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SRS Standard pair #487517933
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
n129.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.75855112076 seconds
cpu usage
4.162378296
max memory
3.5704832E8
stage attributes
key
value
output-size
3746
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) Strip Symbols Proof [SOUND, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0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(b(a(a(a(a(b(x1)))))))))) -> a(a(b(b(a(a(a(a(b(b(a(a(b(x1))))))))))))) Q is empty. ---------------------------------------- (1) Strip Symbols Proof (SOUND) We were given the following TRS: 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))))))))))))) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: b(a(a(b(b(a(a(a(a(x))))))))) -> a(a(b(b(a(a(a(a(b(b(a(a(x)))))))))))) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(a(a(b(b(a(a(a(a(x))))))))) -> a(a(b(b(a(a(a(a(b(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(b(a(a(a(a(x))))))))) -> a(a(b(b(a(a(a(a(b(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 a_1(0)* 174 to 175 labelled b_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 a_1(0)* 180 to 181 labelled b_1(0)* 180 to 195 labelled a_1(1)* 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 a_1(1)* 185 to 186 labelled b_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 a_1(1)* 191 to 192 labelled b_1(1)* 191 to 206 labelled a_1(2)* 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 a_1(1)* 196 to 197 labelled b_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 a_1(1)* 202 to 203 labelled b_1(1)* 202 to 206 labelled a_1(2)* 203 to 204 labelled b_1(1)* 203 to 184 labelled a_1(1)* 204 to 205 labelled a_1(1)* 205 to 191 labelled a_1(1)* 206 to 207 labelled a_1(2)* 207 to 208 labelled b_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 a_1(2)* 213 to 214 labelled b_1(2)* 213 to 206 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 191 labelled a_1(2) ---------------------------------------- (4) YES
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