/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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 
  ok : [o] --> o 
  proper : [o] --> o 
  top : [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) 
  active(h(X)) => h(active(X)) 
  active(g(X, Y)) => g(active(X), Y) 
  active(f(X, Y)) => f(active(X), Y) 
  h(mark(X)) => mark(h(X)) 
  g(mark(X), Y) => mark(g(X, Y)) 
  f(mark(X), Y) => mark(f(X, Y)) 
  proper(h(X)) => h(proper(X)) 
  proper(g(X, Y)) => g(proper(X), proper(Y)) 
  proper(a) => ok(a) 
  proper(f(X, Y)) => f(proper(X), proper(Y)) 
  proper(b) => ok(b) 
  h(ok(X)) => ok(h(X)) 
  g(ok(X), ok(Y)) => ok(g(X, Y)) 
  f(ok(X), ok(Y)) => ok(f(X, Y)) 
  top(mark(X)) => top(proper(X)) 
  top(ok(X)) => top(active(X))