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


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NO

Problem 1: 

(VAR v_NonEmpty:S X:S Y:S Z:S)
(RULES
first(0,X:S) -> nil
first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,first(X:S,Z:S))
from(X:S) -> cons(X:S,from(s(X:S)))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 FIRST(s(X:S),cons(Y:S,Z:S)) -> FIRST(X:S,Z:S)
 FROM(X:S) -> FROM(s(X:S))
-> Rules:
 first(0,X:S) -> nil
 first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,first(X:S,Z:S))
 from(X:S) -> cons(X:S,from(s(X:S)))

Problem 1: 

Infinite Processor:
-> Pairs:
 FIRST(s(X:S),cons(Y:S,Z:S)) -> FIRST(X:S,Z:S)
 FROM(X:S) -> FROM(s(X:S))
-> Rules:
 first(0,X:S) -> nil
 first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,first(X:S,Z:S))
 from(X:S) -> cons(X:S,from(s(X:S)))
-> Pairs in cycle:
 FROM(X:S) -> FROM(s(X:S))

The problem is infinite.