split at rupAddSuccess
case isFalse.isFalse
n : Nat
f : DefaultFormula n
c : DefaultClause n
rupHints : Array Nat
f' : DefaultFormula n
f_readyForRupAdd : f.readyForRupAdd
h✝¹ : ¬(f.insertRupUnits c.negate).snd = true
h✝ : ¬((f.insertRupUnits c.negate).fst.performRupCheck rupHints).2.2.snd = true
rupAddSuccess :
  (if ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).2.2.fst = false then
      (((f.insertRupUnits c.negate).fst.performRupCheck rupHints).fst, false)
    else
      ({ clauses := ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).1.clauses,
                rupUnits := ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).1.rupUnits,
                ratUnits := ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).1.ratUnits,
                assignments :=
                  restoreAssignments ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).1.assignments
                    ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).2.fst }.clearRupUnits.insert
          c,
        true)) =
    (f', true)
⊢ f' = f.insert c
case isFalse.isFalse.isTrue
n : Nat
f : DefaultFormula n
c : DefaultClause n
rupHints : Array Nat
f' : DefaultFormula n
f_readyForRupAdd : f.readyForRupAdd
h✝² : ¬(f.insertRupUnits c.negate).snd = true
h✝¹ : ¬((f.insertRupUnits c.negate).fst.performRupCheck rupHints).2.2.snd = true
h✝ : ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).2.2.fst = false
rupAddSuccess : (((f.insertRupUnits c.negate).fst.performRupCheck rupHints).fst, false) = (f', true)
⊢ f' = f.insert c

case isFalse.isFalse.isFalse
n : Nat
f : DefaultFormula n
c : DefaultClause n
rupHints : Array Nat
f' : DefaultFormula n
f_readyForRupAdd : f.readyForRupAdd
h✝² : ¬(f.insertRupUnits c.negate).snd = true
h✝¹ : ¬((f.insertRupUnits c.negate).fst.performRupCheck rupHints).2.2.snd = true
h✝ : ¬((f.insertRupUnits c.negate).fst.performRupCheck rupHints).2.2.fst = false
rupAddSuccess :
  ({ clauses := ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).1.clauses,
              rupUnits := ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).1.rupUnits,
              ratUnits := ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).1.ratUnits,
              assignments :=
                restoreAssignments ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).1.assignments
                  ((f.insertRupUnits c.negate).fst.performRupCheck rupHints).2.fst }.clearRupUnits.insert
        c,
      true) =
    (f', true)
⊢ f' = f.insert c