/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  !minus : [o * o] --> o 
  !plus : [o * o] --> o 
  !times : [o * o] --> o 
  0 : [] --> o 
  f : [o * o] --> o 
  max : [o * o] --> o 
  min : [o * o] --> o 
  p : [o] --> o 
  s : [o] --> o 

  min(0, X) => 0 
  min(X, 0) => 0 
  min(s(X), s(Y)) => s(min(X, Y)) 
  max(0, X) => X 
  max(X, 0) => X 
  max(s(X), s(Y)) => s(max(X, Y)) 
  !plus(0, X) => X 
  !plus(s(X), Y) => s(!plus(X, Y)) 
  !minus(X, 0) => X 
  !minus(s(X), s(Y)) => !minus(X, Y) 
  !times(X, 0) => 0 
  !times(X, s(Y)) => !plus(X, !times(X, Y)) 
  p(s(X)) => X 
  f(s(X), s(Y)) => f(!minus(min(s(X), s(Y)), max(s(X), s(Y))), !times(s(X), s(Y)))