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


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MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  0 : [] --> o 
  2nd : [o] --> o 
  active : [o] --> o 
  cons : [o * o] --> o 
  from : [o] --> o 
  head : [o] --> o 
  mark : [o] --> o 
  nil : [] --> o 
  s : [o] --> o 
  sel : [o * o] --> o 
  take : [o * o] --> o 

  active(from(X)) => mark(cons(X, from(s(X)))) 
  active(head(cons(X, Y))) => mark(X) 
  active(2nd(cons(X, Y))) => mark(head(Y)) 
  active(take(0, X)) => mark(nil) 
  active(take(s(X), cons(Y, Z))) => mark(cons(Y, take(X, Z))) 
  active(sel(0, cons(X, Y))) => mark(X) 
  active(sel(s(X), cons(Y, Z))) => mark(sel(X, Z)) 
  mark(from(X)) => active(from(mark(X))) 
  mark(cons(X, Y)) => active(cons(mark(X), Y)) 
  mark(s(X)) => active(s(mark(X))) 
  mark(head(X)) => active(head(mark(X))) 
  mark(2nd(X)) => active(2nd(mark(X))) 
  mark(take(X, Y)) => active(take(mark(X), mark(Y))) 
  mark(0) => active(0) 
  mark(nil) => active(nil) 
  mark(sel(X, Y)) => active(sel(mark(X), mark(Y))) 
  from(mark(X)) => from(X) 
  from(active(X)) => from(X) 
  cons(mark(X), Y) => cons(X, Y) 
  cons(X, mark(Y)) => cons(X, Y) 
  cons(active(X), Y) => cons(X, Y) 
  cons(X, active(Y)) => cons(X, Y) 
  s(mark(X)) => s(X) 
  s(active(X)) => s(X) 
  head(mark(X)) => head(X) 
  head(active(X)) => head(X) 
  2nd(mark(X)) => 2nd(X) 
  2nd(active(X)) => 2nd(X) 
  take(mark(X), Y) => take(X, Y) 
  take(X, mark(Y)) => take(X, Y) 
  take(active(X), Y) => take(X, Y) 
  take(X, active(Y)) => take(X, Y) 
  sel(mark(X), Y) => sel(X, Y) 
  sel(X, mark(Y)) => sel(X, Y) 
  sel(active(X), Y) => sel(X, Y) 
  sel(X, active(Y)) => sel(X, Y)