Generate a YGOPro Lua script for the following Yu-Gi-Oh card effect:
If you activate a Counter Trap Card, OR if you negate the activation of a Spell/Trap Card, or monster effect (except during the Damage Step): You can banish 2 other Fairy monsters from your hand, field and/or GY; Special Summon this card from the GY (if it was there when you activated/negated) or hand (even if not). If this card attacks a Defense Position monster, inflict piercing battle damage. When this card inflicts battle damage to your opponent: You can add 1 "Parshath" card or 1 Counter Trap from your Deck to your hand.
--天空聖騎士アークパーシアス
--Sacred Arch-Airknight Parshath
local s,id=GetID()
function s.initial_effect(c)
	--Special summon
	local e3=Effect.CreateEffect(c)
	e3:SetDescription(aux.Stringid(id,0))
	e3:SetCategory(CATEGORY_SPECIAL_SUMMON)
	e3:SetType(EFFECT_TYPE_FIELD+EFFECT_TYPE_TRIGGER_O)
	e3:SetRange(LOCATION_HAND|LOCATION_GRAVE)
	e3:SetCode(EVENT_CHAINING)
	e3:SetProperty(EFFECT_FLAG_DELAY)
	e3:SetCondition(s.spcon1)
	e3:SetCost(s.spcost)
	e3:SetTarget(s.sptg)
	e3:SetOperation(s.spop)
	c:RegisterEffect(e3)
	local e4=e3:Clone()
	e4:SetCode(EVENT_CHAIN_NEGATED)
	e4:SetCondition(s.spcon2)
	c:RegisterEffect(e4)
	--pierce
	local e3=Effect.CreateEffect(c)
	e3:SetType(EFFECT_TYPE_SINGLE)
	e3:SetCode(EFFECT_PIERCE)
	c:RegisterEffect(e3)
	--search
	local e4=Effect.CreateEffect(c)
	e4:SetDescription(aux.Stringid(id,1))
	e4:SetCategory(CATEGORY_TOHAND+CATEGORY_SEARCH)
	e4:SetType(EFFECT_TYPE_SINGLE+EFFECT_TYPE_TRIGGER_O)
	e4:SetCode(EVENT_BATTLE_DAMAGE)
	e4:SetCondition(s.thcon)
	e4:SetTarget(s.thtg)
	e4:SetOperation(s.thop)
	c:RegisterEffect(e4)
end
s.listed_series={SET_PARSHATH}
function s.spcon1(e,tp,eg,ep,ev,re,r,rp)
	return rp==tp and re:IsHasType(EFFECT_TYPE_ACTIVATE) and re:IsActiveType(TYPE_COUNTER)
end
function s.spcon2(e,tp,eg,ep,ev,re,r,rp)
	local dp=Duel.GetChainInfo(ev,CHAININFO_DISABLE_PLAYER)
	return dp==tp and (re:IsMonsterEffect() or re:IsHasType(EFFECT_TYPE_ACTIVATE))
end
function s.cfilter(c)
	return c:IsRace(RACE_FAIRY) and c:IsAbleToRemoveAsCost() and (c:IsLocation(LOCATION_HAND) or aux.SpElimFilter(c,true,true))
end
function s.mzfilter(c)
	return c:IsLocation(LOCATION_MZONE) and c:GetSequence()<5
end
function s.spcost(e,tp,eg,ep,ev,re,r,rp,chk)
	local c=e:GetHandler()
	local rg=Duel.GetMatchingGroup(s.cfilter,tp,LOCATION_HAND|LOCATION_MZONE|LOCATION_GRAVE,0,c)
	local ft=Duel.GetLocationCount(tp,LOCATION_MZONE)
	local ct=-ft+1
	if chk==0 then return ft>-2 and #rg>1 and (ft>0 or rg:IsExists(s.mzfilter,ct,nil)) end
	local g=nil
	if ft>0 then
		Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_REMOVE)
		g=rg:Select(tp,2,2,nil)
	elseif ft==0 then
		Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_REMOVE)
		g=rg:FilterSelect(tp,s.mzfilter,1,1,nil)
		Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_REMOVE)
		local g2=rg:Select(tp,1,1,g:GetFirst())
		g:Merge(g2)
	else
		Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_REMOVE)
		g=rg:FilterSelect(tp,s.mzfilter,2,2,nil)
	end
	Duel.Remove(g,POS_FACEUP,REASON_COST)
end
function s.sptg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return e:GetHandler():IsCanBeSpecialSummoned(e,0,tp,false,false) end
	Duel.SetOperationInfo(0,CATEGORY_SPECIAL_SUMMON,e:GetHandler(),1,0,0)
end
function s.spop(e,tp,eg,ep,ev,re,r,rp)
	local c=e:GetHandler()
	if c:IsRelateToEffect(e) then
		Duel.SpecialSummon(c,0,tp,tp,false,false,POS_FACEUP)
	end
end
function s.thcon(e,tp,eg,ep,ev,re,r,rp)
	return ep==1-tp
end
function s.thfilter(c)
	return (c:IsSetCard(SET_PARSHATH) or c:IsType(TYPE_COUNTER)) and c:IsAbleToHand()
end
function s.thtg(e,tp,eg,ep,ev,re,r,rp,chk)
	if chk==0 then return Duel.IsExistingMatchingCard(s.thfilter,tp,LOCATION_DECK,0,1,nil) end
	Duel.SetOperationInfo(0,CATEGORY_TOHAND,nil,1,tp,LOCATION_DECK)
end
function s.thop(e,tp,eg,ep,ev,re,r,rp)
	Duel.Hint(HINT_SELECTMSG,tp,HINTMSG_ATOHAND)
	local g=Duel.SelectMatchingCard(tp,s.thfilter,tp,LOCATION_DECK,0,1,1,nil)
	if #g>0 then
		Duel.SendtoHand(g,nil,REASON_EFFECT)
		Duel.ConfirmCards(1-tp,g)
	end
end