What we disagree on is your definition of “definitive scriptural proof”
what it really comes down to: is that you don’t accept theses verses
Not so. We Catholics have no problem at all with what these actually passages say. We just disagree with your interpretation of them.
1 Cor 4:6
6Now, brothers, I have applied these things to myself and Apollos for your benefit, so that you may learn from us the meaning of the saying, "Do not go beyond what is written."
Then you will not take pride in one man over against another.Which is a very good point to make about that same interpretation which goes beyond what is written.
Luke 1:1-4:
1Many have undertaken to draw up an account of the things that have been fulfilled[a] among us, 2just as they were handed down to us by those who from the first were eyewitnesses and servants of the word. 3Therefore, since I myself have carefully investigated everything from the beginning, it seemed good also to me to write an orderly account for you,
most excellent Theophilus, **4so that you may know the certainty of the things you have been taught.**Here again, this does not say that everything that we believe and practice has to be found in the Bible. In fact…it actually is saying that the purpose of Luke’s Gospel is to affirm oral tradition.
In Matthew 4:1-11. Three times Jesus was tempted by the Devil and each time Jesus replied exactly the same three dangerous words that defeated the Devil: “IT IS WRITTEN” If any one could have used oral tradition, it was Jesus, yet he chose the only safe and sure way to defeat Satan: Scripture.
Still, this does not tell us what you claim it does. It infers much, such as that scripture is
useful for resisting temptation, which certainly agrees with 2nd Timothy 3:16, but being useful is not the same as being the only and ultimate authority, which is something that I have not found in the Word of God.
Mark 12:24
24Jesus replied, "**Are you not in error because you do not know the Scriptures **
or the power of God?We’ve already discussed that ignorance of scripture is ignorance of Christ, but this also fails to make the claim that would make your belief scriptural.
2 Timothy 3:15
15and how from infancy you have known the holy Scriptures, which are able to make you wise for salvation through faith in Christ Jesus.
Again…where does that even infer a sole and final authority to the Bible? In point of fact, St. Paul is here referring to the Old Testament, which by the same logic that you have used would eliminate the New Testament from any inspired authority. That’s just based upon your own logic and not something that either of us believe.
Yes, it can be understood by children
Rhetorical statement?
1 John 5:13
13 **I write these things **
to you who believe in the name of the Son of God **so that you may know that you have eternal life.**Does not claim the authority that you say it does. Another case of interpretation going beyond what is written?
2 Timothy 3:16-17:
16All Scripture is God-breathed and is useful
for teaching, rebuking, correcting and training in righteousness, 17so that the man of God may be thoroughly equipped for
every good work.Catholics have no problem at all with this verse. We believe that is means exactly what it says and we do not believe it means anything more. This does not claim a final and ultimate authority. Like I said before…it’s inspired and useful…
No matter how you twist it, it still says that scripture alone is all-sufficient to equip us for EVERY good work
Polemic here? We Catholics haven’t “twisted” anything, though I’m sure you wish we would so your inferred allegation might have substance.
Luke 10:26
What is written in the Law?" he replied. “How do you read it?”
Jesus expected even his enemies to correctly interpret the Bible by simply reading and studying it.
Again…this refers to the Old Testament and by your own logic would cast aside the New Testament as well as open the door for an interpretation that says we need to read and obey the law to be saved. That won’t work now, will it?
Acts 17:11-12
11Now the Bereans were of more noble character than the Thessalonians, for they received the message with great eagerness and examined the Scriptures every day to see if what Paul said was true. 12Many of the Jews believed, as did also a number of prominent Greek women and many Greek men.
Even though the apostles were inspired with genuine oral revelation, they always directed people to the scriptures for the final determination of truth
.They were talking to Jews about the Messiah. What other source would one expect them to use seeing that even Our Lord pointed out, “For many will come in my name saying, I amChrist: and they will seduce many.”

Still there is no claim of final and ultimate authority here in this passage.
Deuteronomy 4:2
Do not add to what I command you and do not subtract from it, but keep the commands of the LORD your God that I give you.

But by your own logic this verse would deny inspiration and acceptance of the New Testament (again) since it specifically refers to the law. Further (and again) this would mean that we are still to obey the law in order to be saved. I know that that is not what you believe nor are trying to say, but that is where it logically and specifically leads.
There’s more? Show me then.
Anti-Catholic website link
Read it many times and it never offers a scripture that specifically says what it claims to be Biblical doctrine.