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SRS_Standard 2019-03-29 03.29 pair #432293041
details
property
value
status
complete
benchmark
abcbaaaaa-aaaaaabcbaabcb.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.7741 seconds
cpu usage
4.12639
user time
3.94838
system time
0.178011
max virtual memory
1.9207084E7
max residence set size
340772.0
stage attributes
key
value
starexec-result
YES
output
3.89/1.71 YES 3.89/1.73 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.89/1.73 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.89/1.73 3.89/1.73 3.89/1.73 Termination w.r.t. Q of the given QTRS could be proven: 3.89/1.73 3.89/1.73 (0) QTRS 3.89/1.73 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.89/1.73 (2) QTRS 3.89/1.73 (3) Strip Symbols Proof [SOUND, 0 ms] 3.89/1.73 (4) QTRS 3.89/1.73 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.89/1.73 (6) YES 3.89/1.73 3.89/1.73 3.89/1.73 ---------------------------------------- 3.89/1.73 3.89/1.73 (0) 3.89/1.73 Obligation: 3.89/1.73 Q restricted rewrite system: 3.89/1.73 The TRS R consists of the following rules: 3.89/1.73 3.89/1.73 a(b(c(b(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(c(b(a(a(b(c(b(x1)))))))))))))) 3.89/1.73 3.89/1.73 Q is empty. 3.89/1.73 3.89/1.73 ---------------------------------------- 3.89/1.73 3.89/1.73 (1) QTRS Reverse (EQUIVALENT) 3.89/1.73 We applied the QTRS Reverse Processor [REVERSE]. 3.89/1.73 ---------------------------------------- 3.89/1.73 3.89/1.73 (2) 3.89/1.73 Obligation: 3.89/1.73 Q restricted rewrite system: 3.89/1.73 The TRS R consists of the following rules: 3.89/1.73 3.89/1.73 a(a(a(a(a(b(c(b(a(x1))))))))) -> b(c(b(a(a(b(c(b(a(a(a(a(a(a(x1)))))))))))))) 3.89/1.73 3.89/1.73 Q is empty. 3.89/1.73 3.89/1.73 ---------------------------------------- 3.89/1.73 3.89/1.73 (3) Strip Symbols Proof (SOUND) 3.89/1.73 We were given the following TRS: 3.89/1.73 3.89/1.73 a(a(a(a(a(b(c(b(a(x1))))))))) -> b(c(b(a(a(b(c(b(a(a(a(a(a(a(x1)))))))))))))) 3.89/1.73 3.89/1.73 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.89/1.73 3.89/1.73 a(a(a(a(a(b(c(b(x)))))))) -> b(c(b(a(a(b(c(b(a(a(a(a(a(x))))))))))))) 3.89/1.73 3.89/1.73 ---------------------------------------- 3.89/1.73 3.89/1.73 (4) 3.89/1.73 Obligation: 3.89/1.73 Q restricted rewrite system: 3.89/1.73 The TRS R consists of the following rules: 3.89/1.73 3.89/1.73 a(a(a(a(a(b(c(b(x)))))))) -> b(c(b(a(a(b(c(b(a(a(a(a(a(x))))))))))))) 3.89/1.73 3.89/1.73 Q is empty. 3.89/1.73 3.89/1.73 ---------------------------------------- 3.89/1.73 3.89/1.73 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.89/1.73 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.89/1.73 The following rules were used to construct the certificate: 3.89/1.73 3.89/1.73 a(a(a(a(a(b(c(b(x)))))))) -> b(c(b(a(a(b(c(b(a(a(a(a(a(x))))))))))))) 3.89/1.73 3.89/1.73 The certificate found is represented by the following graph. 3.89/1.73 The certificate consists of the following enumerated nodes: 3.89/1.73 248, 249, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285 3.89/1.73 3.89/1.73 Node 248 is start node and node 249 is final node. 3.89/1.73 3.89/1.73 Those nodes are connected through the following edges: 3.89/1.73 3.89/1.73 * 248 to 262 labelled b_1(0)* 249 to 249 labelled #_1(0)* 262 to 263 labelled c_1(0)* 263 to 264 labelled b_1(0)* 264 to 265 labelled a_1(0)* 265 to 266 labelled a_1(0)* 266 to 267 labelled b_1(0)* 267 to 268 labelled c_1(0)* 268 to 269 labelled b_1(0)* 269 to 270 labelled a_1(0)* 269 to 274 labelled b_1(1)* 270 to 271 labelled a_1(0)* 270 to 274 labelled b_1(1)* 271 to 272 labelled a_1(0)* 271 to 274 labelled b_1(1)* 272 to 273 labelled a_1(0)* 272 to 274 labelled b_1(1)* 273 to 249 labelled a_1(0)* 273 to 274 labelled b_1(1)* 274 to 275 labelled c_1(1)* 275 to 276 labelled b_1(1)* 276 to 277 labelled a_1(1)* 277 to 278 labelled a_1(1)* 278 to 279 labelled b_1(1)* 279 to 280 labelled c_1(1)* 280 to 281 labelled b_1(1)* 281 to 282 labelled a_1(1)* 281 to 274 labelled b_1(1)* 282 to 283 labelled a_1(1)* 282 to 274 labelled b_1(1)* 283 to 284 labelled a_1(1)* 283 to 274 labelled b_1(1)* 284 to 285 labelled a_1(1)* 284 to 274 labelled b_1(1)* 285 to 249 labelled a_1(1)* 285 to 274 labelled b_1(1) 3.89/1.73 3.89/1.73 3.89/1.73 ---------------------------------------- 3.89/1.73 3.89/1.73 (6) 3.89/1.73 YES 3.89/1.77 EOF
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