details

property	value
status	complete
benchmark	babbabbaba-ababbabbabba.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	55.0036 seconds
cpu usage	213.025
user time	207.165
system time	5.86034
max virtual memory	6.0211508E7
max residence set size	1.2449272E7

stage attributes

key	value
starexec-result	YES

output

211.43/54.58 YES 212.56/54.91 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 212.56/54.91 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 212.56/54.91 212.56/54.91 212.56/54.91 Termination w.r.t. Q of the given QTRS could be proven: 212.56/54.91 212.56/54.91 (0) QTRS 212.56/54.91 (1) QTRS Reverse [EQUIVALENT, 0 ms] 212.56/54.91 (2) QTRS 212.56/54.91 (3) RootLabelingProof [EQUIVALENT, 0 ms] 212.56/54.91 (4) QTRS 212.56/54.91 (5) DependencyPairsProof [EQUIVALENT, 23 ms] 212.56/54.91 (6) QDP 212.56/54.91 (7) DependencyGraphProof [EQUIVALENT, 1 ms] 212.56/54.91 (8) QDP 212.56/54.91 (9) QDPOrderProof [EQUIVALENT, 7446 ms] 212.56/54.91 (10) QDP 212.56/54.91 (11) QDPOrderProof [EQUIVALENT, 4999 ms] 212.56/54.91 (12) QDP 212.56/54.91 (13) PisEmptyProof [EQUIVALENT, 0 ms] 212.56/54.91 (14) YES 212.56/54.91 212.56/54.91 212.56/54.91 ---------------------------------------- 212.56/54.91 212.56/54.91 (0) 212.56/54.91 Obligation: 212.56/54.91 Q restricted rewrite system: 212.56/54.91 The TRS R consists of the following rules: 212.56/54.91 212.56/54.91 b(a(b(b(a(b(b(a(b(a(x1)))))))))) -> a(b(a(b(b(a(b(b(a(b(b(a(x1)))))))))))) 212.56/54.91 212.56/54.91 Q is empty. 212.56/54.91 212.56/54.91 ---------------------------------------- 212.56/54.91 212.56/54.91 (1) QTRS Reverse (EQUIVALENT) 212.56/54.91 We applied the QTRS Reverse Processor [REVERSE]. 212.56/54.91 ---------------------------------------- 212.56/54.91 212.56/54.91 (2) 212.56/54.91 Obligation: 212.56/54.91 Q restricted rewrite system: 212.56/54.91 The TRS R consists of the following rules: 212.56/54.91 212.56/54.91 a(b(a(b(b(a(b(b(a(b(x1)))))))))) -> a(b(b(a(b(b(a(b(b(a(b(a(x1)))))))))))) 212.56/54.91 212.56/54.91 Q is empty. 212.56/54.91 212.56/54.91 ---------------------------------------- 212.56/54.91 212.56/54.91 (3) RootLabelingProof (EQUIVALENT) 212.56/54.91 We used plain root labeling [ROOTLAB] with the following heuristic: 212.56/54.91 LabelAll: All function symbols get labeled 212.56/54.91 212.56/54.91 As Q is empty the root labeling was sound AND complete. 212.56/54.91 212.56/54.91 ---------------------------------------- 212.56/54.91 212.56/54.91 (4) 212.56/54.91 Obligation: 212.56/54.91 Q restricted rewrite system: 212.56/54.91 The TRS R consists of the following rules: 212.56/54.91 212.56/54.91 a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))))))))))) 212.56/54.91 a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))))))))))) 212.56/54.91 212.56/54.91 Q is empty. 212.56/54.91 212.56/54.91 ---------------------------------------- 212.56/54.91 212.56/54.91 (5) DependencyPairsProof (EQUIVALENT) 212.56/54.91 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 212.84/54.91 ---------------------------------------- 212.84/54.91 212.84/54.91 (6) 212.84/54.91 Obligation: 212.84/54.91 Q DP problem: 212.84/54.91 The TRS P consists of the following rules: 212.84/54.91 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))))))) -> A_{B_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))))))))))) 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))))))) -> A_{B_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1))))))))) 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))))))) -> A_{B_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))))) 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))))))) -> A_{B_1}(b_{a_1}(a_{a_1}(x1))) 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))))) -> A_{B_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))))))))))) 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))))) -> A_{B_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1))))))))) 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))))) -> A_{B_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))))) 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))))) -> A_{B_1}(b_{a_1}(a_{b_1}(x1))) 212.84/54.91 A_{B_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))))) -> A_{B_1}(x1) 212.84/54.91 212.84/54.91 The TRS R consists of the following rules: 212.84/54.91 212.84/54.91 a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))))))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{a_1}(x1)))))))))))) 212.84/54.91 a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))))))))) -> a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(x1)))))))))))) 212.84/54.91 212.84/54.91 Q is empty. 212.84/54.91 We have to consider all minimal (P,Q,R)-chains. 212.84/54.91 ---------------------------------------- 212.84/54.91 popout

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all output return to SRS_Standard 2019-03-29 03.29