details

property	value
status	complete
benchmark	abbcaaaaa-aaaaaabbcaabbc.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n079.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.88832 seconds
cpu usage	4.10346
user time	3.89888
system time	0.204577
max virtual memory	1.8942428E7
max residence set size	354328.0

stage attributes

key	value
starexec-result	YES

output

3.93/1.84 YES 3.93/1.87 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.93/1.87 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.93/1.87 3.93/1.87 3.93/1.87 Termination w.r.t. Q of the given QTRS could be proven: 3.93/1.87 3.93/1.87 (0) QTRS 3.93/1.87 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.93/1.87 (2) QTRS 3.93/1.87 (3) Strip Symbols Proof [SOUND, 0 ms] 3.93/1.87 (4) QTRS 3.93/1.87 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.93/1.87 (6) YES 3.93/1.87 3.93/1.87 3.93/1.87 ---------------------------------------- 3.93/1.87 3.93/1.87 (0) 3.93/1.87 Obligation: 3.93/1.87 Q restricted rewrite system: 3.93/1.87 The TRS R consists of the following rules: 3.93/1.87 3.93/1.87 a(b(b(c(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(b(c(a(a(b(b(c(x1)))))))))))))) 3.93/1.87 3.93/1.87 Q is empty. 3.93/1.87 3.93/1.87 ---------------------------------------- 3.93/1.87 3.93/1.87 (1) QTRS Reverse (EQUIVALENT) 3.93/1.87 We applied the QTRS Reverse Processor [REVERSE]. 3.93/1.87 ---------------------------------------- 3.93/1.87 3.93/1.87 (2) 3.93/1.87 Obligation: 3.93/1.87 Q restricted rewrite system: 3.93/1.87 The TRS R consists of the following rules: 3.93/1.87 3.93/1.87 a(a(a(a(a(c(b(b(a(x1))))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(a(a(x1)))))))))))))) 3.93/1.87 3.93/1.87 Q is empty. 3.93/1.87 3.93/1.87 ---------------------------------------- 3.93/1.87 3.93/1.87 (3) Strip Symbols Proof (SOUND) 3.93/1.87 We were given the following TRS: 3.93/1.87 3.93/1.87 a(a(a(a(a(c(b(b(a(x1))))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(a(a(x1)))))))))))))) 3.93/1.87 3.93/1.87 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.93/1.87 3.93/1.87 a(a(a(a(a(c(b(b(x)))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(a(x))))))))))))) 3.93/1.87 3.93/1.87 ---------------------------------------- 3.93/1.87 3.93/1.87 (4) 3.93/1.87 Obligation: 3.93/1.87 Q restricted rewrite system: 3.93/1.87 The TRS R consists of the following rules: 3.93/1.87 3.93/1.87 a(a(a(a(a(c(b(b(x)))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(a(x))))))))))))) 3.93/1.87 3.93/1.87 Q is empty. 3.93/1.87 3.93/1.87 ---------------------------------------- 3.93/1.87 3.93/1.87 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.93/1.87 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.93/1.87 The following rules were used to construct the certificate: 3.93/1.87 3.93/1.87 a(a(a(a(a(c(b(b(x)))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(a(x))))))))))))) 3.93/1.87 3.93/1.87 The certificate found is represented by the following graph. 3.93/1.87 The certificate consists of the following enumerated nodes: 3.93/1.87 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525 3.93/1.87 3.93/1.87 Node 500 is start node and node 501 is final node. 3.93/1.87 3.93/1.87 Those nodes are connected through the following edges: 3.93/1.87 3.93/1.87 * 500 to 502 labelled c_1(0)* 501 to 501 labelled #_1(0)* 502 to 503 labelled b_1(0)* 503 to 504 labelled b_1(0)* 504 to 505 labelled a_1(0)* 505 to 506 labelled a_1(0)* 506 to 507 labelled c_1(0)* 507 to 508 labelled b_1(0)* 508 to 509 labelled b_1(0)* 509 to 510 labelled a_1(0)* 509 to 514 labelled c_1(1)* 510 to 511 labelled a_1(0)* 510 to 514 labelled c_1(1)* 511 to 512 labelled a_1(0)* 511 to 514 labelled c_1(1)* 512 to 513 labelled a_1(0)* 512 to 514 labelled c_1(1)* 513 to 501 labelled a_1(0)* 513 to 514 labelled c_1(1)* 514 to 515 labelled b_1(1)* 515 to 516 labelled b_1(1)* 516 to 517 labelled a_1(1)* 517 to 518 labelled a_1(1)* 518 to 519 labelled c_1(1)* 519 to 520 labelled b_1(1)* 520 to 521 labelled b_1(1)* 521 to 522 labelled a_1(1)* 521 to 514 labelled c_1(1)* 522 to 523 labelled a_1(1)* 522 to 514 labelled c_1(1)* 523 to 524 labelled a_1(1)* 523 to 514 labelled c_1(1)* 524 to 525 labelled a_1(1)* 524 to 514 labelled c_1(1)* 525 to 501 labelled a_1(1)* 525 to 514 labelled c_1(1) 3.93/1.87 3.93/1.87 3.93/1.87 ---------------------------------------- 3.93/1.87 3.93/1.87 (6) 3.93/1.87 YES 3.93/1.88 EOF popout

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