details

property	value
status	complete
benchmark	acbabacba-abacbacbabac.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n153.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.88968 seconds
cpu usage	4.22864
user time	4.01194
system time	0.216707
max virtual memory	1.9207656E7
max residence set size	362384.0

stage attributes

key	value
starexec-result	YES

output

4.02/1.82 YES 4.09/1.85 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.09/1.85 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.09/1.85 4.09/1.85 4.09/1.85 Termination w.r.t. Q of the given QTRS could be proven: 4.09/1.85 4.09/1.85 (0) QTRS 4.09/1.85 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.09/1.85 (2) QTRS 4.09/1.85 (3) Strip Symbols Proof [SOUND, 0 ms] 4.09/1.85 (4) QTRS 4.09/1.85 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 2 ms] 4.09/1.85 (6) YES 4.09/1.85 4.09/1.85 4.09/1.85 ---------------------------------------- 4.09/1.85 4.09/1.85 (0) 4.09/1.85 Obligation: 4.09/1.85 Q restricted rewrite system: 4.09/1.85 The TRS R consists of the following rules: 4.09/1.85 4.09/1.85 a(c(b(a(b(a(c(b(a(x1))))))))) -> a(b(a(c(b(a(c(b(a(b(a(c(x1)))))))))))) 4.09/1.85 4.09/1.85 Q is empty. 4.09/1.85 4.09/1.85 ---------------------------------------- 4.09/1.85 4.09/1.85 (1) QTRS Reverse (EQUIVALENT) 4.09/1.85 We applied the QTRS Reverse Processor [REVERSE]. 4.09/1.85 ---------------------------------------- 4.09/1.85 4.09/1.85 (2) 4.09/1.85 Obligation: 4.09/1.85 Q restricted rewrite system: 4.09/1.85 The TRS R consists of the following rules: 4.09/1.85 4.09/1.85 a(b(c(a(b(a(b(c(a(x1))))))))) -> c(a(b(a(b(c(a(b(c(a(b(a(x1)))))))))))) 4.09/1.85 4.09/1.85 Q is empty. 4.09/1.85 4.09/1.85 ---------------------------------------- 4.09/1.85 4.09/1.85 (3) Strip Symbols Proof (SOUND) 4.09/1.85 We were given the following TRS: 4.09/1.85 4.09/1.85 a(b(c(a(b(a(b(c(a(x1))))))))) -> c(a(b(a(b(c(a(b(c(a(b(a(x1)))))))))))) 4.09/1.85 4.09/1.85 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.09/1.85 4.09/1.85 a(b(c(a(b(a(b(c(x)))))))) -> c(a(b(a(b(c(a(b(c(a(b(x))))))))))) 4.09/1.85 4.09/1.85 ---------------------------------------- 4.09/1.85 4.09/1.85 (4) 4.09/1.85 Obligation: 4.09/1.85 Q restricted rewrite system: 4.09/1.85 The TRS R consists of the following rules: 4.09/1.85 4.09/1.85 a(b(c(a(b(a(b(c(x)))))))) -> c(a(b(a(b(c(a(b(c(a(b(x))))))))))) 4.09/1.85 4.09/1.85 Q is empty. 4.09/1.85 4.09/1.85 ---------------------------------------- 4.09/1.85 4.09/1.85 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.09/1.85 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.09/1.85 The following rules were used to construct the certificate: 4.09/1.85 4.09/1.85 a(b(c(a(b(a(b(c(x)))))))) -> c(a(b(a(b(c(a(b(c(a(b(x))))))))))) 4.09/1.85 4.09/1.85 The certificate found is represented by the following graph. 4.09/1.85 The certificate consists of the following enumerated nodes: 4.09/1.85 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324 4.09/1.85 4.09/1.85 Node 303 is start node and node 304 is final node. 4.09/1.85 4.09/1.85 Those nodes are connected through the following edges: 4.09/1.85 4.09/1.85 * 303 to 305 labelled c_1(0)* 304 to 304 labelled #_1(0)* 305 to 306 labelled a_1(0)* 306 to 307 labelled b_1(0)* 307 to 308 labelled a_1(0)* 308 to 309 labelled b_1(0)* 309 to 310 labelled c_1(0)* 310 to 311 labelled a_1(0)* 310 to 315 labelled c_1(1)* 311 to 312 labelled b_1(0)* 312 to 313 labelled c_1(0)* 313 to 314 labelled a_1(0)* 313 to 315 labelled c_1(1)* 314 to 304 labelled b_1(0)* 315 to 316 labelled a_1(1)* 316 to 317 labelled b_1(1)* 317 to 318 labelled a_1(1)* 318 to 319 labelled b_1(1)* 319 to 320 labelled c_1(1)* 320 to 321 labelled a_1(1)* 320 to 315 labelled c_1(1)* 321 to 322 labelled b_1(1)* 322 to 323 labelled c_1(1)* 323 to 324 labelled a_1(1)* 323 to 315 labelled c_1(1)* 324 to 304 labelled b_1(1) 4.09/1.85 4.09/1.85 4.09/1.85 ---------------------------------------- 4.09/1.85 4.09/1.85 (6) 4.09/1.85 YES 4.09/1.88 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29