Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Innermost pair #487524652
details
property
value
status
complete
benchmark
test76.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n094.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.230831861496 seconds
cpu usage
0.163100921
max memory
4931584.0
stage attributes
key
value
output-size
11419
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S X:S Y:S) (RULES +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) f(0,s(0),X:S) -> f(X:S,+(X:S,X:S),X:S) g(X:S,Y:S) -> X:S g(X:S,Y:S) -> Y:S ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: +#(X:S,s(Y:S)) -> +#(X:S,Y:S) F(0,s(0),X:S) -> +#(X:S,X:S) F(0,s(0),X:S) -> F(X:S,+(X:S,X:S),X:S) -> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) f(0,s(0),X:S) -> f(X:S,+(X:S,X:S),X:S) g(X:S,Y:S) -> X:S g(X:S,Y:S) -> Y:S Problem 1: SCC Processor: -> Pairs: +#(X:S,s(Y:S)) -> +#(X:S,Y:S) F(0,s(0),X:S) -> +#(X:S,X:S) F(0,s(0),X:S) -> F(X:S,+(X:S,X:S),X:S) -> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) f(0,s(0),X:S) -> f(X:S,+(X:S,X:S),X:S) g(X:S,Y:S) -> X:S g(X:S,Y:S) -> Y:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: +#(X:S,s(Y:S)) -> +#(X:S,Y:S) ->->-> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) f(0,s(0),X:S) -> f(X:S,+(X:S,X:S),X:S) g(X:S,Y:S) -> X:S g(X:S,Y:S) -> Y:S ->->Cycle: ->->-> Pairs: F(0,s(0),X:S) -> F(X:S,+(X:S,X:S),X:S) ->->-> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) f(0,s(0),X:S) -> f(X:S,+(X:S,X:S),X:S) g(X:S,Y:S) -> X:S g(X:S,Y:S) -> Y:S The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: +#(X:S,s(Y:S)) -> +#(X:S,Y:S) -> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) f(0,s(0),X:S) -> f(X:S,+(X:S,X:S),X:S) g(X:S,Y:S) -> X:S g(X:S,Y:S) -> Y:S ->Projection: pi(+#) = 2 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) f(0,s(0),X:S) -> f(X:S,+(X:S,X:S),X:S) g(X:S,Y:S) -> X:S g(X:S,Y:S) -> Y:S ->Strongly Connected Components: There is no strongly connected component The problem is finite.
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Innermost