Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Innermost pair #487093596
details
property
value
status
complete
benchmark
test77.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.257164 seconds
cpu usage
0.159067
user time
0.093486
system time
0.065581
max virtual memory
113188.0
max residence set size
6092.0
stage attributes
key
value
starexec-result
YES
output
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)) double(X:S) -> +(X:S,X:S) f(0,s(0),X:S) -> f(X:S,double(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) DOUBLE(X:S) -> +#(X:S,X:S) F(0,s(0),X:S) -> DOUBLE(X:S) F(0,s(0),X:S) -> F(X:S,double(X:S),X:S) -> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) double(X:S) -> +(X:S,X:S) f(0,s(0),X:S) -> f(X:S,double(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) DOUBLE(X:S) -> +#(X:S,X:S) F(0,s(0),X:S) -> DOUBLE(X:S) F(0,s(0),X:S) -> F(X:S,double(X:S),X:S) -> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) double(X:S) -> +(X:S,X:S) f(0,s(0),X:S) -> f(X:S,double(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)) double(X:S) -> +(X:S,X:S) f(0,s(0),X:S) -> f(X:S,double(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,double(X:S),X:S) ->->-> Rules: +(X:S,0) -> X:S +(X:S,s(Y:S)) -> s(+(X:S,Y:S)) double(X:S) -> +(X:S,X:S) f(0,s(0),X:S) -> f(X:S,double(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)) double(X:S) -> +(X:S,X:S) f(0,s(0),X:S) -> f(X:S,double(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)) double(X:S) -> +(X:S,X:S) f(0,s(0),X:S) -> f(X:S,double(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
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Innermost