details

property	value
status	complete
benchmark	abaaaaa-aaaaaababaabab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n151.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.73972 seconds
cpu usage	4.02795
user time	3.84583
system time	0.182127
max virtual memory	1.9607292E7
max residence set size	337120.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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(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(b(a(x1))))))) -> b(a(b(a(a(b(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(b(a(a(b(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(b(a(a(b(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(b(a(a(b(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(b(a(a(b(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: 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563 Node 538 is start node and node 539 is final node. Those nodes are connected through the following edges: * 538 to 540 labelled b_1(0)* 539 to 539 labelled #_1(0)* 540 to 541 labelled a_1(0)* 541 to 542 labelled b_1(0)* 542 to 543 labelled a_1(0)* 543 to 544 labelled a_1(0)* 544 to 545 labelled b_1(0)* 545 to 546 labelled a_1(0)* 546 to 547 labelled b_1(0)* 547 to 548 labelled a_1(0)* 547 to 552 labelled b_1(1)* 548 to 549 labelled a_1(0)* 548 to 552 labelled b_1(1)* 549 to 550 labelled a_1(0)* 549 to 552 labelled b_1(1)* 550 to 551 labelled a_1(0)* 550 to 552 labelled b_1(1)* 551 to 539 labelled a_1(0)* 551 to 552 labelled b_1(1)* 552 to 553 labelled a_1(1)* 553 to 554 labelled b_1(1)* 554 to 555 labelled a_1(1)* 555 to 556 labelled a_1(1)* 556 to 557 labelled b_1(1)* 557 to 558 labelled a_1(1)* 558 to 559 labelled b_1(1)* 559 to 560 labelled a_1(1)* 559 to 552 labelled b_1(1)* 560 to 561 labelled a_1(1)* 560 to 552 labelled b_1(1)* 561 to 562 labelled a_1(1)* 561 to 552 labelled b_1(1)* 562 to 563 labelled a_1(1)* 562 to 552 labelled b_1(1)* 563 to 539 labelled a_1(1)* 563 to 552 labelled b_1(1) ---------------------------------------- (6) YES popout

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

job log

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actions

all output return to SRS Standard