (10) QDP 40.86/11.27 (11) QDPOrderProof [EQUIVALENT, 609 ms] 40.86/11.27 (12) QDP 40.86/11.27 (13) QDPOrderProof [EQUIVALENT, 277 ms] 40.86/11.27 (14) QDP 40.86/11.27 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 40.86/11.27 (16) TRUE 40.86/11.27 40.86/11.27 40.86/11.27 ---------------------------------------- 40.86/11.27 40.86/11.27 (0) 40.86/11.27 Obligation: 40.86/11.27 Q restricted rewrite system: 40.86/11.27 The TRS R consists of the following rules: 40.86/11.27 40.86/11.27 a(a(a(x1))) -> a(b(b(b(x1)))) 40.86/11.27 b(b(a(b(x1)))) -> a(a(a(x1))) 40.86/11.27 40.86/11.27 Q is empty. 40.86/11.27 40.86/11.27 ---------------------------------------- 40.86/11.27 40.86/11.27 (1) FlatCCProof (EQUIVALENT) 40.86/11.27 We used flat context closure [ROOTLAB] 40.86/11.27 As Q is empty the flat context closure was sound AND complete. 40.86/11.27 40.86/11.27 ---------------------------------------- 40.86/11.27 40.86/11.27 (2) 40.86/11.27 Obligation: 40.86/11.27 Q restricted rewrite system: 40.86/11.27 The TRS R consists of the following rules: 40.86/11.27 40.86/11.27 a(a(a(x1))) -> a(b(b(b(x1)))) 40.86/11.27 a(b(b(a(b(x1))))) -> a(a(a(a(x1)))) 40.86/11.27 b(b(b(a(b(x1))))) -> b(a(a(a(x1)))) 40.86/11.27 40.86/11.27 Q is empty. 40.86/11.27 40.86/11.27 ---------------------------------------- 40.86/11.27 40.86/11.27 (3) RootLabelingProof (EQUIVALENT) 40.86/11.27 We used plain root labeling [ROOTLAB] with the following heuristic: 40.86/11.27 LabelAll: All function symbols get labeled 40.86/11.27 40.86/11.27 As Q is empty the root labeling was sound AND complete. 40.86/11.27 40.86/11.27 ---------------------------------------- 40.86/11.27 40.86/11.27 (4) 40.86/11.27 Obligation: 40.86/11.27 Q restricted rewrite system: 40.86/11.27 The TRS R consists of the following rules: 40.86/11.27 40.86/11.27 a_{a_1}(a_{a_1}(a_{a_1}(x1))) -> a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) 40.86/11.27 a_{a_1}(a_{a_1}(a_{b_1}(x1))) -> a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) 40.86/11.27 a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 40.86/11.27 a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) 40.86/11.27 b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) 40.86/11.27 b_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) -> b_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))) 40.86/11.27 40.86/11.27 Q is empty. 40.86/11.27 40.86/11.27 ---------------------------------------- 40.86/11.27 40.86/11.27 (5) DependencyPairsProof (EQUIVALENT) 40.86/11.27 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 40.86/11.27 ---------------------------------------- 40.86/11.27 40.86/11.27 (6) 40.86/11.27 Obligation: 40.86/11.27 Q DP problem: 40.86/11.27 The TRS P consists of the following rules: 40.86/11.27 40.86/11.27 A_{A_1}(a_{a_1}(a_{a_1}(x1))) -> A_{B_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) 40.86/11.27 A_{A_1}(a_{a_1}(a_{a_1}(x1))) -> B_{B_1}(b_{b_1}(b_{a_1}(x1))) 40.86/11.27 A_{A_1}(a_{a_1}(a_{a_1}(x1))) -> B_{B_1}(b_{a_1}(x1)) 40.86/11.27 A_{A_1}(a_{a_1}(a_{b_1}(x1))) -> A_{B_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) 40.86/11.27 A_{A_1}(a_{a_1}(a_{b_1}(x1))) -> B_{B_1}(b_{b_1}(b_{b_1}(x1))) 40.86/11.27 A_{A_1}(a_{a_1}(a_{b_1}(x1))) -> B_{B_1}(b_{b_1}(x1)) 40.86/11.27 A_{A_1}(a_{a_1}(a_{b_1}(x1))) -> B_{B_1}(x1) 40.86/11.27 A_{B_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) -> A_{A_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))) popout

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all output return to SRS_Standard 2019-03-29 03.29