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TRS Stand 20472 pair #381715561
details
property
value
status
complete
benchmark
Ex4_4_Luc96b_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n114.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0530898571014 seconds
cpu usage
0.05296544
max memory
4001792.0
stage attributes
key
value
output-size
4514
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 X X1 X2 Y) (RULES a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) a__f(X1,X2) -> f(X1,X2) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__F(g(X),Y) -> A__F(mark(X),f(g(X),Y)) A__F(g(X),Y) -> MARK(X) MARK(f(X1,X2)) -> A__F(mark(X1),X2) MARK(f(X1,X2)) -> MARK(X1) MARK(g(X)) -> MARK(X) -> Rules: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) a__f(X1,X2) -> f(X1,X2) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) Problem 1: SCC Processor: -> Pairs: A__F(g(X),Y) -> A__F(mark(X),f(g(X),Y)) A__F(g(X),Y) -> MARK(X) MARK(f(X1,X2)) -> A__F(mark(X1),X2) MARK(f(X1,X2)) -> MARK(X1) MARK(g(X)) -> MARK(X) -> Rules: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) a__f(X1,X2) -> f(X1,X2) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A__F(g(X),Y) -> A__F(mark(X),f(g(X),Y)) A__F(g(X),Y) -> MARK(X) MARK(f(X1,X2)) -> A__F(mark(X1),X2) MARK(f(X1,X2)) -> MARK(X1) MARK(g(X)) -> MARK(X) ->->-> Rules: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) a__f(X1,X2) -> f(X1,X2) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) Problem 1: Reduction Pair Processor: -> Pairs: A__F(g(X),Y) -> A__F(mark(X),f(g(X),Y)) A__F(g(X),Y) -> MARK(X) MARK(f(X1,X2)) -> A__F(mark(X1),X2) MARK(f(X1,X2)) -> MARK(X1) MARK(g(X)) -> MARK(X) -> Rules: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) a__f(X1,X2) -> f(X1,X2) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) -> Usable rules: a__f(g(X),Y) -> a__f(mark(X),f(g(X),Y)) a__f(X1,X2) -> f(X1,X2) mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(g(X)) -> g(mark(X)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a__f](X1,X2) = 2.X1 + 2 [mark](X) = 2.X + 1 [f](X1,X2) = 2.X1 + 2 [g](X) = 2.X + 2 [A__F](X1,X2) = X1 [MARK](X) = 2.X + 2 Problem 1: SCC Processor:
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