Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487089916
details
property
value
status
complete
benchmark
abaaaaaaa-aaaaaaaabaabab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.04668 seconds
cpu usage
3.90366
user time
3.73628
system time
0.16738
max virtual memory
1.8810352E7
max residence set size
310532.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(a(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(a(a(b(a(a(b(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(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(a(x1)))))))))))))) Q is empty. ---------------------------------------- (3) Strip Symbols Proof (SOUND) We were given the following TRS: a(a(a(a(a(a(a(b(a(x1))))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(a(x1)))))))))))))) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(x))))))))))))) ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(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(a(a(a(a(a(a(b(x)))))))) -> b(a(b(a(a(b(a(a(a(a(a(a(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 447, 448, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498 Node 447 is start node and node 448 is final node. Those nodes are connected through the following edges: * 447 to 475 labelled b_1(0)* 448 to 448 labelled #_1(0)* 475 to 476 labelled a_1(0)* 476 to 477 labelled b_1(0)* 477 to 478 labelled a_1(0)* 478 to 479 labelled a_1(0)* 479 to 480 labelled b_1(0)* 480 to 481 labelled a_1(0)* 480 to 487 labelled b_1(1)* 481 to 482 labelled a_1(0)* 481 to 487 labelled b_1(1)* 482 to 483 labelled a_1(0)* 482 to 487 labelled b_1(1)* 483 to 484 labelled a_1(0)* 483 to 487 labelled b_1(1)* 484 to 485 labelled a_1(0)* 484 to 487 labelled b_1(1)* 485 to 486 labelled a_1(0)* 485 to 487 labelled b_1(1)* 486 to 448 labelled a_1(0)* 486 to 487 labelled b_1(1)* 487 to 488 labelled a_1(1)* 488 to 489 labelled b_1(1)* 489 to 490 labelled a_1(1)* 490 to 491 labelled a_1(1)* 491 to 492 labelled b_1(1)* 492 to 493 labelled a_1(1)* 492 to 487 labelled b_1(1)* 493 to 494 labelled a_1(1)* 493 to 487 labelled b_1(1)* 494 to 495 labelled a_1(1)* 494 to 487 labelled b_1(1)* 495 to 496 labelled a_1(1)* 495 to 487 labelled b_1(1)* 496 to 497 labelled a_1(1)* 496 to 487 labelled b_1(1)* 497 to 498 labelled a_1(1)* 497 to 487 labelled b_1(1)* 498 to 448 labelled a_1(1)* 498 to 487 labelled b_1(1) ---------------------------------------- (6) YES
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard