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


--------------------------------------------------------------------------------


NO

Problem 1: 

(VAR v_NonEmpty:S X:S Y:S Z:S)
(RULES
f(X:S) -> cons(X:S,f(g(X:S)))
g(0) -> s(0)
g(s(X:S)) -> s(s(g(X:S)))
sel(0,cons(X:S,Y:S)) -> X:S
sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,Z:S)
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 F(X:S) -> F(g(X:S))
 F(X:S) -> G(X:S)
 G(s(X:S)) -> G(X:S)
 SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,Z:S)
-> Rules:
 f(X:S) -> cons(X:S,f(g(X:S)))
 g(0) -> s(0)
 g(s(X:S)) -> s(s(g(X:S)))
 sel(0,cons(X:S,Y:S)) -> X:S
 sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,Z:S)

Problem 1: 

Infinite Processor:
-> Pairs:
 F(X:S) -> F(g(X:S))
 F(X:S) -> G(X:S)
 G(s(X:S)) -> G(X:S)
 SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,Z:S)
-> Rules:
 f(X:S) -> cons(X:S,f(g(X:S)))
 g(0) -> s(0)
 g(s(X:S)) -> s(s(g(X:S)))
 sel(0,cons(X:S,Y:S)) -> X:S
 sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,Z:S)
-> Pairs in cycle:
 F(X:S) -> F(g(X:S))

The problem is infinite.