/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 
  cons : [o * o] --> o 
  cons1 : [o * o] --> o 
  fcons : [o * o] --> o 
  first : [o * o] --> o 
  first1 : [o * o] --> o 
  from : [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 

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