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SRS Standard pair #487090636
details
property
value
status
complete
benchmark
abaabababa-aabababababaab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.68557 seconds
cpu usage
3.91533
user time
3.71968
system time
0.195647
max virtual memory
1.920768E7
max residence set size
332172.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4) QTRS (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(a(a(b(a(b(a(b(a(x1)))))))))) -> a(a(b(a(b(a(b(a(b(a(b(a(a(b(x1)))))))))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(a(b(a(b(a(a(b(a(x1)))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(a(x1)))))))))))))) Q is empty. ---------------------------------------- (3) Strip Symbols Proof (SOUND) We were given the following TRS: a(b(a(b(a(b(a(a(b(a(x1)))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(a(x1)))))))))))))) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: a(b(a(b(a(b(a(a(b(x))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(x))))))))))))) ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(a(b(a(b(a(a(b(x))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(x))))))))))))) Q is empty. ---------------------------------------- (5) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. The following rules were used to construct the certificate: a(b(a(b(a(b(a(a(b(x))))))))) -> b(a(a(b(a(b(a(b(a(b(a(b(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612 Node 587 is start node and node 588 is final node. Those nodes are connected through the following edges: * 587 to 589 labelled b_1(0)* 588 to 588 labelled #_1(0)* 589 to 590 labelled a_1(0)* 590 to 591 labelled a_1(0)* 591 to 592 labelled b_1(0)* 592 to 593 labelled a_1(0)* 593 to 594 labelled b_1(0)* 594 to 595 labelled a_1(0)* 594 to 601 labelled b_1(1)* 595 to 596 labelled b_1(0)* 596 to 597 labelled a_1(0)* 596 to 601 labelled b_1(1)* 597 to 598 labelled b_1(0)* 598 to 599 labelled a_1(0)* 598 to 601 labelled b_1(1)* 599 to 600 labelled b_1(0)* 600 to 588 labelled a_1(0)* 600 to 601 labelled b_1(1)* 601 to 602 labelled a_1(1)* 602 to 603 labelled a_1(1)* 603 to 604 labelled b_1(1)* 604 to 605 labelled a_1(1)* 605 to 606 labelled b_1(1)* 606 to 607 labelled a_1(1)* 606 to 601 labelled b_1(1)* 607 to 608 labelled b_1(1)* 608 to 609 labelled a_1(1)* 608 to 601 labelled b_1(1)* 609 to 610 labelled b_1(1)* 610 to 611 labelled a_1(1)* 610 to 601 labelled b_1(1)* 611 to 612 labelled b_1(1)* 612 to 588 labelled a_1(1)* 612 to 601 labelled b_1(1) ---------------------------------------- (6) YES
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