/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 
  div : [o * o] --> o 
  minus : [o * o] --> o 
  p : [o] --> o 
  plus : [o * o] --> o 
  s : [o] --> o 

  minus(X, 0) => X 
  minus(0, X) => 0 
  minus(s(X), s(Y)) => minus(p(s(X)), p(s(Y))) 
  minus(X, plus(Y, Z)) => minus(minus(X, Y), Z) 
  p(s(s(X))) => s(p(s(X))) 
  p(0) => s(s(0)) 
  div(s(X), s(Y)) => s(div(minus(X, Y), s(Y))) 
  div(plus(X, Y), Z) => plus(div(X, Z), div(Y, Z)) 
  plus(0, X) => X 
  plus(s(X), Y) => s(plus(Y, minus(s(X), s(0))))