details

property	value
status	complete
benchmark	un12.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.96052 seconds
cpu usage	4.69506
user time	4.50968
system time	0.185379
max virtual memory	3.697614E7
max residence set size	422308.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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: b(b(b(a(b(a(b(b(a(b(x1)))))))))) -> b(b(a(b(a(b(b(b(a(b(a(b(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: b(a(b(b(a(b(a(b(b(b(x1)))))))))) -> b(b(a(b(a(b(b(b(a(b(a(b(b(x1))))))))))))) Q is empty. ---------------------------------------- (3) Strip Symbols Proof (SOUND) We were given the following TRS: b(a(b(b(a(b(a(b(b(b(x1)))))))))) -> b(b(a(b(a(b(b(b(a(b(a(b(b(x1))))))))))))) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: a(b(b(a(b(a(b(b(b(x1))))))))) -> b(a(b(a(b(b(b(a(b(a(b(b(x1)))))))))))) ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(b(a(b(a(b(b(b(x1))))))))) -> b(a(b(a(b(b(b(a(b(a(b(b(x1)))))))))))) Q is empty. ---------------------------------------- (5) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: a(b(b(a(b(a(b(b(b(x1))))))))) -> b(a(b(a(b(b(b(a(b(a(b(b(x1)))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 428, 429, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 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 Node 428 is start node and node 429 is final node. Those nodes are connected through the following edges: * 428 to 442 labelled b_1(0)* 429 to 429 labelled #_1(0)* 442 to 443 labelled a_1(0)* 443 to 444 labelled b_1(0)* 444 to 445 labelled a_1(0)* 445 to 446 labelled b_1(0)* 446 to 447 labelled b_1(0)* 447 to 448 labelled b_1(0)* 448 to 449 labelled a_1(0)* 448 to 464 labelled b_1(1)* 449 to 450 labelled b_1(0)* 450 to 451 labelled a_1(0)* 450 to 453 labelled b_1(1)* 451 to 452 labelled b_1(0)* 452 to 429 labelled b_1(0)* 453 to 454 labelled a_1(1)* 454 to 455 labelled b_1(1)* 455 to 456 labelled a_1(1)* 456 to 457 labelled b_1(1)* 457 to 458 labelled b_1(1)* 458 to 459 labelled b_1(1)* 459 to 460 labelled a_1(1)* 459 to 475 labelled b_1(2)* 460 to 461 labelled b_1(1)* 461 to 462 labelled a_1(1)* 461 to 453 labelled b_1(1)* 462 to 463 labelled b_1(1)* 463 to 429 labelled b_1(1)* 464 to 465 labelled a_1(1)* 465 to 466 labelled b_1(1)* 466 to 467 labelled a_1(1)* 467 to 468 labelled b_1(1)* 468 to 469 labelled b_1(1)* 469 to 470 labelled b_1(1)* 470 to 471 labelled a_1(1)* 470 to 475 labelled b_1(2)* 471 to 472 labelled b_1(1)* 472 to 473 labelled a_1(1)* 472 to 453 labelled b_1(1)* 473 to 474 labelled b_1(1)* 474 to 459 labelled b_1(1)* 475 to 476 labelled a_1(2)* 476 to 477 labelled b_1(2)* 477 to 478 labelled a_1(2)* 478 to 479 labelled b_1(2)* 479 to 480 labelled b_1(2)* 480 to 481 labelled b_1(2)* 481 to 482 labelled a_1(2)* 481 to 475 labelled b_1(2)* 482 to 483 labelled b_1(2)* 483 to 484 labelled a_1(2)* 483 to 453 labelled b_1(1)* 484 to 485 labelled b_1(2)* 485 to 459 labelled b_1(2) ---------------------------------------- (6) YES popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS Standard