details

property	value
status	complete
benchmark	ababaaaaa-aaaaaabababab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n070.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.93087 seconds
cpu usage	4.63054
user time	4.4426
system time	0.187936
max virtual memory	1.914212E7
max residence set size	385144.0

stage attributes

key	value
starexec-result	YES

output

4.33/1.85 YES 4.33/1.88 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.33/1.88 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.33/1.88 4.33/1.88 4.33/1.88 Termination w.r.t. Q of the given QTRS could be proven: 4.33/1.88 4.33/1.88 (0) QTRS 4.33/1.88 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.33/1.88 (2) QTRS 4.33/1.88 (3) Strip Symbols Proof [SOUND, 0 ms] 4.33/1.88 (4) QTRS 4.33/1.88 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 4.33/1.88 (6) YES 4.33/1.88 4.33/1.88 4.33/1.88 ---------------------------------------- 4.33/1.88 4.33/1.88 (0) 4.33/1.88 Obligation: 4.33/1.88 Q restricted rewrite system: 4.33/1.88 The TRS R consists of the following rules: 4.33/1.88 4.33/1.88 a(b(a(b(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(a(b(a(b(a(b(x1))))))))))))) 4.33/1.88 4.33/1.88 Q is empty. 4.33/1.88 4.33/1.88 ---------------------------------------- 4.33/1.88 4.33/1.88 (1) QTRS Reverse (EQUIVALENT) 4.33/1.88 We applied the QTRS Reverse Processor [REVERSE]. 4.33/1.88 ---------------------------------------- 4.33/1.88 4.33/1.88 (2) 4.33/1.88 Obligation: 4.33/1.88 Q restricted rewrite system: 4.33/1.88 The TRS R consists of the following rules: 4.33/1.88 4.33/1.88 a(a(a(a(a(b(a(b(a(x1))))))))) -> b(a(b(a(b(a(b(a(a(a(a(a(a(x1))))))))))))) 4.33/1.88 4.33/1.88 Q is empty. 4.33/1.88 4.33/1.88 ---------------------------------------- 4.33/1.88 4.33/1.88 (3) Strip Symbols Proof (SOUND) 4.33/1.88 We were given the following TRS: 4.33/1.88 4.33/1.88 a(a(a(a(a(b(a(b(a(x1))))))))) -> b(a(b(a(b(a(b(a(a(a(a(a(a(x1))))))))))))) 4.33/1.88 4.33/1.88 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.33/1.88 4.33/1.88 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(b(a(b(a(a(a(a(a(x)))))))))))) 4.33/1.88 4.33/1.88 ---------------------------------------- 4.33/1.88 4.33/1.88 (4) 4.33/1.88 Obligation: 4.33/1.88 Q restricted rewrite system: 4.33/1.88 The TRS R consists of the following rules: 4.33/1.88 4.33/1.88 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(b(a(b(a(a(a(a(a(x)))))))))))) 4.33/1.88 4.33/1.88 Q is empty. 4.33/1.88 4.33/1.88 ---------------------------------------- 4.33/1.88 4.33/1.88 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.33/1.88 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.33/1.88 The following rules were used to construct the certificate: 4.33/1.88 4.33/1.88 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(b(a(b(a(a(a(a(a(x)))))))))))) 4.33/1.88 4.33/1.88 The certificate found is represented by the following graph. 4.33/1.88 The certificate consists of the following enumerated nodes: 4.33/1.88 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555 4.33/1.88 4.33/1.88 Node 532 is start node and node 533 is final node. 4.33/1.88 4.33/1.88 Those nodes are connected through the following edges: 4.33/1.88 4.33/1.88 * 532 to 534 labelled b_1(0)* 533 to 533 labelled #_1(0)* 534 to 535 labelled a_1(0)* 535 to 536 labelled b_1(0)* 536 to 537 labelled a_1(0)* 537 to 538 labelled b_1(0)* 538 to 539 labelled a_1(0)* 539 to 540 labelled b_1(0)* 540 to 541 labelled a_1(0)* 540 to 545 labelled b_1(1)* 541 to 542 labelled a_1(0)* 541 to 545 labelled b_1(1)* 542 to 543 labelled a_1(0)* 542 to 545 labelled b_1(1)* 543 to 544 labelled a_1(0)* 543 to 545 labelled b_1(1)* 544 to 533 labelled a_1(0)* 544 to 545 labelled b_1(1)* 545 to 546 labelled a_1(1)* 546 to 547 labelled b_1(1)* 547 to 548 labelled a_1(1)* 548 to 549 labelled b_1(1)* 549 to 550 labelled a_1(1)* 550 to 551 labelled b_1(1)* 551 to 552 labelled a_1(1)* 551 to 545 labelled b_1(1)* 552 to 553 labelled a_1(1)* 552 to 545 labelled b_1(1)* 553 to 554 labelled a_1(1)* 553 to 545 labelled b_1(1)* 554 to 555 labelled a_1(1)* 554 to 545 labelled b_1(1)* 555 to 533 labelled a_1(1)* 555 to 545 labelled b_1(1) 4.33/1.88 4.33/1.88 4.33/1.88 ---------------------------------------- 4.33/1.88 4.33/1.88 (6) 4.33/1.88 YES 4.61/1.93 EOF popout

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