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SRS_Standard 2019-03-29 03.29 pair #432293653
details
property
value
status
complete
benchmark
abaaaa-aaaaababaabab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.95608 seconds
cpu usage
3.87024
user time
3.69569
system time
0.174549
max virtual memory
1.8875292E7
max residence set size
300212.0
stage attributes
key
value
starexec-result
YES
output
3.43/1.85 YES 3.79/1.93 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.79/1.93 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.79/1.93 3.79/1.93 3.79/1.93 Termination w.r.t. Q of the given QTRS could be proven: 3.79/1.93 3.79/1.93 (0) QTRS 3.79/1.93 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.79/1.93 (2) QTRS 3.79/1.93 (3) Strip Symbols Proof [SOUND, 0 ms] 3.79/1.93 (4) QTRS 3.79/1.93 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.79/1.93 (6) YES 3.79/1.93 3.79/1.93 3.79/1.93 ---------------------------------------- 3.79/1.93 3.79/1.93 (0) 3.79/1.93 Obligation: 3.79/1.93 Q restricted rewrite system: 3.79/1.93 The TRS R consists of the following rules: 3.79/1.93 3.79/1.93 a(b(a(a(a(a(x1)))))) -> a(a(a(a(a(b(a(b(a(a(b(a(b(x1))))))))))))) 3.79/1.93 3.79/1.93 Q is empty. 3.79/1.93 3.79/1.93 ---------------------------------------- 3.79/1.93 3.79/1.93 (1) QTRS Reverse (EQUIVALENT) 3.79/1.93 We applied the QTRS Reverse Processor [REVERSE]. 3.79/1.93 ---------------------------------------- 3.79/1.93 3.79/1.93 (2) 3.79/1.93 Obligation: 3.79/1.93 Q restricted rewrite system: 3.79/1.93 The TRS R consists of the following rules: 3.79/1.93 3.79/1.93 a(a(a(a(b(a(x1)))))) -> b(a(b(a(a(b(a(b(a(a(a(a(a(x1))))))))))))) 3.79/1.93 3.79/1.93 Q is empty. 3.79/1.93 3.79/1.93 ---------------------------------------- 3.79/1.93 3.79/1.93 (3) Strip Symbols Proof (SOUND) 3.79/1.93 We were given the following TRS: 3.79/1.93 3.79/1.93 a(a(a(a(b(a(x1)))))) -> b(a(b(a(a(b(a(b(a(a(a(a(a(x1))))))))))))) 3.79/1.93 3.79/1.93 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.79/1.93 3.79/1.93 a(a(a(a(b(x))))) -> b(a(b(a(a(b(a(b(a(a(a(a(x)))))))))))) 3.79/1.93 3.79/1.93 ---------------------------------------- 3.79/1.93 3.79/1.93 (4) 3.79/1.93 Obligation: 3.79/1.93 Q restricted rewrite system: 3.79/1.93 The TRS R consists of the following rules: 3.79/1.93 3.79/1.93 a(a(a(a(b(x))))) -> b(a(b(a(a(b(a(b(a(a(a(a(x)))))))))))) 3.79/1.93 3.79/1.93 Q is empty. 3.79/1.93 3.79/1.93 ---------------------------------------- 3.79/1.93 3.79/1.93 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.79/1.93 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.79/1.93 The following rules were used to construct the certificate: 3.79/1.93 3.79/1.93 a(a(a(a(b(x))))) -> b(a(b(a(a(b(a(b(a(a(a(a(x)))))))))))) 3.79/1.93 3.79/1.93 The certificate found is represented by the following graph. 3.79/1.93 The certificate consists of the following enumerated nodes: 3.79/1.93 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507 3.79/1.93 3.79/1.93 Node 484 is start node and node 485 is final node. 3.79/1.93 3.79/1.93 Those nodes are connected through the following edges: 3.79/1.93 3.79/1.93 * 484 to 486 labelled b_1(0)* 485 to 485 labelled #_1(0)* 486 to 487 labelled a_1(0)* 487 to 488 labelled b_1(0)* 488 to 489 labelled a_1(0)* 489 to 490 labelled a_1(0)* 490 to 491 labelled b_1(0)* 491 to 492 labelled a_1(0)* 492 to 493 labelled b_1(0)* 493 to 494 labelled a_1(0)* 493 to 497 labelled b_1(1)* 494 to 495 labelled a_1(0)* 494 to 497 labelled b_1(1)* 495 to 496 labelled a_1(0)* 495 to 497 labelled b_1(1)* 496 to 485 labelled a_1(0)* 496 to 497 labelled b_1(1)* 497 to 498 labelled a_1(1)* 498 to 499 labelled b_1(1)* 499 to 500 labelled a_1(1)* 500 to 501 labelled a_1(1)* 501 to 502 labelled b_1(1)* 502 to 503 labelled a_1(1)* 503 to 504 labelled b_1(1)* 504 to 505 labelled a_1(1)* 504 to 497 labelled b_1(1)* 505 to 506 labelled a_1(1)* 505 to 497 labelled b_1(1)* 506 to 507 labelled a_1(1)* 506 to 497 labelled b_1(1)* 507 to 485 labelled a_1(1)* 507 to 497 labelled b_1(1) 3.79/1.93 3.79/1.93 3.79/1.93 ---------------------------------------- 3.79/1.93 3.79/1.93 (6) 3.79/1.93 YES 3.79/1.95 EOF
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