details

property	value
status	complete
benchmark	ababaaaaa-aaaaaababab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n134.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.72162 seconds
cpu usage	3.83123
user time	3.63884
system time	0.192388
max virtual memory	1.900842E7
max residence set size	296444.0

stage attributes

key	value
starexec-result	YES

output

3.60/1.65 YES 3.60/1.69 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.60/1.69 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.60/1.69 3.60/1.69 3.60/1.69 Termination w.r.t. Q of the given QTRS could be proven: 3.60/1.69 3.60/1.69 (0) QTRS 3.60/1.69 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.60/1.69 (2) QTRS 3.60/1.69 (3) Strip Symbols Proof [SOUND, 0 ms] 3.60/1.69 (4) QTRS 3.60/1.69 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.60/1.69 (6) YES 3.60/1.69 3.60/1.69 3.60/1.69 ---------------------------------------- 3.60/1.69 3.60/1.69 (0) 3.60/1.69 Obligation: 3.60/1.69 Q restricted rewrite system: 3.60/1.69 The TRS R consists of the following rules: 3.60/1.69 3.60/1.69 a(b(a(b(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(a(b(a(b(x1))))))))))) 3.60/1.69 3.60/1.69 Q is empty. 3.60/1.69 3.60/1.69 ---------------------------------------- 3.60/1.69 3.60/1.69 (1) QTRS Reverse (EQUIVALENT) 3.60/1.69 We applied the QTRS Reverse Processor [REVERSE]. 3.60/1.69 ---------------------------------------- 3.60/1.69 3.60/1.69 (2) 3.60/1.69 Obligation: 3.60/1.69 Q restricted rewrite system: 3.60/1.69 The TRS R consists of the following rules: 3.60/1.69 3.60/1.69 a(a(a(a(a(b(a(b(a(x1))))))))) -> b(a(b(a(b(a(a(a(a(a(a(x1))))))))))) 3.60/1.69 3.60/1.69 Q is empty. 3.60/1.69 3.60/1.69 ---------------------------------------- 3.60/1.69 3.60/1.69 (3) Strip Symbols Proof (SOUND) 3.60/1.69 We were given the following TRS: 3.60/1.69 3.60/1.69 a(a(a(a(a(b(a(b(a(x1))))))))) -> b(a(b(a(b(a(a(a(a(a(a(x1))))))))))) 3.60/1.69 3.60/1.69 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.60/1.69 3.60/1.69 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(b(a(a(a(a(a(x)))))))))) 3.60/1.69 3.60/1.69 ---------------------------------------- 3.60/1.69 3.60/1.69 (4) 3.60/1.69 Obligation: 3.60/1.69 Q restricted rewrite system: 3.60/1.69 The TRS R consists of the following rules: 3.60/1.69 3.60/1.69 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(b(a(a(a(a(a(x)))))))))) 3.60/1.69 3.60/1.69 Q is empty. 3.60/1.69 3.60/1.69 ---------------------------------------- 3.60/1.69 3.60/1.69 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.60/1.69 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.60/1.69 The following rules were used to construct the certificate: 3.60/1.69 3.60/1.69 a(a(a(a(a(b(a(b(x)))))))) -> b(a(b(a(b(a(a(a(a(a(x)))))))))) 3.60/1.69 3.60/1.69 The certificate found is represented by the following graph. 3.60/1.69 The certificate consists of the following enumerated nodes: 3.60/1.69 218, 219, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344 3.60/1.69 3.60/1.69 Node 218 is start node and node 219 is final node. 3.60/1.69 3.60/1.69 Those nodes are connected through the following edges: 3.60/1.69 3.60/1.69 * 218 to 327 labelled b_1(0)* 219 to 219 labelled #_1(0)* 327 to 328 labelled a_1(0)* 328 to 329 labelled b_1(0)* 329 to 330 labelled a_1(0)* 330 to 331 labelled b_1(0)* 331 to 332 labelled a_1(0)* 331 to 336 labelled b_1(1)* 332 to 333 labelled a_1(0)* 332 to 336 labelled b_1(1)* 333 to 334 labelled a_1(0)* 333 to 336 labelled b_1(1)* 334 to 335 labelled a_1(0)* 334 to 336 labelled b_1(1)* 335 to 219 labelled a_1(0)* 335 to 336 labelled b_1(1)* 336 to 337 labelled a_1(1)* 337 to 338 labelled b_1(1)* 338 to 339 labelled a_1(1)* 339 to 340 labelled b_1(1)* 340 to 341 labelled a_1(1)* 340 to 336 labelled b_1(1)* 341 to 342 labelled a_1(1)* 341 to 336 labelled b_1(1)* 342 to 343 labelled a_1(1)* 342 to 336 labelled b_1(1)* 343 to 344 labelled a_1(1)* 343 to 336 labelled b_1(1)* 344 to 219 labelled a_1(1)* 344 to 336 labelled b_1(1) 3.60/1.69 3.60/1.69 3.60/1.69 ---------------------------------------- 3.60/1.69 3.60/1.69 (6) 3.60/1.69 YES 3.80/1.72 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29