/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  0 : [] --> o 
  01 : [] --> o 
  activate : [o] --> o 
  cons : [o * o] --> o 
  dbl : [o] --> o 
  dbl1 : [o] --> o 
  dbls : [o] --> o 
  from : [o] --> o 
  indx : [o * o] --> o 
  n!6220!6220dbl : [o] --> o 
  n!6220!6220dbls : [o] --> o 
  n!6220!6220from : [o] --> o 
  n!6220!6220indx : [o * o] --> o 
  n!6220!6220s : [o] --> o 
  n!6220!6220sel : [o * o] --> o 
  nil : [] --> o 
  quote : [o] --> o 
  s : [o] --> o 
  s1 : [o] --> o 
  sel : [o * o] --> o 
  sel1 : [o * o] --> o 

  dbl(0) => 0 
  dbl(s(X)) => s(n!6220!6220s(n!6220!6220dbl(activate(X)))) 
  dbls(nil) => nil 
  dbls(cons(X, Y)) => cons(n!6220!6220dbl(activate(X)), n!6220!6220dbls(activate(Y))) 
  sel(0, cons(X, Y)) => activate(X) 
  sel(s(X), cons(Y, Z)) => sel(activate(X), activate(Z)) 
  indx(nil, X) => nil 
  indx(cons(X, Y), Z) => cons(n!6220!6220sel(activate(X), activate(Z)), n!6220!6220indx(activate(Y), activate(Z))) 
  from(X) => cons(activate(X), n!6220!6220from(n!6220!6220s(activate(X)))) 
  dbl1(0) => 01 
  dbl1(s(X)) => s1(s1(dbl1(activate(X)))) 
  sel1(0, cons(X, Y)) => activate(X) 
  sel1(s(X), cons(Y, Z)) => sel1(activate(X), activate(Z)) 
  quote(0) => 01 
  quote(s(X)) => s1(quote(activate(X))) 
  quote(dbl(X)) => dbl1(X) 
  quote(sel(X, Y)) => sel1(X, Y) 
  s(X) => n!6220!6220s(X) 
  dbl(X) => n!6220!6220dbl(X) 
  dbls(X) => n!6220!6220dbls(X) 
  sel(X, Y) => n!6220!6220sel(X, Y) 
  indx(X, Y) => n!6220!6220indx(X, Y) 
  from(X) => n!6220!6220from(X) 
  activate(n!6220!6220s(X)) => s(X) 
  activate(n!6220!6220dbl(X)) => dbl(activate(X)) 
  activate(n!6220!6220dbls(X)) => dbls(activate(X)) 
  activate(n!6220!6220sel(X, Y)) => sel(activate(X), activate(Y)) 
  activate(n!6220!6220indx(X, Y)) => indx(activate(X), Y) 
  activate(n!6220!6220from(X)) => from(X) 
  activate(X) => X