details

property	value
status	complete
benchmark	abacaaaaa-aaaaaabacaabac.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n080.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.81253 seconds
cpu usage	3.9813
user time	3.78949
system time	0.19181
max virtual memory	1.914212E7
max residence set size	323916.0

stage attributes

key	value
starexec-result	YES

output

3.71/2.72 YES 3.71/2.78 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.71/2.78 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.71/2.78 3.71/2.78 3.71/2.78 Termination w.r.t. Q of the given QTRS could be proven: 3.71/2.78 3.71/2.78 (0) QTRS 3.71/2.78 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.71/2.78 (2) QTRS 3.71/2.78 (3) Strip Symbols Proof [SOUND, 0 ms] 3.71/2.78 (4) QTRS 3.71/2.78 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.71/2.78 (6) YES 3.71/2.78 3.71/2.78 3.71/2.78 ---------------------------------------- 3.71/2.78 3.71/2.78 (0) 3.71/2.78 Obligation: 3.71/2.78 Q restricted rewrite system: 3.71/2.78 The TRS R consists of the following rules: 3.71/2.78 3.71/2.78 a(b(a(c(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(a(c(a(a(b(a(c(x1)))))))))))))) 3.71/2.78 3.71/2.78 Q is empty. 3.71/2.78 3.71/2.78 ---------------------------------------- 3.71/2.78 3.71/2.78 (1) QTRS Reverse (EQUIVALENT) 3.71/2.78 We applied the QTRS Reverse Processor [REVERSE]. 3.71/2.78 ---------------------------------------- 3.71/2.78 3.71/2.78 (2) 3.71/2.78 Obligation: 3.71/2.78 Q restricted rewrite system: 3.71/2.78 The TRS R consists of the following rules: 3.71/2.78 3.71/2.78 a(a(a(a(a(c(a(b(a(x1))))))))) -> c(a(b(a(a(c(a(b(a(a(a(a(a(a(x1)))))))))))))) 3.71/2.78 3.71/2.78 Q is empty. 3.71/2.78 3.71/2.78 ---------------------------------------- 3.71/2.78 3.71/2.78 (3) Strip Symbols Proof (SOUND) 3.71/2.78 We were given the following TRS: 3.71/2.78 3.71/2.78 a(a(a(a(a(c(a(b(a(x1))))))))) -> c(a(b(a(a(c(a(b(a(a(a(a(a(a(x1)))))))))))))) 3.71/2.78 3.71/2.78 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.71/2.78 3.71/2.78 a(a(a(a(a(c(a(b(x)))))))) -> c(a(b(a(a(c(a(b(a(a(a(a(a(x))))))))))))) 3.71/2.78 3.71/2.78 ---------------------------------------- 3.71/2.78 3.71/2.78 (4) 3.71/2.78 Obligation: 3.71/2.78 Q restricted rewrite system: 3.71/2.78 The TRS R consists of the following rules: 3.71/2.78 3.71/2.78 a(a(a(a(a(c(a(b(x)))))))) -> c(a(b(a(a(c(a(b(a(a(a(a(a(x))))))))))))) 3.71/2.78 3.71/2.78 Q is empty. 3.71/2.78 3.71/2.78 ---------------------------------------- 3.71/2.78 3.71/2.78 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.71/2.78 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.71/2.78 The following rules were used to construct the certificate: 3.71/2.78 3.71/2.78 a(a(a(a(a(c(a(b(x)))))))) -> c(a(b(a(a(c(a(b(a(a(a(a(a(x))))))))))))) 3.71/2.78 3.71/2.78 The certificate found is represented by the following graph. 3.71/2.78 The certificate consists of the following enumerated nodes: 3.71/2.78 305, 306, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460 3.71/2.78 3.71/2.78 Node 305 is start node and node 306 is final node. 3.71/2.78 3.71/2.78 Those nodes are connected through the following edges: 3.71/2.78 3.71/2.78 * 305 to 437 labelled c_1(0)* 306 to 306 labelled #_1(0)* 437 to 438 labelled a_1(0)* 438 to 439 labelled b_1(0)* 439 to 440 labelled a_1(0)* 440 to 441 labelled a_1(0)* 441 to 442 labelled c_1(0)* 442 to 443 labelled a_1(0)* 443 to 444 labelled b_1(0)* 444 to 445 labelled a_1(0)* 444 to 449 labelled c_1(1)* 445 to 446 labelled a_1(0)* 445 to 449 labelled c_1(1)* 446 to 447 labelled a_1(0)* 446 to 449 labelled c_1(1)* 447 to 448 labelled a_1(0)* 447 to 449 labelled c_1(1)* 448 to 306 labelled a_1(0)* 448 to 449 labelled c_1(1)* 449 to 450 labelled a_1(1)* 450 to 451 labelled b_1(1)* 451 to 452 labelled a_1(1)* 452 to 453 labelled a_1(1)* 453 to 454 labelled c_1(1)* 454 to 455 labelled a_1(1)* 455 to 456 labelled b_1(1)* 456 to 457 labelled a_1(1)* 456 to 449 labelled c_1(1)* 457 to 458 labelled a_1(1)* 457 to 449 labelled c_1(1)* 458 to 459 labelled a_1(1)* 458 to 449 labelled c_1(1)* 459 to 460 labelled a_1(1)* 459 to 449 labelled c_1(1)* 460 to 306 labelled a_1(1)* 460 to 449 labelled c_1(1) 3.71/2.78 3.71/2.78 3.71/2.78 ---------------------------------------- 3.71/2.78 3.71/2.78 (6) 3.71/2.78 YES 3.96/2.81 EOF popout

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