details

property	value
status	complete
benchmark	4.13.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n180.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.072253 seconds
cpu usage	0.054489
user time	0.014698
system time	0.039791
max virtual memory	113188.0
max residence set size	5400.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES -(0,y:S) -> 0 -(x:S,0) -> x:S -(x:S,s(y:S)) -> if(greater(x:S,s(y:S)),s(-(x:S,p(s(y:S)))),0) p(0) -> 0 p(s(x:S)) -> x:S ) Problem 1: Dependency Pairs Processor: -> Pairs: -#(x:S,s(y:S)) -> -#(x:S,p(s(y:S))) -#(x:S,s(y:S)) -> P(s(y:S)) -> Rules: -(0,y:S) -> 0 -(x:S,0) -> x:S -(x:S,s(y:S)) -> if(greater(x:S,s(y:S)),s(-(x:S,p(s(y:S)))),0) p(0) -> 0 p(s(x:S)) -> x:S Problem 1: SCC Processor: -> Pairs: -#(x:S,s(y:S)) -> -#(x:S,p(s(y:S))) -#(x:S,s(y:S)) -> P(s(y:S)) -> Rules: -(0,y:S) -> 0 -(x:S,0) -> x:S -(x:S,s(y:S)) -> if(greater(x:S,s(y:S)),s(-(x:S,p(s(y:S)))),0) p(0) -> 0 p(s(x:S)) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: -#(x:S,s(y:S)) -> -#(x:S,p(s(y:S))) ->->-> Rules: -(0,y:S) -> 0 -(x:S,0) -> x:S -(x:S,s(y:S)) -> if(greater(x:S,s(y:S)),s(-(x:S,p(s(y:S)))),0) p(0) -> 0 p(s(x:S)) -> x:S Problem 1: Reduction Pair Processor: -> Pairs: -#(x:S,s(y:S)) -> -#(x:S,p(s(y:S))) -> Rules: -(0,y:S) -> 0 -(x:S,0) -> x:S -(x:S,s(y:S)) -> if(greater(x:S,s(y:S)),s(-(x:S,p(s(y:S)))),0) p(0) -> 0 p(s(x:S)) -> x:S -> Usable rules: p(0) -> 0 p(s(x:S)) -> x:S ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [p](X) = 1/2.X + 1/2 [0] = 1/2 [s](X) = 2.X + 2 [-#](X1,X2) = 2.X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: -(0,y:S) -> 0 -(x:S,0) -> x:S -(x:S,s(y:S)) -> if(greater(x:S,s(y:S)),s(-(x:S,p(s(y:S)))),0) p(0) -> 0 p(s(x:S)) -> x:S ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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