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SRS_Standard 2019-03-29 03.29 pair #432293761
details
property
value
status
complete
benchmark
abbcaaaaa-aaaaaabbcabbc.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.83876 seconds
cpu usage
4.19068
user time
3.98031
system time
0.210373
max virtual memory
1.9008992E7
max residence set size
360424.0
stage attributes
key
value
starexec-result
YES
output
4.04/1.78 YES 4.09/1.79 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 4.09/1.79 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.09/1.79 4.09/1.79 4.09/1.79 Termination w.r.t. Q of the given QTRS could be proven: 4.09/1.79 4.09/1.79 (0) QTRS 4.09/1.79 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.09/1.79 (2) QTRS 4.09/1.79 (3) Strip Symbols Proof [SOUND, 0 ms] 4.09/1.79 (4) QTRS 4.09/1.79 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 4.09/1.79 (6) YES 4.09/1.79 4.09/1.79 4.09/1.79 ---------------------------------------- 4.09/1.79 4.09/1.79 (0) 4.09/1.79 Obligation: 4.09/1.79 Q restricted rewrite system: 4.09/1.79 The TRS R consists of the following rules: 4.09/1.79 4.09/1.79 a(b(b(c(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(b(c(a(b(b(c(x1))))))))))))) 4.09/1.79 4.09/1.79 Q is empty. 4.09/1.79 4.09/1.79 ---------------------------------------- 4.09/1.79 4.09/1.79 (1) QTRS Reverse (EQUIVALENT) 4.09/1.79 We applied the QTRS Reverse Processor [REVERSE]. 4.09/1.79 ---------------------------------------- 4.09/1.79 4.09/1.79 (2) 4.09/1.79 Obligation: 4.09/1.79 Q restricted rewrite system: 4.09/1.79 The TRS R consists of the following rules: 4.09/1.79 4.09/1.79 a(a(a(a(a(c(b(b(a(x1))))))))) -> c(b(b(a(c(b(b(a(a(a(a(a(a(x1))))))))))))) 4.09/1.79 4.09/1.79 Q is empty. 4.09/1.79 4.09/1.79 ---------------------------------------- 4.09/1.79 4.09/1.79 (3) Strip Symbols Proof (SOUND) 4.09/1.79 We were given the following TRS: 4.09/1.79 4.09/1.79 a(a(a(a(a(c(b(b(a(x1))))))))) -> c(b(b(a(c(b(b(a(a(a(a(a(a(x1))))))))))))) 4.09/1.79 4.09/1.79 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.09/1.79 4.09/1.79 a(a(a(a(a(c(b(b(x)))))))) -> c(b(b(a(c(b(b(a(a(a(a(a(x)))))))))))) 4.09/1.79 4.09/1.79 ---------------------------------------- 4.09/1.79 4.09/1.79 (4) 4.09/1.79 Obligation: 4.09/1.79 Q restricted rewrite system: 4.09/1.79 The TRS R consists of the following rules: 4.09/1.79 4.09/1.79 a(a(a(a(a(c(b(b(x)))))))) -> c(b(b(a(c(b(b(a(a(a(a(a(x)))))))))))) 4.09/1.79 4.09/1.79 Q is empty. 4.09/1.79 4.09/1.79 ---------------------------------------- 4.09/1.79 4.09/1.79 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.09/1.79 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.09/1.79 The following rules were used to construct the certificate: 4.09/1.79 4.09/1.79 a(a(a(a(a(c(b(b(x)))))))) -> c(b(b(a(c(b(b(a(a(a(a(a(x)))))))))))) 4.09/1.79 4.09/1.79 The certificate found is represented by the following graph. 4.09/1.79 The certificate consists of the following enumerated nodes: 4.09/1.79 388, 389, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519 4.09/1.79 4.09/1.79 Node 388 is start node and node 389 is final node. 4.09/1.79 4.09/1.79 Those nodes are connected through the following edges: 4.09/1.79 4.09/1.79 * 388 to 498 labelled c_1(0)* 389 to 389 labelled #_1(0)* 498 to 499 labelled b_1(0)* 499 to 500 labelled b_1(0)* 500 to 501 labelled a_1(0)* 501 to 502 labelled c_1(0)* 502 to 503 labelled b_1(0)* 503 to 504 labelled b_1(0)* 504 to 505 labelled a_1(0)* 504 to 509 labelled c_1(1)* 505 to 506 labelled a_1(0)* 505 to 509 labelled c_1(1)* 506 to 507 labelled a_1(0)* 506 to 509 labelled c_1(1)* 507 to 508 labelled a_1(0)* 507 to 509 labelled c_1(1)* 508 to 389 labelled a_1(0)* 508 to 509 labelled c_1(1)* 509 to 510 labelled b_1(1)* 510 to 511 labelled b_1(1)* 511 to 512 labelled a_1(1)* 512 to 513 labelled c_1(1)* 513 to 514 labelled b_1(1)* 514 to 515 labelled b_1(1)* 515 to 516 labelled a_1(1)* 515 to 509 labelled c_1(1)* 516 to 517 labelled a_1(1)* 516 to 509 labelled c_1(1)* 517 to 518 labelled a_1(1)* 517 to 509 labelled c_1(1)* 518 to 519 labelled a_1(1)* 518 to 509 labelled c_1(1)* 519 to 389 labelled a_1(1)* 519 to 509 labelled c_1(1) 4.09/1.79 4.09/1.79 4.09/1.79 ---------------------------------------- 4.09/1.79 4.09/1.79 (6) 4.09/1.79 YES 4.16/1.83 EOF
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