details

property	value
status	complete
benchmark	baabbaaaab-aabbaaaabbaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n168.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.80179 seconds
cpu usage	3.93287
user time	3.74892
system time	0.183945
max virtual memory	1.9143148E7
max residence set size	339320.0

stage attributes

key	value
starexec-result	YES

output

3.84/1.75 YES 3.84/1.77 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.84/1.77 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.84/1.77 3.84/1.77 3.84/1.77 Termination w.r.t. Q of the given QTRS could be proven: 3.84/1.77 3.84/1.77 (0) QTRS 3.84/1.77 (1) Strip Symbols Proof [SOUND, 0 ms] 3.84/1.77 (2) QTRS 3.84/1.77 (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.84/1.77 (4) YES 3.84/1.77 3.84/1.77 3.84/1.77 ---------------------------------------- 3.84/1.77 3.84/1.77 (0) 3.84/1.77 Obligation: 3.84/1.77 Q restricted rewrite system: 3.84/1.77 The TRS R consists of the following rules: 3.84/1.77 3.84/1.77 b(a(a(b(b(a(a(a(a(b(x1)))))))))) -> a(a(b(b(a(a(a(a(b(b(a(a(b(x1))))))))))))) 3.84/1.77 3.84/1.77 Q is empty. 3.84/1.77 3.84/1.77 ---------------------------------------- 3.84/1.77 3.84/1.77 (1) Strip Symbols Proof (SOUND) 3.84/1.77 We were given the following TRS: 3.84/1.77 3.84/1.77 b(a(a(b(b(a(a(a(a(b(x1)))))))))) -> a(a(b(b(a(a(a(a(b(b(a(a(b(x1))))))))))))) 3.84/1.77 3.84/1.77 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.84/1.77 3.84/1.77 b(a(a(b(b(a(a(a(a(x))))))))) -> a(a(b(b(a(a(a(a(b(b(a(a(x)))))))))))) 3.84/1.77 3.84/1.77 ---------------------------------------- 3.84/1.77 3.84/1.77 (2) 3.84/1.77 Obligation: 3.84/1.77 Q restricted rewrite system: 3.84/1.77 The TRS R consists of the following rules: 3.84/1.77 3.84/1.77 b(a(a(b(b(a(a(a(a(x))))))))) -> a(a(b(b(a(a(a(a(b(b(a(a(x)))))))))))) 3.84/1.77 3.84/1.77 Q is empty. 3.84/1.77 3.84/1.77 ---------------------------------------- 3.84/1.77 3.84/1.77 (3) RFCMatchBoundsTRSProof (EQUIVALENT) 3.84/1.77 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. 3.84/1.77 The following rules were used to construct the certificate: 3.84/1.77 3.84/1.77 b(a(a(b(b(a(a(a(a(x))))))))) -> a(a(b(b(a(a(a(a(b(b(a(a(x)))))))))))) 3.84/1.77 3.84/1.77 The certificate found is represented by the following graph. 3.84/1.77 The certificate consists of the following enumerated nodes: 3.84/1.77 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182 3.84/1.77 3.84/1.77 Node 125 is start node and node 126 is final node. 3.84/1.77 3.84/1.77 Those nodes are connected through the following edges: 3.84/1.77 3.84/1.77 * 125 to 127 labelled a_1(0)* 126 to 126 labelled #_1(0)* 127 to 128 labelled a_1(0)* 128 to 129 labelled b_1(0)* 129 to 130 labelled b_1(0)* 130 to 131 labelled a_1(0)* 131 to 132 labelled a_1(0)* 132 to 133 labelled a_1(0)* 133 to 134 labelled a_1(0)* 134 to 135 labelled b_1(0)* 134 to 161 labelled a_1(1)* 135 to 136 labelled b_1(0)* 135 to 138 labelled a_1(1)* 136 to 137 labelled a_1(0)* 137 to 126 labelled a_1(0)* 138 to 139 labelled a_1(1)* 139 to 140 labelled b_1(1)* 140 to 141 labelled b_1(1)* 141 to 142 labelled a_1(1)* 142 to 143 labelled a_1(1)* 143 to 144 labelled a_1(1)* 144 to 145 labelled a_1(1)* 145 to 146 labelled b_1(1)* 145 to 172 labelled a_1(2)* 146 to 147 labelled b_1(1)* 146 to 138 labelled a_1(1)* 147 to 148 labelled a_1(1)* 148 to 126 labelled a_1(1)* 161 to 162 labelled a_1(1)* 162 to 163 labelled b_1(1)* 163 to 164 labelled b_1(1)* 164 to 165 labelled a_1(1)* 165 to 166 labelled a_1(1)* 166 to 167 labelled a_1(1)* 167 to 168 labelled a_1(1)* 168 to 169 labelled b_1(1)* 168 to 172 labelled a_1(2)* 169 to 170 labelled b_1(1)* 169 to 138 labelled a_1(1)* 170 to 171 labelled a_1(1)* 171 to 145 labelled a_1(1)* 172 to 173 labelled a_1(2)* 173 to 174 labelled b_1(2)* 174 to 175 labelled b_1(2)* 175 to 176 labelled a_1(2)* 176 to 177 labelled a_1(2)* 177 to 178 labelled a_1(2)* 178 to 179 labelled a_1(2)* 179 to 180 labelled b_1(2)* 179 to 172 labelled a_1(2)* 180 to 181 labelled b_1(2)* 180 to 138 labelled a_1(1)* 181 to 182 labelled a_1(2)* 182 to 145 labelled a_1(2) 3.84/1.77 3.84/1.77 3.84/1.77 ---------------------------------------- 3.84/1.77 3.84/1.77 (4) 3.84/1.77 YES 3.84/1.80 EOF popout

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