/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

Problem 1: 

(VAR x)
(RULES
f(a,f(a,x)) -> f(a,f(f(a,a),f(a,x)))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(a,f(a,x)) -> F(f(a,a),f(a,x))
 F(a,f(a,x)) -> F(a,f(f(a,a),f(a,x)))
-> Rules:
 f(a,f(a,x)) -> f(a,f(f(a,a),f(a,x)))

Problem 1: 

SCC Processor:
-> Pairs:
 F(a,f(a,x)) -> F(f(a,a),f(a,x))
 F(a,f(a,x)) -> F(a,f(f(a,a),f(a,x)))
-> Rules:
 f(a,f(a,x)) -> f(a,f(f(a,a),f(a,x)))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.