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TRS Standard pair #487069279
details
property
value
status
complete
benchmark
lescanne.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0498669 seconds
cpu usage
0.044522
user time
0.020716
system time
0.023806
max virtual memory
113188.0
max residence set size
5448.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S Y:S Z:S) (RULES div(div(X:S,Y:S),Z:S) -> div(Y:S,div(i(X:S),Z:S)) div(X:S,e) -> i(X:S) i(div(X:S,Y:S)) -> div(Y:S,X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: DIV(div(X:S,Y:S),Z:S) -> DIV(i(X:S),Z:S) DIV(div(X:S,Y:S),Z:S) -> DIV(Y:S,div(i(X:S),Z:S)) DIV(div(X:S,Y:S),Z:S) -> I(X:S) DIV(X:S,e) -> I(X:S) I(div(X:S,Y:S)) -> DIV(Y:S,X:S) -> Rules: div(div(X:S,Y:S),Z:S) -> div(Y:S,div(i(X:S),Z:S)) div(X:S,e) -> i(X:S) i(div(X:S,Y:S)) -> div(Y:S,X:S) Problem 1: SCC Processor: -> Pairs: DIV(div(X:S,Y:S),Z:S) -> DIV(i(X:S),Z:S) DIV(div(X:S,Y:S),Z:S) -> DIV(Y:S,div(i(X:S),Z:S)) DIV(div(X:S,Y:S),Z:S) -> I(X:S) DIV(X:S,e) -> I(X:S) I(div(X:S,Y:S)) -> DIV(Y:S,X:S) -> Rules: div(div(X:S,Y:S),Z:S) -> div(Y:S,div(i(X:S),Z:S)) div(X:S,e) -> i(X:S) i(div(X:S,Y:S)) -> div(Y:S,X:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: DIV(div(X:S,Y:S),Z:S) -> DIV(i(X:S),Z:S) DIV(div(X:S,Y:S),Z:S) -> DIV(Y:S,div(i(X:S),Z:S)) DIV(div(X:S,Y:S),Z:S) -> I(X:S) DIV(X:S,e) -> I(X:S) I(div(X:S,Y:S)) -> DIV(Y:S,X:S) ->->-> Rules: div(div(X:S,Y:S),Z:S) -> div(Y:S,div(i(X:S),Z:S)) div(X:S,e) -> i(X:S) i(div(X:S,Y:S)) -> div(Y:S,X:S) Problem 1: Reduction Pair Processor: -> Pairs: DIV(div(X:S,Y:S),Z:S) -> DIV(i(X:S),Z:S) DIV(div(X:S,Y:S),Z:S) -> DIV(Y:S,div(i(X:S),Z:S)) DIV(div(X:S,Y:S),Z:S) -> I(X:S) DIV(X:S,e) -> I(X:S) I(div(X:S,Y:S)) -> DIV(Y:S,X:S) -> Rules: div(div(X:S,Y:S),Z:S) -> div(Y:S,div(i(X:S),Z:S)) div(X:S,e) -> i(X:S) i(div(X:S,Y:S)) -> div(Y:S,X:S) -> Usable rules: div(div(X:S,Y:S),Z:S) -> div(Y:S,div(i(X:S),Z:S)) div(X:S,e) -> i(X:S) i(div(X:S,Y:S)) -> div(Y:S,X:S) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [div](X1,X2) = 2.X1 + X2 + 2 [i](X) = 2.X + 1 [e] = 0 [DIV](X1,X2) = 2.X1 [I](X) = 2.X Problem 1: SCC Processor: -> Pairs: DIV(div(X:S,Y:S),Z:S) -> DIV(Y:S,div(i(X:S),Z:S)) DIV(div(X:S,Y:S),Z:S) -> I(X:S) DIV(X:S,e) -> I(X:S) I(div(X:S,Y:S)) -> DIV(Y:S,X:S) -> Rules: div(div(X:S,Y:S),Z:S) -> div(Y:S,div(i(X:S),Z:S)) div(X:S,e) -> i(X:S) i(div(X:S,Y:S)) -> div(Y:S,X:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: DIV(div(X:S,Y:S),Z:S) -> DIV(Y:S,div(i(X:S),Z:S))
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