Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432292561
details
property
value
status
complete
benchmark
ababaaaaaaa-aaaaaaaababab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n158.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.83429 seconds
cpu usage
3.85656
user time
3.68525
system time
0.171314
max virtual memory
1.8942424E7
max residence set size
305688.0
stage attributes
key
value
starexec-result
YES
output
3.70/1.78 YES 3.70/1.80 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.70/1.80 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.70/1.80 3.70/1.80 3.70/1.80 Termination w.r.t. Q of the given QTRS could be proven: 3.70/1.80 3.70/1.80 (0) QTRS 3.70/1.80 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.70/1.80 (2) QTRS 3.70/1.80 (3) Strip Symbols Proof [SOUND, 0 ms] 3.70/1.80 (4) QTRS 3.70/1.80 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.70/1.80 (6) YES 3.70/1.80 3.70/1.80 3.70/1.80 ---------------------------------------- 3.70/1.80 3.70/1.80 (0) 3.70/1.80 Obligation: 3.70/1.80 Q restricted rewrite system: 3.70/1.80 The TRS R consists of the following rules: 3.70/1.80 3.70/1.80 a(b(a(b(a(a(a(a(a(a(a(x1))))))))))) -> a(a(a(a(a(a(a(a(b(a(b(a(b(x1))))))))))))) 3.70/1.80 3.70/1.80 Q is empty. 3.70/1.80 3.70/1.80 ---------------------------------------- 3.70/1.80 3.70/1.80 (1) QTRS Reverse (EQUIVALENT) 3.70/1.80 We applied the QTRS Reverse Processor [REVERSE]. 3.70/1.80 ---------------------------------------- 3.70/1.80 3.70/1.80 (2) 3.70/1.80 Obligation: 3.70/1.80 Q restricted rewrite system: 3.70/1.80 The TRS R consists of the following rules: 3.70/1.80 3.70/1.80 a(a(a(a(a(a(a(b(a(b(a(x1))))))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(a(x1))))))))))))) 3.70/1.80 3.70/1.80 Q is empty. 3.70/1.80 3.70/1.80 ---------------------------------------- 3.70/1.80 3.70/1.80 (3) Strip Symbols Proof (SOUND) 3.70/1.80 We were given the following TRS: 3.70/1.80 3.70/1.80 a(a(a(a(a(a(a(b(a(b(a(x1))))))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(a(x1))))))))))))) 3.70/1.80 3.70/1.80 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.70/1.80 3.70/1.80 a(a(a(a(a(a(a(b(a(b(x)))))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.70/1.80 3.70/1.80 ---------------------------------------- 3.70/1.80 3.70/1.80 (4) 3.70/1.80 Obligation: 3.70/1.80 Q restricted rewrite system: 3.70/1.80 The TRS R consists of the following rules: 3.70/1.80 3.70/1.80 a(a(a(a(a(a(a(b(a(b(x)))))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.70/1.80 3.70/1.80 Q is empty. 3.70/1.80 3.70/1.80 ---------------------------------------- 3.70/1.80 3.70/1.80 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.70/1.80 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.70/1.80 The following rules were used to construct the certificate: 3.70/1.80 3.70/1.80 a(a(a(a(a(a(a(b(a(b(x)))))))))) -> b(a(b(a(b(a(a(a(a(a(a(a(x)))))))))))) 3.70/1.80 3.70/1.80 The certificate found is represented by the following graph. 3.70/1.80 The certificate consists of the following enumerated nodes: 3.70/1.80 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349 3.70/1.80 3.70/1.80 Node 326 is start node and node 327 is final node. 3.70/1.80 3.70/1.80 Those nodes are connected through the following edges: 3.70/1.80 3.70/1.80 * 326 to 328 labelled b_1(0)* 327 to 327 labelled #_1(0)* 328 to 329 labelled a_1(0)* 329 to 330 labelled b_1(0)* 330 to 331 labelled a_1(0)* 331 to 332 labelled b_1(0)* 332 to 333 labelled a_1(0)* 332 to 339 labelled b_1(1)* 333 to 334 labelled a_1(0)* 333 to 339 labelled b_1(1)* 334 to 335 labelled a_1(0)* 334 to 339 labelled b_1(1)* 335 to 336 labelled a_1(0)* 335 to 339 labelled b_1(1)* 336 to 337 labelled a_1(0)* 336 to 339 labelled b_1(1)* 337 to 338 labelled a_1(0)* 337 to 339 labelled b_1(1)* 338 to 327 labelled a_1(0)* 338 to 339 labelled b_1(1)* 339 to 340 labelled a_1(1)* 340 to 341 labelled b_1(1)* 341 to 342 labelled a_1(1)* 342 to 343 labelled b_1(1)* 343 to 344 labelled a_1(1)* 343 to 339 labelled b_1(1)* 344 to 345 labelled a_1(1)* 344 to 339 labelled b_1(1)* 345 to 346 labelled a_1(1)* 345 to 339 labelled b_1(1)* 346 to 347 labelled a_1(1)* 346 to 339 labelled b_1(1)* 347 to 348 labelled a_1(1)* 347 to 339 labelled b_1(1)* 348 to 349 labelled a_1(1)* 348 to 339 labelled b_1(1)* 349 to 327 labelled a_1(1)* 349 to 339 labelled b_1(1) 3.70/1.80 3.70/1.80 3.70/1.80 ---------------------------------------- 3.70/1.80 3.70/1.80 (6) 3.70/1.80 YES 3.84/1.83 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