details

property	value
status	complete
benchmark	2.35.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n181.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0440319 seconds
cpu usage	0.037627
user time	0.014291
system time	0.023336
max virtual memory	113188.0
max residence set size	5364.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES and(x:S,not(ffalse)) -> x:S and(x:S,ffalse) -> ffalse implies(not(x:S),not(y:S)) -> implies(y:S,and(x:S,y:S)) implies(ffalse,y:S) -> not(ffalse) implies(x:S,ffalse) -> not(x:S) not(not(x:S)) -> x:S ) Problem 1: Dependency Pairs Processor: -> Pairs: IMPLIES(not(x:S),not(y:S)) -> AND(x:S,y:S) IMPLIES(not(x:S),not(y:S)) -> IMPLIES(y:S,and(x:S,y:S)) IMPLIES(x:S,ffalse) -> NOT(x:S) -> Rules: and(x:S,not(ffalse)) -> x:S and(x:S,ffalse) -> ffalse implies(not(x:S),not(y:S)) -> implies(y:S,and(x:S,y:S)) implies(ffalse,y:S) -> not(ffalse) implies(x:S,ffalse) -> not(x:S) not(not(x:S)) -> x:S Problem 1: SCC Processor: -> Pairs: IMPLIES(not(x:S),not(y:S)) -> AND(x:S,y:S) IMPLIES(not(x:S),not(y:S)) -> IMPLIES(y:S,and(x:S,y:S)) IMPLIES(x:S,ffalse) -> NOT(x:S) -> Rules: and(x:S,not(ffalse)) -> x:S and(x:S,ffalse) -> ffalse implies(not(x:S),not(y:S)) -> implies(y:S,and(x:S,y:S)) implies(ffalse,y:S) -> not(ffalse) implies(x:S,ffalse) -> not(x:S) not(not(x:S)) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: IMPLIES(not(x:S),not(y:S)) -> IMPLIES(y:S,and(x:S,y:S)) ->->-> Rules: and(x:S,not(ffalse)) -> x:S and(x:S,ffalse) -> ffalse implies(not(x:S),not(y:S)) -> implies(y:S,and(x:S,y:S)) implies(ffalse,y:S) -> not(ffalse) implies(x:S,ffalse) -> not(x:S) not(not(x:S)) -> x:S Problem 1: Reduction Pair Processor: -> Pairs: IMPLIES(not(x:S),not(y:S)) -> IMPLIES(y:S,and(x:S,y:S)) -> Rules: and(x:S,not(ffalse)) -> x:S and(x:S,ffalse) -> ffalse implies(not(x:S),not(y:S)) -> implies(y:S,and(x:S,y:S)) implies(ffalse,y:S) -> not(ffalse) implies(x:S,ffalse) -> not(x:S) not(not(x:S)) -> x:S -> Usable rules: and(x:S,not(ffalse)) -> x:S and(x:S,ffalse) -> ffalse ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [and](X1,X2) = 2.X1 + 2 [not](X) = 2.X + 2 [false] = 0 [IMPLIES](X1,X2) = 2.X1 + 2.X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: and(x:S,not(ffalse)) -> x:S and(x:S,ffalse) -> ffalse implies(not(x:S),not(y:S)) -> implies(y:S,and(x:S,y:S)) implies(ffalse,y:S) -> not(ffalse) implies(x:S,ffalse) -> not(x:S) not(not(x:S)) -> x:S ->Strongly Connected Components: There is no strongly connected component popout

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