/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 
  a!6220!6220f : [o] --> o 
  a!6220!6220g : [o] --> o 
  a!6220!6220sel : [o * o] --> o 
  cons : [o * o] --> o 
  f : [o] --> o 
  g : [o] --> o 
  mark : [o] --> o 
  s : [o] --> o 
  sel : [o * o] --> o 

  a!6220!6220f(X) => cons(mark(X), f(g(X))) 
  a!6220!6220g(0) => s(0) 
  a!6220!6220g(s(X)) => s(s(a!6220!6220g(mark(X)))) 
  a!6220!6220sel(0, cons(X, Y)) => mark(X) 
  a!6220!6220sel(s(X), cons(Y, Z)) => a!6220!6220sel(mark(X), mark(Z)) 
  mark(f(X)) => a!6220!6220f(mark(X)) 
  mark(g(X)) => a!6220!6220g(mark(X)) 
  mark(sel(X, Y)) => a!6220!6220sel(mark(X), mark(Y)) 
  mark(cons(X, Y)) => cons(mark(X), Y) 
  mark(0) => 0 
  mark(s(X)) => s(mark(X)) 
  a!6220!6220f(X) => f(X) 
  a!6220!6220g(X) => g(X) 
  a!6220!6220sel(X, Y) => sel(X, Y)