Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487089622
details
property
value
status
complete
benchmark
abbbaaaaa-aaaaaabbbaabbb.srs.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n022.star.cs.uiowa.edu
space
Wenzel_16
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.61304 seconds
cpu usage
3.77706
user time
3.62138
system time
0.155678
max virtual memory
1.881092E7
max residence set size
286000.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) Strip Symbols Proof [SOUND, 0 ms] (4)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, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(b(b(a(a(a(a(a(x1))))))))) -> a(a(a(a(a(a(b(b(b(a(a(b(b(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(b(b(a(x1))))))))) -> b(b(b(a(a(b(b(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(b(b(a(x1))))))))) -> b(b(b(a(a(b(b(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(b(b(x)))))))) -> b(b(b(a(a(b(b(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(b(b(x)))))))) -> b(b(b(a(a(b(b(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(b(b(x)))))))) -> b(b(b(a(a(b(b(b(a(a(a(a(a(x))))))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148 Node 123 is start node and node 124 is final node. Those nodes are connected through the following edges: * 123 to 125 labelled b_1(0)* 124 to 124 labelled #_1(0)* 125 to 126 labelled b_1(0)* 126 to 127 labelled b_1(0)* 127 to 128 labelled a_1(0)* 128 to 129 labelled a_1(0)* 129 to 130 labelled b_1(0)* 130 to 131 labelled b_1(0)* 131 to 132 labelled b_1(0)* 132 to 133 labelled a_1(0)* 132 to 137 labelled b_1(1)* 133 to 134 labelled a_1(0)* 133 to 137 labelled b_1(1)* 134 to 135 labelled a_1(0)* 134 to 137 labelled b_1(1)* 135 to 136 labelled a_1(0)* 135 to 137 labelled b_1(1)* 136 to 124 labelled a_1(0)* 136 to 137 labelled b_1(1)* 137 to 138 labelled b_1(1)* 138 to 139 labelled b_1(1)* 139 to 140 labelled a_1(1)* 140 to 141 labelled a_1(1)* 141 to 142 labelled b_1(1)* 142 to 143 labelled b_1(1)* 143 to 144 labelled b_1(1)* 144 to 145 labelled a_1(1)* 144 to 137 labelled b_1(1)* 145 to 146 labelled a_1(1)* 145 to 137 labelled b_1(1)* 146 to 147 labelled a_1(1)* 146 to 137 labelled b_1(1)* 147 to 148 labelled a_1(1)* 147 to 137 labelled b_1(1)* 148 to 124 labelled a_1(1)* 148 to 137 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