Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #516968085
details
property
value
status
complete
benchmark
ex5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
AProVE_10
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
2.0253469944 seconds
cpu usage
5.05575034
max memory
4.7290368E8
stage attributes
key
value
output-size
1518
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ----------------------------------------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: g(0) -> 0 g(s(x)) -> f(g(x)) f(0) -> 0 Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: g(0) -> 0 g(s(x)) -> f(g(x)) f(0) -> 0 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 2 labelled 0(0), 0(1)* 1 to 3 labelled f_1(0)* 2 to 2 labelled #_1(0)* 3 to 2 labelled g_1(0), 0(1), 0(2)* 3 to 4 labelled f_1(1)* 4 to 2 labelled g_1(1), 0(1), 0(2)* 4 to 4 labelled f_1(1) ---------------------------------------- (2) YES
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard