/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 
  g : [o * o] --> o 
  h : [o] --> o 
  mark : [o] --> o 

  active(h(X)) => mark(g(X, X)) 
  active(g(a, X)) => mark(f(b, X)) 
  active(f(X, X)) => mark(h(a)) 
  active(a) => mark(b) 
  mark(h(X)) => active(h(mark(X))) 
  mark(g(X, Y)) => active(g(mark(X), Y)) 
  mark(a) => active(a) 
  mark(f(X, Y)) => active(f(mark(X), Y)) 
  mark(b) => active(b) 
  h(mark(X)) => h(X) 
  h(active(X)) => h(X) 
  g(mark(X), Y) => g(X, Y) 
  g(X, mark(Y)) => g(X, Y) 
  g(active(X), Y) => g(X, Y) 
  g(X, active(Y)) => g(X, Y) 
  f(mark(X), Y) => f(X, Y) 
  f(X, mark(Y)) => f(X, Y) 
  f(active(X), Y) => f(X, Y) 
  f(X, active(Y)) => f(X, Y)