Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487067823
details
property
value
status
complete
benchmark
2.47.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.63725 seconds
cpu usage
3.49723
user time
3.31116
system time
0.186069
max virtual memory
1.8342904E7
max residence set size
241288.0
stage attributes
key
value
starexec-result
YES
output
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(x)) -> b(a(x)) a(c(x)) -> x Q is empty. ---------------------------------------- (1) 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(b(x)) -> b(a(x)) a(c(x)) -> x The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled b_1(0), b_1(1)* 1 to 2 labelled a_1(0), b_1(0), c_1(0), a_1(1), b_1(1), c_1(1)* 1 to 4 labelled b_1(1)* 2 to 2 labelled #_1(0)* 3 to 2 labelled a_1(0), a_1(1), b_1(1), c_1(1)* 3 to 1 labelled b_1(1)* 3 to 3 labelled b_1(1)* 4 to 2 labelled a_1(1), b_1(1), c_1(1)* 4 to 3 labelled b_1(1) ---------------------------------------- (2) YES
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard