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SRS_Standard 2019-03-29 03.29 pair #432293119
details
property
value
status
complete
benchmark
abbcaaaa-aaaaabbcaabbc.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.39796 seconds
cpu usage
3.71839
user time
3.54278
system time
0.175604
max virtual memory
1.9407576E7
max residence set size
273300.0
stage attributes
key
value
starexec-result
YES
output
3.45/2.32 YES 3.62/2.37 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.62/2.37 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.62/2.37 3.62/2.37 3.62/2.37 Termination w.r.t. Q of the given QTRS could be proven: 3.62/2.37 3.62/2.37 (0) QTRS 3.62/2.37 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.62/2.37 (2) QTRS 3.62/2.37 (3) Strip Symbols Proof [SOUND, 0 ms] 3.62/2.37 (4) QTRS 3.62/2.37 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.62/2.37 (6) YES 3.62/2.37 3.62/2.37 3.62/2.37 ---------------------------------------- 3.62/2.37 3.62/2.37 (0) 3.62/2.37 Obligation: 3.62/2.37 Q restricted rewrite system: 3.62/2.37 The TRS R consists of the following rules: 3.62/2.37 3.62/2.37 a(b(b(c(a(a(a(a(x1)))))))) -> a(a(a(a(a(b(b(c(a(a(b(b(c(x1))))))))))))) 3.62/2.37 3.62/2.37 Q is empty. 3.62/2.37 3.62/2.37 ---------------------------------------- 3.62/2.37 3.62/2.37 (1) QTRS Reverse (EQUIVALENT) 3.62/2.37 We applied the QTRS Reverse Processor [REVERSE]. 3.62/2.37 ---------------------------------------- 3.62/2.37 3.62/2.37 (2) 3.62/2.37 Obligation: 3.62/2.37 Q restricted rewrite system: 3.62/2.37 The TRS R consists of the following rules: 3.62/2.37 3.62/2.37 a(a(a(a(c(b(b(a(x1)))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(a(x1))))))))))))) 3.62/2.37 3.62/2.37 Q is empty. 3.62/2.37 3.62/2.37 ---------------------------------------- 3.62/2.37 3.62/2.37 (3) Strip Symbols Proof (SOUND) 3.62/2.37 We were given the following TRS: 3.62/2.37 3.62/2.37 a(a(a(a(c(b(b(a(x1)))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(a(x1))))))))))))) 3.62/2.37 3.62/2.37 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.62/2.37 3.62/2.37 a(a(a(a(c(b(b(x))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(x)))))))))))) 3.62/2.37 3.62/2.37 ---------------------------------------- 3.62/2.37 3.62/2.37 (4) 3.62/2.37 Obligation: 3.62/2.37 Q restricted rewrite system: 3.62/2.37 The TRS R consists of the following rules: 3.62/2.37 3.62/2.37 a(a(a(a(c(b(b(x))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(x)))))))))))) 3.62/2.37 3.62/2.37 Q is empty. 3.62/2.37 3.62/2.37 ---------------------------------------- 3.62/2.37 3.62/2.37 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.62/2.37 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.62/2.37 The following rules were used to construct the certificate: 3.62/2.37 3.62/2.37 a(a(a(a(c(b(b(x))))))) -> c(b(b(a(a(c(b(b(a(a(a(a(x)))))))))))) 3.62/2.37 3.62/2.37 The certificate found is represented by the following graph. 3.62/2.37 The certificate consists of the following enumerated nodes: 3.62/2.37 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423 3.62/2.37 3.62/2.37 Node 400 is start node and node 401 is final node. 3.62/2.37 3.62/2.37 Those nodes are connected through the following edges: 3.62/2.37 3.62/2.37 * 400 to 402 labelled c_1(0)* 401 to 401 labelled #_1(0)* 402 to 403 labelled b_1(0)* 403 to 404 labelled b_1(0)* 404 to 405 labelled a_1(0)* 405 to 406 labelled a_1(0)* 406 to 407 labelled c_1(0)* 407 to 408 labelled b_1(0)* 408 to 409 labelled b_1(0)* 409 to 410 labelled a_1(0)* 409 to 413 labelled c_1(1)* 410 to 411 labelled a_1(0)* 410 to 413 labelled c_1(1)* 411 to 412 labelled a_1(0)* 411 to 413 labelled c_1(1)* 412 to 401 labelled a_1(0)* 412 to 413 labelled c_1(1)* 413 to 414 labelled b_1(1)* 414 to 415 labelled b_1(1)* 415 to 416 labelled a_1(1)* 416 to 417 labelled a_1(1)* 417 to 418 labelled c_1(1)* 418 to 419 labelled b_1(1)* 419 to 420 labelled b_1(1)* 420 to 421 labelled a_1(1)* 420 to 413 labelled c_1(1)* 421 to 422 labelled a_1(1)* 421 to 413 labelled c_1(1)* 422 to 423 labelled a_1(1)* 422 to 413 labelled c_1(1)* 423 to 401 labelled a_1(1)* 423 to 413 labelled c_1(1) 3.62/2.37 3.62/2.37 3.62/2.37 ---------------------------------------- 3.62/2.37 3.62/2.37 (6) 3.62/2.37 YES 3.62/2.39 EOF
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