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SRS_Standard 2019-03-29 03.29 pair #432289171
details
property
value
status
complete
benchmark
torpa1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Secret_05_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.93498 seconds
cpu usage
3.9489
user time
3.78294
system time
0.165963
max virtual memory
1.867674E7
max residence set size
279324.0
stage attributes
key
value
starexec-result
YES
output
3.75/1.72 YES 3.93/1.82 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.93/1.82 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.93/1.82 3.93/1.82 3.93/1.82 Termination w.r.t. Q of the given QTRS could be proven: 3.93/1.82 3.93/1.82 (0) QTRS 3.93/1.82 (1) RFCMatchBoundsTRSProof [EQUIVALENT, 36 ms] 3.93/1.82 (2) YES 3.93/1.82 3.93/1.82 3.93/1.82 ---------------------------------------- 3.93/1.82 3.93/1.82 (0) 3.93/1.82 Obligation: 3.93/1.82 Q restricted rewrite system: 3.93/1.82 The TRS R consists of the following rules: 3.93/1.82 3.93/1.82 a(d(x1)) -> d(b(c(b(d(x1))))) 3.93/1.82 a(x1) -> b(b(f(b(b(x1))))) 3.93/1.82 b(d(b(x1))) -> a(d(x1)) 3.93/1.82 d(f(x1)) -> b(d(x1)) 3.93/1.82 3.93/1.82 Q is empty. 3.93/1.82 3.93/1.82 ---------------------------------------- 3.93/1.82 3.93/1.82 (1) RFCMatchBoundsTRSProof (EQUIVALENT) 3.93/1.82 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 4. This implies Q-termination of R. 3.93/1.82 The following rules were used to construct the certificate: 3.93/1.82 3.93/1.82 a(d(x1)) -> d(b(c(b(d(x1))))) 3.93/1.82 a(x1) -> b(b(f(b(b(x1))))) 3.93/1.82 b(d(b(x1))) -> a(d(x1)) 3.93/1.82 d(f(x1)) -> b(d(x1)) 3.93/1.82 3.93/1.82 The certificate found is represented by the following graph. 3.93/1.82 The certificate consists of the following enumerated nodes: 3.93/1.82 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 37, 38, 39, 40, 41, 42, 43, 44, 45, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155 3.93/1.82 3.93/1.82 Node 1 is start node and node 2 is final node. 3.93/1.82 3.93/1.82 Those nodes are connected through the following edges: 3.93/1.82 3.93/1.82 * 1 to 3 labelled d_1(0)* 1 to 7 labelled b_1(0)* 1 to 6 labelled a_1(0), b_1(0)* 1 to 11 labelled b_1(1)* 1 to 15 labelled d_1(1)* 1 to 18 labelled a_1(1)* 1 to 37 labelled b_1(2)* 1 to 41 labelled d_1(2)* 1 to 45 labelled a_1(1)* 1 to 83 labelled b_1(2)* 1 to 87 labelled d_1(2)* 2 to 2 labelled #_1(0)* 3 to 4 labelled b_1(0)* 4 to 5 labelled c_1(0)* 5 to 6 labelled b_1(0)* 5 to 18 labelled a_1(1)* 5 to 37 labelled b_1(2)* 5 to 41 labelled d_1(2)* 5 to 45 labelled a_1(1)* 5 to 83 labelled b_1(2)* 5 to 87 labelled d_1(2)* 6 to 2 labelled d_1(0)* 6 to 18 labelled b_1(1), a_1(1)* 6 to 37 labelled b_1(2)* 6 to 41 labelled d_1(2)* 6 to 90 labelled a_1(2)* 6 to 91 labelled b_1(3)* 6 to 144 labelled d_1(3)* 6 to 87 labelled d_1(2)* 7 to 8 labelled b_1(0)* 8 to 9 labelled f_1(0)* 9 to 10 labelled b_1(0)* 9 to 45 labelled a_1(1)* 9 to 83 labelled b_1(2)* 9 to 87 labelled d_1(2)* 9 to 18 labelled a_1(1)* 9 to 37 labelled b_1(2)* 9 to 41 labelled d_1(2)* 10 to 2 labelled b_1(0)* 10 to 18 labelled a_1(1)* 10 to 37 labelled b_1(2)* 10 to 41 labelled d_1(2)* 10 to 87 labelled d_1(2)* 11 to 12 labelled b_1(1)* 12 to 13 labelled f_1(1)* 13 to 14 labelled b_1(1)* 13 to 90 labelled a_1(2)* 13 to 91 labelled b_1(3)* 13 to 144 labelled d_1(3)* 14 to 6 labelled b_1(1)* 14 to 18 labelled a_1(1)* 14 to 37 labelled b_1(2)* 14 to 41 labelled d_1(2)* 14 to 90 labelled a_1(2)* 14 to 91 labelled b_1(3)* 14 to 144 labelled d_1(3)* 14 to 87 labelled d_1(2)* 15 to 16 labelled b_1(1)* 16 to 17 labelled c_1(1)* 17 to 18 labelled b_1(1), a_1(1)* 17 to 37 labelled b_1(2)* 17 to 41 labelled d_1(2)* 17 to 90 labelled a_1(2)* 17 to 91 labelled b_1(3)* 17 to 144 labelled d_1(3)* 17 to 87 labelled d_1(2)* 18 to 2 labelled d_1(1)* 18 to 18 labelled b_1(1), a_1(1)* 18 to 37 labelled b_1(2)* 18 to 41 labelled d_1(1), d_1(2)* 18 to 90 labelled a_1(2)* 18 to 91 labelled b_1(3)* 18 to 144 labelled d_1(3), d_1(1)* 18 to 145 labelled d_1(1)* 18 to 87 labelled d_1(2), d_1(1)* 18 to 88 labelled d_1(1)* 37 to 38 labelled b_1(2)* 38 to 39 labelled f_1(2)* 39 to 40 labelled b_1(2)* 39 to 147 labelled a_1(3)* 39 to 148 labelled b_1(4)* 39 to 152 labelled d_1(4)* 40 to 18 labelled b_1(2), a_1(1)* 40 to 37 labelled b_1(2)* 40 to 41 labelled d_1(2)* 40 to 90 labelled a_1(2)* 40 to 147 labelled a_1(3)* 40 to 91 labelled b_1(3)* 40 to 148 labelled b_1(4)* 40 to 144 labelled d_1(3)* 40 to 152 labelled d_1(4)* 40 to 87 labelled d_1(2)* 41 to 42 labelled b_1(2)* 42 to 43 labelled c_1(2)* 43 to 44 labelled b_1(2)* 43 to 18 labelled a_1(1)* 43 to 37 labelled b_1(2)* 43 to 41 labelled d_1(2)* 43 to 147 labelled a_1(3)* 43 to 148 labelled b_1(4)* 43 to 152 labelled d_1(4)* 43 to 87 labelled d_1(2)* 44 to 2 labelled d_1(2)* 44 to 18 labelled b_1(1), a_1(1)* 44 to 37 labelled b_1(2)* 44 to 41 labelled d_1(2)* 44 to 90 labelled a_1(2)* 44 to 91 labelled b_1(3)* 44 to 144 labelled d_1(3), d_1(2)* 44 to 87 labelled d_1(2)* 45 to 42 labelled d_1(1)* 83 to 84 labelled b_1(2)* 84 to 85 labelled f_1(2)* 85 to 86 labelled b_1(2)* 86 to 45 labelled b_1(2)* 87 to 88 labelled b_1(2)* 88 to 89 labelled c_1(2)* 89 to 90 labelled b_1(2)* 90 to 42 labelled d_1(2)* 90 to 145 labelled d_1(2)* 90 to 88 labelled d_1(2)* 91 to 92 labelled b_1(3)* 92 to 93 labelled f_1(3)* 93 to 94 labelled b_1(3)* 94 to 90 labelled b_1(3)* 144 to 145 labelled b_1(3)* 145 to 146 labelled c_1(3)* 146 to 147 labelled b_1(3)* 147 to 42 labelled d_1(3)* 147 to 145 labelled d_1(3)* 147 to 153 labelled d_1(3)* 147 to 88 labelled d_1(3)* 148 to 149 labelled b_1(4)* 149 to 150 labelled f_1(4)* 150 to 151 labelled b_1(4)* 151 to 147 labelled b_1(4)* 152 to 153 labelled b_1(4)* 153 to 154 labelled c_1(4)* 154 to 155 labelled b_1(4)* 155 to 42 labelled d_1(4)* 155 to 145 labelled d_1(4)* 155 to 153 labelled d_1(4)* 155 to 88 labelled d_1(4) 3.93/1.82 3.93/1.82 3.93/1.82 ---------------------------------------- 3.93/1.82 3.93/1.82 (2) 3.93/1.82 YES 3.94/1.93 EOF
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