Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #516969022
details
property
value
status
complete
benchmark
z041.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n009.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
2.5211391449 seconds
cpu usage
7.222706952
max memory
7.71264512E8
stage attributes
key
value
output-size
3385
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 1 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(a(a(b(a(x1))))) -> a(b(a(a(b(b(a(a(b(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(b(a(a(b(x1))))) -> b(a(a(b(b(a(a(b(a(x1))))))))) 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: a(b(a(a(b(x1))))) -> b(a(a(b(b(a(a(b(a(x1))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 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, 217, 218, 219, 220 Node 179 is start node and node 180 is final node. Those nodes are connected through the following edges: * 179 to 181 labelled b_1(0)* 180 to 180 labelled #_1(0)* 181 to 182 labelled a_1(0)* 182 to 183 labelled a_1(0)* 183 to 184 labelled b_1(0)* 184 to 185 labelled b_1(0)* 185 to 186 labelled a_1(0)* 185 to 197 labelled b_1(1)* 186 to 187 labelled a_1(0)* 186 to 189 labelled b_1(1)* 187 to 188 labelled b_1(0)* 188 to 180 labelled a_1(0)* 188 to 189 labelled b_1(1)* 189 to 190 labelled a_1(1)* 190 to 191 labelled a_1(1)* 191 to 192 labelled b_1(1)* 192 to 193 labelled b_1(1)* 193 to 194 labelled a_1(1)* 193 to 205 labelled b_1(2)* 194 to 195 labelled a_1(1)* 194 to 189 labelled b_1(1)* 195 to 196 labelled b_1(1)* 196 to 180 labelled a_1(1)* 196 to 189 labelled b_1(1)* 197 to 198 labelled a_1(1)* 198 to 199 labelled a_1(1)* 199 to 200 labelled b_1(1)* 200 to 201 labelled b_1(1)* 201 to 202 labelled a_1(1)* 202 to 203 labelled a_1(1)* 203 to 204 labelled b_1(1)* 204 to 192 labelled a_1(1)* 204 to 213 labelled b_1(2)* 205 to 206 labelled a_1(2)* 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 b_1(2)* 212 to 192 labelled a_1(2)* 212 to 213 labelled b_1(2)* 213 to 214 labelled a_1(2)* 214 to 215 labelled a_1(2)* 215 to 216 labelled b_1(2)* 216 to 217 labelled b_1(2)* 217 to 218 labelled a_1(2)* 217 to 205 labelled b_1(2)* 218 to 219 labelled a_1(2)* 218 to 189 labelled b_1(1)* 219 to 220 labelled b_1(2)* 220 to 196 labelled a_1(2)* 220 to 205 labelled b_1(2) ---------------------------------------- (4) YES
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard