/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 
  cons : [o * o] --> o 
  from : [o] --> o 
  minus : [o * o] --> o 
  nil : [] --> o 
  quot : [o * o] --> o 
  s : [o] --> o 
  sel : [o * o] --> o 
  zWquot : [o * o] --> o 

  from(X) => cons(X, from(s(X))) 
  sel(0, cons(X, Y)) => X 
  sel(s(X), cons(Y, Z)) => sel(X, Z) 
  minus(X, 0) => 0 
  minus(s(X), s(Y)) => minus(X, Y) 
  quot(0, s(X)) => 0 
  quot(s(X), s(Y)) => s(quot(minus(X, Y), s(Y))) 
  zWquot(X, nil) => nil 
  zWquot(nil, X) => nil 
  zWquot(cons(X, Y), cons(Z, U)) => cons(quot(X, Z), zWquot(Y, U))