details

property	value
status	complete
benchmark	abaababa-aababababaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n063.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.74933 seconds
cpu usage	3.70705
user time	3.52775
system time	0.179299
max virtual memory	3.777328E7
max residence set size	285480.0

stage attributes

key	value
starexec-result	YES

output

3.62/1.70 YES 3.62/1.71 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.62/1.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.62/1.71 3.62/1.71 3.62/1.71 Termination w.r.t. Q of the given QTRS could be proven: 3.62/1.71 3.62/1.71 (0) QTRS 3.62/1.71 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.62/1.71 (2) QTRS 3.62/1.71 (3) Strip Symbols Proof [SOUND, 0 ms] 3.62/1.71 (4) QTRS 3.62/1.71 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.62/1.71 (6) YES 3.62/1.71 3.62/1.71 3.62/1.71 ---------------------------------------- 3.62/1.71 3.62/1.71 (0) 3.62/1.71 Obligation: 3.62/1.71 Q restricted rewrite system: 3.62/1.71 The TRS R consists of the following rules: 3.62/1.71 3.62/1.71 a(b(a(a(b(a(b(a(x1)))))))) -> a(a(b(a(b(a(b(a(b(a(a(b(x1)))))))))))) 3.62/1.71 3.62/1.71 Q is empty. 3.62/1.71 3.62/1.71 ---------------------------------------- 3.62/1.71 3.62/1.71 (1) QTRS Reverse (EQUIVALENT) 3.62/1.71 We applied the QTRS Reverse Processor [REVERSE]. 3.62/1.71 ---------------------------------------- 3.62/1.71 3.62/1.71 (2) 3.62/1.71 Obligation: 3.62/1.71 Q restricted rewrite system: 3.62/1.71 The TRS R consists of the following rules: 3.62/1.71 3.62/1.71 a(b(a(b(a(a(b(a(x1)))))))) -> b(a(a(b(a(b(a(b(a(b(a(a(x1)))))))))))) 3.62/1.71 3.62/1.71 Q is empty. 3.62/1.71 3.62/1.71 ---------------------------------------- 3.62/1.71 3.62/1.71 (3) Strip Symbols Proof (SOUND) 3.62/1.71 We were given the following TRS: 3.62/1.71 3.62/1.71 a(b(a(b(a(a(b(a(x1)))))))) -> b(a(a(b(a(b(a(b(a(b(a(a(x1)))))))))))) 3.62/1.71 3.62/1.71 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.62/1.71 3.62/1.71 a(b(a(b(a(a(b(x))))))) -> b(a(a(b(a(b(a(b(a(b(a(x))))))))))) 3.62/1.71 3.62/1.71 ---------------------------------------- 3.62/1.71 3.62/1.71 (4) 3.62/1.71 Obligation: 3.62/1.71 Q restricted rewrite system: 3.62/1.71 The TRS R consists of the following rules: 3.62/1.71 3.62/1.71 a(b(a(b(a(a(b(x))))))) -> b(a(a(b(a(b(a(b(a(b(a(x))))))))))) 3.62/1.71 3.62/1.71 Q is empty. 3.62/1.71 3.62/1.71 ---------------------------------------- 3.62/1.71 3.62/1.71 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.62/1.71 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.62/1.71 The following rules were used to construct the certificate: 3.62/1.71 3.62/1.71 a(b(a(b(a(a(b(x))))))) -> b(a(a(b(a(b(a(b(a(b(a(x))))))))))) 3.62/1.71 3.62/1.71 The certificate found is represented by the following graph. 3.62/1.71 The certificate consists of the following enumerated nodes: 3.62/1.71 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485 3.62/1.71 3.62/1.71 Node 464 is start node and node 465 is final node. 3.62/1.71 3.62/1.71 Those nodes are connected through the following edges: 3.62/1.71 3.62/1.71 * 464 to 466 labelled b_1(0)* 465 to 465 labelled #_1(0)* 466 to 467 labelled a_1(0)* 467 to 468 labelled a_1(0)* 468 to 469 labelled b_1(0)* 469 to 470 labelled a_1(0)* 470 to 471 labelled b_1(0)* 471 to 472 labelled a_1(0)* 471 to 476 labelled b_1(1)* 472 to 473 labelled b_1(0)* 473 to 474 labelled a_1(0)* 473 to 476 labelled b_1(1)* 474 to 475 labelled b_1(0)* 475 to 465 labelled a_1(0)* 475 to 476 labelled b_1(1)* 476 to 477 labelled a_1(1)* 477 to 478 labelled a_1(1)* 478 to 479 labelled b_1(1)* 479 to 480 labelled a_1(1)* 480 to 481 labelled b_1(1)* 481 to 482 labelled a_1(1)* 481 to 476 labelled b_1(1)* 482 to 483 labelled b_1(1)* 483 to 484 labelled a_1(1)* 483 to 476 labelled b_1(1)* 484 to 485 labelled b_1(1)* 485 to 465 labelled a_1(1)* 485 to 476 labelled b_1(1) 3.62/1.71 3.62/1.71 3.62/1.71 ---------------------------------------- 3.62/1.71 3.62/1.71 (6) 3.62/1.71 YES 3.62/1.74 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29