details

property	value
status	complete
benchmark	abaaaa-aaaaabaaabaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n113.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.84292 seconds
cpu usage	4.07002
user time	3.87859
system time	0.191437
max virtual memory	3.7107632E7
max residence set size	360920.0

stage attributes

key	value
starexec-result	YES

output

3.78/1.78 YES 3.78/1.80 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.78/1.80 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.78/1.80 3.78/1.80 3.78/1.80 Termination w.r.t. Q of the given QTRS could be proven: 3.78/1.80 3.78/1.80 (0) QTRS 3.78/1.80 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.78/1.80 (2) QTRS 3.78/1.80 (3) Strip Symbols Proof [SOUND, 0 ms] 3.78/1.80 (4) QTRS 3.78/1.80 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.78/1.80 (6) YES 3.78/1.80 3.78/1.80 3.78/1.80 ---------------------------------------- 3.78/1.80 3.78/1.80 (0) 3.78/1.80 Obligation: 3.78/1.80 Q restricted rewrite system: 3.78/1.80 The TRS R consists of the following rules: 3.78/1.80 3.78/1.80 a(b(a(a(a(a(x1)))))) -> a(a(a(a(a(b(a(a(a(b(a(a(b(x1))))))))))))) 3.78/1.80 3.78/1.80 Q is empty. 3.78/1.80 3.78/1.80 ---------------------------------------- 3.78/1.80 3.78/1.80 (1) QTRS Reverse (EQUIVALENT) 3.78/1.80 We applied the QTRS Reverse Processor [REVERSE]. 3.78/1.80 ---------------------------------------- 3.78/1.80 3.78/1.80 (2) 3.78/1.80 Obligation: 3.78/1.80 Q restricted rewrite system: 3.78/1.80 The TRS R consists of the following rules: 3.78/1.80 3.78/1.80 a(a(a(a(b(a(x1)))))) -> b(a(a(b(a(a(a(b(a(a(a(a(a(x1))))))))))))) 3.78/1.80 3.78/1.80 Q is empty. 3.78/1.80 3.78/1.80 ---------------------------------------- 3.78/1.80 3.78/1.80 (3) Strip Symbols Proof (SOUND) 3.78/1.80 We were given the following TRS: 3.78/1.80 3.78/1.80 a(a(a(a(b(a(x1)))))) -> b(a(a(b(a(a(a(b(a(a(a(a(a(x1))))))))))))) 3.78/1.80 3.78/1.80 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.78/1.80 3.78/1.80 a(a(a(a(b(x))))) -> b(a(a(b(a(a(a(b(a(a(a(a(x)))))))))))) 3.78/1.80 3.78/1.80 ---------------------------------------- 3.78/1.80 3.78/1.80 (4) 3.78/1.80 Obligation: 3.78/1.80 Q restricted rewrite system: 3.78/1.80 The TRS R consists of the following rules: 3.78/1.80 3.78/1.80 a(a(a(a(b(x))))) -> b(a(a(b(a(a(a(b(a(a(a(a(x)))))))))))) 3.78/1.80 3.78/1.80 Q is empty. 3.78/1.80 3.78/1.80 ---------------------------------------- 3.78/1.80 3.78/1.80 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.78/1.80 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.78/1.80 The following rules were used to construct the certificate: 3.78/1.80 3.78/1.80 a(a(a(a(b(x))))) -> b(a(a(b(a(a(a(b(a(a(a(a(x)))))))))))) 3.78/1.80 3.78/1.80 The certificate found is represented by the following graph. 3.78/1.80 The certificate consists of the following enumerated nodes: 3.78/1.80 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435 3.78/1.80 3.78/1.80 Node 412 is start node and node 413 is final node. 3.78/1.80 3.78/1.80 Those nodes are connected through the following edges: 3.78/1.80 3.78/1.80 * 412 to 414 labelled b_1(0)* 413 to 413 labelled #_1(0)* 414 to 415 labelled a_1(0)* 415 to 416 labelled a_1(0)* 416 to 417 labelled b_1(0)* 417 to 418 labelled a_1(0)* 418 to 419 labelled a_1(0)* 419 to 420 labelled a_1(0)* 420 to 421 labelled b_1(0)* 421 to 422 labelled a_1(0)* 421 to 425 labelled b_1(1)* 422 to 423 labelled a_1(0)* 422 to 425 labelled b_1(1)* 423 to 424 labelled a_1(0)* 423 to 425 labelled b_1(1)* 424 to 413 labelled a_1(0)* 424 to 425 labelled b_1(1)* 425 to 426 labelled a_1(1)* 426 to 427 labelled a_1(1)* 427 to 428 labelled b_1(1)* 428 to 429 labelled a_1(1)* 429 to 430 labelled a_1(1)* 430 to 431 labelled a_1(1)* 431 to 432 labelled b_1(1)* 432 to 433 labelled a_1(1)* 432 to 425 labelled b_1(1)* 433 to 434 labelled a_1(1)* 433 to 425 labelled b_1(1)* 434 to 435 labelled a_1(1)* 434 to 425 labelled b_1(1)* 435 to 413 labelled a_1(1)* 435 to 425 labelled b_1(1) 3.78/1.80 3.78/1.80 3.78/1.80 ---------------------------------------- 3.78/1.80 3.78/1.80 (6) 3.78/1.80 YES 4.05/1.84 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29