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SRS_Standard 2019-03-29 03.29 pair #432292663
details
property
value
status
complete
benchmark
baabbaab-aabbaabaabaabb.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n009.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.75447 seconds
cpu usage
3.33636
user time
3.1891
system time
0.147264
max virtual memory
1.8477028E7
max residence set size
240200.0
stage attributes
key
value
starexec-result
YES
output
3.13/1.70 YES 3.13/1.72 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.13/1.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.13/1.72 3.13/1.72 3.13/1.72 Termination w.r.t. Q of the given QTRS could be proven: 3.13/1.72 3.13/1.72 (0) QTRS 3.13/1.72 (1) Strip Symbols Proof [SOUND, 0 ms] 3.13/1.72 (2) QTRS 3.13/1.72 (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.13/1.72 (4) YES 3.13/1.72 3.13/1.72 3.13/1.72 ---------------------------------------- 3.13/1.72 3.13/1.72 (0) 3.13/1.72 Obligation: 3.13/1.72 Q restricted rewrite system: 3.13/1.72 The TRS R consists of the following rules: 3.13/1.72 3.13/1.72 b(a(a(b(b(a(a(b(x1)))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(b(x1)))))))))))))) 3.13/1.72 3.13/1.72 Q is empty. 3.13/1.72 3.13/1.72 ---------------------------------------- 3.13/1.72 3.13/1.72 (1) Strip Symbols Proof (SOUND) 3.13/1.72 We were given the following TRS: 3.13/1.72 3.13/1.72 b(a(a(b(b(a(a(b(x1)))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(b(x1)))))))))))))) 3.13/1.72 3.13/1.72 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.13/1.72 3.13/1.72 b(a(a(b(b(a(a(x))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(x))))))))))))) 3.13/1.72 3.13/1.72 ---------------------------------------- 3.13/1.72 3.13/1.72 (2) 3.13/1.72 Obligation: 3.13/1.72 Q restricted rewrite system: 3.13/1.72 The TRS R consists of the following rules: 3.13/1.72 3.13/1.72 b(a(a(b(b(a(a(x))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(x))))))))))))) 3.13/1.72 3.13/1.72 Q is empty. 3.13/1.72 3.13/1.72 ---------------------------------------- 3.13/1.72 3.13/1.72 (3) RFCMatchBoundsTRSProof (EQUIVALENT) 3.13/1.72 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.13/1.72 The following rules were used to construct the certificate: 3.13/1.72 3.13/1.72 b(a(a(b(b(a(a(x))))))) -> a(a(b(b(a(a(b(a(a(b(a(a(b(x))))))))))))) 3.13/1.72 3.13/1.72 The certificate found is represented by the following graph. 3.13/1.72 The certificate consists of the following enumerated nodes: 3.13/1.72 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119 3.13/1.72 3.13/1.72 Node 94 is start node and node 95 is final node. 3.13/1.72 3.13/1.72 Those nodes are connected through the following edges: 3.13/1.72 3.13/1.72 * 94 to 96 labelled a_1(0)* 95 to 95 labelled #_1(0)* 96 to 97 labelled a_1(0)* 97 to 98 labelled b_1(0)* 98 to 99 labelled b_1(0)* 99 to 100 labelled a_1(0)* 100 to 101 labelled a_1(0)* 101 to 102 labelled b_1(0)* 102 to 103 labelled a_1(0)* 103 to 104 labelled a_1(0)* 104 to 105 labelled b_1(0)* 104 to 108 labelled a_1(1)* 105 to 106 labelled a_1(0)* 106 to 107 labelled a_1(0)* 107 to 95 labelled b_1(0)* 107 to 108 labelled a_1(1)* 108 to 109 labelled a_1(1)* 109 to 110 labelled b_1(1)* 110 to 111 labelled b_1(1)* 111 to 112 labelled a_1(1)* 112 to 113 labelled a_1(1)* 113 to 114 labelled b_1(1)* 114 to 115 labelled a_1(1)* 115 to 116 labelled a_1(1)* 116 to 117 labelled b_1(1)* 116 to 108 labelled a_1(1)* 117 to 118 labelled a_1(1)* 118 to 119 labelled a_1(1)* 119 to 95 labelled b_1(1)* 119 to 108 labelled a_1(1) 3.13/1.72 3.13/1.72 3.13/1.72 ---------------------------------------- 3.13/1.72 3.13/1.72 (4) 3.13/1.72 YES 3.32/1.75 EOF
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