details

property	value
status	complete
benchmark	abaaaaaaa-aaaaaaaabaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n001.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.9565 seconds
cpu usage	4.47129
user time	4.28379
system time	0.187493
max virtual memory	3.7773736E7
max residence set size	376736.0

stage attributes

key	value
starexec-result	YES

output

4.00/1.90 YES 4.38/1.91 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.38/1.91 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.38/1.91 4.38/1.91 4.38/1.91 Termination w.r.t. Q of the given QTRS could be proven: 4.38/1.91 4.38/1.91 (0) QTRS 4.38/1.91 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.38/1.91 (2) QTRS 4.38/1.91 (3) Strip Symbols Proof [SOUND, 0 ms] 4.38/1.91 (4) QTRS 4.38/1.91 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 4.38/1.91 (6) YES 4.38/1.91 4.38/1.91 4.38/1.91 ---------------------------------------- 4.38/1.91 4.38/1.91 (0) 4.38/1.91 Obligation: 4.38/1.91 Q restricted rewrite system: 4.38/1.91 The TRS R consists of the following rules: 4.38/1.91 4.38/1.91 a(b(a(a(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(a(a(b(a(a(b(x1)))))))))))) 4.38/1.91 4.38/1.91 Q is empty. 4.38/1.91 4.38/1.91 ---------------------------------------- 4.38/1.91 4.38/1.91 (1) QTRS Reverse (EQUIVALENT) 4.38/1.91 We applied the QTRS Reverse Processor [REVERSE]. 4.38/1.91 ---------------------------------------- 4.38/1.91 4.38/1.91 (2) 4.38/1.91 Obligation: 4.38/1.91 Q restricted rewrite system: 4.38/1.91 The TRS R consists of the following rules: 4.38/1.91 4.38/1.91 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(a(b(a(a(a(a(a(a(a(a(x1)))))))))))) 4.38/1.91 4.38/1.91 Q is empty. 4.38/1.91 4.38/1.91 ---------------------------------------- 4.38/1.91 4.38/1.91 (3) Strip Symbols Proof (SOUND) 4.38/1.91 We were given the following TRS: 4.38/1.91 4.38/1.91 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(a(b(a(a(a(a(a(a(a(a(x1)))))))))))) 4.38/1.91 4.38/1.91 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.38/1.91 4.38/1.91 a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(b(a(a(a(a(a(a(a(x))))))))))) 4.38/1.91 4.38/1.91 ---------------------------------------- 4.38/1.91 4.38/1.91 (4) 4.38/1.91 Obligation: 4.38/1.91 Q restricted rewrite system: 4.38/1.91 The TRS R consists of the following rules: 4.38/1.91 4.38/1.91 a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(b(a(a(a(a(a(a(a(x))))))))))) 4.38/1.91 4.38/1.91 Q is empty. 4.38/1.91 4.38/1.91 ---------------------------------------- 4.38/1.91 4.38/1.91 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.38/1.91 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.38/1.91 The following rules were used to construct the certificate: 4.38/1.91 4.38/1.91 a(a(a(a(a(a(a(b(x)))))))) -> b(a(a(b(a(a(a(a(a(a(a(x))))))))))) 4.38/1.91 4.38/1.91 The certificate found is represented by the following graph. 4.38/1.91 The certificate consists of the following enumerated nodes: 4.38/1.91 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496 4.38/1.91 4.38/1.91 Node 475 is start node and node 476 is final node. 4.38/1.91 4.38/1.91 Those nodes are connected through the following edges: 4.38/1.91 4.38/1.91 * 475 to 477 labelled b_1(0)* 476 to 476 labelled #_1(0)* 477 to 478 labelled a_1(0)* 478 to 479 labelled a_1(0)* 479 to 480 labelled b_1(0)* 480 to 481 labelled a_1(0)* 480 to 487 labelled b_1(1)* 481 to 482 labelled a_1(0)* 481 to 487 labelled b_1(1)* 482 to 483 labelled a_1(0)* 482 to 487 labelled b_1(1)* 483 to 484 labelled a_1(0)* 483 to 487 labelled b_1(1)* 484 to 485 labelled a_1(0)* 484 to 487 labelled b_1(1)* 485 to 486 labelled a_1(0)* 485 to 487 labelled b_1(1)* 486 to 476 labelled a_1(0)* 486 to 487 labelled b_1(1)* 487 to 488 labelled a_1(1)* 488 to 489 labelled a_1(1)* 489 to 490 labelled b_1(1)* 490 to 491 labelled a_1(1)* 490 to 487 labelled b_1(1)* 491 to 492 labelled a_1(1)* 491 to 487 labelled b_1(1)* 492 to 493 labelled a_1(1)* 492 to 487 labelled b_1(1)* 493 to 494 labelled a_1(1)* 493 to 487 labelled b_1(1)* 494 to 495 labelled a_1(1)* 494 to 487 labelled b_1(1)* 495 to 496 labelled a_1(1)* 495 to 487 labelled b_1(1)* 496 to 476 labelled a_1(1)* 496 to 487 labelled b_1(1) 4.38/1.91 4.38/1.91 4.38/1.91 ---------------------------------------- 4.38/1.91 4.38/1.91 (6) 4.38/1.91 YES 4.43/1.95 EOF popout

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