details

property	value
status	complete
benchmark	ababaaaaa-aaaaaababaabab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n127.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.90762 seconds
cpu usage	4.40294
user time	4.15832
system time	0.244622
max virtual memory	1.9008992E7
max residence set size	430168.0

stage attributes

key	value
starexec-result	YES

output

4.08/1.85 YES 4.08/1.87 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.08/1.87 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.08/1.87 4.08/1.87 4.08/1.87 Termination w.r.t. Q of the given QTRS could be proven: 4.08/1.87 4.08/1.87 (0) QTRS 4.08/1.87 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.08/1.87 (2) QTRS 4.08/1.87 (3) Strip Symbols Proof [SOUND, 0 ms] 4.08/1.87 (4) QTRS 4.08/1.87 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 4.08/1.87 (6) YES 4.08/1.87 4.08/1.87 4.08/1.87 ---------------------------------------- 4.08/1.87 4.08/1.87 (0) 4.08/1.87 Obligation: 4.08/1.87 Q restricted rewrite system: 4.08/1.87 The TRS R consists of the following rules: 4.08/1.87 4.08/1.87 a(b(a(b(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(a(b(a(a(b(a(b(x1)))))))))))))) 4.08/1.87 4.08/1.87 Q is empty. 4.08/1.87 4.08/1.87 ---------------------------------------- 4.08/1.87 4.08/1.87 (1) QTRS Reverse (EQUIVALENT) 4.08/1.87 We applied the QTRS Reverse Processor [REVERSE]. 4.08/1.87 ---------------------------------------- 4.08/1.87 4.08/1.87 (2) 4.08/1.87 Obligation: 4.08/1.87 Q restricted rewrite system: 4.08/1.87 The TRS R consists of the following rules: 4.08/1.87 4.08/1.87 a(a(a(a(a(b(a(b(a(x1))))))))) -> b(a(b(a(a(b(a(b(a(a(a(a(a(a(x1)))))))))))))) 4.08/1.87 4.08/1.87 Q is empty. 4.08/1.87 4.08/1.87 ---------------------------------------- 4.08/1.87 4.08/1.87 (3) Strip Symbols Proof (SOUND) 4.08/1.87 We were given the following TRS: 4.08/1.87 4.08/1.87 a(a(a(a(a(b(a(b(a(x1))))))))) -> b(a(b(a(a(b(a(b(a(a(a(a(a(a(x1)))))))))))))) 4.08/1.87 4.08/1.87 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.08/1.87 4.08/1.87 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(a(b(a(b(a(a(a(a(a(x))))))))))))) 4.08/1.87 4.08/1.87 ---------------------------------------- 4.08/1.87 4.08/1.87 (4) 4.08/1.87 Obligation: 4.08/1.87 Q restricted rewrite system: 4.08/1.87 The TRS R consists of the following rules: 4.08/1.87 4.08/1.87 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(a(b(a(b(a(a(a(a(a(x))))))))))))) 4.08/1.87 4.08/1.87 Q is empty. 4.08/1.87 4.08/1.87 ---------------------------------------- 4.08/1.87 4.08/1.87 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.08/1.87 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.08/1.87 The following rules were used to construct the certificate: 4.08/1.87 4.08/1.87 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(a(b(a(b(a(a(a(a(a(x))))))))))))) 4.08/1.87 4.08/1.87 The certificate found is represented by the following graph. 4.08/1.87 The certificate consists of the following enumerated nodes: 4.08/1.87 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538 4.08/1.87 4.08/1.87 Node 513 is start node and node 514 is final node. 4.08/1.87 4.08/1.87 Those nodes are connected through the following edges: 4.08/1.87 4.08/1.87 * 513 to 515 labelled b_1(0)* 514 to 514 labelled #_1(0)* 515 to 516 labelled a_1(0)* 516 to 517 labelled b_1(0)* 517 to 518 labelled a_1(0)* 518 to 519 labelled a_1(0)* 519 to 520 labelled b_1(0)* 520 to 521 labelled a_1(0)* 521 to 522 labelled b_1(0)* 522 to 523 labelled a_1(0)* 522 to 527 labelled b_1(1)* 523 to 524 labelled a_1(0)* 523 to 527 labelled b_1(1)* 524 to 525 labelled a_1(0)* 524 to 527 labelled b_1(1)* 525 to 526 labelled a_1(0)* 525 to 527 labelled b_1(1)* 526 to 514 labelled a_1(0)* 526 to 527 labelled b_1(1)* 527 to 528 labelled a_1(1)* 528 to 529 labelled b_1(1)* 529 to 530 labelled a_1(1)* 530 to 531 labelled a_1(1)* 531 to 532 labelled b_1(1)* 532 to 533 labelled a_1(1)* 533 to 534 labelled b_1(1)* 534 to 535 labelled a_1(1)* 534 to 527 labelled b_1(1)* 535 to 536 labelled a_1(1)* 535 to 527 labelled b_1(1)* 536 to 537 labelled a_1(1)* 536 to 527 labelled b_1(1)* 537 to 538 labelled a_1(1)* 537 to 527 labelled b_1(1)* 538 to 514 labelled a_1(1)* 538 to 527 labelled b_1(1) 4.08/1.87 4.08/1.87 4.08/1.87 ---------------------------------------- 4.08/1.87 4.08/1.87 (6) 4.08/1.87 YES 4.38/1.90 EOF popout

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