/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 
  eq : [o * o] --> o 
  f : [o * o] --> o 
  false : [] --> o 
  minus : [o * o] --> o 
  plus : [o * o] --> o 
  plus1 : [o] --> o 
  s : [o] --> o 
  true : [] --> o 

  f(true, X) => f(eq(0, minus(X, X)), plus1(X)) 
  plus1(X) => plus(s(0), X) 
  plus(0, X) => X 
  plus(s(X), Y) => s(plus(X, Y)) 
  minus(X, 0) => X 
  minus(0, X) => 0 
  minus(s(X), s(Y)) => minus(X, Y) 
  eq(0, 0) => true 
  eq(s(X), 0) => false 
  eq(0, s(X)) => false 
  eq(s(X), s(Y)) => eq(X, Y)