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


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


YES

Problem 1: 

(VAR v_NonEmpty:S X:S Y:S Z:S)
(RULES
activate(n__from(X:S)) -> from(X:S)
activate(X:S) -> X:S
from(X:S) -> cons(X:S,n__from(s(X:S)))
from(X:S) -> n__from(X:S)
sel(0,cons(X:S,Y:S)) -> X:S
sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S))
)

Problem 1: 

Dependency Pairs Processor:
-> Pairs:
 ACTIVATE(n__from(X:S)) -> FROM(X:S)
 SEL(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S)
 SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S))
-> Rules:
 activate(n__from(X:S)) -> from(X:S)
 activate(X:S) -> X:S
 from(X:S) -> cons(X:S,n__from(s(X:S)))
 from(X:S) -> n__from(X:S)
 sel(0,cons(X:S,Y:S)) -> X:S
 sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S))

Problem 1: 

SCC Processor:
-> Pairs:
 ACTIVATE(n__from(X:S)) -> FROM(X:S)
 SEL(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S)
 SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S))
-> Rules:
 activate(n__from(X:S)) -> from(X:S)
 activate(X:S) -> X:S
 from(X:S) -> cons(X:S,n__from(s(X:S)))
 from(X:S) -> n__from(X:S)
 sel(0,cons(X:S,Y:S)) -> X:S
 sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S))
->Strongly Connected Components:
->->Cycle:
->->-> Pairs:
 SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S))
->->-> Rules:
 activate(n__from(X:S)) -> from(X:S)
 activate(X:S) -> X:S
 from(X:S) -> cons(X:S,n__from(s(X:S)))
 from(X:S) -> n__from(X:S)
 sel(0,cons(X:S,Y:S)) -> X:S
 sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S))

Problem 1: 

Subterm Processor:
-> Pairs:
 SEL(s(X:S),cons(Y:S,Z:S)) -> SEL(X:S,activate(Z:S))
-> Rules:
 activate(n__from(X:S)) -> from(X:S)
 activate(X:S) -> X:S
 from(X:S) -> cons(X:S,n__from(s(X:S)))
 from(X:S) -> n__from(X:S)
 sel(0,cons(X:S,Y:S)) -> X:S
 sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S))
->Projection:
 pi(SEL) = 1

Problem 1: 

SCC Processor:
-> Pairs:
 Empty
-> Rules:
 activate(n__from(X:S)) -> from(X:S)
 activate(X:S) -> X:S
 from(X:S) -> cons(X:S,n__from(s(X:S)))
 from(X:S) -> n__from(X:S)
 sel(0,cons(X:S,Y:S)) -> X:S
 sel(s(X:S),cons(Y:S,Z:S)) -> sel(X:S,activate(Z:S))
->Strongly Connected Components:
 There is no strongly connected component

The problem is finite.