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TRS Stand 20472 pair #381714370
details
property
value
status
complete
benchmark
jw18.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
Zantema_05
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.202131032944 seconds
cpu usage
0.189823433
max memory
6307840.0
stage attributes
key
value
output-size
1527
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: (VAR x) (RULES f(x,f(a,a)) -> f(f(f(a,a),a),f(x,a)) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(x,f(a,a)) -> f(f(f(a,a),a),f(x,a)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(x,f(a,a)) -> F(f(f(a,a),a),f(x,a)) -> Rules: f(x,f(a,a)) -> f(f(f(a,a),a),f(x,a)) Problem 1: SCC Processor: -> Pairs: F(x,f(a,a)) -> F(f(f(a,a),a),f(x,a)) -> Rules: f(x,f(a,a)) -> f(f(f(a,a),a),f(x,a)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(x,f(a,a)) -> F(f(f(a,a),a),f(x,a)) ->->-> Rules: f(x,f(a,a)) -> f(f(f(a,a),a),f(x,a)) Problem 1: Reduction Pairs Processor: -> Pairs: F(x,f(a,a)) -> F(f(f(a,a),a),f(x,a)) -> Rules: f(x,f(a,a)) -> f(f(f(a,a),a),f(x,a)) -> Usable rules: f(x,f(a,a)) -> f(f(f(a,a),a),f(x,a)) ->Interpretation type: Simple mixed ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X1,X2) = 1/2.X1.X2 + 1/2.X2 [a] = 1/2 [F](X1,X2) = 2.X1.X2 + 2.X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(x,f(a,a)) -> f(f(f(a,a),a),f(x,a)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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