Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487517939
details
property
value
status
complete
benchmark
abaaaaa-aaaaaabaabaaab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.85814905167 seconds
cpu usage
3.905683405
max memory
3.21548288E8
stage attributes
key
value
output-size
3502
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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, 3 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(a(a(a(a(a(x1))))))) -> a(a(a(a(a(a(b(a(a(b(a(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(a(a(a(a(b(a(x1))))))) -> b(a(a(a(b(a(a(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(b(a(x1))))))) -> b(a(a(a(b(a(a(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(b(x)))))) -> b(a(a(a(b(a(a(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(b(x)))))) -> b(a(a(a(b(a(a(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(b(x)))))) -> b(a(a(a(b(a(a(b(a(a(a(a(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295 Node 270 is start node and node 271 is final node. Those nodes are connected through the following edges: * 270 to 272 labelled b_1(0)* 271 to 271 labelled #_1(0)* 272 to 273 labelled a_1(0)* 273 to 274 labelled a_1(0)* 274 to 275 labelled a_1(0)* 275 to 276 labelled b_1(0)* 276 to 277 labelled a_1(0)* 277 to 278 labelled a_1(0)* 278 to 279 labelled b_1(0)* 279 to 280 labelled a_1(0)* 279 to 284 labelled b_1(1)* 280 to 281 labelled a_1(0)* 280 to 284 labelled b_1(1)* 281 to 282 labelled a_1(0)* 281 to 284 labelled b_1(1)* 282 to 283 labelled a_1(0)* 282 to 284 labelled b_1(1)* 283 to 271 labelled a_1(0)* 283 to 284 labelled b_1(1)* 284 to 285 labelled a_1(1)* 285 to 286 labelled a_1(1)* 286 to 287 labelled a_1(1)* 287 to 288 labelled b_1(1)* 288 to 289 labelled a_1(1)* 289 to 290 labelled a_1(1)* 290 to 291 labelled b_1(1)* 291 to 292 labelled a_1(1)* 291 to 284 labelled b_1(1)* 292 to 293 labelled a_1(1)* 292 to 284 labelled b_1(1)* 293 to 294 labelled a_1(1)* 293 to 284 labelled b_1(1)* 294 to 295 labelled a_1(1)* 294 to 284 labelled b_1(1)* 295 to 271 labelled a_1(1)* 295 to 284 labelled b_1(1) ---------------------------------------- (6) YES
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard