details

property	value
status	complete
benchmark	z097.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n141.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.72589 seconds
cpu usage	3.86255
user time	3.71622
system time	0.146339
max virtual memory	1.8744012E7
max residence set size	280668.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(a(b(b(x1))))) -> b(b(b(b(b(a(a(a(a(a(x1)))))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(b(a(a(a(x1))))) -> a(a(a(a(a(b(b(b(b(b(x1)))))))))) Q is empty. ---------------------------------------- (3) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. This implies Q-termination of R. The following rules were used to construct the certificate: b(b(a(a(a(x1))))) -> a(a(a(a(a(b(b(b(b(b(x1)))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211 Node 111 is start node and node 112 is final node. Those nodes are connected through the following edges: * 111 to 113 labelled a_1(0)* 112 to 112 labelled #_1(0)* 113 to 114 labelled a_1(0)* 114 to 115 labelled a_1(0)* 115 to 116 labelled a_1(0)* 116 to 117 labelled a_1(0)* 117 to 118 labelled b_1(0)* 117 to 140 labelled a_1(1)* 118 to 119 labelled b_1(0)* 118 to 131 labelled a_1(1)* 119 to 120 labelled b_1(0)* 119 to 131 labelled a_1(1)* 120 to 121 labelled b_1(0)* 120 to 122 labelled a_1(1)* 121 to 112 labelled b_1(0)* 121 to 122 labelled a_1(1)* 122 to 123 labelled a_1(1)* 123 to 124 labelled a_1(1)* 124 to 125 labelled a_1(1)* 125 to 126 labelled a_1(1)* 126 to 127 labelled b_1(1)* 126 to 158 labelled a_1(2)* 127 to 128 labelled b_1(1)* 127 to 149 labelled a_1(2)* 128 to 129 labelled b_1(1)* 128 to 149 labelled a_1(2)* 129 to 130 labelled b_1(1)* 129 to 122 labelled a_1(1)* 130 to 112 labelled b_1(1)* 130 to 122 labelled a_1(1)* 131 to 132 labelled a_1(1)* 132 to 133 labelled a_1(1)* 133 to 134 labelled a_1(1)* 134 to 135 labelled a_1(1)* 135 to 136 labelled b_1(1)* 136 to 137 labelled b_1(1)* 136 to 176 labelled a_1(2)* 137 to 138 labelled b_1(1)* 138 to 139 labelled b_1(1)* 138 to 167 labelled a_1(2)* 139 to 124 labelled b_1(1)* 140 to 141 labelled a_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 b_1(1)* 145 to 146 labelled b_1(1)* 146 to 147 labelled b_1(1)* 147 to 148 labelled b_1(1)* 148 to 133 labelled b_1(1)* 149 to 150 labelled a_1(2)* 150 to 151 labelled a_1(2)* 151 to 152 labelled a_1(2)* 152 to 153 labelled a_1(2)* 153 to 154 labelled b_1(2)* 154 to 155 labelled b_1(2)* 154 to 185 labelled a_1(3)* 155 to 156 labelled b_1(2)* 156 to 157 labelled b_1(2)* 156 to 167 labelled a_1(2)* 157 to 124 labelled b_1(2)* 158 to 159 labelled a_1(2)* 159 to 160 labelled a_1(2)* 160 to 161 labelled a_1(2)* 161 to 162 labelled a_1(2)* 162 to 163 labelled b_1(2)* 163 to 164 labelled b_1(2)* 164 to 165 labelled b_1(2)* 165 to 166 labelled b_1(2)* 166 to 151 labelled b_1(2)* 167 to 168 labelled a_1(2)* 168 to 169 labelled a_1(2)* 169 to 170 labelled a_1(2)* 170 to 171 labelled a_1(2)* 171 to 172 labelled b_1(2)* 172 to 173 labelled b_1(2)* 172 to 203 labelled a_1(3)* 173 to 174 labelled b_1(2)* 174 to 175 labelled b_1(2)* 174 to 194 labelled a_1(3)* 175 to 158 labelled b_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 a_1(2)* 180 to 181 labelled b_1(2)* 181 to 182 labelled b_1(2)* 182 to 183 labelled b_1(2)* 183 to 184 labelled b_1(2)* 184 to 169 labelled b_1(2)* 185 to 186 labelled a_1(3)* 186 to 187 labelled a_1(3)* 187 to 188 labelled a_1(3)* 188 to 189 labelled a_1(3)* 189 to 190 labelled b_1(3)* 190 to 191 labelled b_1(3)* 191 to 192 labelled b_1(3)* 192 to 193 labelled b_1(3)* 193 to 169 labelled b_1(3)* 194 to 195 labelled a_1(3)* 195 to 196 labelled a_1(3)* 196 to 197 labelled a_1(3)* 197 to 198 labelled a_1(3)* 198 to 199 labelled b_1(3)* 199 to 200 labelled b_1(3)* 200 to 201 labelled b_1(3)* 201 to 202 labelled b_1(3)* 202 to 161 labelled b_1(3)* 203 to 204 labelled a_1(3)* 204 to 205 labelled a_1(3)* 205 to 206 labelled a_1(3)* 206 to 207 labelled a_1(3)* 207 to 208 labelled b_1(3)* 208 to 209 labelled b_1(3)* 209 to 210 labelled b_1(3)* 210 to 211 labelled b_1(3)* 211 to 196 labelled b_1(3) ---------------------------------------- (4) YES popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS Standard