/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 
  activate : [o] --> o 
  div : [o * o] --> o 
  false : [] --> o 
  geq : [o * o] --> o 
  if : [o * o * o] --> o 
  minus : [o * o] --> o 
  n!6220!62200 : [] --> o 
  n!6220!6220div : [o * o] --> o 
  n!6220!6220minus : [o * o] --> o 
  n!6220!6220s : [o] --> o 
  s : [o] --> o 
  true : [] --> o 

  minus(n!6220!62200, X) => 0 
  minus(n!6220!6220s(X), n!6220!6220s(Y)) => minus(activate(X), activate(Y)) 
  geq(X, n!6220!62200) => true 
  geq(n!6220!62200, n!6220!6220s(X)) => false 
  geq(n!6220!6220s(X), n!6220!6220s(Y)) => geq(activate(X), activate(Y)) 
  div(0, n!6220!6220s(X)) => 0 
  div(s(X), n!6220!6220s(Y)) => if(geq(X, activate(Y)), n!6220!6220s(n!6220!6220div(n!6220!6220minus(X, activate(Y)), n!6220!6220s(activate(Y)))), n!6220!62200) 
  if(true, X, Y) => activate(X) 
  if(false, X, Y) => activate(Y) 
  0 => n!6220!62200 
  s(X) => n!6220!6220s(X) 
  div(X, Y) => n!6220!6220div(X, Y) 
  minus(X, Y) => n!6220!6220minus(X, Y) 
  activate(n!6220!62200) => 0 
  activate(n!6220!6220s(X)) => s(activate(X)) 
  activate(n!6220!6220div(X, Y)) => div(activate(X), Y) 
  activate(n!6220!6220minus(X, Y)) => minus(X, Y) 
  activate(X) => X