NO

1 decompositions
 #1 -----------
   1: not(true()) -> false()
   2: not(false()) -> true()
   3: or(true(),x1) -> true()
   4: or(x2,true()) -> true()
   5: or(false(),false()) -> false()
   7: and(x3,true()) -> x3
   8: and(true(),x4) -> x4
   9: and(false(),false()) -> false()
  10: not(and(x5,x6)) -> or(not(x5),not(x6))
  11: not(or(x7,x8)) -> and(not(x7),not(x8))

unjoinable peak
    false()
*<- not(or(true(),x24)) ->*
    and(false(),not(x24))
NOTE: input TRS is reduced

original is
   1: not(true()) -> false()
   2: not(false()) -> true()
   3: or(true(),x1) -> true()
   4: or(x2,true()) -> true()
   5: or(false(),false()) -> false()
   6: and(true(),true()) -> true()
   7: and(x3,true()) -> x3
   8: and(true(),x4) -> x4
   9: and(false(),false()) -> false()
  10: not(and(x5,x6)) -> or(not(x5),not(x6))
  11: not(or(x7,x8)) -> and(not(x7),not(x8))

reduced to
   1: not(true()) -> false()
   2: not(false()) -> true()
   3: or(true(),x1) -> true()
   4: or(x2,true()) -> true()
   5: or(false(),false()) -> false()
   7: and(x3,true()) -> x3
   8: and(true(),x4) -> x4
   9: and(false(),false()) -> false()
  10: not(and(x5,x6)) -> or(not(x5),not(x6))
  11: not(or(x7,x8)) -> and(not(x7),not(x8))