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SRS_Standard 2019-03-29 03.29 pair #432292813
details
property
value
status
complete
benchmark
abcbaabcba-aabcbabcbaabcb.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.75074 seconds
cpu usage
3.80698
user time
3.60649
system time
0.20049
max virtual memory
1.8876432E7
max residence set size
290788.0
stage attributes
key
value
starexec-result
YES
output
3.59/1.69 YES 3.59/1.71 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.59/1.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.59/1.71 3.59/1.71 3.59/1.71 Termination w.r.t. Q of the given QTRS could be proven: 3.59/1.71 3.59/1.71 (0) QTRS 3.59/1.71 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.59/1.71 (2) QTRS 3.59/1.71 (3) Strip Symbols Proof [SOUND, 0 ms] 3.59/1.71 (4) QTRS 3.59/1.71 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.59/1.71 (6) YES 3.59/1.71 3.59/1.71 3.59/1.71 ---------------------------------------- 3.59/1.71 3.59/1.71 (0) 3.59/1.71 Obligation: 3.59/1.71 Q restricted rewrite system: 3.59/1.71 The TRS R consists of the following rules: 3.59/1.71 3.59/1.71 a(b(c(b(a(a(b(c(b(a(x1)))))))))) -> a(a(b(c(b(a(b(c(b(a(a(b(c(b(x1)))))))))))))) 3.59/1.71 3.59/1.71 Q is empty. 3.59/1.71 3.59/1.71 ---------------------------------------- 3.59/1.71 3.59/1.71 (1) QTRS Reverse (EQUIVALENT) 3.59/1.71 We applied the QTRS Reverse Processor [REVERSE]. 3.59/1.71 ---------------------------------------- 3.59/1.71 3.59/1.71 (2) 3.59/1.71 Obligation: 3.59/1.71 Q restricted rewrite system: 3.59/1.71 The TRS R consists of the following rules: 3.59/1.71 3.59/1.71 a(b(c(b(a(a(b(c(b(a(x1)))))))))) -> b(c(b(a(a(b(c(b(a(b(c(b(a(a(x1)))))))))))))) 3.59/1.71 3.59/1.71 Q is empty. 3.59/1.71 3.59/1.71 ---------------------------------------- 3.59/1.71 3.59/1.71 (3) Strip Symbols Proof (SOUND) 3.59/1.71 We were given the following TRS: 3.59/1.71 3.59/1.71 a(b(c(b(a(a(b(c(b(a(x1)))))))))) -> b(c(b(a(a(b(c(b(a(b(c(b(a(a(x1)))))))))))))) 3.59/1.71 3.59/1.71 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.59/1.71 3.59/1.71 a(b(c(b(a(a(b(c(b(x))))))))) -> b(c(b(a(a(b(c(b(a(b(c(b(a(x))))))))))))) 3.59/1.71 3.59/1.71 ---------------------------------------- 3.59/1.71 3.59/1.71 (4) 3.59/1.71 Obligation: 3.59/1.71 Q restricted rewrite system: 3.59/1.71 The TRS R consists of the following rules: 3.59/1.71 3.59/1.71 a(b(c(b(a(a(b(c(b(x))))))))) -> b(c(b(a(a(b(c(b(a(b(c(b(a(x))))))))))))) 3.59/1.71 3.59/1.71 Q is empty. 3.59/1.71 3.59/1.71 ---------------------------------------- 3.59/1.71 3.59/1.71 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.59/1.71 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.59/1.71 The following rules were used to construct the certificate: 3.59/1.71 3.59/1.71 a(b(c(b(a(a(b(c(b(x))))))))) -> b(c(b(a(a(b(c(b(a(b(c(b(a(x))))))))))))) 3.59/1.71 3.59/1.71 The certificate found is represented by the following graph. 3.59/1.71 The certificate consists of the following enumerated nodes: 3.59/1.71 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611 3.59/1.71 3.59/1.71 Node 382 is start node and node 383 is final node. 3.59/1.71 3.59/1.71 Those nodes are connected through the following edges: 3.59/1.71 3.59/1.71 * 382 to 384 labelled b_1(0)* 383 to 383 labelled #_1(0)* 384 to 385 labelled c_1(0)* 385 to 386 labelled b_1(0)* 386 to 387 labelled a_1(0)* 387 to 388 labelled a_1(0)* 388 to 389 labelled b_1(0)* 389 to 390 labelled c_1(0)* 390 to 391 labelled b_1(0)* 391 to 392 labelled a_1(0)* 391 to 600 labelled b_1(1)* 392 to 393 labelled b_1(0)* 393 to 394 labelled c_1(0)* 394 to 395 labelled b_1(0)* 395 to 383 labelled a_1(0)* 395 to 600 labelled b_1(1)* 600 to 601 labelled c_1(1)* 601 to 602 labelled b_1(1)* 602 to 603 labelled a_1(1)* 603 to 604 labelled a_1(1)* 604 to 605 labelled b_1(1)* 605 to 606 labelled c_1(1)* 606 to 607 labelled b_1(1)* 607 to 608 labelled a_1(1)* 607 to 600 labelled b_1(1)* 608 to 609 labelled b_1(1)* 609 to 610 labelled c_1(1)* 610 to 611 labelled b_1(1)* 611 to 383 labelled a_1(1)* 611 to 600 labelled b_1(1) 3.59/1.71 3.59/1.71 3.59/1.71 ---------------------------------------- 3.59/1.71 3.59/1.71 (6) 3.59/1.71 YES 3.59/1.75 EOF
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