details

property	value
status	complete
benchmark	baabbaaba-aabbaabaabba.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n048.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	275.711 seconds
cpu usage	955.424
user time	946.476
system time	8.94821
max virtual memory	5.959834E7
max residence set size	1.5254308E7

stage attributes

key	value
starexec-result	YES

output

946.49/273.45 YES 955.19/275.64 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 955.19/275.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 955.19/275.64 955.19/275.64 955.19/275.64 Termination w.r.t. Q of the given QTRS could be proven: 955.19/275.64 955.19/275.64 (0) QTRS 955.19/275.64 (1) DependencyPairsProof [EQUIVALENT, 9 ms] 955.19/275.64 (2) QDP 955.19/275.64 (3) QDPOrderProof [EQUIVALENT, 7620 ms] 955.19/275.64 (4) QDP 955.19/275.64 (5) QDPOrderProof [EQUIVALENT, 4101 ms] 955.19/275.64 (6) QDP 955.19/275.64 (7) PisEmptyProof [EQUIVALENT, 0 ms] 955.19/275.64 (8) YES 955.19/275.64 955.19/275.64 955.19/275.64 ---------------------------------------- 955.19/275.64 955.19/275.64 (0) 955.19/275.64 Obligation: 955.19/275.64 Q restricted rewrite system: 955.19/275.64 The TRS R consists of the following rules: 955.19/275.64 955.19/275.64 b(a(a(b(b(a(a(b(a(x1))))))))) -> a(a(b(b(a(a(b(a(a(b(b(a(x1)))))))))))) 955.19/275.64 955.19/275.64 Q is empty. 955.19/275.64 955.19/275.64 ---------------------------------------- 955.19/275.64 955.19/275.64 (1) DependencyPairsProof (EQUIVALENT) 955.19/275.64 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 955.19/275.64 ---------------------------------------- 955.19/275.64 955.19/275.64 (2) 955.19/275.64 Obligation: 955.19/275.64 Q DP problem: 955.19/275.64 The TRS P consists of the following rules: 955.19/275.64 955.19/275.64 B(a(a(b(b(a(a(b(a(x1))))))))) -> B(b(a(a(b(a(a(b(b(a(x1)))))))))) 955.19/275.64 B(a(a(b(b(a(a(b(a(x1))))))))) -> B(a(a(b(a(a(b(b(a(x1))))))))) 955.19/275.64 B(a(a(b(b(a(a(b(a(x1))))))))) -> B(a(a(b(b(a(x1)))))) 955.19/275.64 B(a(a(b(b(a(a(b(a(x1))))))))) -> B(b(a(x1))) 955.19/275.64 955.19/275.64 The TRS R consists of the following rules: 955.19/275.64 955.19/275.64 b(a(a(b(b(a(a(b(a(x1))))))))) -> a(a(b(b(a(a(b(a(a(b(b(a(x1)))))))))))) 955.19/275.64 955.19/275.64 Q is empty. 955.19/275.64 We have to consider all minimal (P,Q,R)-chains. 955.19/275.64 ---------------------------------------- 955.19/275.64 955.19/275.64 (3) QDPOrderProof (EQUIVALENT) 955.19/275.64 We use the reduction pair processor [LPAR04,JAR06]. 955.19/275.64 955.19/275.64 955.19/275.64 The following pairs can be oriented strictly and are deleted. 955.19/275.64 955.19/275.64 B(a(a(b(b(a(a(b(a(x1))))))))) -> B(b(a(a(b(a(a(b(b(a(x1)))))))))) 955.19/275.64 B(a(a(b(b(a(a(b(a(x1))))))))) -> B(a(a(b(a(a(b(b(a(x1))))))))) 955.19/275.64 The remaining pairs can at least be oriented weakly. 955.19/275.64 Used ordering: Matrix interpretation [MATRO] with arctic integers [ARCTIC,STERNAGEL_THIEMANN_RTA14]: 955.19/275.64 955.19/275.64 <<< 955.19/275.64 POL(B(x_1)) = [[0A]] + [[-I, 0A, 2A]] * x_1 955.19/275.64 >>> 955.19/275.64 955.19/275.64 <<< 955.19/275.64 POL(a(x_1)) = [[-I], [-I], [-I]] + [[0A, -I, -I], [-I, -I, -I], [-I, 0A, -1A]] * x_1 955.19/275.64 >>> 955.19/275.64 955.19/275.64 <<< 955.19/275.64 POL(b(x_1)) = [[-1A], [-I], [-I]] + [[0A, -1A, 0A], [-1A, 2A, -I], [-I, -I, 0A]] * x_1 955.19/275.64 >>> 955.19/275.64 955.19/275.64 955.19/275.64 The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented: 955.19/275.64 955.19/275.64 b(a(a(b(b(a(a(b(a(x1))))))))) -> a(a(b(b(a(a(b(a(a(b(b(a(x1)))))))))))) 955.19/275.64 955.19/275.64 955.19/275.64 ---------------------------------------- 955.19/275.64 955.19/275.64 (4) 955.19/275.64 Obligation: 955.19/275.64 Q DP problem: 955.19/275.64 The TRS P consists of the following rules: 955.19/275.64 955.19/275.64 B(a(a(b(b(a(a(b(a(x1))))))))) -> B(a(a(b(b(a(x1)))))) 955.19/275.64 B(a(a(b(b(a(a(b(a(x1))))))))) -> B(b(a(x1))) 955.19/275.64 955.19/275.64 The TRS R consists of the following rules: 955.19/275.64 955.19/275.64 b(a(a(b(b(a(a(b(a(x1))))))))) -> a(a(b(b(a(a(b(a(a(b(b(a(x1)))))))))))) 955.19/275.64 955.19/275.64 Q is empty. 955.19/275.64 We have to consider all minimal (P,Q,R)-chains. 955.19/275.64 ---------------------------------------- 955.19/275.64 popout

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all output return to SRS_Standard 2019-03-29 03.29