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TRS Equational pair #487523203
details
property
value
status
complete
benchmark
YWHM14_1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.110394001007 seconds
cpu usage
0.050778917
max memory
3182592.0
stage attributes
key
value
output-size
1637
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: (THEORY (AC plus)) (RULES f(plus(a,a)) -> plus(f(a),f(a)) plus(a,f(f(a))) -> plus(f(a),f(a)) ) Problem 1: Reduction Order Processor: -> Rules: f(plus(a,a)) -> plus(f(a),f(a)) plus(a,f(f(a))) -> plus(f(a),f(a)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X + 1 [plus](X1,X2) = X1 + X2 + 2 [a] = 1 Problem 1: Reduction Order Processor: -> Rules: plus(a,f(f(a))) -> plus(f(a),f(a)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X + 1 [plus](X1,X2) = X1 + X2 + 2 [a] = 2 Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2)) PLUS(x0,x1) = PLUS(x1,x0) -> Pairs: Empty -> EAxioms: plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2)) plus(x0,x1) = plus(x1,x0) -> Rules: Empty -> SRules: PLUS(plus(x0,x1),x2) -> PLUS(x0,x1) PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2) Problem 1: SCC Processor: -> FAxioms: PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2)) PLUS(x0,x1) = PLUS(x1,x0) -> Pairs: Empty -> EAxioms: plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2)) plus(x0,x1) = plus(x1,x0) -> Rules: Empty -> SRules: PLUS(plus(x0,x1),x2) -> PLUS(x0,x1) PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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