/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.

  a : [] --> o 
  active : [o] --> o 
  b : [] --> o 
  f : [o * o * o] --> o 
  mark : [o] --> o 
  ok : [o] --> o 
  proper : [o] --> o 
  top : [o] --> o 

  active(f(a, X, X)) => mark(f(X, b, b)) 
  active(b) => mark(a) 
  active(f(X, Y, Z)) => f(X, active(Y), Z) 
  f(X, mark(Y), Z) => mark(f(X, Y, Z)) 
  proper(f(X, Y, Z)) => f(proper(X), proper(Y), proper(Z)) 
  proper(a) => ok(a) 
  proper(b) => ok(b) 
  f(ok(X), ok(Y), ok(Z)) => ok(f(X, Y, Z)) 
  top(mark(X)) => top(proper(X)) 
  top(ok(X)) => top(active(X))