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TRS Equat 89423 pair #381732668
details
property
value
status
complete
benchmark
YWHM14_2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n099.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0925841331482 seconds
cpu usage
0.093044401
max memory
4124672.0
stage attributes
key
value
output-size
6930
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: (THEORY (AC plus)) (RULES f(plus(a,a)) -> plus(f(a),f(a)) plus(f(a),f(a)) -> plus(a,f(f(a))) ) Problem 1: Reduction Order Processor: -> Rules: f(plus(a,a)) -> plus(f(a),f(a)) plus(f(a),f(a)) -> plus(a,f(f(a))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X [plus](X1,X2) = X1 + X2 + 2 [a] = 0 Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x0,x1),x2) = PLUS(x0,plus(x1,x2)) PLUS(x0,x1) = PLUS(x1,x0) -> Pairs: PLUS(f(a),f(a)) -> F(f(a)) PLUS(f(a),f(a)) -> PLUS(a,f(f(a))) PLUS(plus(f(a),f(a)),x0) -> F(f(a)) PLUS(plus(f(a),f(a)),x0) -> PLUS(plus(a,f(f(a))),x0) PLUS(plus(f(a),f(a)),x0) -> PLUS(a,f(f(a))) -> EAxioms: plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2)) plus(x0,x1) = plus(x1,x0) -> Rules: plus(f(a),f(a)) -> plus(a,f(f(a))) -> 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: PLUS(f(a),f(a)) -> F(f(a)) PLUS(f(a),f(a)) -> PLUS(a,f(f(a))) PLUS(plus(f(a),f(a)),x0) -> F(f(a)) PLUS(plus(f(a),f(a)),x0) -> PLUS(plus(a,f(f(a))),x0) PLUS(plus(f(a),f(a)),x0) -> PLUS(a,f(f(a))) -> EAxioms: plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2)) plus(x0,x1) = plus(x1,x0) -> Rules: plus(f(a),f(a)) -> plus(a,f(f(a))) -> SRules: PLUS(plus(x0,x1),x2) -> PLUS(x0,x1) PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(f(a),f(a)) -> PLUS(a,f(f(a))) PLUS(plus(f(a),f(a)),x0) -> PLUS(plus(a,f(f(a))),x0) PLUS(plus(f(a),f(a)),x0) -> PLUS(a,f(f(a))) -> FAxioms: plus(plus(x0,x1),x2) -> plus(x0,plus(x1,x2)) plus(x0,x1) -> plus(x1,x0) PLUS(plus(x0,x1),x2) -> PLUS(x0,plus(x1,x2)) PLUS(x0,x1) -> PLUS(x1,x0) -> EAxioms: plus(plus(x0,x1),x2) = plus(x0,plus(x1,x2)) plus(x0,x1) = plus(x1,x0) ->->-> Rules: plus(f(a),f(a)) -> plus(a,f(f(a))) -> SRules: PLUS(plus(x0,x1),x2) -> PLUS(x0,x1) PLUS(x0,plus(x1,x2)) -> PLUS(x1,x2) Problem 1:
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