Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432293425
details
property
value
status
complete
benchmark
abbcacabca-abcacabbcacab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n127.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.79416 seconds
cpu usage
4.01156
user time
3.83012
system time
0.18144
max virtual memory
1.914212E7
max residence set size
325256.0
stage attributes
key
value
starexec-result
YES
output
3.77/1.72 YES 3.77/1.76 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.77/1.76 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.77/1.76 3.77/1.76 3.77/1.76 Termination w.r.t. Q of the given QTRS could be proven: 3.77/1.76 3.77/1.76 (0) QTRS 3.77/1.76 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.77/1.76 (2) QTRS 3.77/1.76 (3) Strip Symbols Proof [SOUND, 0 ms] 3.77/1.76 (4) QTRS 3.77/1.76 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 13 ms] 3.77/1.76 (6) YES 3.77/1.76 3.77/1.76 3.77/1.76 ---------------------------------------- 3.77/1.76 3.77/1.76 (0) 3.77/1.76 Obligation: 3.77/1.76 Q restricted rewrite system: 3.77/1.76 The TRS R consists of the following rules: 3.77/1.76 3.77/1.76 a(b(b(c(a(c(a(b(c(a(x1)))))))))) -> a(b(c(a(c(a(b(b(c(a(c(a(b(x1))))))))))))) 3.77/1.76 3.77/1.76 Q is empty. 3.77/1.76 3.77/1.76 ---------------------------------------- 3.77/1.76 3.77/1.76 (1) QTRS Reverse (EQUIVALENT) 3.77/1.76 We applied the QTRS Reverse Processor [REVERSE]. 3.77/1.76 ---------------------------------------- 3.77/1.76 3.77/1.76 (2) 3.77/1.76 Obligation: 3.77/1.76 Q restricted rewrite system: 3.77/1.76 The TRS R consists of the following rules: 3.77/1.76 3.77/1.76 a(c(b(a(c(a(c(b(b(a(x1)))))))))) -> b(a(c(a(c(b(b(a(c(a(c(b(a(x1))))))))))))) 3.77/1.76 3.77/1.76 Q is empty. 3.77/1.76 3.77/1.76 ---------------------------------------- 3.77/1.76 3.77/1.76 (3) Strip Symbols Proof (SOUND) 3.77/1.76 We were given the following TRS: 3.77/1.76 3.77/1.76 a(c(b(a(c(a(c(b(b(a(x1)))))))))) -> b(a(c(a(c(b(b(a(c(a(c(b(a(x1))))))))))))) 3.77/1.76 3.77/1.76 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.77/1.76 3.77/1.76 a(c(b(a(c(a(c(b(b(x))))))))) -> b(a(c(a(c(b(b(a(c(a(c(b(x)))))))))))) 3.77/1.76 3.77/1.76 ---------------------------------------- 3.77/1.76 3.77/1.76 (4) 3.77/1.76 Obligation: 3.77/1.76 Q restricted rewrite system: 3.77/1.76 The TRS R consists of the following rules: 3.77/1.76 3.77/1.76 a(c(b(a(c(a(c(b(b(x))))))))) -> b(a(c(a(c(b(b(a(c(a(c(b(x)))))))))))) 3.77/1.76 3.77/1.76 Q is empty. 3.77/1.76 3.77/1.76 ---------------------------------------- 3.77/1.76 3.77/1.76 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.77/1.76 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. 3.77/1.76 The following rules were used to construct the certificate: 3.77/1.76 3.77/1.76 a(c(b(a(c(a(c(b(b(x))))))))) -> b(a(c(a(c(b(b(a(c(a(c(b(x)))))))))))) 3.77/1.76 3.77/1.76 The certificate found is represented by the following graph. 3.77/1.76 The certificate consists of the following enumerated nodes: 3.77/1.76 7, 8, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 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 3.77/1.76 3.77/1.76 Node 7 is start node and node 8 is final node. 3.77/1.76 3.77/1.76 Those nodes are connected through the following edges: 3.77/1.76 3.77/1.76 * 7 to 149 labelled b_1(0)* 8 to 8 labelled #_1(0)* 149 to 150 labelled a_1(0)* 150 to 151 labelled c_1(0)* 151 to 152 labelled a_1(0)* 152 to 153 labelled c_1(0)* 153 to 154 labelled b_1(0)* 154 to 155 labelled b_1(0)* 155 to 156 labelled a_1(0)* 155 to 183 labelled b_1(1)* 156 to 157 labelled c_1(0)* 157 to 158 labelled a_1(0)* 157 to 172 labelled b_1(1)* 158 to 159 labelled c_1(0)* 159 to 8 labelled b_1(0)* 172 to 173 labelled a_1(1)* 173 to 174 labelled c_1(1)* 174 to 175 labelled a_1(1)* 175 to 176 labelled c_1(1)* 176 to 177 labelled b_1(1)* 177 to 178 labelled b_1(1)* 178 to 179 labelled a_1(1)* 178 to 194 labelled b_1(2)* 179 to 180 labelled c_1(1)* 180 to 181 labelled a_1(1)* 180 to 172 labelled b_1(1)* 181 to 182 labelled c_1(1)* 182 to 8 labelled b_1(1)* 183 to 184 labelled a_1(1)* 184 to 185 labelled c_1(1)* 185 to 186 labelled a_1(1)* 186 to 187 labelled c_1(1)* 187 to 188 labelled b_1(1)* 188 to 189 labelled b_1(1)* 189 to 190 labelled a_1(1)* 189 to 194 labelled b_1(2)* 190 to 191 labelled c_1(1)* 191 to 192 labelled a_1(1)* 191 to 172 labelled b_1(1)* 192 to 193 labelled c_1(1)* 193 to 178 labelled b_1(1)* 194 to 195 labelled a_1(2)* 195 to 196 labelled c_1(2)* 196 to 197 labelled a_1(2)* 197 to 198 labelled c_1(2)* 198 to 199 labelled b_1(2)* 199 to 200 labelled b_1(2)* 200 to 201 labelled a_1(2)* 200 to 194 labelled b_1(2)* 201 to 202 labelled c_1(2)* 202 to 203 labelled a_1(2)* 202 to 172 labelled b_1(1)* 203 to 204 labelled c_1(2)* 204 to 178 labelled b_1(2) 3.77/1.76 3.77/1.76 3.77/1.76 ---------------------------------------- 3.77/1.76 3.77/1.76 (6) 3.77/1.76 YES 3.98/1.79 EOF
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS_Standard 2019-03-29 03.29