details

property	value
status	complete
benchmark	abaaaaa-aaaaaabaaabaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.7447 seconds
cpu usage	3.82821
user time	3.64586
system time	0.182347
max virtual memory	1.9010044E7
max residence set size	306976.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(x1))))))) -> a(a(a(a(a(a(b(a(a(a(b(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(b(a(x1))))))) -> b(a(a(b(a(a(a(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(b(a(x1))))))) -> b(a(a(b(a(a(a(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(b(x)))))) -> b(a(a(b(a(a(a(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(b(x)))))) -> b(a(a(b(a(a(a(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(b(x)))))) -> b(a(a(b(a(a(a(b(a(a(a(a(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 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 Node 453 is start node and node 454 is final node. Those nodes are connected through the following edges: * 453 to 455 labelled b_1(0)* 454 to 454 labelled #_1(0)* 455 to 456 labelled a_1(0)* 456 to 457 labelled a_1(0)* 457 to 458 labelled b_1(0)* 458 to 459 labelled a_1(0)* 459 to 460 labelled a_1(0)* 460 to 461 labelled a_1(0)* 461 to 462 labelled b_1(0)* 462 to 463 labelled a_1(0)* 462 to 467 labelled b_1(1)* 463 to 464 labelled a_1(0)* 463 to 467 labelled b_1(1)* 464 to 465 labelled a_1(0)* 464 to 467 labelled b_1(1)* 465 to 466 labelled a_1(0)* 465 to 467 labelled b_1(1)* 466 to 454 labelled a_1(0)* 466 to 467 labelled b_1(1)* 467 to 468 labelled a_1(1)* 468 to 469 labelled a_1(1)* 469 to 470 labelled b_1(1)* 470 to 471 labelled a_1(1)* 471 to 472 labelled a_1(1)* 472 to 473 labelled a_1(1)* 473 to 474 labelled b_1(1)* 474 to 475 labelled a_1(1)* 474 to 467 labelled b_1(1)* 475 to 476 labelled a_1(1)* 475 to 467 labelled b_1(1)* 476 to 477 labelled a_1(1)* 476 to 467 labelled b_1(1)* 477 to 478 labelled a_1(1)* 477 to 467 labelled b_1(1)* 478 to 454 labelled a_1(1)* 478 to 467 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