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TRS Equational pair #516978132
details
property
value
status
complete
benchmark
YWHM14_5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0989451408386 seconds
cpu usage
0.05357154
max memory
3219456.0
stage attributes
key
value
output-size
1670
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 plus)) (RULES f(x) -> plus(g(x),a) plus(f(x),g(x)) -> plus(g(x),plus(g(x),g(x))) ) Problem 1: Reduction Order Processor: -> Rules: f(x) -> plus(g(x),a) plus(f(x),g(x)) -> plus(g(x),plus(g(x),g(x))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X + 1 [plus](X1,X2) = X1 + X2 [a] = 0 [g](X) = X Problem 1: Reduction Order Processor: -> Rules: plus(f(x),g(x)) -> plus(g(x),plus(g(x),g(x))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X + 2 [plus](X1,X2) = X1 + X2 [a] = 0 [g](X) = X Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x1,x2),x3) = PLUS(x1,plus(x2,x3)) PLUS(x1,x2) = PLUS(x2,x1) -> Pairs: Empty -> EAxioms: plus(plus(x1,x2),x3) = plus(x1,plus(x2,x3)) plus(x1,x2) = plus(x2,x1) -> Rules: Empty -> SRules: PLUS(plus(x1,x2),x3) -> PLUS(x1,x2) PLUS(x1,plus(x2,x3)) -> PLUS(x2,x3) Problem 1: SCC Processor: -> FAxioms: PLUS(plus(x1,x2),x3) = PLUS(x1,plus(x2,x3)) PLUS(x1,x2) = PLUS(x2,x1) -> Pairs: Empty -> EAxioms: plus(plus(x1,x2),x3) = plus(x1,plus(x2,x3)) plus(x1,x2) = plus(x2,x1) -> Rules: Empty -> SRules: PLUS(plus(x1,x2),x3) -> PLUS(x1,x2) PLUS(x1,plus(x2,x3)) -> PLUS(x2,x3) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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