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TRS Equational pair #516978249
details
property
value
status
complete
benchmark
AC15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n056.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.078047990799 seconds
cpu usage
0.053075384
max memory
3186688.0
stage attributes
key
value
output-size
1516
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 x) (THEORY (AC f)) (RULES f(f(x,x),g(x)) -> f(x,h(x)) f(g(g(x)),x) -> f(g(x),g(x)) ) Problem 1: Reduction Order Processor: -> Rules: f(f(x,x),g(x)) -> f(x,h(x)) f(g(g(x)),x) -> f(g(x),g(x)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = X1 + X2 + 2 [g](X) = 2.X + 2 [h](X) = 2.X + 2 Problem 1: Reduction Order Processor: -> Rules: f(g(g(x)),x) -> f(g(x),g(x)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = X1 + X2 + 1 [g](X) = 2.X + 2 [h](X) = 2.X Problem 1: Dependency Pairs Processor: -> FAxioms: F(f(x1,x2),x3) = F(x1,f(x2,x3)) F(x1,x2) = F(x2,x1) -> Pairs: Empty -> EAxioms: f(f(x1,x2),x3) = f(x1,f(x2,x3)) f(x1,x2) = f(x2,x1) -> Rules: Empty -> SRules: F(f(x1,x2),x3) -> F(x1,x2) F(x1,f(x2,x3)) -> F(x2,x3) Problem 1: SCC Processor: -> FAxioms: F(f(x1,x2),x3) = F(x1,f(x2,x3)) F(x1,x2) = F(x2,x1) -> Pairs: Empty -> EAxioms: f(f(x1,x2),x3) = f(x1,f(x2,x3)) f(x1,x2) = f(x2,x1) -> Rules: Empty -> SRules: F(f(x1,x2),x3) -> F(x1,x2) F(x1,f(x2,x3)) -> F(x2,x3) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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