details

property	value
status	complete
benchmark	abaaaaabaa-aaabaaabaaaaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n100.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.86517 seconds
cpu usage	4.14438
user time	3.94267
system time	0.201714
max virtual memory	1.9074752E7
max residence set size	368260.0

stage attributes

key	value
starexec-result	YES

output

3.80/1.81 YES 3.80/1.82 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.80/1.82 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.80/1.82 3.80/1.82 3.80/1.82 Termination w.r.t. Q of the given QTRS could be proven: 3.80/1.82 3.80/1.82 (0) QTRS 3.80/1.82 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.80/1.82 (2) QTRS 3.80/1.82 (3) Strip Symbols Proof [SOUND, 0 ms] 3.80/1.82 (4) QTRS 3.80/1.82 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.80/1.82 (6) YES 3.80/1.82 3.80/1.82 3.80/1.82 ---------------------------------------- 3.80/1.82 3.80/1.82 (0) 3.80/1.82 Obligation: 3.80/1.82 Q restricted rewrite system: 3.80/1.82 The TRS R consists of the following rules: 3.80/1.82 3.80/1.82 a(b(a(a(a(a(a(b(a(a(x1)))))))))) -> a(a(a(b(a(a(a(b(a(a(a(a(a(b(x1)))))))))))))) 3.80/1.82 3.80/1.82 Q is empty. 3.80/1.82 3.80/1.82 ---------------------------------------- 3.80/1.82 3.80/1.82 (1) QTRS Reverse (EQUIVALENT) 3.80/1.82 We applied the QTRS Reverse Processor [REVERSE]. 3.80/1.82 ---------------------------------------- 3.80/1.82 3.80/1.82 (2) 3.80/1.82 Obligation: 3.80/1.82 Q restricted rewrite system: 3.80/1.82 The TRS R consists of the following rules: 3.80/1.82 3.80/1.82 a(a(b(a(a(a(a(a(b(a(x1)))))))))) -> b(a(a(a(a(a(b(a(a(a(b(a(a(a(x1)))))))))))))) 3.80/1.82 3.80/1.82 Q is empty. 3.80/1.82 3.80/1.82 ---------------------------------------- 3.80/1.82 3.80/1.82 (3) Strip Symbols Proof (SOUND) 3.80/1.82 We were given the following TRS: 3.80/1.82 3.80/1.82 a(a(b(a(a(a(a(a(b(a(x1)))))))))) -> b(a(a(a(a(a(b(a(a(a(b(a(a(a(x1)))))))))))))) 3.80/1.82 3.80/1.82 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.80/1.82 3.80/1.82 a(a(b(a(a(a(a(a(b(x))))))))) -> b(a(a(a(a(a(b(a(a(a(b(a(a(x))))))))))))) 3.80/1.82 3.80/1.82 ---------------------------------------- 3.80/1.82 3.80/1.82 (4) 3.80/1.82 Obligation: 3.80/1.82 Q restricted rewrite system: 3.80/1.82 The TRS R consists of the following rules: 3.80/1.82 3.80/1.82 a(a(b(a(a(a(a(a(b(x))))))))) -> b(a(a(a(a(a(b(a(a(a(b(a(a(x))))))))))))) 3.80/1.82 3.80/1.82 Q is empty. 3.80/1.82 3.80/1.82 ---------------------------------------- 3.80/1.82 3.80/1.82 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.80/1.82 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.80/1.82 The following rules were used to construct the certificate: 3.80/1.82 3.80/1.82 a(a(b(a(a(a(a(a(b(x))))))))) -> b(a(a(a(a(a(b(a(a(a(b(a(a(x))))))))))))) 3.80/1.82 3.80/1.82 The certificate found is represented by the following graph. 3.80/1.82 The certificate consists of the following enumerated nodes: 3.80/1.82 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664 3.80/1.82 3.80/1.82 Node 639 is start node and node 640 is final node. 3.80/1.82 3.80/1.82 Those nodes are connected through the following edges: 3.80/1.82 3.80/1.82 * 639 to 641 labelled b_1(0)* 640 to 640 labelled #_1(0)* 641 to 642 labelled a_1(0)* 642 to 643 labelled a_1(0)* 643 to 644 labelled a_1(0)* 644 to 645 labelled a_1(0)* 645 to 646 labelled a_1(0)* 646 to 647 labelled b_1(0)* 647 to 648 labelled a_1(0)* 648 to 649 labelled a_1(0)* 648 to 653 labelled b_1(1)* 649 to 650 labelled a_1(0)* 650 to 651 labelled b_1(0)* 651 to 652 labelled a_1(0)* 651 to 653 labelled b_1(1)* 652 to 640 labelled a_1(0)* 652 to 653 labelled b_1(1)* 653 to 654 labelled a_1(1)* 654 to 655 labelled a_1(1)* 655 to 656 labelled a_1(1)* 656 to 657 labelled a_1(1)* 657 to 658 labelled a_1(1)* 658 to 659 labelled b_1(1)* 659 to 660 labelled a_1(1)* 660 to 661 labelled a_1(1)* 660 to 653 labelled b_1(1)* 661 to 662 labelled a_1(1)* 662 to 663 labelled b_1(1)* 663 to 664 labelled a_1(1)* 663 to 653 labelled b_1(1)* 664 to 640 labelled a_1(1)* 664 to 653 labelled b_1(1) 3.80/1.82 3.80/1.82 3.80/1.82 ---------------------------------------- 3.80/1.82 3.80/1.82 (6) 3.80/1.82 YES 4.11/1.86 EOF popout

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