/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.

  0 : [] --> o 
  activate : [o] --> o 
  adx : [o] --> o 
  cons : [o * o] --> o 
  head : [o] --> o 
  incr : [o] --> o 
  n!6220!6220adx : [o] --> o 
  n!6220!6220incr : [o] --> o 
  n!6220!6220zeros : [] --> o 
  nats : [] --> o 
  nil : [] --> o 
  s : [o] --> o 
  tail : [o] --> o 
  zeros : [] --> o 

  incr(nil) => nil 
  incr(cons(X, Y)) => cons(s(X), n!6220!6220incr(activate(Y))) 
  adx(nil) => nil 
  adx(cons(X, Y)) => incr(cons(X, n!6220!6220adx(activate(Y)))) 
  nats => adx(zeros) 
  zeros => cons(0, n!6220!6220zeros) 
  head(cons(X, Y)) => X 
  tail(cons(X, Y)) => activate(Y) 
  incr(X) => n!6220!6220incr(X) 
  adx(X) => n!6220!6220adx(X) 
  zeros => n!6220!6220zeros 
  activate(n!6220!6220incr(X)) => incr(activate(X)) 
  activate(n!6220!6220adx(X)) => adx(activate(X)) 
  activate(n!6220!6220zeros) => zeros 
  activate(X) => X