/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 
  cons : [o * o] --> o 
  divides : [o * o] --> o 
  false : [] --> o 
  filter : [o * o] --> o 
  from : [o] --> o 
  head : [o] --> o 
  if : [o * o * o] --> o 
  n!6220!6220cons : [o * o] --> o 
  n!6220!6220filter : [o * o] --> o 
  n!6220!6220from : [o] --> o 
  n!6220!6220s : [o] --> o 
  n!6220!6220sieve : [o] --> o 
  primes : [] --> o 
  s : [o] --> o 
  sieve : [o] --> o 
  tail : [o] --> o 
  true : [] --> o 

  primes => sieve(from(s(s(0)))) 
  from(X) => cons(X, n!6220!6220from(n!6220!6220s(X))) 
  head(cons(X, Y)) => X 
  tail(cons(X, Y)) => activate(Y) 
  if(true, X, Y) => activate(X) 
  if(false, X, Y) => activate(Y) 
  filter(s(s(X)), cons(Y, Z)) => if(divides(s(s(X)), Y), n!6220!6220filter(n!6220!6220s(n!6220!6220s(X)), activate(Z)), n!6220!6220cons(Y, n!6220!6220filter(X, n!6220!6220sieve(Y)))) 
  sieve(cons(X, Y)) => cons(X, n!6220!6220filter(X, n!6220!6220sieve(activate(Y)))) 
  from(X) => n!6220!6220from(X) 
  s(X) => n!6220!6220s(X) 
  filter(X, Y) => n!6220!6220filter(X, Y) 
  cons(X, Y) => n!6220!6220cons(X, Y) 
  sieve(X) => n!6220!6220sieve(X) 
  activate(n!6220!6220from(X)) => from(activate(X)) 
  activate(n!6220!6220s(X)) => s(activate(X)) 
  activate(n!6220!6220filter(X, Y)) => filter(activate(X), activate(Y)) 
  activate(n!6220!6220cons(X, Y)) => cons(activate(X), Y) 
  activate(n!6220!6220sieve(X)) => sieve(activate(X)) 
  activate(X) => X