details

property	value
status	complete
benchmark	abaabababa-aabababababaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n160.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.7652 seconds
cpu usage	3.93754
user time	3.76671
system time	0.170825
max virtual memory	1.9074528E7
max residence set size	332784.0

stage attributes

key	value
starexec-result	YES

output

3.78/1.71 YES 3.78/1.74 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.78/1.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.78/1.74 3.78/1.74 3.78/1.74 Termination w.r.t. Q of the given QTRS could be proven: 3.78/1.74 3.78/1.74 (0) QTRS 3.78/1.74 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.78/1.74 (2) QTRS 3.78/1.74 (3) Strip Symbols Proof [SOUND, 0 ms] 3.78/1.74 (4) QTRS 3.78/1.74 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.78/1.74 (6) YES 3.78/1.74 3.78/1.74 3.78/1.74 ---------------------------------------- 3.78/1.74 3.78/1.74 (0) 3.78/1.74 Obligation: 3.78/1.74 Q restricted rewrite system: 3.78/1.74 The TRS R consists of the following rules: 3.78/1.74 3.78/1.74 a(b(a(a(b(a(b(a(b(a(x1)))))))))) -> a(a(b(a(b(a(b(a(b(a(b(a(a(b(x1)))))))))))))) 3.78/1.74 3.78/1.74 Q is empty. 3.78/1.74 3.78/1.74 ---------------------------------------- 3.78/1.74 3.78/1.74 (1) QTRS Reverse (EQUIVALENT) 3.78/1.74 We applied the QTRS Reverse Processor [REVERSE]. 3.78/1.74 ---------------------------------------- 3.78/1.74 3.78/1.74 (2) 3.78/1.74 Obligation: 3.78/1.74 Q restricted rewrite system: 3.78/1.74 The TRS R consists of the following rules: 3.78/1.74 3.78/1.74 a(b(a(b(a(b(a(a(b(a(x1)))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(a(x1)))))))))))))) 3.78/1.74 3.78/1.74 Q is empty. 3.78/1.74 3.78/1.74 ---------------------------------------- 3.78/1.74 3.78/1.74 (3) Strip Symbols Proof (SOUND) 3.78/1.74 We were given the following TRS: 3.78/1.74 3.78/1.74 a(b(a(b(a(b(a(a(b(a(x1)))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(a(x1)))))))))))))) 3.78/1.74 3.78/1.74 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.78/1.74 3.78/1.74 a(b(a(b(a(b(a(a(b(x))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(x))))))))))))) 3.78/1.74 3.78/1.74 ---------------------------------------- 3.78/1.74 3.78/1.74 (4) 3.78/1.74 Obligation: 3.78/1.74 Q restricted rewrite system: 3.78/1.74 The TRS R consists of the following rules: 3.78/1.74 3.78/1.74 a(b(a(b(a(b(a(a(b(x))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(x))))))))))))) 3.78/1.74 3.78/1.74 Q is empty. 3.78/1.74 3.78/1.74 ---------------------------------------- 3.78/1.74 3.78/1.74 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.78/1.74 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.78/1.74 The following rules were used to construct the certificate: 3.78/1.74 3.78/1.74 a(b(a(b(a(b(a(a(b(x))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(x))))))))))))) 3.78/1.74 3.78/1.74 The certificate found is represented by the following graph. 3.78/1.74 The certificate consists of the following enumerated nodes: 3.78/1.74 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612 3.78/1.74 3.78/1.74 Node 587 is start node and node 588 is final node. 3.78/1.74 3.78/1.74 Those nodes are connected through the following edges: 3.78/1.74 3.78/1.74 * 587 to 589 labelled b_1(0)* 588 to 588 labelled #_1(0)* 589 to 590 labelled a_1(0)* 590 to 591 labelled a_1(0)* 591 to 592 labelled b_1(0)* 592 to 593 labelled a_1(0)* 593 to 594 labelled b_1(0)* 594 to 595 labelled a_1(0)* 594 to 601 labelled b_1(1)* 595 to 596 labelled b_1(0)* 596 to 597 labelled a_1(0)* 596 to 601 labelled b_1(1)* 597 to 598 labelled b_1(0)* 598 to 599 labelled a_1(0)* 598 to 601 labelled b_1(1)* 599 to 600 labelled b_1(0)* 600 to 588 labelled a_1(0)* 600 to 601 labelled b_1(1)* 601 to 602 labelled a_1(1)* 602 to 603 labelled a_1(1)* 603 to 604 labelled b_1(1)* 604 to 605 labelled a_1(1)* 605 to 606 labelled b_1(1)* 606 to 607 labelled a_1(1)* 606 to 601 labelled b_1(1)* 607 to 608 labelled b_1(1)* 608 to 609 labelled a_1(1)* 608 to 601 labelled b_1(1)* 609 to 610 labelled b_1(1)* 610 to 611 labelled a_1(1)* 610 to 601 labelled b_1(1)* 611 to 612 labelled b_1(1)* 612 to 588 labelled a_1(1)* 612 to 601 labelled b_1(1) 3.78/1.74 3.78/1.74 3.78/1.74 ---------------------------------------- 3.78/1.74 3.78/1.74 (6) 3.78/1.74 YES 3.78/1.76 EOF popout

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