/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.

  0 : [] --> o 
  and : [o * o] --> o 
  f : [o * o * o * o] --> o 
  false : [] --> o 
  gt : [o * o] --> o 
  s : [o] --> o 
  true : [] --> o 

  f(true, X, Y, Z) => f(and(gt(X, Y), gt(X, Z)), X, s(Y), Z) 
  f(true, X, Y, Z) => f(and(gt(X, Y), gt(X, Z)), X, Y, s(Z)) 
  gt(0, X) => false 
  gt(s(X), 0) => true 
  gt(s(X), s(Y)) => gt(X, Y) 
  and(X, true) => X 
  and(X, false) => false