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


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NO

Problem:
 app(nil(),YS) -> YS
 app(cons(X,XS),YS) -> cons(X,n__app(activate(XS),YS))
 from(X) -> cons(X,n__from(s(X)))
 zWadr(nil(),YS) -> nil()
 zWadr(XS,nil()) -> nil()
 zWadr(cons(X,XS),cons(Y,YS)) -> cons(app(Y,cons(X,n__nil())),n__zWadr(activate(XS),activate(YS)))
 prefix(L) -> cons(nil(),n__zWadr(L,prefix(L)))
 app(X1,X2) -> n__app(X1,X2)
 from(X) -> n__from(X)
 nil() -> n__nil()
 zWadr(X1,X2) -> n__zWadr(X1,X2)
 activate(n__app(X1,X2)) -> app(X1,X2)
 activate(n__from(X)) -> from(X)
 activate(n__nil()) -> nil()
 activate(n__zWadr(X1,X2)) -> zWadr(X1,X2)
 activate(X) -> X

Proof:
 Containment Processor:
  loop length: 1
  terms:
   prefix(L)
  context: cons(nil(),n__zWadr(L,[]))
  substitution:
   L -> L
  Qed