Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Conditional pair #487562859
details
property
value
status
complete
benchmark
351.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0448389053345 seconds
cpu usage
0.022045046
max memory
2043904.0
stage attributes
key
value
output-size
5240
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S v:S w:S xs:S xs':S y:S ys':S z:S) (RULES ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S ssp(nil,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S ) Problem 1: Valid CTRS Processor: -> Rules: ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S ssp(nil,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S ssp(nil,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S Conditional Termination Problem 2: -> Pairs: SSP(cons(y:S,ys':S),v:S) -> SSP(ys':S,v:S) SSP(cons(y:S,ys':S),v:S) -> SSP(ys':S,w:S) | sub(v:S,y:S) ->* w:S SSP(cons(y:S,ys':S),v:S) -> SUB(v:S,y:S) SUB(s(v:S),s(w:S)) -> SUB(v:S,w:S) -> QPairs: Empty -> Rules: ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S ssp(nil,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S ssp(nil,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: SSP(cons(y:S,ys':S),v:S) -> SSP(ys':S,v:S) SSP(cons(y:S,ys':S),v:S) -> SSP(ys':S,w:S) | sub(v:S,y:S) ->* w:S SSP(cons(y:S,ys':S),v:S) -> SUB(v:S,y:S) SUB(s(v:S),s(w:S)) -> SUB(v:S,w:S) -> QPairs: Empty -> Rules: ssp(cons(y:S,ys':S),v:S) -> cons(y:S,xs':S) | sub(v:S,y:S) ->* w:S, ssp(ys':S,w:S) ->* xs':S ssp(cons(y:S,ys':S),v:S) -> xs:S | ssp(ys':S,v:S) ->* xs:S ssp(nil,0) -> nil sub(s(v:S),s(w:S)) -> z:S | sub(v:S,w:S) ->* z:S sub(z:S,0) -> z:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs:
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Conditional