details

property	value
status	complete
benchmark	abaaaaa-aaaaaabaaaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.75132 seconds
cpu usage	3.55171
user time	3.394
system time	0.157709
max virtual memory	1.9206856E7
max residence set size	288504.0

stage attributes

key	value
starexec-result	YES

output

3.16/1.69 YES 3.16/1.71 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.16/1.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.16/1.71 3.16/1.71 3.16/1.71 Termination w.r.t. Q of the given QTRS could be proven: 3.16/1.71 3.16/1.71 (0) QTRS 3.16/1.71 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.16/1.71 (2) QTRS 3.16/1.71 (3) Strip Symbols Proof [SOUND, 0 ms] 3.16/1.71 (4) QTRS 3.16/1.71 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.16/1.71 (6) YES 3.16/1.71 3.16/1.71 3.16/1.71 ---------------------------------------- 3.16/1.71 3.16/1.71 (0) 3.16/1.71 Obligation: 3.16/1.71 Q restricted rewrite system: 3.16/1.71 The TRS R consists of the following rules: 3.16/1.71 3.16/1.71 a(b(a(a(a(a(a(x1))))))) -> a(a(a(a(a(a(b(a(a(a(a(b(x1)))))))))))) 3.16/1.71 3.16/1.71 Q is empty. 3.16/1.71 3.16/1.71 ---------------------------------------- 3.16/1.71 3.16/1.71 (1) QTRS Reverse (EQUIVALENT) 3.16/1.71 We applied the QTRS Reverse Processor [REVERSE]. 3.16/1.71 ---------------------------------------- 3.16/1.71 3.16/1.71 (2) 3.16/1.71 Obligation: 3.16/1.71 Q restricted rewrite system: 3.16/1.71 The TRS R consists of the following rules: 3.16/1.71 3.16/1.71 a(a(a(a(a(b(a(x1))))))) -> b(a(a(a(a(b(a(a(a(a(a(a(x1)))))))))))) 3.16/1.71 3.16/1.71 Q is empty. 3.16/1.71 3.16/1.71 ---------------------------------------- 3.16/1.71 3.16/1.71 (3) Strip Symbols Proof (SOUND) 3.16/1.71 We were given the following TRS: 3.16/1.71 3.16/1.71 a(a(a(a(a(b(a(x1))))))) -> b(a(a(a(a(b(a(a(a(a(a(a(x1)))))))))))) 3.16/1.71 3.16/1.71 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.16/1.71 3.16/1.71 a(a(a(a(a(b(x)))))) -> b(a(a(a(a(b(a(a(a(a(a(x))))))))))) 3.16/1.71 3.16/1.71 ---------------------------------------- 3.16/1.71 3.16/1.71 (4) 3.16/1.71 Obligation: 3.16/1.71 Q restricted rewrite system: 3.16/1.71 The TRS R consists of the following rules: 3.16/1.71 3.16/1.71 a(a(a(a(a(b(x)))))) -> b(a(a(a(a(b(a(a(a(a(a(x))))))))))) 3.16/1.71 3.16/1.71 Q is empty. 3.16/1.71 3.16/1.71 ---------------------------------------- 3.16/1.71 3.16/1.71 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.16/1.71 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.16/1.71 The following rules were used to construct the certificate: 3.16/1.71 3.16/1.71 a(a(a(a(a(b(x)))))) -> b(a(a(a(a(b(a(a(a(a(a(x))))))))))) 3.16/1.71 3.16/1.71 The certificate found is represented by the following graph. 3.16/1.71 The certificate consists of the following enumerated nodes: 3.16/1.71 398, 399, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474 3.16/1.71 3.16/1.71 Node 398 is start node and node 399 is final node. 3.16/1.71 3.16/1.71 Those nodes are connected through the following edges: 3.16/1.71 3.16/1.71 * 398 to 455 labelled b_1(0)* 399 to 399 labelled #_1(0)* 455 to 456 labelled a_1(0)* 456 to 457 labelled a_1(0)* 457 to 458 labelled a_1(0)* 458 to 459 labelled a_1(0)* 459 to 460 labelled b_1(0)* 460 to 461 labelled a_1(0)* 460 to 465 labelled b_1(1)* 461 to 462 labelled a_1(0)* 461 to 465 labelled b_1(1)* 462 to 463 labelled a_1(0)* 462 to 465 labelled b_1(1)* 463 to 464 labelled a_1(0)* 463 to 465 labelled b_1(1)* 464 to 399 labelled a_1(0)* 464 to 465 labelled b_1(1)* 465 to 466 labelled a_1(1)* 466 to 467 labelled a_1(1)* 467 to 468 labelled a_1(1)* 468 to 469 labelled a_1(1)* 469 to 470 labelled b_1(1)* 470 to 471 labelled a_1(1)* 470 to 465 labelled b_1(1)* 471 to 472 labelled a_1(1)* 471 to 465 labelled b_1(1)* 472 to 473 labelled a_1(1)* 472 to 465 labelled b_1(1)* 473 to 474 labelled a_1(1)* 473 to 465 labelled b_1(1)* 474 to 399 labelled a_1(1)* 474 to 465 labelled b_1(1) 3.16/1.71 3.16/1.71 3.16/1.71 ---------------------------------------- 3.16/1.71 3.16/1.71 (6) 3.16/1.71 YES 3.50/1.75 EOF popout

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