/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


NO

Problem:
 U11(tt()) -> U12(splitAt(N,XS))
 U12(pair(YS,ZS)) -> pair(cons(X),ZS)
 and(tt()) -> X
 tail(cons(N)) -> XS
 afterNth(N,XS) -> snd(splitAt(N,XS))
 fst(pair(X,Y)) -> X
 head(cons(N)) -> N
 natsFrom(N) -> cons(N)
 sel(N,XS) -> head(afterNth(N,XS))
 snd(pair(X,Y)) -> Y
 splitAt(0(),XS) -> pair(nil(),XS)
 splitAt(s(N),cons(X)) -> U11(tt())
 take(N,XS) -> fst(splitAt(N,XS))

Proof:
 Fresh Variable Processor:
  loop length: 1
  terms:
   U11(tt())
  context: U12(splitAt([],XS))
  substitution:
   N -> U11(tt())
  Qed