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SRS_Standard 2019-03-29 03.29 pair #432292753
details
property
value
status
complete
benchmark
abbaaaaa-aaaaaabbabb.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.86627 seconds
cpu usage
4.20065
user time
4.00524
system time
0.195412
max virtual memory
1.927422E7
max residence set size
401708.0
stage attributes
key
value
starexec-result
YES
output
3.99/1.80 YES 4.09/1.81 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 4.09/1.81 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.09/1.81 4.09/1.81 4.09/1.81 Termination w.r.t. Q of the given QTRS could be proven: 4.09/1.81 4.09/1.81 (0) QTRS 4.09/1.81 (1) QTRS Reverse [EQUIVALENT, 0 ms] 4.09/1.81 (2) QTRS 4.09/1.81 (3) Strip Symbols Proof [SOUND, 0 ms] 4.09/1.81 (4) QTRS 4.09/1.81 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 2 ms] 4.09/1.81 (6) YES 4.09/1.81 4.09/1.81 4.09/1.81 ---------------------------------------- 4.09/1.81 4.09/1.81 (0) 4.09/1.81 Obligation: 4.09/1.81 Q restricted rewrite system: 4.09/1.81 The TRS R consists of the following rules: 4.09/1.81 4.09/1.81 a(b(b(a(a(a(a(a(x1)))))))) -> a(a(a(a(a(a(b(b(a(b(b(x1))))))))))) 4.09/1.81 4.09/1.81 Q is empty. 4.09/1.81 4.09/1.81 ---------------------------------------- 4.09/1.81 4.09/1.81 (1) QTRS Reverse (EQUIVALENT) 4.09/1.81 We applied the QTRS Reverse Processor [REVERSE]. 4.09/1.81 ---------------------------------------- 4.09/1.81 4.09/1.81 (2) 4.09/1.81 Obligation: 4.09/1.81 Q restricted rewrite system: 4.09/1.81 The TRS R consists of the following rules: 4.09/1.81 4.09/1.81 a(a(a(a(a(b(b(a(x1)))))))) -> b(b(a(b(b(a(a(a(a(a(a(x1))))))))))) 4.09/1.81 4.09/1.81 Q is empty. 4.09/1.81 4.09/1.81 ---------------------------------------- 4.09/1.81 4.09/1.81 (3) Strip Symbols Proof (SOUND) 4.09/1.81 We were given the following TRS: 4.09/1.81 4.09/1.81 a(a(a(a(a(b(b(a(x1)))))))) -> b(b(a(b(b(a(a(a(a(a(a(x1))))))))))) 4.09/1.81 4.09/1.81 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 4.09/1.81 4.09/1.81 a(a(a(a(a(b(b(x))))))) -> b(b(a(b(b(a(a(a(a(a(x)))))))))) 4.09/1.81 4.09/1.81 ---------------------------------------- 4.09/1.81 4.09/1.81 (4) 4.09/1.81 Obligation: 4.09/1.81 Q restricted rewrite system: 4.09/1.81 The TRS R consists of the following rules: 4.09/1.81 4.09/1.81 a(a(a(a(a(b(b(x))))))) -> b(b(a(b(b(a(a(a(a(a(x)))))))))) 4.09/1.81 4.09/1.81 Q is empty. 4.09/1.81 4.09/1.81 ---------------------------------------- 4.09/1.81 4.09/1.81 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 4.09/1.81 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 4.09/1.81 The following rules were used to construct the certificate: 4.09/1.81 4.09/1.81 a(a(a(a(a(b(b(x))))))) -> b(b(a(b(b(a(a(a(a(a(x)))))))))) 4.09/1.81 4.09/1.81 The certificate found is represented by the following graph. 4.09/1.81 The certificate consists of the following enumerated nodes: 4.09/1.81 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508 4.09/1.81 4.09/1.81 Node 489 is start node and node 490 is final node. 4.09/1.81 4.09/1.81 Those nodes are connected through the following edges: 4.09/1.81 4.09/1.81 * 489 to 491 labelled b_1(0)* 490 to 490 labelled #_1(0)* 491 to 492 labelled b_1(0)* 492 to 493 labelled a_1(0)* 493 to 494 labelled b_1(0)* 494 to 495 labelled b_1(0)* 495 to 496 labelled a_1(0)* 495 to 500 labelled b_1(1)* 496 to 497 labelled a_1(0)* 496 to 500 labelled b_1(1)* 497 to 498 labelled a_1(0)* 497 to 500 labelled b_1(1)* 498 to 499 labelled a_1(0)* 498 to 500 labelled b_1(1)* 499 to 490 labelled a_1(0)* 499 to 500 labelled b_1(1)* 500 to 501 labelled b_1(1)* 501 to 502 labelled a_1(1)* 502 to 503 labelled b_1(1)* 503 to 504 labelled b_1(1)* 504 to 505 labelled a_1(1)* 504 to 500 labelled b_1(1)* 505 to 506 labelled a_1(1)* 505 to 500 labelled b_1(1)* 506 to 507 labelled a_1(1)* 506 to 500 labelled b_1(1)* 507 to 508 labelled a_1(1)* 507 to 500 labelled b_1(1)* 508 to 490 labelled a_1(1)* 508 to 500 labelled b_1(1) 4.09/1.81 4.09/1.81 4.09/1.81 ---------------------------------------- 4.09/1.81 4.09/1.81 (6) 4.09/1.81 YES 4.16/1.86 EOF
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