Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
"Infernoid" monsters you control whose original Levels are 2 or higher become Level 1 and all battle damage they inflict to your opponent is halved. You can send this card to the Graveyard; Fusion Summon 1 "Infernoid" Fusion Monster from your Extra Deck, using monsters from your hand or your side of the field as Fusion Materials. If your opponent controls a monster that was Special Summoned from the Extra Deck, and you do not, you can also use up to 6 monsters in your Deck as Fusion Materials.
--煉獄の虚夢
--Void Imagination
local s,id=GetID()
function s.initial_effect(c)
	--Activate
	local e1=Effect.CreateEffect(c)
	e1:SetType(EFFECT_TYPE_ACTIVATE)
	e1:SetCode(EVENT_FREE_CHAIN)
	c:RegisterEffect(e1)
	--Change level
	local e2=Effect.CreateEffect(c)
	e2:SetType(EFFECT_TYPE_FIELD)
	e2:SetCode(EFFECT_CHANGE_LEVEL)
	e2:SetRange(LOCATION_SZONE)
	e2:SetTargetRange(LOCATION_MZONE,0)
	e2:SetValue(1)
	e2:SetTarget(s.lvtg)
	c:RegisterEffect(e2)
	--Reduce battle damage
	local e3=Effect.CreateEffect(c)
	e3:SetType(EFFECT_TYPE_FIELD)
	e3:SetCode(EFFECT_CHANGE_BATTLE_DAMAGE)
	e3:SetTargetRange(LOCATION_MZONE,0)
	e3:SetRange(LOCATION_SZONE)
	e3:SetTarget(s.rdtg)
	e3:SetValue(aux.ChangeBattleDamage(1,HALF_DAMAGE))
	c:RegisterEffect(e3)
	--Fusion Summon
	local params = {fusfilter=aux.FilterBoolFunction(Card.IsSetCard,SET_INFERNOID),extrafil=s.fextra,extratg=s.extratg}
	local e4=Effect.CreateEffect(c)
	e4:SetCategory(CATEGORY_SPECIAL_SUMMON+CATEGORY_FUSION_SUMMON)
	e4:SetType(EFFECT_TYPE_IGNITION)
	e4:SetRange(LOCATION_SZONE)
	e4:SetCost(Cost.SelfToGrave)
	e4:SetTarget(Fusion.SummonEffTG(params))
	e4:SetOperation(Fusion.SummonEffOP(params))
	c:RegisterEffect(e4)
end
s.listed_series={SET_INFERNOID}
function s.lvtg(e,c)
	return c:IsSetCard(SET_INFERNOID) and c:GetOriginalLevel()>=2
end
function s.rdtg(e,c)
	return c:IsSetCard(SET_INFERNOID) and c:GetOriginalLevel()>=2
end
function s.fcheck(tp,sg,fc)
	return sg:FilterCount(Card.IsLocation,nil,LOCATION_DECK)<=6
end
function s.dmcon(tp)
	return not Duel.IsExistingMatchingCard(Card.IsSummonLocation,tp,LOCATION_MZONE,0,1,nil,LOCATION_EXTRA)
		and Duel.IsExistingMatchingCard(Card.IsSummonLocation,tp,0,LOCATION_MZONE,1,nil,LOCATION_EXTRA)
end
function s.fextra(e,tp,mg)
	if s.dmcon(tp) then
		return Duel.GetMatchingGroup(Fusion.IsMonsterFilter(Card.IsAbleToGrave),tp,LOCATION_DECK,0,nil),s.fcheck
	end
	return nil
end
function s.extratg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return true end
	Duel.SetPossibleOperationInfo(0,CATEGORY_TOGRAVE,nil,1,tp,LOCATION_DECK)
end