details

property	value
status	complete
benchmark	abaaaaaaa-aaaaaaaababab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n102.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.72854 seconds
cpu usage	3.84377
user time	3.67772
system time	0.166054
max virtual memory	1.867674E7
max residence set size	308196.0

stage attributes

key	value
starexec-result	YES

output

3.47/1.68 YES 3.47/1.71 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.47/1.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.47/1.71 3.47/1.71 3.47/1.71 Termination w.r.t. Q of the given QTRS could be proven: 3.47/1.71 3.47/1.71 (0) QTRS 3.47/1.71 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.47/1.71 (2) QTRS 3.47/1.71 (3) Strip Symbols Proof [SOUND, 0 ms] 3.47/1.71 (4) QTRS 3.47/1.71 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.47/1.71 (6) YES 3.47/1.71 3.47/1.71 3.47/1.71 ---------------------------------------- 3.47/1.71 3.47/1.71 (0) 3.47/1.71 Obligation: 3.47/1.71 Q restricted rewrite system: 3.47/1.71 The TRS R consists of the following rules: 3.47/1.71 3.47/1.71 a(b(a(a(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(a(a(b(a(b(a(b(x1))))))))))))) 3.47/1.71 3.47/1.71 Q is empty. 3.47/1.71 3.47/1.71 ---------------------------------------- 3.47/1.71 3.47/1.71 (1) QTRS Reverse (EQUIVALENT) 3.47/1.71 We applied the QTRS Reverse Processor [REVERSE]. 3.47/1.71 ---------------------------------------- 3.47/1.71 3.47/1.71 (2) 3.47/1.71 Obligation: 3.47/1.71 Q restricted rewrite system: 3.47/1.71 The TRS R consists of the following rules: 3.47/1.71 3.47/1.71 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(a(x1))))))))))))) 3.47/1.71 3.47/1.71 Q is empty. 3.47/1.71 3.47/1.71 ---------------------------------------- 3.47/1.71 3.47/1.71 (3) Strip Symbols Proof (SOUND) 3.47/1.71 We were given the following TRS: 3.47/1.71 3.47/1.71 a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(a(x1))))))))))))) 3.47/1.71 3.47/1.71 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.47/1.71 3.47/1.71 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.47/1.71 3.47/1.71 ---------------------------------------- 3.47/1.71 3.47/1.71 (4) 3.47/1.71 Obligation: 3.47/1.71 Q restricted rewrite system: 3.47/1.71 The TRS R consists of the following rules: 3.47/1.71 3.47/1.71 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.47/1.71 3.47/1.71 Q is empty. 3.47/1.71 3.47/1.71 ---------------------------------------- 3.47/1.71 3.47/1.71 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.47/1.71 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.47/1.71 The following rules were used to construct the certificate: 3.47/1.71 3.47/1.71 a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.47/1.71 3.47/1.71 The certificate found is represented by the following graph. 3.47/1.71 The certificate consists of the following enumerated nodes: 3.47/1.71 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303 3.47/1.71 3.47/1.71 Node 280 is start node and node 281 is final node. 3.47/1.71 3.47/1.71 Those nodes are connected through the following edges: 3.47/1.71 3.47/1.71 * 280 to 282 labelled b_1(0)* 281 to 281 labelled #_1(0)* 282 to 283 labelled a_1(0)* 283 to 284 labelled b_1(0)* 284 to 285 labelled a_1(0)* 285 to 286 labelled b_1(0)* 286 to 287 labelled a_1(0)* 286 to 293 labelled b_1(1)* 287 to 288 labelled a_1(0)* 287 to 293 labelled b_1(1)* 288 to 289 labelled a_1(0)* 288 to 293 labelled b_1(1)* 289 to 290 labelled a_1(0)* 289 to 293 labelled b_1(1)* 290 to 291 labelled a_1(0)* 290 to 293 labelled b_1(1)* 291 to 292 labelled a_1(0)* 291 to 293 labelled b_1(1)* 292 to 281 labelled a_1(0)* 292 to 293 labelled b_1(1)* 293 to 294 labelled a_1(1)* 294 to 295 labelled b_1(1)* 295 to 296 labelled a_1(1)* 296 to 297 labelled b_1(1)* 297 to 298 labelled a_1(1)* 297 to 293 labelled b_1(1)* 298 to 299 labelled a_1(1)* 298 to 293 labelled b_1(1)* 299 to 300 labelled a_1(1)* 299 to 293 labelled b_1(1)* 300 to 301 labelled a_1(1)* 300 to 293 labelled b_1(1)* 301 to 302 labelled a_1(1)* 301 to 293 labelled b_1(1)* 302 to 303 labelled a_1(1)* 302 to 293 labelled b_1(1)* 303 to 281 labelled a_1(1)* 303 to 293 labelled b_1(1) 3.47/1.71 3.47/1.71 3.47/1.71 ---------------------------------------- 3.47/1.71 3.47/1.71 (6) 3.47/1.71 YES 3.82/1.72 EOF popout

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