details

property	value
status	complete
benchmark	abaaaaaaaa-aaaaaaaaabaaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.69872 seconds
cpu usage	3.92736
user time	3.74961
system time	0.17775
max virtual memory	5.6406076E7
max residence set size	321804.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(a(a(a(a(a(a(x1)))))))))) -> a(a(a(a(a(a(a(a(a(b(a(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(a(a(a(a(a(a(a(b(a(x1)))))))))) -> b(a(a(a(b(a(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(a(b(a(x1)))))))))) -> b(a(a(a(b(a(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(a(b(x))))))))) -> b(a(a(a(b(a(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(a(b(x))))))))) -> b(a(a(a(b(a(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(a(b(x))))))))) -> b(a(a(a(b(a(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: 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 b_1(0)* 462 to 462 labelled #_1(0)* 463 to 464 labelled a_1(0)* 464 to 465 labelled a_1(0)* 465 to 466 labelled a_1(0)* 466 to 467 labelled b_1(0)* 467 to 468 labelled a_1(0)* 467 to 475 labelled b_1(1)* 468 to 469 labelled a_1(0)* 468 to 475 labelled b_1(1)* 469 to 470 labelled a_1(0)* 469 to 475 labelled b_1(1)* 470 to 471 labelled a_1(0)* 470 to 475 labelled b_1(1)* 471 to 472 labelled a_1(0)* 471 to 475 labelled b_1(1)* 472 to 473 labelled a_1(0)* 472 to 475 labelled b_1(1)* 473 to 474 labelled a_1(0)* 473 to 475 labelled b_1(1)* 474 to 462 labelled a_1(0)* 474 to 475 labelled b_1(1)* 475 to 476 labelled a_1(1)* 476 to 477 labelled a_1(1)* 477 to 478 labelled a_1(1)* 478 to 479 labelled b_1(1)* 479 to 480 labelled a_1(1)* 479 to 475 labelled b_1(1)* 480 to 481 labelled a_1(1)* 480 to 475 labelled b_1(1)* 481 to 482 labelled a_1(1)* 481 to 475 labelled b_1(1)* 482 to 483 labelled a_1(1)* 482 to 475 labelled b_1(1)* 483 to 484 labelled a_1(1)* 483 to 475 labelled b_1(1)* 484 to 485 labelled a_1(1)* 484 to 475 labelled b_1(1)* 485 to 486 labelled a_1(1)* 485 to 475 labelled b_1(1)* 486 to 462 labelled a_1(1)* 486 to 475 labelled b_1(1) ---------------------------------------- (6) YES popout

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job log

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all output return to SRS Standard