details

property	value
status	complete
benchmark	abaaaa-aaaaabaabaabab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.80395 seconds
cpu usage	3.92799
user time	3.74094
system time	0.18705
max virtual memory	1.9010248E7
max residence set size	302624.0

stage attributes

key	value
starexec-result	YES

output

3.34/1.68 YES 3.87/1.77 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.87/1.77 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.87/1.77 3.87/1.77 3.87/1.77 Termination w.r.t. Q of the given QTRS could be proven: 3.87/1.77 3.87/1.77 (0) QTRS 3.87/1.77 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.87/1.77 (2) QTRS 3.87/1.77 (3) Strip Symbols Proof [SOUND, 0 ms] 3.87/1.77 (4) QTRS 3.87/1.77 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.87/1.77 (6) YES 3.87/1.77 3.87/1.77 3.87/1.77 ---------------------------------------- 3.87/1.77 3.87/1.77 (0) 3.87/1.77 Obligation: 3.87/1.77 Q restricted rewrite system: 3.87/1.77 The TRS R consists of the following rules: 3.87/1.77 3.87/1.77 a(b(a(a(a(a(x1)))))) -> a(a(a(a(a(b(a(a(b(a(a(b(a(b(x1)))))))))))))) 3.87/1.77 3.87/1.77 Q is empty. 3.87/1.77 3.87/1.77 ---------------------------------------- 3.87/1.77 3.87/1.77 (1) QTRS Reverse (EQUIVALENT) 3.87/1.77 We applied the QTRS Reverse Processor [REVERSE]. 3.87/1.77 ---------------------------------------- 3.87/1.77 3.87/1.77 (2) 3.87/1.77 Obligation: 3.87/1.77 Q restricted rewrite system: 3.87/1.77 The TRS R consists of the following rules: 3.87/1.77 3.87/1.77 a(a(a(a(b(a(x1)))))) -> b(a(b(a(a(b(a(a(b(a(a(a(a(a(x1)))))))))))))) 3.87/1.77 3.87/1.77 Q is empty. 3.87/1.77 3.87/1.77 ---------------------------------------- 3.87/1.77 3.87/1.77 (3) Strip Symbols Proof (SOUND) 3.87/1.77 We were given the following TRS: 3.87/1.77 3.87/1.77 a(a(a(a(b(a(x1)))))) -> b(a(b(a(a(b(a(a(b(a(a(a(a(a(x1)))))))))))))) 3.87/1.77 3.87/1.77 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.87/1.77 3.87/1.77 a(a(a(a(b(x))))) -> b(a(b(a(a(b(a(a(b(a(a(a(a(x))))))))))))) 3.87/1.77 3.87/1.77 ---------------------------------------- 3.87/1.77 3.87/1.77 (4) 3.87/1.77 Obligation: 3.87/1.77 Q restricted rewrite system: 3.87/1.77 The TRS R consists of the following rules: 3.87/1.77 3.87/1.77 a(a(a(a(b(x))))) -> b(a(b(a(a(b(a(a(b(a(a(a(a(x))))))))))))) 3.87/1.77 3.87/1.77 Q is empty. 3.87/1.77 3.87/1.77 ---------------------------------------- 3.87/1.77 3.87/1.77 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.87/1.77 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.87/1.77 The following rules were used to construct the certificate: 3.87/1.77 3.87/1.77 a(a(a(a(b(x))))) -> b(a(b(a(a(b(a(a(b(a(a(a(a(x))))))))))))) 3.87/1.77 3.87/1.77 The certificate found is represented by the following graph. 3.87/1.77 The certificate consists of the following enumerated nodes: 3.87/1.77 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245 3.87/1.77 3.87/1.77 Node 220 is start node and node 221 is final node. 3.87/1.77 3.87/1.77 Those nodes are connected through the following edges: 3.87/1.77 3.87/1.77 * 220 to 222 labelled b_1(0)* 221 to 221 labelled #_1(0)* 222 to 223 labelled a_1(0)* 223 to 224 labelled b_1(0)* 224 to 225 labelled a_1(0)* 225 to 226 labelled a_1(0)* 226 to 227 labelled b_1(0)* 227 to 228 labelled a_1(0)* 228 to 229 labelled a_1(0)* 229 to 230 labelled b_1(0)* 230 to 231 labelled a_1(0)* 230 to 234 labelled b_1(1)* 231 to 232 labelled a_1(0)* 231 to 234 labelled b_1(1)* 232 to 233 labelled a_1(0)* 232 to 234 labelled b_1(1)* 233 to 221 labelled a_1(0)* 233 to 234 labelled b_1(1)* 234 to 235 labelled a_1(1)* 235 to 236 labelled b_1(1)* 236 to 237 labelled a_1(1)* 237 to 238 labelled a_1(1)* 238 to 239 labelled b_1(1)* 239 to 240 labelled a_1(1)* 240 to 241 labelled a_1(1)* 241 to 242 labelled b_1(1)* 242 to 243 labelled a_1(1)* 242 to 234 labelled b_1(1)* 243 to 244 labelled a_1(1)* 243 to 234 labelled b_1(1)* 244 to 245 labelled a_1(1)* 244 to 234 labelled b_1(1)* 245 to 221 labelled a_1(1)* 245 to 234 labelled b_1(1) 3.87/1.77 3.87/1.77 3.87/1.77 ---------------------------------------- 3.87/1.77 3.87/1.77 (6) 3.87/1.77 YES 3.90/1.80 EOF popout

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