details

property	value
status	complete
benchmark	abccaaaa-aaaaabccaaabcc.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.71677 seconds
cpu usage	3.76559
user time	3.60516
system time	0.16043
max virtual memory	1.914212E7
max residence set size	297788.0

stage attributes

key	value
starexec-result	YES

output

3.54/1.65 YES 3.54/1.68 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.54/1.68 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.54/1.68 3.54/1.68 3.54/1.68 Termination w.r.t. Q of the given QTRS could be proven: 3.54/1.68 3.54/1.68 (0) QTRS 3.54/1.68 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.54/1.68 (2) QTRS 3.54/1.68 (3) Strip Symbols Proof [SOUND, 0 ms] 3.54/1.68 (4) QTRS 3.54/1.68 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.54/1.68 (6) YES 3.54/1.68 3.54/1.68 3.54/1.68 ---------------------------------------- 3.54/1.68 3.54/1.68 (0) 3.54/1.68 Obligation: 3.54/1.68 Q restricted rewrite system: 3.54/1.68 The TRS R consists of the following rules: 3.54/1.68 3.54/1.68 a(b(c(c(a(a(a(a(x1)))))))) -> a(a(a(a(a(b(c(c(a(a(a(b(c(c(x1)))))))))))))) 3.54/1.68 3.54/1.68 Q is empty. 3.54/1.68 3.54/1.68 ---------------------------------------- 3.54/1.68 3.54/1.68 (1) QTRS Reverse (EQUIVALENT) 3.54/1.68 We applied the QTRS Reverse Processor [REVERSE]. 3.54/1.68 ---------------------------------------- 3.54/1.68 3.54/1.68 (2) 3.54/1.68 Obligation: 3.54/1.68 Q restricted rewrite system: 3.54/1.68 The TRS R consists of the following rules: 3.54/1.68 3.54/1.68 a(a(a(a(c(c(b(a(x1)))))))) -> c(c(b(a(a(a(c(c(b(a(a(a(a(a(x1)))))))))))))) 3.54/1.68 3.54/1.68 Q is empty. 3.54/1.68 3.54/1.68 ---------------------------------------- 3.54/1.68 3.54/1.68 (3) Strip Symbols Proof (SOUND) 3.54/1.68 We were given the following TRS: 3.54/1.68 3.54/1.68 a(a(a(a(c(c(b(a(x1)))))))) -> c(c(b(a(a(a(c(c(b(a(a(a(a(a(x1)))))))))))))) 3.54/1.68 3.54/1.68 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.54/1.68 3.54/1.68 a(a(a(a(c(c(b(x))))))) -> c(c(b(a(a(a(c(c(b(a(a(a(a(x))))))))))))) 3.54/1.68 3.54/1.68 ---------------------------------------- 3.54/1.68 3.54/1.68 (4) 3.54/1.68 Obligation: 3.54/1.68 Q restricted rewrite system: 3.54/1.68 The TRS R consists of the following rules: 3.54/1.68 3.54/1.68 a(a(a(a(c(c(b(x))))))) -> c(c(b(a(a(a(c(c(b(a(a(a(a(x))))))))))))) 3.54/1.68 3.54/1.68 Q is empty. 3.54/1.68 3.54/1.68 ---------------------------------------- 3.54/1.68 3.54/1.68 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.54/1.68 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.54/1.68 The following rules were used to construct the certificate: 3.54/1.68 3.54/1.68 a(a(a(a(c(c(b(x))))))) -> c(c(b(a(a(a(c(c(b(a(a(a(a(x))))))))))))) 3.54/1.68 3.54/1.68 The certificate found is represented by the following graph. 3.54/1.68 The certificate consists of the following enumerated nodes: 3.54/1.68 474, 475, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512 3.54/1.68 3.54/1.68 Node 474 is start node and node 475 is final node. 3.54/1.68 3.54/1.68 Those nodes are connected through the following edges: 3.54/1.68 3.54/1.68 * 474 to 489 labelled c_1(0)* 475 to 475 labelled #_1(0)* 489 to 490 labelled c_1(0)* 490 to 491 labelled b_1(0)* 491 to 492 labelled a_1(0)* 492 to 493 labelled a_1(0)* 493 to 494 labelled a_1(0)* 494 to 495 labelled c_1(0)* 495 to 496 labelled c_1(0)* 496 to 497 labelled b_1(0)* 497 to 498 labelled a_1(0)* 497 to 501 labelled c_1(1)* 498 to 499 labelled a_1(0)* 498 to 501 labelled c_1(1)* 499 to 500 labelled a_1(0)* 499 to 501 labelled c_1(1)* 500 to 475 labelled a_1(0)* 500 to 501 labelled c_1(1)* 501 to 502 labelled c_1(1)* 502 to 503 labelled b_1(1)* 503 to 504 labelled a_1(1)* 504 to 505 labelled a_1(1)* 505 to 506 labelled a_1(1)* 506 to 507 labelled c_1(1)* 507 to 508 labelled c_1(1)* 508 to 509 labelled b_1(1)* 509 to 510 labelled a_1(1)* 509 to 501 labelled c_1(1)* 510 to 511 labelled a_1(1)* 510 to 501 labelled c_1(1)* 511 to 512 labelled a_1(1)* 511 to 501 labelled c_1(1)* 512 to 475 labelled a_1(1)* 512 to 501 labelled c_1(1) 3.54/1.68 3.54/1.68 3.54/1.68 ---------------------------------------- 3.54/1.68 3.54/1.68 (6) 3.54/1.68 YES 3.74/1.71 EOF popout

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