/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 
  01 : [] --> o 
  active : [o] --> o 
  cons : [o * o] --> o 
  cons1 : [o * o] --> o 
  fcons : [o * o] --> o 
  first : [o * o] --> o 
  first1 : [o * o] --> o 
  from : [o] --> o 
  mark : [o] --> o 
  nil : [] --> o 
  nil1 : [] --> o 
  quote : [o] --> o 
  quote1 : [o] --> o 
  s : [o] --> o 
  s1 : [o] --> o 
  sel : [o * o] --> o 
  sel1 : [o * o] --> o 
  unquote : [o] --> o 
  unquote1 : [o] --> o 

  active(sel(s(X), cons(Y, Z))) => mark(sel(X, Z)) 
  active(sel(0, cons(X, Y))) => mark(X) 
  active(first(0, X)) => mark(nil) 
  active(first(s(X), cons(Y, Z))) => mark(cons(Y, first(X, Z))) 
  active(from(X)) => mark(cons(X, from(s(X)))) 
  active(sel1(s(X), cons(Y, Z))) => mark(sel1(X, Z)) 
  active(sel1(0, cons(X, Y))) => mark(quote(X)) 
  active(first1(0, X)) => mark(nil1) 
  active(first1(s(X), cons(Y, Z))) => mark(cons1(quote(Y), first1(X, Z))) 
  active(quote(0)) => mark(01) 
  active(quote1(cons(X, Y))) => mark(cons1(quote(X), quote1(Y))) 
  active(quote1(nil)) => mark(nil1) 
  active(quote(s(X))) => mark(s1(quote(X))) 
  active(quote(sel(X, Y))) => mark(sel1(X, Y)) 
  active(quote1(first(X, Y))) => mark(first1(X, Y)) 
  active(unquote(01)) => mark(0) 
  active(unquote(s1(X))) => mark(s(unquote(X))) 
  active(unquote1(nil1)) => mark(nil) 
  active(unquote1(cons1(X, Y))) => mark(fcons(unquote(X), unquote1(Y))) 
  active(fcons(X, Y)) => mark(cons(X, Y)) 
  mark(sel(X, Y)) => active(sel(mark(X), mark(Y))) 
  mark(s(X)) => active(s(mark(X))) 
  mark(cons(X, Y)) => active(cons(mark(X), Y)) 
  mark(0) => active(0) 
  mark(first(X, Y)) => active(first(mark(X), mark(Y))) 
  mark(nil) => active(nil) 
  mark(from(X)) => active(from(mark(X))) 
  mark(sel1(X, Y)) => active(sel1(mark(X), mark(Y))) 
  mark(quote(X)) => active(quote(X)) 
  mark(first1(X, Y)) => active(first1(mark(X), mark(Y))) 
  mark(nil1) => active(nil1) 
  mark(cons1(X, Y)) => active(cons1(mark(X), mark(Y))) 
  mark(01) => active(01) 
  mark(quote1(X)) => active(quote1(X)) 
  mark(s1(X)) => active(s1(mark(X))) 
  mark(unquote(X)) => active(unquote(mark(X))) 
  mark(unquote1(X)) => active(unquote1(mark(X))) 
  mark(fcons(X, Y)) => active(fcons(mark(X), mark(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) 
  s(mark(X)) => s(X) 
  s(active(X)) => s(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) 
  first(mark(X), Y) => first(X, Y) 
  first(X, mark(Y)) => first(X, Y) 
  first(active(X), Y) => first(X, Y) 
  first(X, active(Y)) => first(X, Y) 
  from(mark(X)) => from(X) 
  from(active(X)) => from(X) 
  sel1(mark(X), Y) => sel1(X, Y) 
  sel1(X, mark(Y)) => sel1(X, Y) 
  sel1(active(X), Y) => sel1(X, Y) 
  sel1(X, active(Y)) => sel1(X, Y) 
  quote(mark(X)) => quote(X) 
  quote(active(X)) => quote(X) 
  first1(mark(X), Y) => first1(X, Y) 
  first1(X, mark(Y)) => first1(X, Y) 
  first1(active(X), Y) => first1(X, Y) 
  first1(X, active(Y)) => first1(X, Y) 
  cons1(mark(X), Y) => cons1(X, Y) 
  cons1(X, mark(Y)) => cons1(X, Y) 
  cons1(active(X), Y) => cons1(X, Y) 
  cons1(X, active(Y)) => cons1(X, Y) 
  quote1(mark(X)) => quote1(X) 
  quote1(active(X)) => quote1(X) 
  s1(mark(X)) => s1(X) 
  s1(active(X)) => s1(X) 
  unquote(mark(X)) => unquote(X) 
  unquote(active(X)) => unquote(X) 
  unquote1(mark(X)) => unquote1(X) 
  unquote1(active(X)) => unquote1(X) 
  fcons(mark(X), Y) => fcons(X, Y) 
  fcons(X, mark(Y)) => fcons(X, Y) 
  fcons(active(X), Y) => fcons(X, Y) 
  fcons(X, active(Y)) => fcons(X, Y)