details

property	value
status	complete
benchmark	abbcaabbca-aabbcabbcaabbc.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n091.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.87785 seconds
cpu usage	4.08787
user time	3.8914
system time	0.196472
max virtual memory	1.9075552E7
max residence set size	340560.0

stage attributes

key	value
starexec-result	YES

output

3.91/1.82 YES 3.91/1.84 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.91/1.84 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.91/1.84 3.91/1.84 3.91/1.84 Termination w.r.t. Q of the given QTRS could be proven: 3.91/1.84 3.91/1.84 (0) QTRS 3.91/1.84 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.91/1.84 (2) QTRS 3.91/1.84 (3) Strip Symbols Proof [SOUND, 0 ms] 3.91/1.84 (4) QTRS 3.91/1.84 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.91/1.84 (6) YES 3.91/1.84 3.91/1.84 3.91/1.84 ---------------------------------------- 3.91/1.84 3.91/1.84 (0) 3.91/1.84 Obligation: 3.91/1.84 Q restricted rewrite system: 3.91/1.84 The TRS R consists of the following rules: 3.91/1.84 3.91/1.84 a(b(b(c(a(a(b(b(c(a(x1)))))))))) -> a(a(b(b(c(a(b(b(c(a(a(b(b(c(x1)))))))))))))) 3.91/1.84 3.91/1.84 Q is empty. 3.91/1.84 3.91/1.84 ---------------------------------------- 3.91/1.84 3.91/1.84 (1) QTRS Reverse (EQUIVALENT) 3.91/1.84 We applied the QTRS Reverse Processor [REVERSE]. 3.91/1.84 ---------------------------------------- 3.91/1.84 3.91/1.84 (2) 3.91/1.84 Obligation: 3.91/1.84 Q restricted rewrite system: 3.91/1.84 The TRS R consists of the following rules: 3.91/1.84 3.91/1.84 a(c(b(b(a(a(c(b(b(a(x1)))))))))) -> c(b(b(a(a(c(b(b(a(c(b(b(a(a(x1)))))))))))))) 3.91/1.84 3.91/1.84 Q is empty. 3.91/1.84 3.91/1.84 ---------------------------------------- 3.91/1.84 3.91/1.84 (3) Strip Symbols Proof (SOUND) 3.91/1.84 We were given the following TRS: 3.91/1.84 3.91/1.84 a(c(b(b(a(a(c(b(b(a(x1)))))))))) -> c(b(b(a(a(c(b(b(a(c(b(b(a(a(x1)))))))))))))) 3.91/1.84 3.91/1.84 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.91/1.84 3.91/1.84 a(c(b(b(a(a(c(b(b(x))))))))) -> c(b(b(a(a(c(b(b(a(c(b(b(a(x))))))))))))) 3.91/1.84 3.91/1.84 ---------------------------------------- 3.91/1.84 3.91/1.84 (4) 3.91/1.84 Obligation: 3.91/1.84 Q restricted rewrite system: 3.91/1.84 The TRS R consists of the following rules: 3.91/1.84 3.91/1.84 a(c(b(b(a(a(c(b(b(x))))))))) -> c(b(b(a(a(c(b(b(a(c(b(b(a(x))))))))))))) 3.91/1.84 3.91/1.84 Q is empty. 3.91/1.84 3.91/1.84 ---------------------------------------- 3.91/1.84 3.91/1.84 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.91/1.84 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.91/1.84 The following rules were used to construct the certificate: 3.91/1.84 3.91/1.84 a(c(b(b(a(a(c(b(b(x))))))))) -> c(b(b(a(a(c(b(b(a(c(b(b(a(x))))))))))))) 3.91/1.84 3.91/1.84 The certificate found is represented by the following graph. 3.91/1.84 The certificate consists of the following enumerated nodes: 3.91/1.84 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611 3.91/1.84 3.91/1.84 Node 586 is start node and node 587 is final node. 3.91/1.84 3.91/1.84 Those nodes are connected through the following edges: 3.91/1.84 3.91/1.84 * 586 to 588 labelled c_1(0)* 587 to 587 labelled #_1(0)* 588 to 589 labelled b_1(0)* 589 to 590 labelled b_1(0)* 590 to 591 labelled a_1(0)* 591 to 592 labelled a_1(0)* 592 to 593 labelled c_1(0)* 593 to 594 labelled b_1(0)* 594 to 595 labelled b_1(0)* 595 to 596 labelled a_1(0)* 595 to 600 labelled c_1(1)* 596 to 597 labelled c_1(0)* 597 to 598 labelled b_1(0)* 598 to 599 labelled b_1(0)* 599 to 587 labelled a_1(0)* 599 to 600 labelled c_1(1)* 600 to 601 labelled b_1(1)* 601 to 602 labelled b_1(1)* 602 to 603 labelled a_1(1)* 603 to 604 labelled a_1(1)* 604 to 605 labelled c_1(1)* 605 to 606 labelled b_1(1)* 606 to 607 labelled b_1(1)* 607 to 608 labelled a_1(1)* 607 to 600 labelled c_1(1)* 608 to 609 labelled c_1(1)* 609 to 610 labelled b_1(1)* 610 to 611 labelled b_1(1)* 611 to 587 labelled a_1(1)* 611 to 600 labelled c_1(1) 3.91/1.84 3.91/1.84 3.91/1.84 ---------------------------------------- 3.91/1.84 3.91/1.84 (6) 3.91/1.84 YES 3.91/1.87 EOF popout

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