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TRS Standard pair #487073809
details
property
value
status
complete
benchmark
12.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0544381 seconds
cpu usage
0.055376
user time
0.023712
system time
0.031664
max virtual memory
113188.0
max residence set size
5724.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S)) and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S)) not(and(x:S,y:S)) -> or(not(x:S),not(y:S)) not(not(x:S)) -> x:S not(or(x:S,y:S)) -> and(not(x:S),not(y:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: AND(or(y:S,z:S),x:S) -> AND(x:S,y:S) AND(or(y:S,z:S),x:S) -> AND(x:S,z:S) AND(x:S,or(y:S,z:S)) -> AND(x:S,y:S) AND(x:S,or(y:S,z:S)) -> AND(x:S,z:S) NOT(and(x:S,y:S)) -> NOT(x:S) NOT(and(x:S,y:S)) -> NOT(y:S) NOT(or(x:S,y:S)) -> AND(not(x:S),not(y:S)) NOT(or(x:S,y:S)) -> NOT(x:S) NOT(or(x:S,y:S)) -> NOT(y:S) -> Rules: and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S)) and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S)) not(and(x:S,y:S)) -> or(not(x:S),not(y:S)) not(not(x:S)) -> x:S not(or(x:S,y:S)) -> and(not(x:S),not(y:S)) Problem 1: SCC Processor: -> Pairs: AND(or(y:S,z:S),x:S) -> AND(x:S,y:S) AND(or(y:S,z:S),x:S) -> AND(x:S,z:S) AND(x:S,or(y:S,z:S)) -> AND(x:S,y:S) AND(x:S,or(y:S,z:S)) -> AND(x:S,z:S) NOT(and(x:S,y:S)) -> NOT(x:S) NOT(and(x:S,y:S)) -> NOT(y:S) NOT(or(x:S,y:S)) -> AND(not(x:S),not(y:S)) NOT(or(x:S,y:S)) -> NOT(x:S) NOT(or(x:S,y:S)) -> NOT(y:S) -> Rules: and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S)) and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S)) not(and(x:S,y:S)) -> or(not(x:S),not(y:S)) not(not(x:S)) -> x:S not(or(x:S,y:S)) -> and(not(x:S),not(y:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: AND(or(y:S,z:S),x:S) -> AND(x:S,y:S) AND(or(y:S,z:S),x:S) -> AND(x:S,z:S) AND(x:S,or(y:S,z:S)) -> AND(x:S,y:S) AND(x:S,or(y:S,z:S)) -> AND(x:S,z:S) ->->-> Rules: and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S)) and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S)) not(and(x:S,y:S)) -> or(not(x:S),not(y:S)) not(not(x:S)) -> x:S not(or(x:S,y:S)) -> and(not(x:S),not(y:S)) ->->Cycle: ->->-> Pairs: NOT(and(x:S,y:S)) -> NOT(x:S) NOT(and(x:S,y:S)) -> NOT(y:S) NOT(or(x:S,y:S)) -> NOT(x:S) NOT(or(x:S,y:S)) -> NOT(y:S) ->->-> Rules: and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S)) and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S)) not(and(x:S,y:S)) -> or(not(x:S),not(y:S)) not(not(x:S)) -> x:S not(or(x:S,y:S)) -> and(not(x:S),not(y:S)) The problem is decomposed in 2 subproblems. Problem 1.1: Reduction Pair Processor: -> Pairs: AND(or(y:S,z:S),x:S) -> AND(x:S,y:S) AND(or(y:S,z:S),x:S) -> AND(x:S,z:S) AND(x:S,or(y:S,z:S)) -> AND(x:S,y:S) AND(x:S,or(y:S,z:S)) -> AND(x:S,z:S) -> Rules: and(or(y:S,z:S),x:S) -> or(and(x:S,y:S),and(x:S,z:S)) and(x:S,or(y:S,z:S)) -> or(and(x:S,y:S),and(x:S,z:S)) not(and(x:S,y:S)) -> or(not(x:S),not(y:S)) not(not(x:S)) -> x:S not(or(x:S,y:S)) -> and(not(x:S),not(y:S)) -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients:
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