Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432293491
details
property
value
status
complete
benchmark
abaaaaa-aaaaaabaaabaab.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n065.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.72026 seconds
cpu usage
3.62353
user time
3.46039
system time
0.16314
max virtual memory
1.900956E7
max residence set size
268056.0
stage attributes
key
value
starexec-result
YES
output
3.38/1.67 YES 3.38/1.69 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.38/1.69 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.38/1.69 3.38/1.69 3.38/1.69 Termination w.r.t. Q of the given QTRS could be proven: 3.38/1.69 3.38/1.69 (0) QTRS 3.38/1.69 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.38/1.69 (2) QTRS 3.38/1.69 (3) Strip Symbols Proof [SOUND, 0 ms] 3.38/1.69 (4) QTRS 3.38/1.69 (5) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.38/1.69 (6) YES 3.38/1.69 3.38/1.69 3.38/1.69 ---------------------------------------- 3.38/1.69 3.38/1.69 (0) 3.38/1.69 Obligation: 3.38/1.69 Q restricted rewrite system: 3.38/1.69 The TRS R consists of the following rules: 3.38/1.69 3.38/1.69 a(b(a(a(a(a(a(x1))))))) -> a(a(a(a(a(a(b(a(a(a(b(a(a(b(x1)))))))))))))) 3.38/1.69 3.38/1.69 Q is empty. 3.38/1.69 3.38/1.69 ---------------------------------------- 3.38/1.69 3.38/1.69 (1) QTRS Reverse (EQUIVALENT) 3.38/1.69 We applied the QTRS Reverse Processor [REVERSE]. 3.38/1.69 ---------------------------------------- 3.38/1.69 3.38/1.69 (2) 3.38/1.69 Obligation: 3.38/1.69 Q restricted rewrite system: 3.38/1.69 The TRS R consists of the following rules: 3.38/1.69 3.38/1.69 a(a(a(a(a(b(a(x1))))))) -> b(a(a(b(a(a(a(b(a(a(a(a(a(a(x1)))))))))))))) 3.38/1.69 3.38/1.69 Q is empty. 3.38/1.69 3.38/1.69 ---------------------------------------- 3.38/1.69 3.38/1.69 (3) Strip Symbols Proof (SOUND) 3.38/1.69 We were given the following TRS: 3.38/1.69 3.38/1.69 a(a(a(a(a(b(a(x1))))))) -> b(a(a(b(a(a(a(b(a(a(a(a(a(a(x1)))))))))))))) 3.38/1.69 3.38/1.69 By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: 3.38/1.69 3.38/1.69 a(a(a(a(a(b(x)))))) -> b(a(a(b(a(a(a(b(a(a(a(a(a(x))))))))))))) 3.38/1.69 3.38/1.69 ---------------------------------------- 3.38/1.69 3.38/1.69 (4) 3.38/1.69 Obligation: 3.38/1.69 Q restricted rewrite system: 3.38/1.69 The TRS R consists of the following rules: 3.38/1.69 3.38/1.69 a(a(a(a(a(b(x)))))) -> b(a(a(b(a(a(a(b(a(a(a(a(a(x))))))))))))) 3.38/1.69 3.38/1.69 Q is empty. 3.38/1.69 3.38/1.69 ---------------------------------------- 3.38/1.69 3.38/1.69 (5) RFCMatchBoundsTRSProof (EQUIVALENT) 3.38/1.69 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 1. This implies Q-termination of R. 3.38/1.69 The following rules were used to construct the certificate: 3.38/1.69 3.38/1.69 a(a(a(a(a(b(x)))))) -> b(a(a(b(a(a(a(b(a(a(a(a(a(x))))))))))))) 3.38/1.69 3.38/1.69 The certificate found is represented by the following graph. 3.38/1.69 The certificate consists of the following enumerated nodes: 3.38/1.69 7, 8, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359 3.38/1.69 3.38/1.69 Node 7 is start node and node 8 is final node. 3.38/1.69 3.38/1.69 Those nodes are connected through the following edges: 3.38/1.69 3.38/1.69 * 7 to 141 labelled b_1(0)* 8 to 8 labelled #_1(0)* 141 to 142 labelled a_1(0)* 142 to 143 labelled a_1(0)* 143 to 144 labelled b_1(0)* 144 to 145 labelled a_1(0)* 145 to 146 labelled a_1(0)* 146 to 147 labelled a_1(0)* 147 to 148 labelled b_1(0)* 148 to 149 labelled a_1(0)* 148 to 348 labelled b_1(1)* 149 to 150 labelled a_1(0)* 149 to 348 labelled b_1(1)* 150 to 151 labelled a_1(0)* 150 to 348 labelled b_1(1)* 151 to 152 labelled a_1(0)* 151 to 348 labelled b_1(1)* 152 to 8 labelled a_1(0)* 152 to 348 labelled b_1(1)* 348 to 349 labelled a_1(1)* 349 to 350 labelled a_1(1)* 350 to 351 labelled b_1(1)* 351 to 352 labelled a_1(1)* 352 to 353 labelled a_1(1)* 353 to 354 labelled a_1(1)* 354 to 355 labelled b_1(1)* 355 to 356 labelled a_1(1)* 355 to 348 labelled b_1(1)* 356 to 357 labelled a_1(1)* 356 to 348 labelled b_1(1)* 357 to 358 labelled a_1(1)* 357 to 348 labelled b_1(1)* 358 to 359 labelled a_1(1)* 358 to 348 labelled b_1(1)* 359 to 8 labelled a_1(1)* 359 to 348 labelled b_1(1) 3.38/1.69 3.38/1.69 3.38/1.69 ---------------------------------------- 3.38/1.69 3.38/1.69 (6) 3.38/1.69 YES 3.38/1.72 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