details

property	value
status	complete
benchmark	abaababa-aabababaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n075.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.75479 seconds
cpu usage	3.6047
user time	3.42005
system time	0.184647
max virtual memory	1.8943224E7
max residence set size	288640.0

stage attributes

key	value
starexec-result	YES

output

3.44/1.71 YES 3.44/1.73 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.44/1.73 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.44/1.73 3.44/1.73 3.44/1.73 Termination w.r.t. Q of the given QTRS could be proven: 3.44/1.73 3.44/1.73 (0) QTRS 3.44/1.73 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.44/1.73 (2) QTRS 3.44/1.73 (3) Strip Symbols Proof [SOUND, 0 ms] 3.44/1.73 (4) QTRS 3.44/1.73 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 6 ms] 3.44/1.73 (6) YES 3.44/1.73 3.44/1.73 3.44/1.73 ---------------------------------------- 3.44/1.73 3.44/1.73 (0) 3.44/1.73 Obligation: 3.44/1.73 Q restricted rewrite system: 3.44/1.73 The TRS R consists of the following rules: 3.44/1.73 3.44/1.73 a(b(a(a(b(a(b(a(x1)))))))) -> a(a(b(a(b(a(b(a(a(b(x1)))))))))) 3.44/1.73 3.44/1.73 Q is empty. 3.44/1.73 3.44/1.73 ---------------------------------------- 3.44/1.73 3.44/1.73 (1) QTRS Reverse (EQUIVALENT) 3.44/1.73 We applied the QTRS Reverse Processor [REVERSE]. 3.44/1.73 ---------------------------------------- 3.44/1.73 3.44/1.73 (2) 3.44/1.73 Obligation: 3.44/1.73 Q restricted rewrite system: 3.44/1.73 The TRS R consists of the following rules: 3.44/1.73 3.44/1.73 a(b(a(b(a(a(b(a(x1)))))))) -> b(a(a(b(a(b(a(b(a(a(x1)))))))))) 3.44/1.73 3.44/1.73 Q is empty. 3.44/1.73 3.44/1.73 ---------------------------------------- 3.44/1.73 3.44/1.73 (3) Strip Symbols Proof (SOUND) 3.44/1.73 We were given the following TRS: 3.44/1.73 3.44/1.73 a(b(a(b(a(a(b(a(x1)))))))) -> b(a(a(b(a(b(a(b(a(a(x1)))))))))) 3.44/1.73 3.44/1.73 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.44/1.73 3.44/1.73 a(b(a(b(a(a(b(x))))))) -> b(a(a(b(a(b(a(b(a(x))))))))) 3.44/1.73 3.44/1.73 ---------------------------------------- 3.44/1.73 3.44/1.73 (4) 3.44/1.73 Obligation: 3.44/1.73 Q restricted rewrite system: 3.44/1.73 The TRS R consists of the following rules: 3.44/1.73 3.44/1.73 a(b(a(b(a(a(b(x))))))) -> b(a(a(b(a(b(a(b(a(x))))))))) 3.44/1.73 3.44/1.73 Q is empty. 3.44/1.73 3.44/1.73 ---------------------------------------- 3.44/1.73 3.44/1.73 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.44/1.73 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.44/1.73 The following rules were used to construct the certificate: 3.44/1.73 3.44/1.73 a(b(a(b(a(a(b(x))))))) -> b(a(a(b(a(b(a(b(a(x))))))))) 3.44/1.73 3.44/1.73 The certificate found is represented by the following graph. 3.44/1.73 The certificate consists of the following enumerated nodes: 3.44/1.73 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228 3.44/1.73 3.44/1.73 Node 211 is start node and node 212 is final node. 3.44/1.73 3.44/1.73 Those nodes are connected through the following edges: 3.44/1.73 3.44/1.73 * 211 to 213 labelled b_1(0)* 212 to 212 labelled #_1(0)* 213 to 214 labelled a_1(0)* 214 to 215 labelled a_1(0)* 215 to 216 labelled b_1(0)* 216 to 217 labelled a_1(0)* 216 to 221 labelled b_1(1)* 217 to 218 labelled b_1(0)* 218 to 219 labelled a_1(0)* 218 to 221 labelled b_1(1)* 219 to 220 labelled b_1(0)* 220 to 212 labelled a_1(0)* 220 to 221 labelled b_1(1)* 221 to 222 labelled a_1(1)* 222 to 223 labelled a_1(1)* 223 to 224 labelled b_1(1)* 224 to 225 labelled a_1(1)* 224 to 221 labelled b_1(1)* 225 to 226 labelled b_1(1)* 226 to 227 labelled a_1(1)* 226 to 221 labelled b_1(1)* 227 to 228 labelled b_1(1)* 228 to 212 labelled a_1(1)* 228 to 221 labelled b_1(1) 3.44/1.73 3.44/1.73 3.44/1.73 ---------------------------------------- 3.44/1.73 3.44/1.73 (6) 3.44/1.73 YES 3.44/1.75 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29