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TRS Standard pair #516966681
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
n085.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0975689888 seconds
cpu usage
0.037505673
max memory
3129344.0
stage attributes
key
value
output-size
2565
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 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))
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