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SRS Stand 10685 pair #381719138
details
property
value
status
complete
benchmark
abccaaaaa-aaaaaabccabcc.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n111.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.67456507683 seconds
cpu usage
3.697502134
max memory
2.0420608E8
stage attributes
key
value
output-size
3450
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4) QTRS (5) RFCMatchBoundsTRSProof [EQUIVALENT, 2 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(c(c(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(c(c(a(b(c(c(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: a(a(a(a(a(c(c(b(a(x1))))))))) -> c(c(b(a(c(c(b(a(a(a(a(a(a(x1))))))))))))) Q is empty. ---------------------------------------- (3) Strip Symbols Proof (SOUND) We were given the following TRS: a(a(a(a(a(c(c(b(a(x1))))))))) -> c(c(b(a(c(c(b(a(a(a(a(a(a(x1))))))))))))) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: a(a(a(a(a(c(c(b(x)))))))) -> c(c(b(a(c(c(b(a(a(a(a(a(x)))))))))))) ---------------------------------------- (4) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(a(a(a(c(c(b(x)))))))) -> c(c(b(a(c(c(b(a(a(a(a(a(x)))))))))))) Q is empty. ---------------------------------------- (5) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. The following rules were used to construct the certificate: a(a(a(a(a(c(c(b(x)))))))) -> c(c(b(a(c(c(b(a(a(a(a(a(x)))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186 Node 163 is start node and node 164 is final node. Those nodes are connected through the following edges: * 163 to 165 labelled c_1(0)* 164 to 164 labelled #_1(0)* 165 to 166 labelled c_1(0)* 166 to 167 labelled b_1(0)* 167 to 168 labelled a_1(0)* 168 to 169 labelled c_1(0)* 169 to 170 labelled c_1(0)* 170 to 171 labelled b_1(0)* 171 to 172 labelled a_1(0)* 171 to 176 labelled c_1(1)* 172 to 173 labelled a_1(0)* 172 to 176 labelled c_1(1)* 173 to 174 labelled a_1(0)* 173 to 176 labelled c_1(1)* 174 to 175 labelled a_1(0)* 174 to 176 labelled c_1(1)* 175 to 164 labelled a_1(0)* 175 to 176 labelled c_1(1)* 176 to 177 labelled c_1(1)* 177 to 178 labelled b_1(1)* 178 to 179 labelled a_1(1)* 179 to 180 labelled c_1(1)* 180 to 181 labelled c_1(1)* 181 to 182 labelled b_1(1)* 182 to 183 labelled a_1(1)* 182 to 176 labelled c_1(1)* 183 to 184 labelled a_1(1)* 183 to 176 labelled c_1(1)* 184 to 185 labelled a_1(1)* 184 to 176 labelled c_1(1)* 185 to 186 labelled a_1(1)* 185 to 176 labelled c_1(1)* 186 to 164 labelled a_1(1)* 186 to 176 labelled c_1(1) ---------------------------------------- (6) YES
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