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SRS_Standard 2019-03-29 03.29 pair #432292939
details
property
value
status
complete
benchmark
abaaaa-aaaaabaaabab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.78726 seconds
cpu usage
3.95605
user time
3.80283
system time
0.153227
max virtual memory
3.79064E7
max residence set size
336920.0
stage attributes
key
value
starexec-result
YES
output
3.64/1.74 YES 3.90/1.76 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.90/1.76 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.90/1.76 3.90/1.76 3.90/1.76 Termination w.r.t. Q of the given QTRS could be proven: 3.90/1.76 3.90/1.76 (0) QTRS 3.90/1.76 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.90/1.76 (2) QTRS 3.90/1.76 (3) Strip Symbols Proof [SOUND, 0 ms] 3.90/1.76 (4) QTRS 3.90/1.76 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.90/1.76 (6) YES 3.90/1.76 3.90/1.76 3.90/1.76 ---------------------------------------- 3.90/1.76 3.90/1.76 (0) 3.90/1.76 Obligation: 3.90/1.76 Q restricted rewrite system: 3.90/1.76 The TRS R consists of the following rules: 3.90/1.76 3.90/1.76 a(b(a(a(a(a(x1)))))) -> a(a(a(a(a(b(a(a(a(b(a(b(x1)))))))))))) 3.90/1.76 3.90/1.76 Q is empty. 3.90/1.76 3.90/1.76 ---------------------------------------- 3.90/1.76 3.90/1.76 (1) QTRS Reverse (EQUIVALENT) 3.90/1.76 We applied the QTRS Reverse Processor [REVERSE]. 3.90/1.76 ---------------------------------------- 3.90/1.76 3.90/1.76 (2) 3.90/1.76 Obligation: 3.90/1.76 Q restricted rewrite system: 3.90/1.76 The TRS R consists of the following rules: 3.90/1.76 3.90/1.76 a(a(a(a(b(a(x1)))))) -> b(a(b(a(a(a(b(a(a(a(a(a(x1)))))))))))) 3.90/1.76 3.90/1.76 Q is empty. 3.90/1.76 3.90/1.76 ---------------------------------------- 3.90/1.76 3.90/1.76 (3) Strip Symbols Proof (SOUND) 3.90/1.76 We were given the following TRS: 3.90/1.76 3.90/1.76 a(a(a(a(b(a(x1)))))) -> b(a(b(a(a(a(b(a(a(a(a(a(x1)))))))))))) 3.90/1.76 3.90/1.76 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.90/1.76 3.90/1.76 a(a(a(a(b(x))))) -> b(a(b(a(a(a(b(a(a(a(a(x))))))))))) 3.90/1.76 3.90/1.76 ---------------------------------------- 3.90/1.76 3.90/1.76 (4) 3.90/1.76 Obligation: 3.90/1.76 Q restricted rewrite system: 3.90/1.76 The TRS R consists of the following rules: 3.90/1.76 3.90/1.76 a(a(a(a(b(x))))) -> b(a(b(a(a(a(b(a(a(a(a(x))))))))))) 3.90/1.76 3.90/1.76 Q is empty. 3.90/1.76 3.90/1.76 ---------------------------------------- 3.90/1.76 3.90/1.76 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.90/1.76 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.90/1.76 The following rules were used to construct the certificate: 3.90/1.76 3.90/1.76 a(a(a(a(b(x))))) -> b(a(b(a(a(a(b(a(a(a(a(x))))))))))) 3.90/1.76 3.90/1.76 The certificate found is represented by the following graph. 3.90/1.76 The certificate consists of the following enumerated nodes: 3.90/1.76 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539 3.90/1.76 3.90/1.76 Node 518 is start node and node 519 is final node. 3.90/1.76 3.90/1.76 Those nodes are connected through the following edges: 3.90/1.76 3.90/1.76 * 518 to 520 labelled b_1(0)* 519 to 519 labelled #_1(0)* 520 to 521 labelled a_1(0)* 521 to 522 labelled b_1(0)* 522 to 523 labelled a_1(0)* 523 to 524 labelled a_1(0)* 524 to 525 labelled a_1(0)* 525 to 526 labelled b_1(0)* 526 to 527 labelled a_1(0)* 526 to 530 labelled b_1(1)* 527 to 528 labelled a_1(0)* 527 to 530 labelled b_1(1)* 528 to 529 labelled a_1(0)* 528 to 530 labelled b_1(1)* 529 to 519 labelled a_1(0)* 529 to 530 labelled b_1(1)* 530 to 531 labelled a_1(1)* 531 to 532 labelled b_1(1)* 532 to 533 labelled a_1(1)* 533 to 534 labelled a_1(1)* 534 to 535 labelled a_1(1)* 535 to 536 labelled b_1(1)* 536 to 537 labelled a_1(1)* 536 to 530 labelled b_1(1)* 537 to 538 labelled a_1(1)* 537 to 530 labelled b_1(1)* 538 to 539 labelled a_1(1)* 538 to 530 labelled b_1(1)* 539 to 519 labelled a_1(1)* 539 to 530 labelled b_1(1) 3.90/1.76 3.90/1.76 3.90/1.76 ---------------------------------------- 3.90/1.76 3.90/1.76 (6) 3.90/1.76 YES 3.90/1.78 EOF
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