details

property	value
status	complete
benchmark	baababaaab-ababaaababaab.srs.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n054.star.cs.uiowa.edu
space	Wenzel_16

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.66461 seconds
cpu usage	3.83233
user time	3.6738
system time	0.15853
max virtual memory	1.8809096E7
max residence set size	298272.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) Strip Symbols Proof [SOUND, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0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: b(a(a(b(a(b(a(a(a(b(x1)))))))))) -> a(b(a(b(a(a(a(b(a(b(a(a(b(x1))))))))))))) Q is empty. ---------------------------------------- (1) Strip Symbols Proof (SOUND) We were given the following TRS: b(a(a(b(a(b(a(a(a(b(x1)))))))))) -> a(b(a(b(a(a(a(b(a(b(a(a(b(x1))))))))))))) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: b(a(a(b(a(b(a(a(a(x))))))))) -> a(b(a(b(a(a(a(b(a(b(a(a(x)))))))))))) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(a(a(b(a(b(a(a(a(x))))))))) -> a(b(a(b(a(a(a(b(a(b(a(a(x)))))))))))) Q is empty. ---------------------------------------- (3) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: b(a(a(b(a(b(a(a(a(x))))))))) -> a(b(a(b(a(a(a(b(a(b(a(a(x)))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 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, 212, 213, 214, 215, 216 Node 171 is start node and node 172 is final node. Those nodes are connected through the following edges: * 171 to 173 labelled a_1(0)* 172 to 172 labelled #_1(0)* 173 to 174 labelled b_1(0)* 174 to 175 labelled a_1(0)* 175 to 176 labelled b_1(0)* 176 to 177 labelled a_1(0)* 177 to 178 labelled a_1(0)* 178 to 179 labelled a_1(0)* 179 to 180 labelled b_1(0)* 179 to 195 labelled a_1(1)* 180 to 181 labelled a_1(0)* 181 to 182 labelled b_1(0)* 181 to 184 labelled a_1(1)* 182 to 183 labelled a_1(0)* 183 to 172 labelled a_1(0)* 184 to 185 labelled b_1(1)* 185 to 186 labelled a_1(1)* 186 to 187 labelled b_1(1)* 187 to 188 labelled a_1(1)* 188 to 189 labelled a_1(1)* 189 to 190 labelled a_1(1)* 190 to 191 labelled b_1(1)* 190 to 206 labelled a_1(2)* 191 to 192 labelled a_1(1)* 192 to 193 labelled b_1(1)* 192 to 184 labelled a_1(1)* 193 to 194 labelled a_1(1)* 194 to 172 labelled a_1(1)* 195 to 196 labelled b_1(1)* 196 to 197 labelled a_1(1)* 197 to 198 labelled b_1(1)* 198 to 199 labelled a_1(1)* 199 to 200 labelled a_1(1)* 200 to 201 labelled a_1(1)* 201 to 202 labelled b_1(1)* 201 to 206 labelled a_1(2)* 202 to 203 labelled a_1(1)* 203 to 204 labelled b_1(1)* 203 to 184 labelled a_1(1)* 204 to 205 labelled a_1(1)* 205 to 190 labelled a_1(1)* 206 to 207 labelled b_1(2)* 207 to 208 labelled a_1(2)* 208 to 209 labelled b_1(2)* 209 to 210 labelled a_1(2)* 210 to 211 labelled a_1(2)* 211 to 212 labelled a_1(2)* 212 to 213 labelled b_1(2)* 212 to 206 labelled a_1(2)* 213 to 214 labelled a_1(2)* 214 to 215 labelled b_1(2)* 214 to 184 labelled a_1(1)* 215 to 216 labelled a_1(2)* 216 to 190 labelled a_1(2) ---------------------------------------- (4) YES popout

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