/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
activate(n__f(X)) -> f(activate(X))
activate(n__h(X)) -> h(activate(X))
activate(X) -> X
f(X) -> g(n__h(n__f(X)))
f(X) -> n__f(X)
h(X) -> n__h(X)
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 ACTIVATE(n__f(X)) -> ACTIVATE(X)
 ACTIVATE(n__f(X)) -> F(activate(X))
 ACTIVATE(n__h(X)) -> ACTIVATE(X)
 ACTIVATE(n__h(X)) -> H(activate(X))
-> Rules:
 activate(n__f(X)) -> f(activate(X))
 activate(n__h(X)) -> h(activate(X))
 activate(X) -> X
 f(X) -> g(n__h(n__f(X)))
 f(X) -> n__f(X)
 h(X) -> n__h(X)

Problem 1: 

SCC Processor:
-> Pairs:
 ACTIVATE(n__f(X)) -> ACTIVATE(X)
 ACTIVATE(n__f(X)) -> F(activate(X))
 ACTIVATE(n__h(X)) -> ACTIVATE(X)
 ACTIVATE(n__h(X)) -> H(activate(X))
-> Rules:
 activate(n__f(X)) -> f(activate(X))
 activate(n__h(X)) -> h(activate(X))
 activate(X) -> X
 f(X) -> g(n__h(n__f(X)))
 f(X) -> n__f(X)
 h(X) -> n__h(X)
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 ACTIVATE(n__f(X)) -> ACTIVATE(X)
 ACTIVATE(n__h(X)) -> ACTIVATE(X)
->->-> Rules:
 activate(n__f(X)) -> f(activate(X))
 activate(n__h(X)) -> h(activate(X))
 activate(X) -> X
 f(X) -> g(n__h(n__f(X)))
 f(X) -> n__f(X)
 h(X) -> n__h(X)

Problem 1: 

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

Problem 1: 

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

The problem is finite.