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TRS Stand 20472 pair #381712867
details
property
value
status
complete
benchmark
test4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0751991271973 seconds
cpu usage
0.054614734
max memory
3428352.0
stage attributes
key
value
output-size
2448
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) (RULES f(a,a) -> f(a,b) f(a,b) -> f(s(a),c) f(c,c) -> f(a,a) f(s(X),c) -> f(X,c) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(a,a) -> f(a,b) f(a,b) -> f(s(a),c) f(c,c) -> f(a,a) f(s(X),c) -> f(X,c) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(a,a) -> F(a,b) F(a,b) -> F(s(a),c) F(c,c) -> F(a,a) F(s(X),c) -> F(X,c) -> Rules: f(a,a) -> f(a,b) f(a,b) -> f(s(a),c) f(c,c) -> f(a,a) f(s(X),c) -> f(X,c) Problem 1: SCC Processor: -> Pairs: F(a,a) -> F(a,b) F(a,b) -> F(s(a),c) F(c,c) -> F(a,a) F(s(X),c) -> F(X,c) -> Rules: f(a,a) -> f(a,b) f(a,b) -> f(s(a),c) f(c,c) -> f(a,a) f(s(X),c) -> f(X,c) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(a,a) -> F(a,b) F(a,b) -> F(s(a),c) F(c,c) -> F(a,a) F(s(X),c) -> F(X,c) ->->-> Rules: f(a,a) -> f(a,b) f(a,b) -> f(s(a),c) f(c,c) -> f(a,a) f(s(X),c) -> f(X,c) Problem 1: Reduction Pairs Processor: -> Pairs: F(a,a) -> F(a,b) F(a,b) -> F(s(a),c) F(c,c) -> F(a,a) F(s(X),c) -> F(X,c) -> Rules: f(a,a) -> f(a,b) f(a,b) -> f(s(a),c) f(c,c) -> f(a,a) f(s(X),c) -> f(X,c) -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a] = 1 [b] = 2 [c] = 2 [s](X) = X [F](X1,X2) = X1
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