/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem 1: 

(VAR X)
(RULES
a -> n__a
activate(n__a) -> a
activate(n__f(X)) -> f(activate(X))
activate(X) -> X
f(f(a)) -> f(g(n__f(n__a)))
f(X) -> n__f(X)
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 ACTIVATE(n__a) -> A
 ACTIVATE(n__f(X)) -> ACTIVATE(X)
 ACTIVATE(n__f(X)) -> F(activate(X))
 F(f(a)) -> F(g(n__f(n__a)))
-> Rules:
 a -> n__a
 activate(n__a) -> a
 activate(n__f(X)) -> f(activate(X))
 activate(X) -> X
 f(f(a)) -> f(g(n__f(n__a)))
 f(X) -> n__f(X)

Problem 1: 

SCC Processor:
-> Pairs:
 ACTIVATE(n__a) -> A
 ACTIVATE(n__f(X)) -> ACTIVATE(X)
 ACTIVATE(n__f(X)) -> F(activate(X))
 F(f(a)) -> F(g(n__f(n__a)))
-> Rules:
 a -> n__a
 activate(n__a) -> a
 activate(n__f(X)) -> f(activate(X))
 activate(X) -> X
 f(f(a)) -> f(g(n__f(n__a)))
 f(X) -> n__f(X)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 ACTIVATE(n__f(X)) -> ACTIVATE(X)
->->-> Rules:
 a -> n__a
 activate(n__a) -> a
 activate(n__f(X)) -> f(activate(X))
 activate(X) -> X
 f(f(a)) -> f(g(n__f(n__a)))
 f(X) -> n__f(X)

Problem 1: 

Subterm Processor:
-> Pairs:
 ACTIVATE(n__f(X)) -> ACTIVATE(X)
-> Rules:
 a -> n__a
 activate(n__a) -> a
 activate(n__f(X)) -> f(activate(X))
 activate(X) -> X
 f(f(a)) -> f(g(n__f(n__a)))
 f(X) -> n__f(X)
->Projection:
 pi(ACTIVATE) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 a -> n__a
 activate(n__a) -> a
 activate(n__f(X)) -> f(activate(X))
 activate(X) -> X
 f(f(a)) -> f(g(n__f(n__a)))
 f(X) -> n__f(X)
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.