details

property	value
status	complete
benchmark	abcbaaaa-aaaaabcbaaabcb.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n067.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.92725 seconds
cpu usage	4.04435
user time	3.86202
system time	0.18233
max virtual memory	1.901002E7
max residence set size	314420.0

stage attributes

key	value
starexec-result	YES

output

3.62/1.84 YES 3.99/1.90 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.99/1.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.99/1.90 3.99/1.90 3.99/1.90 Termination w.r.t. Q of the given QTRS could be proven: 3.99/1.90 3.99/1.90 (0) QTRS 3.99/1.90 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.99/1.90 (2) QTRS 3.99/1.90 (3) Strip Symbols Proof [SOUND, 0 ms] 3.99/1.90 (4) QTRS 3.99/1.90 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 4 ms] 3.99/1.90 (6) YES 3.99/1.90 3.99/1.90 3.99/1.90 ---------------------------------------- 3.99/1.90 3.99/1.90 (0) 3.99/1.90 Obligation: 3.99/1.90 Q restricted rewrite system: 3.99/1.90 The TRS R consists of the following rules: 3.99/1.90 3.99/1.90 a(b(c(b(a(a(a(a(x1)))))))) -> a(a(a(a(a(b(c(b(a(a(a(b(c(b(x1)))))))))))))) 3.99/1.90 3.99/1.90 Q is empty. 3.99/1.90 3.99/1.90 ---------------------------------------- 3.99/1.90 3.99/1.90 (1) QTRS Reverse (EQUIVALENT) 3.99/1.90 We applied the QTRS Reverse Processor [REVERSE]. 3.99/1.90 ---------------------------------------- 3.99/1.90 3.99/1.90 (2) 3.99/1.90 Obligation: 3.99/1.90 Q restricted rewrite system: 3.99/1.90 The TRS R consists of the following rules: 3.99/1.90 3.99/1.90 a(a(a(a(b(c(b(a(x1)))))))) -> b(c(b(a(a(a(b(c(b(a(a(a(a(a(x1)))))))))))))) 3.99/1.90 3.99/1.90 Q is empty. 3.99/1.90 3.99/1.90 ---------------------------------------- 3.99/1.90 3.99/1.90 (3) Strip Symbols Proof (SOUND) 3.99/1.90 We were given the following TRS: 3.99/1.90 3.99/1.90 a(a(a(a(b(c(b(a(x1)))))))) -> b(c(b(a(a(a(b(c(b(a(a(a(a(a(x1)))))))))))))) 3.99/1.90 3.99/1.90 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.99/1.90 3.99/1.90 a(a(a(a(b(c(b(x))))))) -> b(c(b(a(a(a(b(c(b(a(a(a(a(x))))))))))))) 3.99/1.90 3.99/1.90 ---------------------------------------- 3.99/1.90 3.99/1.90 (4) 3.99/1.90 Obligation: 3.99/1.90 Q restricted rewrite system: 3.99/1.90 The TRS R consists of the following rules: 3.99/1.90 3.99/1.90 a(a(a(a(b(c(b(x))))))) -> b(c(b(a(a(a(b(c(b(a(a(a(a(x))))))))))))) 3.99/1.90 3.99/1.90 Q is empty. 3.99/1.90 3.99/1.90 ---------------------------------------- 3.99/1.90 3.99/1.90 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.99/1.90 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.99/1.90 The following rules were used to construct the certificate: 3.99/1.90 3.99/1.90 a(a(a(a(b(c(b(x))))))) -> b(c(b(a(a(a(b(c(b(a(a(a(a(x))))))))))))) 3.99/1.90 3.99/1.90 The certificate found is represented by the following graph. 3.99/1.90 The certificate consists of the following enumerated nodes: 3.99/1.90 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316 3.99/1.90 3.99/1.90 Node 291 is start node and node 292 is final node. 3.99/1.90 3.99/1.90 Those nodes are connected through the following edges: 3.99/1.90 3.99/1.90 * 291 to 293 labelled b_1(0)* 292 to 292 labelled #_1(0)* 293 to 294 labelled c_1(0)* 294 to 295 labelled b_1(0)* 295 to 296 labelled a_1(0)* 296 to 297 labelled a_1(0)* 297 to 298 labelled a_1(0)* 298 to 299 labelled b_1(0)* 299 to 300 labelled c_1(0)* 300 to 301 labelled b_1(0)* 301 to 302 labelled a_1(0)* 301 to 305 labelled b_1(1)* 302 to 303 labelled a_1(0)* 302 to 305 labelled b_1(1)* 303 to 304 labelled a_1(0)* 303 to 305 labelled b_1(1)* 304 to 292 labelled a_1(0)* 304 to 305 labelled b_1(1)* 305 to 306 labelled c_1(1)* 306 to 307 labelled b_1(1)* 307 to 308 labelled a_1(1)* 308 to 309 labelled a_1(1)* 309 to 310 labelled a_1(1)* 310 to 311 labelled b_1(1)* 311 to 312 labelled c_1(1)* 312 to 313 labelled b_1(1)* 313 to 314 labelled a_1(1)* 313 to 305 labelled b_1(1)* 314 to 315 labelled a_1(1)* 314 to 305 labelled b_1(1)* 315 to 316 labelled a_1(1)* 315 to 305 labelled b_1(1)* 316 to 292 labelled a_1(1)* 316 to 305 labelled b_1(1) 3.99/1.90 3.99/1.90 3.99/1.90 ---------------------------------------- 3.99/1.90 3.99/1.90 (6) 3.99/1.90 YES 4.02/1.92 EOF popout

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