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SRS Stand 10685 pair #381720078
details
property
value
status
complete
benchmark
abccaaaaa-aaaaaabccaabcc.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.79785394669 seconds
cpu usage
4.082260789
max memory
2.6032128E8
stage attributes
key
value
output-size
3534
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(c(c(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(c(c(a(a(b(c(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(a(a(a(a(c(c(b(a(x1))))))))) -> c(c(b(a(a(c(c(b(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(c(c(b(a(x1))))))))) -> c(c(b(a(a(c(c(b(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(c(c(b(x)))))))) -> c(c(b(a(a(c(c(b(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(c(c(b(x)))))))) -> c(c(b(a(a(c(c(b(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(c(c(b(x)))))))) -> c(c(b(a(a(c(c(b(a(a(a(a(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486 Node 461 is start node and node 462 is final node. Those nodes are connected through the following edges: * 461 to 463 labelled c_1(0)* 462 to 462 labelled #_1(0)* 463 to 464 labelled c_1(0)* 464 to 465 labelled b_1(0)* 465 to 466 labelled a_1(0)* 466 to 467 labelled a_1(0)* 467 to 468 labelled c_1(0)* 468 to 469 labelled c_1(0)* 469 to 470 labelled b_1(0)* 470 to 471 labelled a_1(0)* 470 to 475 labelled c_1(1)* 471 to 472 labelled a_1(0)* 471 to 475 labelled c_1(1)* 472 to 473 labelled a_1(0)* 472 to 475 labelled c_1(1)* 473 to 474 labelled a_1(0)* 473 to 475 labelled c_1(1)* 474 to 462 labelled a_1(0)* 474 to 475 labelled c_1(1)* 475 to 476 labelled c_1(1)* 476 to 477 labelled b_1(1)* 477 to 478 labelled a_1(1)* 478 to 479 labelled a_1(1)* 479 to 480 labelled c_1(1)* 480 to 481 labelled c_1(1)* 481 to 482 labelled b_1(1)* 482 to 483 labelled a_1(1)* 482 to 475 labelled c_1(1)* 483 to 484 labelled a_1(1)* 483 to 475 labelled c_1(1)* 484 to 485 labelled a_1(1)* 484 to 475 labelled c_1(1)* 485 to 486 labelled a_1(1)* 485 to 475 labelled c_1(1)* 486 to 462 labelled a_1(1)* 486 to 475 labelled c_1(1) ---------------------------------------- (6) YES
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