Can you explain what is contradictory?  I have literally explained to you that if such a person is actually Invincibly ignorant of the Faith, God can save them just as Pius IX taught by Divine Light and Grace. So where is the contradiction? In my above posts that's exactly what I have said, that non-catholics do not go to Heaven, but that these people have a rare miracle of conversion, there by becoming Catholic. Again where is the contradiction?
Nowhere is it taught? Well Pius IX and all catechisms and approved theologians past him teach it. Many before them teach the same. Your asserting the Church approved of heresy....
With all due respect it's almost as if you are not even reading my posts at all, as I have explained pretty much everything your claiming I'm not.
Pope Pius XII taught that an act of perfect charity is sufficient for salvation for adults who are not baptized, is that heresy?

Pius IX clearly taught that such a one can receive Divine light and Grace

The common opinion held by theologians is faith in the Trinity and Incarnation are necessary,

therefore it flows logically that God enlightens these people who appear to die invincibly ignorant of the Faith.

In the very next sentence he affirms that there are those struggling with Invincible Ignorance of the True Religion, he then says by divine light and grace such a person if meeting the requirements could achieve salvation. 

So basically here is where your position boils down to.
Premise 1. BOD and invincible ignorance are heresy
Since you state your first premise,  the LOGICAL conclusion of that assertment is that the Church defended, taught, and propagated heresy through basically every ecclesiastical institution.  
Conclusion. The Church can and has defected.
Dogmas are understood as the Church understands them, not you bud. You cant quote a single post-trent source that contradicts, condemns, or refutes BOD/Invincible ignorance.
It's not really me your saying is contradictory, but the Church herself.
Pope Pius XII taught that an act of perfect charity is sufficient for Unbaptized adults for salvation. Is that heresy?

Here are excerpts from some dogmas on EENS and how they are responded to (in red) by those who teach that Jews, Mohamedans, Hindus, Buddhists, any person in all false religions, can be saved by their belief in a god the rewards. Enjoy!
 
 
 Pope Eugene IV, Council of Florence, “Cantate Domino,” 1441, ex cathedra:
 
 “The Holy Roman Church firmly believes, professes and preaches that all those who are outside the Catholic Church, not only pagans but also Jews or heretics and schismatics, cannot share in eternal life and will go into the everlasting fire ..and that nobody can be saved, … even if he has shed blood in the name of Christ, unless he has persevered in the bosom and unity of the Catholic Church.” (pagans and Jews can be saved by their belief in a god that rewards, thus they are in the Church. They can’t be saved even if they shed their blood for Christ, but they can be saved by a belief in a god that rewards.)
 
 
 Pope Innocent III, Fourth Lateran Council, Constitution 1, 1215, ex cathedra: “There is indeed one universal Church of the faithful, outside of which nobody at all is saved, …(Persons in all false religions can be part of the faithful by their belief in a god that rewards)
 
 
 Pope Boniface VIII, Unam Sanctam, Nov. 18, 1302, ex cathedra:
 
 “… this Church outside of which there is no salvation nor remission of sin… Furthermore, … every human creature that they by absolute necessity for salvation are entirely subject to the Roman Pontiff.” (Persons in all false religions by their belief in a god that rewards are inside the Church, so they can have remission of sin. They do not have to be subject to the Roman Pontiff because they do not even know that they have to be baptized Catholics, why further complicate things for tem with submission to the pope?)
 
 
 
 Pope Clement V, Council of Vienne, Decree # 30, 1311-1312, ex cathedra:
 
 “… one universal Church, outside of which there is no salvation, for all of whom there is one Lord, one faith, and one baptism…” (one lord, one faith by their belief in a god that rewards, and one invisible baptism by, you guessed it,  their belief in a god that rewards)
 
 
 
Pope Eugene IV, Council of Florence, Sess. 8, Nov. 22, 1439, ex cathedra:
 
 “Whoever wishes to be saved, needs above all to hold the Catholic faith; unless each one preserves this whole and inviolate, he will without a doubt perish in eternity.” ( the Catholic faith is belief in a god that rewards)
 
 
 
 
Pope Leo X, Fifth Lateran Council, Session 11, Dec. 19, 1516, ex cathedra:
 
 “For, regulars and seculars, prelates and subjects, exempt and non-exempt, belong to the one universal Church, outside of which no one at all is saved, and they all have one Lord and one faith.” (Just pick a few from the above excuses, from here on it’s a cake walk, just create your own burger with the above ingredients. You’ll be an expert at it in no time.)
 
 
 Pope Pius IV, Council of Trent, Iniunctum nobis, Nov. 13, 1565, ex cathedra: “This true Catholic faith, outside of which no one can be saved… I now profess and truly hold…”
 
 
 Pope Benedict XIV, Nuper ad nos, March 16, 1743, Profession of Faith: “This faith of the Catholic Church, without which no one can be saved, and which of my own accord I now profess and truly hold…”
 
 
Pope Pius IX, Vatican Council I, Session 2, Profession of Faith, 1870, ex cathedra: “This true Catholic faith, outside of which none can be saved, which I now freely profess and truly hold…”
 
 
 
Council of Trent, Session VI  (Jan. 13, 1547) Decree on Justification, Chapter IV.
 
 A description is introduced of the Justification of the impious, and of the Manner thereof under the law of grace.
 By which words, a description of the Justification of the impious is indicated,-as being a translation, from that state wherein man is born a child of the first Adam, to the state of grace, and of the adoption of the sons of God, through the second Adam, Jesus Christ, our Saviour. And this translation, since the promulgation of the Gospel, cannot be effected, without the laver of regeneration, or the desire thereof, as it is written; unless a man be born again of water and the Holy Ghost, he cannot enter into the Kingdom of God (John 3:5). (this means you do not need to be baptized or have a desire to be baptized. You can be baptized invisible by desire or no desire, you can call no desire “implicit” desire, you can also receive water baptism with no desire, no, wait a minute that does not go in both directions for the water baptism, it only works for desire or if you have no desire at all. Come to think of it, just forget about all of it, persons in false religions can be justified by their belief in a god that rewards.)
 
 
 Chapter VII. What the justification of the impious is, and what are the causes thereof.
 
 This disposition, or preparation, is followed by Justification itself, which is not remission of sins merely, but also the sanctification and renewal of the inward man, through the voluntary reception of the grace, and of the gifts, whereby man of unjust becomes just, and of an enemy a friend, that so he may be an heir according to hope of life everlasting.
 
 Of this Justification the causes are these: the final cause indeed is the glory of God and of Jesus Christ, and life everlasting; while the efficient cause is a merciful God who washes and sanctifies gratuitously, signing, and anointing with the holy Spirit of promise, who is the pledge of our inheritance; but the meritorious cause is His most beloved only-begotten, our Lord Jesus Christ, who, when we were enemies, for the exceeding charity wherewith he loved us, merited Justification for us by His most holy Passion on the wood of the cross, and made satisfaction for us unto God the Father; the instrumental cause is the sacrament of baptism, which is the sacrament of faith, without which no man was ever justified;(except all persons in false religions, they can be justified by their belief in a god that rewards)
 
 
 Pope Eugene IV, The Council of Florence, “Exultate Deo,” Nov. 22, 1439, ex cathedra:  “Holy baptism, which is the gateway to the spiritual life, holds the first place among all the sacraments; through it we are made members of Christ and of the body of the Church.  And since death entered the universe through the first man, ‘unless we are born again of water and the Spirit, we cannot,’ as the Truth says, ‘enter into the kingdom of heaven’ [John 3:5].  The matter of this sacrament is real and natural water.” (Just ignore that language, all persons in false religions can be justified by their belief in a god that rewards)
 
 
 Council of Trent. Seventh Session. March, 1547. Decree on the Sacraments. On Baptism
Canon 2. If anyone shall say that real and natural water is not necessary for baptism, and on that account those words of our Lord Jesus Christ: "Unless a man be born again of water and the Holy Spirit, he cannot enter into the kingdom of God (John 3:5), are distorted into some metaphor: let him be anathema.( any persons in false religions can be invisible baptized and justified by their belief in a god that rewards)
 
 
 Canon 5. If any one saith, that baptism is optional, that is, not necessary unto salvation; let him be anathema (the pope is also speaking here of the invisible baptism of persons in false religions that are baptized and justified by their belief in a god that rewards)
 
 
 Pope Pius XII, Mystici Corporis (# 22), June 29, 1943: “Actually only those are to be numbered among the members of the Church who have received the laver of regeneration and profess the true faith.”( the laver of regeneration can be had invisible and the true faith is  belief in a god that rewards)
 
 
 Pope Pius XII, Mediator Dei (# 43), Nov. 20, 1947: “In the same way, actually that baptism is the distinctive mark of all Christians, and serves to differentiate them from those who have not been cleansed in this purifying stream and consequently are not members of Christ orders sets the priest apart from the rest of the faithful who have not received this consecration.” ( persons who believe in a god that rewards do not need the mark, but they are in the Church. Somehow)
 
 
 (Oh, I forgot invincible ignorance, no one mentions it anymore, it is now out of fashion, so I did not include it above. If you are old fashioned, just throw in a few invincible ignorants up there with the rest of the ingredients)

The docuмent is not clear (nor is it teaching doctrine formally, so it's Pius' theological opinion, not formal Church teaching), thus it is totally open to interpretation. The BODer clings to his personal interpretation and denies all the clear dogmas that say nobody can be saved, even if the shed their blood for Christ. I tell you this answers everything, people like this simple refuse to believe:


The BODer clings to his personal interpretation of unclear, fallible theological opinions and denies all the clear infallible dogmas that say nobody, nobody at all, no one at all, every human creature,   even if they shed their blood for Christ, without a doubt...

"Incredible to say, it is the sentence [that Davidmehs references] which is printed in bold letters, which is used as proof that the Doctrine of Exclusive Salvation is not a Catholic dogma, and this, when it is sandwiched between two explicit affirmations of this truth. The sentence can be used to deny the dogma only if it is lifted out of its context between these two affirmations, and deliberately misunderstood or mistranslated"....

Catechism of the Council of Trent, promulgated by the order of Pius V, written by saints,accepted universally by the Church, teaches someone can achieve salvation apart from the reception of the Sacrament of baptism, right after the Council of Trent issued its defined decrees. Conclusion....wait for it.... the Church propagated, taught, defended, and distributed FORMAL HERESY to the Church.

It's like beating a dead horse with you people.  Let's do this again. I will keep it simple.

Premise for anti BOD/Invincible ignorance
1. It is absolutely necessary,  in all cases, without exception that nobody at all is saved without the reception of the Sacrament of Baptism. This is dogma. No baptism=outside the Church, no exceptions.

Premise 2.
To deny a defined dogma is heresy, thus separating oneself from the Church.

Premise 3.
BOD/Invincible ignorance teaches that someone can achieve salvation apart from the reception of the Sacrament of Baptism.

Conclusion. BOD/Invincible ignorance are heresy.

Not that hard to follow is it?