/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.

  0 : [] --> o 
  01 : [] --> o 
  active : [o] --> o 
  cons : [o * o] --> o 
  dbl : [o] --> o 
  dbl1 : [o] --> o 
  dbls : [o] --> o 
  from : [o] --> o 
  indx : [o * o] --> o 
  mark : [o] --> o 
  nil : [] --> o 
  quote : [o] --> o 
  s : [o] --> o 
  s1 : [o] --> o 
  sel : [o * o] --> o 
  sel1 : [o * o] --> o 

  active(dbl(0)) => mark(0) 
  active(dbl(s(X))) => mark(s(s(dbl(X)))) 
  active(dbls(nil)) => mark(nil) 
  active(dbls(cons(X, Y))) => mark(cons(dbl(X), dbls(Y))) 
  active(sel(0, cons(X, Y))) => mark(X) 
  active(sel(s(X), cons(Y, Z))) => mark(sel(X, Z)) 
  active(indx(nil, X)) => mark(nil) 
  active(indx(cons(X, Y), Z)) => mark(cons(sel(X, Z), indx(Y, Z))) 
  active(from(X)) => mark(cons(X, from(s(X)))) 
  active(dbl1(0)) => mark(01) 
  active(dbl1(s(X))) => mark(s1(s1(dbl1(X)))) 
  active(sel1(0, cons(X, Y))) => mark(X) 
  active(sel1(s(X), cons(Y, Z))) => mark(sel1(X, Z)) 
  active(quote(0)) => mark(01) 
  active(quote(s(X))) => mark(s1(quote(X))) 
  active(quote(dbl(X))) => mark(dbl1(X)) 
  active(quote(sel(X, Y))) => mark(sel1(X, Y)) 
  mark(dbl(X)) => active(dbl(mark(X))) 
  mark(0) => active(0) 
  mark(s(X)) => active(s(X)) 
  mark(dbls(X)) => active(dbls(mark(X))) 
  mark(nil) => active(nil) 
  mark(cons(X, Y)) => active(cons(X, Y)) 
  mark(sel(X, Y)) => active(sel(mark(X), mark(Y))) 
  mark(indx(X, Y)) => active(indx(mark(X), Y)) 
  mark(from(X)) => active(from(X)) 
  mark(dbl1(X)) => active(dbl1(mark(X))) 
  mark(01) => active(01) 
  mark(s1(X)) => active(s1(mark(X))) 
  mark(sel1(X, Y)) => active(sel1(mark(X), mark(Y))) 
  mark(quote(X)) => active(quote(mark(X))) 
  dbl(mark(X)) => dbl(X) 
  dbl(active(X)) => dbl(X) 
  s(mark(X)) => s(X) 
  s(active(X)) => s(X) 
  dbls(mark(X)) => dbls(X) 
  dbls(active(X)) => dbls(X) 
  cons(mark(X), Y) => cons(X, Y) 
  cons(X, mark(Y)) => cons(X, Y) 
  cons(active(X), Y) => cons(X, Y) 
  cons(X, active(Y)) => cons(X, Y) 
  sel(mark(X), Y) => sel(X, Y) 
  sel(X, mark(Y)) => sel(X, Y) 
  sel(active(X), Y) => sel(X, Y) 
  sel(X, active(Y)) => sel(X, Y) 
  indx(mark(X), Y) => indx(X, Y) 
  indx(X, mark(Y)) => indx(X, Y) 
  indx(active(X), Y) => indx(X, Y) 
  indx(X, active(Y)) => indx(X, Y) 
  from(mark(X)) => from(X) 
  from(active(X)) => from(X) 
  dbl1(mark(X)) => dbl1(X) 
  dbl1(active(X)) => dbl1(X) 
  s1(mark(X)) => s1(X) 
  s1(active(X)) => s1(X) 
  sel1(mark(X), Y) => sel1(X, Y) 
  sel1(X, mark(Y)) => sel1(X, Y) 
  sel1(active(X), Y) => sel1(X, Y) 
  sel1(X, active(Y)) => sel1(X, Y) 
  quote(mark(X)) => quote(X) 
  quote(active(X)) => quote(X)