details

property	value
status	complete
benchmark	abababaab-aabaabababab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n066.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	29.6804 seconds
cpu usage	107.144
user time	102.541
system time	4.60354
max virtual memory	5.7005104E7
max residence set size	8744652.0

stage attributes

key	value
starexec-result	YES

output

106.88/28.07 YES 106.88/28.10 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 106.88/28.10 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 106.88/28.10 106.88/28.10 106.88/28.10 Termination w.r.t. Q of the given QTRS could be proven: 106.88/28.10 106.88/28.10 (0) QTRS 106.88/28.10 (1) QTRS Reverse [EQUIVALENT, 0 ms] 106.88/28.10 (2) QTRS 106.88/28.10 (3) RootLabelingProof [EQUIVALENT, 0 ms] 106.88/28.10 (4) QTRS 106.88/28.10 (5) DependencyPairsProof [EQUIVALENT, 16 ms] 106.88/28.10 (6) QDP 106.88/28.10 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 106.88/28.10 (8) QDP 106.88/28.10 (9) QDPOrderProof [EQUIVALENT, 6573 ms] 106.88/28.10 (10) QDP 106.88/28.10 (11) PisEmptyProof [EQUIVALENT, 0 ms] 106.88/28.10 (12) YES 106.88/28.10 106.88/28.10 106.88/28.10 ---------------------------------------- 106.88/28.10 106.88/28.10 (0) 106.88/28.10 Obligation: 106.88/28.10 Q restricted rewrite system: 106.88/28.10 The TRS R consists of the following rules: 106.88/28.10 106.88/28.10 a(b(a(b(a(b(a(a(b(x1))))))))) -> a(a(b(a(a(b(a(b(a(b(a(b(x1)))))))))))) 106.88/28.10 106.88/28.10 Q is empty. 106.88/28.10 106.88/28.10 ---------------------------------------- 106.88/28.10 106.88/28.10 (1) QTRS Reverse (EQUIVALENT) 106.88/28.10 We applied the QTRS Reverse Processor [REVERSE]. 106.88/28.10 ---------------------------------------- 106.88/28.10 106.88/28.10 (2) 106.88/28.10 Obligation: 106.88/28.10 Q restricted rewrite system: 106.88/28.10 The TRS R consists of the following rules: 106.88/28.10 106.88/28.10 b(a(a(b(a(b(a(b(a(x1))))))))) -> b(a(b(a(b(a(b(a(a(b(a(a(x1)))))))))))) 106.88/28.10 106.88/28.10 Q is empty. 106.88/28.10 106.88/28.10 ---------------------------------------- 106.88/28.10 106.88/28.10 (3) RootLabelingProof (EQUIVALENT) 106.88/28.10 We used plain root labeling [ROOTLAB] with the following heuristic: 106.88/28.10 LabelAll: All function symbols get labeled 106.88/28.10 106.88/28.10 As Q is empty the root labeling was sound AND complete. 106.88/28.10 106.88/28.10 ---------------------------------------- 106.88/28.10 106.88/28.10 (4) 106.88/28.10 Obligation: 106.88/28.10 Q restricted rewrite system: 106.88/28.10 The TRS R consists of the following rules: 106.88/28.10 106.88/28.10 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))))))))))) 106.88/28.10 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))))))))))) 106.88/28.10 106.88/28.10 Q is empty. 106.88/28.10 106.88/28.10 ---------------------------------------- 106.88/28.10 106.88/28.10 (5) DependencyPairsProof (EQUIVALENT) 106.88/28.10 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 106.88/28.10 ---------------------------------------- 106.88/28.10 106.88/28.10 (6) 106.88/28.10 Obligation: 106.88/28.10 Q DP problem: 106.88/28.10 The TRS P consists of the following rules: 106.88/28.10 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))))))))))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))))))))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))))))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))))))) -> B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))))))) -> B_{A_1}(a_{a_1}(a_{b_1}(x1))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))))))))))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))))))))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))))))) -> B_{A_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))))))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))))))) -> B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))))) 106.88/28.10 B_{A_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))))))) -> B_{A_1}(a_{a_1}(a_{a_1}(x1))) 106.88/28.10 106.88/28.10 The TRS R consists of the following rules: 106.88/28.10 106.88/28.10 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))))))))))) 106.88/28.10 b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))))))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))))))))))) 106.88/28.10 106.88/28.10 Q is empty. 106.88/28.10 We have to consider all minimal (P,Q,R)-chains. 106.88/28.10 ---------------------------------------- 106.88/28.10 106.88/28.10 (7) DependencyGraphProof (EQUIVALENT) popout

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all output return to SRS_Standard 2019-03-29 03.29