/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO

Problem:
 U12(tt()) -> snd(splitAt(N,XS))
 U22(tt()) -> X
 U32(tt()) -> N
 U42(tt()) -> head(afterNth(N,XS))
 U52(tt()) -> Y
 U63(tt()) -> U64(splitAt(N,XS))
 U64(pair(YS,ZS)) -> pair(cons(X),ZS)
 U72(tt()) -> XS
 U82(tt()) -> fst(splitAt(N,XS))
 U11(tt()) -> U12(tt())
 U21(tt()) -> U22(tt())
 U31(tt()) -> U32(tt())
 U41(tt()) -> U42(tt())
 U51(tt()) -> U52(tt())
 U61(tt()) -> U62(tt())
 U62(tt()) -> U63(tt())
 U71(tt()) -> U72(tt())
 U81(tt()) -> U82(tt())
 afterNth(N,XS) -> U11(tt())
 fst(pair(X,Y)) -> U21(tt())
 head(cons(N)) -> U31(tt())
 natsFrom(N) -> cons(N)
 sel(N,XS) -> U41(tt())
 snd(pair(X,Y)) -> U51(tt())
 splitAt(0(),XS) -> pair(nil(),XS)
 splitAt(s(N),cons(X)) -> U61(tt())
 tail(cons(N)) -> U71(tt())
 take(N,XS) -> U81(tt())

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