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TRS Equational pair #487092834
details
property
value
status
complete
benchmark
kusakari1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.308783 seconds
cpu usage
0.285586
user time
0.165398
system time
0.120188
max virtual memory
113188.0
max residence set size
5184.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR x y) (THEORY (AC +)) (RULES +(g(x),g(y)) -> g(+(g(a),+(x,y))) ) Problem 1: Dependency Pairs Processor: -> FAxioms: +#(+(x2,x3),x4) = +#(x2,+(x3,x4)) +#(x2,x3) = +#(x3,x2) -> Pairs: +#(+(g(x),g(y)),x2) -> +#(g(+(g(a),+(x,y))),x2) +#(+(g(x),g(y)),x2) -> +#(g(a),+(x,y)) +#(+(g(x),g(y)),x2) -> +#(x,y) +#(g(x),g(y)) -> +#(g(a),+(x,y)) +#(g(x),g(y)) -> +#(x,y) -> EAxioms: +(+(x2,x3),x4) = +(x2,+(x3,x4)) +(x2,x3) = +(x3,x2) -> Rules: +(g(x),g(y)) -> g(+(g(a),+(x,y))) -> SRules: +#(+(x2,x3),x4) -> +#(x2,x3) +#(x2,+(x3,x4)) -> +#(x3,x4) Problem 1: SCC Processor: -> FAxioms: +#(+(x2,x3),x4) = +#(x2,+(x3,x4)) +#(x2,x3) = +#(x3,x2) -> Pairs: +#(+(g(x),g(y)),x2) -> +#(g(+(g(a),+(x,y))),x2) +#(+(g(x),g(y)),x2) -> +#(g(a),+(x,y)) +#(+(g(x),g(y)),x2) -> +#(x,y) +#(g(x),g(y)) -> +#(g(a),+(x,y)) +#(g(x),g(y)) -> +#(x,y) -> EAxioms: +(+(x2,x3),x4) = +(x2,+(x3,x4)) +(x2,x3) = +(x3,x2) -> Rules: +(g(x),g(y)) -> g(+(g(a),+(x,y))) -> SRules: +#(+(x2,x3),x4) -> +#(x2,x3) +#(x2,+(x3,x4)) -> +#(x3,x4) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: +#(+(g(x),g(y)),x2) -> +#(g(+(g(a),+(x,y))),x2) +#(+(g(x),g(y)),x2) -> +#(g(a),+(x,y)) +#(+(g(x),g(y)),x2) -> +#(x,y) +#(g(x),g(y)) -> +#(g(a),+(x,y)) +#(g(x),g(y)) -> +#(x,y) -> FAxioms: +(+(x2,x3),x4) -> +(x2,+(x3,x4)) +(x2,x3) -> +(x3,x2) +#(+(x2,x3),x4) -> +#(x2,+(x3,x4)) +#(x2,x3) -> +#(x3,x2) -> EAxioms: +(+(x2,x3),x4) = +(x2,+(x3,x4)) +(x2,x3) = +(x3,x2) ->->-> Rules: +(g(x),g(y)) -> g(+(g(a),+(x,y))) -> SRules: +#(+(x2,x3),x4) -> +#(x2,x3) +#(x2,+(x3,x4)) -> +#(x3,x4) Problem 1: Reduction Pairs Processor: -> FAxioms: +#(+(x2,x3),x4) = +#(x2,+(x3,x4)) +#(x2,x3) = +#(x3,x2) -> Pairs: +#(+(g(x),g(y)),x2) -> +#(g(+(g(a),+(x,y))),x2) +#(+(g(x),g(y)),x2) -> +#(g(a),+(x,y)) +#(+(g(x),g(y)),x2) -> +#(x,y) +#(g(x),g(y)) -> +#(g(a),+(x,y)) +#(g(x),g(y)) -> +#(x,y) -> EAxioms: +(+(x2,x3),x4) = +(x2,+(x3,x4)) +(x2,x3) = +(x3,x2) -> Usable Equations: +(+(x2,x3),x4) = +(x2,+(x3,x4)) +(x2,x3) = +(x3,x2) -> Rules: +(g(x),g(y)) -> g(+(g(a),+(x,y))) -> Usable Rules: +(g(x),g(y)) -> g(+(g(a),+(x,y))) -> SRules: +#(+(x2,x3),x4) -> +#(x2,x3) +#(x2,+(x3,x4)) -> +#(x3,x4) ->Interpretation type:
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