/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 
  divByZeroError : [] --> o 
  false : [] --> o 
  if!6220quot : [o * o * o * o] --> o 
  le : [o * o] --> o 
  minus : [o * o] --> o 
  quot : [o * o] --> o 
  s : [o] --> o 
  true : [] --> o 

  minus(X, X) => 0 
  minus(0, X) => 0 
  minus(X, 0) => X 
  minus(s(X), s(Y)) => minus(X, Y) 
  le(0, X) => true 
  le(s(X), 0) => false 
  le(s(X), s(Y)) => le(X, Y) 
  quot(X, Y) => if!6220quot(minus(X, Y), Y, le(Y, 0), le(Y, X)) 
  if!6220quot(X, Y, true, Z) => divByZeroError 
  if!6220quot(X, Y, false, true) => s(quot(X, Y)) 
  if!6220quot(X, Y, false, false) => 0