details

property	value
status	complete
benchmark	abaaaa-aaaaababaabaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.08382 seconds
cpu usage	5.04118
user time	4.76231
system time	0.27887
max virtual memory	1.9208684E7
max residence set size	670628.0

stage attributes

key	value
starexec-result	YES

output

4.49/1.98 YES 4.95/2.03 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 4.95/2.03 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.95/2.03 4.95/2.03 4.95/2.03 Termination w.r.t. Q of the given QTRS could be proven: 4.95/2.03 4.95/2.03 (0) QTRS 4.95/2.03 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.95/2.03 (2) QTRS 4.95/2.03 (3) Strip Symbols Proof [SOUND, 0 ms] 4.95/2.03 (4) QTRS 4.95/2.03 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 5 ms] 4.95/2.03 (6) YES 4.95/2.03 4.95/2.03 4.95/2.03 ---------------------------------------- 4.95/2.03 4.95/2.03 (0) 4.95/2.03 Obligation: 4.95/2.03 Q restricted rewrite system: 4.95/2.03 The TRS R consists of the following rules: 4.95/2.03 4.95/2.03 a(b(a(a(a(a(x1)))))) -> a(a(a(a(a(b(a(b(a(a(b(a(a(b(x1)))))))))))))) 4.95/2.03 4.95/2.03 Q is empty. 4.95/2.03 4.95/2.03 ---------------------------------------- 4.95/2.03 4.95/2.03 (1) QTRS Reverse (EQUIVALENT) 4.95/2.03 We applied the QTRS Reverse Processor [REVERSE]. 4.95/2.03 ---------------------------------------- 4.95/2.03 4.95/2.03 (2) 4.95/2.03 Obligation: 4.95/2.03 Q restricted rewrite system: 4.95/2.03 The TRS R consists of the following rules: 4.95/2.03 4.95/2.03 a(a(a(a(b(a(x1)))))) -> b(a(a(b(a(a(b(a(b(a(a(a(a(a(x1)))))))))))))) 4.95/2.03 4.95/2.03 Q is empty. 4.95/2.03 4.95/2.03 ---------------------------------------- 4.95/2.03 4.95/2.03 (3) Strip Symbols Proof (SOUND) 4.95/2.03 We were given the following TRS: 4.95/2.03 4.95/2.03 a(a(a(a(b(a(x1)))))) -> b(a(a(b(a(a(b(a(b(a(a(a(a(a(x1)))))))))))))) 4.95/2.03 4.95/2.03 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.95/2.03 4.95/2.03 a(a(a(a(b(x))))) -> b(a(a(b(a(a(b(a(b(a(a(a(a(x))))))))))))) 4.95/2.03 4.95/2.03 ---------------------------------------- 4.95/2.03 4.95/2.03 (4) 4.95/2.03 Obligation: 4.95/2.03 Q restricted rewrite system: 4.95/2.03 The TRS R consists of the following rules: 4.95/2.03 4.95/2.03 a(a(a(a(b(x))))) -> b(a(a(b(a(a(b(a(b(a(a(a(a(x))))))))))))) 4.95/2.03 4.95/2.03 Q is empty. 4.95/2.03 4.95/2.03 ---------------------------------------- 4.95/2.03 4.95/2.03 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.95/2.03 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.95/2.03 The following rules were used to construct the certificate: 4.95/2.03 4.95/2.03 a(a(a(a(b(x))))) -> b(a(a(b(a(a(b(a(b(a(a(a(a(x))))))))))))) 4.95/2.03 4.95/2.03 The certificate found is represented by the following graph. 4.95/2.03 The certificate consists of the following enumerated nodes: 4.95/2.03 421, 422, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555 4.95/2.03 4.95/2.03 Node 421 is start node and node 422 is final node. 4.95/2.03 4.95/2.03 Those nodes are connected through the following edges: 4.95/2.03 4.95/2.03 * 421 to 527 labelled b_1(0)* 422 to 422 labelled #_1(0)* 527 to 528 labelled a_1(0)* 528 to 529 labelled a_1(0)* 529 to 530 labelled b_1(0)* 530 to 531 labelled a_1(0)* 531 to 532 labelled a_1(0)* 532 to 533 labelled b_1(0)* 533 to 534 labelled a_1(0)* 534 to 535 labelled b_1(0)* 535 to 536 labelled a_1(0)* 535 to 544 labelled b_1(1)* 536 to 537 labelled a_1(0)* 536 to 544 labelled b_1(1)* 537 to 538 labelled a_1(0)* 537 to 544 labelled b_1(1)* 538 to 422 labelled a_1(0)* 538 to 544 labelled b_1(1)* 544 to 545 labelled a_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 a_1(1)* 549 to 550 labelled b_1(1)* 550 to 551 labelled a_1(1)* 551 to 552 labelled b_1(1)* 552 to 553 labelled a_1(1)* 552 to 544 labelled b_1(1)* 553 to 554 labelled a_1(1)* 553 to 544 labelled b_1(1)* 554 to 555 labelled a_1(1)* 554 to 544 labelled b_1(1)* 555 to 422 labelled a_1(1)* 555 to 544 labelled b_1(1) 4.95/2.03 4.95/2.03 4.95/2.03 ---------------------------------------- 4.95/2.03 4.95/2.03 (6) 4.95/2.03 YES 4.95/2.08 EOF popout

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