details

property	value
status	complete
benchmark	abaaaaaa-aaaaaaabaaaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n062.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.73628 seconds
cpu usage	3.9271
user time	3.77285
system time	0.154254
max virtual memory	1.9075556E7
max residence set size	304156.0

stage attributes

key	value
starexec-result	YES

output

3.83/1.70 YES 3.83/1.71 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.83/1.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.83/1.71 3.83/1.71 3.83/1.71 Termination w.r.t. Q of the given QTRS could be proven: 3.83/1.71 3.83/1.71 (0) QTRS 3.83/1.71 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.83/1.71 (2) QTRS 3.83/1.71 (3) Strip Symbols Proof [SOUND, 0 ms] 3.83/1.71 (4) QTRS 3.83/1.71 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.83/1.71 (6) YES 3.83/1.71 3.83/1.71 3.83/1.71 ---------------------------------------- 3.83/1.71 3.83/1.71 (0) 3.83/1.71 Obligation: 3.83/1.71 Q restricted rewrite system: 3.83/1.71 The TRS R consists of the following rules: 3.83/1.71 3.83/1.71 a(b(a(a(a(a(a(a(x1)))))))) -> a(a(a(a(a(a(a(b(a(a(a(a(b(x1))))))))))))) 3.83/1.71 3.83/1.71 Q is empty. 3.83/1.71 3.83/1.71 ---------------------------------------- 3.83/1.71 3.83/1.71 (1) QTRS Reverse (EQUIVALENT) 3.83/1.71 We applied the QTRS Reverse Processor [REVERSE]. 3.83/1.71 ---------------------------------------- 3.83/1.71 3.83/1.71 (2) 3.83/1.71 Obligation: 3.83/1.71 Q restricted rewrite system: 3.83/1.71 The TRS R consists of the following rules: 3.83/1.71 3.83/1.71 a(a(a(a(a(a(b(a(x1)))))))) -> b(a(a(a(a(b(a(a(a(a(a(a(a(x1))))))))))))) 3.83/1.71 3.83/1.71 Q is empty. 3.83/1.71 3.83/1.71 ---------------------------------------- 3.83/1.71 3.83/1.71 (3) Strip Symbols Proof (SOUND) 3.83/1.71 We were given the following TRS: 3.83/1.71 3.83/1.71 a(a(a(a(a(a(b(a(x1)))))))) -> b(a(a(a(a(b(a(a(a(a(a(a(a(x1))))))))))))) 3.83/1.71 3.83/1.71 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.83/1.71 3.83/1.71 a(a(a(a(a(a(b(x))))))) -> b(a(a(a(a(b(a(a(a(a(a(a(x)))))))))))) 3.83/1.71 3.83/1.71 ---------------------------------------- 3.83/1.71 3.83/1.71 (4) 3.83/1.71 Obligation: 3.83/1.71 Q restricted rewrite system: 3.83/1.71 The TRS R consists of the following rules: 3.83/1.71 3.83/1.71 a(a(a(a(a(a(b(x))))))) -> b(a(a(a(a(b(a(a(a(a(a(a(x)))))))))))) 3.83/1.71 3.83/1.71 Q is empty. 3.83/1.71 3.83/1.71 ---------------------------------------- 3.83/1.71 3.83/1.71 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.83/1.71 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.83/1.71 The following rules were used to construct the certificate: 3.83/1.71 3.83/1.71 a(a(a(a(a(a(b(x))))))) -> b(a(a(a(a(b(a(a(a(a(a(a(x)))))))))))) 3.83/1.71 3.83/1.71 The certificate found is represented by the following graph. 3.83/1.71 The certificate consists of the following enumerated nodes: 3.83/1.71 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447 3.83/1.71 3.83/1.71 Node 424 is start node and node 425 is final node. 3.83/1.71 3.83/1.71 Those nodes are connected through the following edges: 3.83/1.71 3.83/1.71 * 424 to 426 labelled b_1(0)* 425 to 425 labelled #_1(0)* 426 to 427 labelled a_1(0)* 427 to 428 labelled a_1(0)* 428 to 429 labelled a_1(0)* 429 to 430 labelled a_1(0)* 430 to 431 labelled b_1(0)* 431 to 432 labelled a_1(0)* 431 to 437 labelled b_1(1)* 432 to 433 labelled a_1(0)* 432 to 437 labelled b_1(1)* 433 to 434 labelled a_1(0)* 433 to 437 labelled b_1(1)* 434 to 435 labelled a_1(0)* 434 to 437 labelled b_1(1)* 435 to 436 labelled a_1(0)* 435 to 437 labelled b_1(1)* 436 to 425 labelled a_1(0)* 436 to 437 labelled b_1(1)* 437 to 438 labelled a_1(1)* 438 to 439 labelled a_1(1)* 439 to 440 labelled a_1(1)* 440 to 441 labelled a_1(1)* 441 to 442 labelled b_1(1)* 442 to 443 labelled a_1(1)* 442 to 437 labelled b_1(1)* 443 to 444 labelled a_1(1)* 443 to 437 labelled b_1(1)* 444 to 445 labelled a_1(1)* 444 to 437 labelled b_1(1)* 445 to 446 labelled a_1(1)* 445 to 437 labelled b_1(1)* 446 to 447 labelled a_1(1)* 446 to 437 labelled b_1(1)* 447 to 425 labelled a_1(1)* 447 to 437 labelled b_1(1) 3.83/1.71 3.83/1.71 3.83/1.71 ---------------------------------------- 3.83/1.71 3.83/1.71 (6) 3.83/1.71 YES 3.83/1.73 EOF popout

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