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TRS Standard pair #516964661
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
n008.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.144654989243 seconds
cpu usage
0.046389699
max memory
3764224.0
stage attributes
key
value
output-size
3336
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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))
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