Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Stand 20472 pair #381709629
details
property
value
status
complete
benchmark
03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n039.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.65623283386 seconds
cpu usage
3.632553557
max memory
1.99901184E8
stage attributes
key
value
output-size
1765
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) Strip Symbols Proof [SOUND, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(f(x)) -> g(f(x)) Q is empty. ---------------------------------------- (1) Strip Symbols Proof (SOUND) We were given the following TRS: f(f(x)) -> g(f(x)) By stripping symbols from the only rule of the system, we obtained the following TRS [ENDRULLIS]: f(x) -> g(x) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(x) -> g(x) Q is empty. ---------------------------------------- (3) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 0. This implies Q-termination of R. The following rules were used to construct the certificate: f(x) -> g(x) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 2, 6 Node 2 is start node and node 6 is final node. Those nodes are connected through the following edges: * 2 to 6 labelled g_1(0)* 6 to 6 labelled #_1(0) ---------------------------------------- (4) YES
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Stand 20472