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SRS_Standard 2019-03-29 03.29 pair #432293707
details
property
value
status
complete
benchmark
abacaaaaa-aaaaaabacabac.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n049.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.73316 seconds
cpu usage
3.814
user time
3.65179
system time
0.162208
max virtual memory
3.81722E7
max residence set size
283180.0
stage attributes
key
value
starexec-result
YES
output
3.59/1.65 YES 3.77/1.70 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.77/1.70 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.77/1.70 3.77/1.70 3.77/1.70 Termination w.r.t. Q of the given QTRS could be proven: 3.77/1.70 3.77/1.70 (0) QTRS 3.77/1.70 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.77/1.70 (2) QTRS 3.77/1.70 (3) Strip Symbols Proof [SOUND, 0 ms] 3.77/1.70 (4) QTRS 3.77/1.70 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 2 ms] 3.77/1.70 (6) YES 3.77/1.70 3.77/1.70 3.77/1.70 ---------------------------------------- 3.77/1.70 3.77/1.70 (0) 3.77/1.70 Obligation: 3.77/1.70 Q restricted rewrite system: 3.77/1.70 The TRS R consists of the following rules: 3.77/1.70 3.77/1.70 a(b(a(c(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(a(c(a(b(a(c(x1))))))))))))) 3.77/1.70 3.77/1.70 Q is empty. 3.77/1.70 3.77/1.70 ---------------------------------------- 3.77/1.70 3.77/1.70 (1) QTRS Reverse (EQUIVALENT) 3.77/1.70 We applied the QTRS Reverse Processor [REVERSE]. 3.77/1.70 ---------------------------------------- 3.77/1.70 3.77/1.70 (2) 3.77/1.70 Obligation: 3.77/1.70 Q restricted rewrite system: 3.77/1.70 The TRS R consists of the following rules: 3.77/1.70 3.77/1.70 a(a(a(a(a(c(a(b(a(x1))))))))) -> c(a(b(a(c(a(b(a(a(a(a(a(a(x1))))))))))))) 3.77/1.70 3.77/1.70 Q is empty. 3.77/1.70 3.77/1.70 ---------------------------------------- 3.77/1.70 3.77/1.70 (3) Strip Symbols Proof (SOUND) 3.77/1.70 We were given the following TRS: 3.77/1.70 3.77/1.70 a(a(a(a(a(c(a(b(a(x1))))))))) -> c(a(b(a(c(a(b(a(a(a(a(a(a(x1))))))))))))) 3.77/1.70 3.77/1.70 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.77/1.70 3.77/1.70 a(a(a(a(a(c(a(b(x)))))))) -> c(a(b(a(c(a(b(a(a(a(a(a(x)))))))))))) 3.77/1.70 3.77/1.70 ---------------------------------------- 3.77/1.70 3.77/1.70 (4) 3.77/1.70 Obligation: 3.77/1.70 Q restricted rewrite system: 3.77/1.70 The TRS R consists of the following rules: 3.77/1.70 3.77/1.70 a(a(a(a(a(c(a(b(x)))))))) -> c(a(b(a(c(a(b(a(a(a(a(a(x)))))))))))) 3.77/1.70 3.77/1.70 Q is empty. 3.77/1.70 3.77/1.70 ---------------------------------------- 3.77/1.70 3.77/1.70 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.77/1.70 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.77/1.70 The following rules were used to construct the certificate: 3.77/1.70 3.77/1.70 a(a(a(a(a(c(a(b(x)))))))) -> c(a(b(a(c(a(b(a(a(a(a(a(x)))))))))))) 3.77/1.70 3.77/1.70 The certificate found is represented by the following graph. 3.77/1.70 The certificate consists of the following enumerated nodes: 3.77/1.70 256, 257, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301 3.77/1.70 3.77/1.70 Node 256 is start node and node 257 is final node. 3.77/1.70 3.77/1.70 Those nodes are connected through the following edges: 3.77/1.70 3.77/1.70 * 256 to 269 labelled c_1(0)* 257 to 257 labelled #_1(0)* 269 to 270 labelled a_1(0)* 270 to 271 labelled b_1(0)* 271 to 272 labelled a_1(0)* 272 to 273 labelled c_1(0)* 273 to 274 labelled a_1(0)* 274 to 275 labelled b_1(0)* 275 to 276 labelled a_1(0)* 275 to 291 labelled c_1(1)* 276 to 277 labelled a_1(0)* 276 to 291 labelled c_1(1)* 277 to 278 labelled a_1(0)* 277 to 291 labelled c_1(1)* 278 to 279 labelled a_1(0)* 278 to 291 labelled c_1(1)* 279 to 257 labelled a_1(0)* 279 to 291 labelled c_1(1)* 291 to 292 labelled a_1(1)* 292 to 293 labelled b_1(1)* 293 to 294 labelled a_1(1)* 294 to 295 labelled c_1(1)* 295 to 296 labelled a_1(1)* 296 to 297 labelled b_1(1)* 297 to 298 labelled a_1(1)* 297 to 291 labelled c_1(1)* 298 to 299 labelled a_1(1)* 298 to 291 labelled c_1(1)* 299 to 300 labelled a_1(1)* 299 to 291 labelled c_1(1)* 300 to 301 labelled a_1(1)* 300 to 291 labelled c_1(1)* 301 to 257 labelled a_1(1)* 301 to 291 labelled c_1(1) 3.77/1.70 3.77/1.70 3.77/1.70 ---------------------------------------- 3.77/1.70 3.77/1.70 (6) 3.77/1.70 YES 3.77/1.73 EOF
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