details

property	value
status	complete
benchmark	abaaaaaaa-aaaaaaaabaabab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n089.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.88111 seconds
cpu usage	8.07657
user time	7.72928
system time	0.347286
max virtual memory	1.9208684E7
max residence set size	313224.0

stage attributes

key	value
starexec-result	YES

output

3.66/1.77 YES 3.94/1.81 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.94/1.81 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.94/1.81 3.94/1.81 3.94/1.81 Termination w.r.t. Q of the given QTRS could be proven: 3.94/1.81 3.94/1.81 (0) QTRS 3.94/1.81 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.94/1.81 (2) QTRS 3.94/1.81 (3) Strip Symbols Proof [SOUND, 0 ms] 3.94/1.81 (4) QTRS 3.94/1.81 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.94/1.81 (6) YES 3.94/1.81 3.94/1.81 3.94/1.81 ---------------------------------------- 3.94/1.81 3.94/1.81 (0) 3.94/1.81 Obligation: 3.94/1.81 Q restricted rewrite system: 3.94/1.81 The TRS R consists of the following rules: 3.94/1.81 3.94/1.81 a(b(a(a(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(a(a(b(a(a(b(a(b(x1)))))))))))))) 3.94/1.81 3.94/1.81 Q is empty. 3.94/1.81 3.94/1.81 ---------------------------------------- 3.94/1.81 3.94/1.81 (1) QTRS Reverse (EQUIVALENT) 3.94/1.81 We applied the QTRS Reverse Processor [REVERSE]. 3.94/1.81 ---------------------------------------- 3.94/1.81 3.94/1.81 (2) 3.94/1.81 Obligation: 3.94/1.81 Q restricted rewrite system: 3.94/1.81 The TRS R consists of the following rules: 3.94/1.81 3.94/1.81 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(a(x1)))))))))))))) 3.94/1.81 3.94/1.81 Q is empty. 3.94/1.81 3.94/1.81 ---------------------------------------- 3.94/1.81 3.94/1.81 (3) Strip Symbols Proof (SOUND) 3.94/1.81 We were given the following TRS: 3.94/1.81 3.94/1.81 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(a(x1)))))))))))))) 3.94/1.81 3.94/1.81 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.94/1.81 3.94/1.81 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(x))))))))))))) 3.94/1.81 3.94/1.81 ---------------------------------------- 3.94/1.81 3.94/1.81 (4) 3.94/1.81 Obligation: 3.94/1.81 Q restricted rewrite system: 3.94/1.81 The TRS R consists of the following rules: 3.94/1.81 3.94/1.81 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(x))))))))))))) 3.94/1.81 3.94/1.81 Q is empty. 3.94/1.81 3.94/1.81 ---------------------------------------- 3.94/1.81 3.94/1.81 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.94/1.81 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.94/1.81 The following rules were used to construct the certificate: 3.94/1.81 3.94/1.81 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(x))))))))))))) 3.94/1.81 3.94/1.81 The certificate found is represented by the following graph. 3.94/1.81 The certificate consists of the following enumerated nodes: 3.94/1.81 349, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389 3.94/1.81 3.94/1.81 Node 349 is start node and node 353 is final node. 3.94/1.81 3.94/1.81 Those nodes are connected through the following edges: 3.94/1.81 3.94/1.81 * 349 to 354 labelled b_1(0)* 353 to 353 labelled #_1(0)* 354 to 355 labelled a_1(0)* 355 to 356 labelled b_1(0)* 356 to 357 labelled a_1(0)* 357 to 358 labelled a_1(0)* 358 to 359 labelled b_1(0)* 359 to 360 labelled a_1(0)* 359 to 378 labelled b_1(1)* 360 to 361 labelled a_1(0)* 360 to 378 labelled b_1(1)* 361 to 362 labelled a_1(0)* 361 to 378 labelled b_1(1)* 362 to 363 labelled a_1(0)* 362 to 378 labelled b_1(1)* 363 to 364 labelled a_1(0)* 363 to 378 labelled b_1(1)* 364 to 365 labelled a_1(0)* 364 to 378 labelled b_1(1)* 365 to 353 labelled a_1(0)* 365 to 378 labelled b_1(1)* 378 to 379 labelled a_1(1)* 379 to 380 labelled b_1(1)* 380 to 381 labelled a_1(1)* 381 to 382 labelled a_1(1)* 382 to 383 labelled b_1(1)* 383 to 384 labelled a_1(1)* 383 to 378 labelled b_1(1)* 384 to 385 labelled a_1(1)* 384 to 378 labelled b_1(1)* 385 to 386 labelled a_1(1)* 385 to 378 labelled b_1(1)* 386 to 387 labelled a_1(1)* 386 to 378 labelled b_1(1)* 387 to 388 labelled a_1(1)* 387 to 378 labelled b_1(1)* 388 to 389 labelled a_1(1)* 388 to 378 labelled b_1(1)* 389 to 353 labelled a_1(1)* 389 to 378 labelled b_1(1) 3.94/1.81 3.94/1.81 3.94/1.81 ---------------------------------------- 3.94/1.81 3.94/1.81 (6) 3.94/1.81 YES 3.94/1.88 EOF popout

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