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SRS Standard pair #487089514
details
property
value
status
complete
benchmark
abacaabaca-aabacabacaabac.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)
1.67071 seconds
cpu usage
3.87186
user time
3.6832
system time
0.188664
max virtual memory
1.8942676E7
max residence set size
310352.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(c(a(a(b(a(c(a(x1)))))))))) -> a(a(b(a(c(a(b(a(c(a(a(b(a(c(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(c(a(b(a(a(c(a(b(a(x1)))))))))) -> c(a(b(a(a(c(a(b(a(c(a(b(a(a(x1)))))))))))))) Q is empty. ---------------------------------------- (3) Strip Symbols Proof (SOUND) We were given the following TRS: a(c(a(b(a(a(c(a(b(a(x1)))))))))) -> c(a(b(a(a(c(a(b(a(c(a(b(a(a(x1)))))))))))))) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: a(c(a(b(a(a(c(a(b(x))))))))) -> c(a(b(a(a(c(a(b(a(c(a(b(a(x))))))))))))) ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(c(a(b(a(a(c(a(b(x))))))))) -> c(a(b(a(a(c(a(b(a(c(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(c(a(b(a(a(c(a(b(x))))))))) -> c(a(b(a(a(c(a(b(a(c(a(b(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676 Node 651 is start node and node 652 is final node. Those nodes are connected through the following edges: * 651 to 653 labelled c_1(0)* 652 to 652 labelled #_1(0)* 653 to 654 labelled a_1(0)* 654 to 655 labelled b_1(0)* 655 to 656 labelled a_1(0)* 656 to 657 labelled a_1(0)* 657 to 658 labelled c_1(0)* 658 to 659 labelled a_1(0)* 659 to 660 labelled b_1(0)* 660 to 661 labelled a_1(0)* 660 to 665 labelled c_1(1)* 661 to 662 labelled c_1(0)* 662 to 663 labelled a_1(0)* 663 to 664 labelled b_1(0)* 664 to 652 labelled a_1(0)* 664 to 665 labelled c_1(1)* 665 to 666 labelled a_1(1)* 666 to 667 labelled b_1(1)* 667 to 668 labelled a_1(1)* 668 to 669 labelled a_1(1)* 669 to 670 labelled c_1(1)* 670 to 671 labelled a_1(1)* 671 to 672 labelled b_1(1)* 672 to 673 labelled a_1(1)* 672 to 665 labelled c_1(1)* 673 to 674 labelled c_1(1)* 674 to 675 labelled a_1(1)* 675 to 676 labelled b_1(1)* 676 to 652 labelled a_1(1)* 676 to 665 labelled c_1(1) ---------------------------------------- (6) YES
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