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Title Claim Refuting Calvinism
2 Tim 2:13

The scripture says that God cannot deny himself. 2 Tim 2:13.
Refutation
Hosea 11:8

Hosea 11:8 does not support Calvinism. God is shown to not be impassible in this verse.
Refutation

Impassibility is a theological doctrine that God does not experience emotion due to the actions of people. 1 ,2

Num 13-14

Num 13-14 refutes Calvinism.

They said, We're all gonna die! 1

Israel said that God brought them out of Egypt to die in the wilderness:

And all the children of Israel murmured against Moses and against Aaron: and the whole congregation said unto them, Would God that we had died in the land of Egypt! or would God we had died in this wilderness!
Col 2:12

Col 2:12 refutes the Calvinistic claim that regeneration precedes faith.

Col 2:12 says that being risen with Christ is through faith:

Buried with him in baptism, wherein also ye are risen with him through the faith of the operation of God, who hath raised him from the dead.

Does being risen with Christ come first, and then enable one to then have saving faith? 

Or does faith come first, then through that faith one becomes risen with Christ?

This verse looks like it is through faith that one is raised with Christ, that being raised with Christ (salvation) is through faith.
Eph 2:8-9

Eph 2:8-9 does not support Calvinism. It does not teach that faith is the gift of God.

For by grace are ye saved through faith; and that not of yourselves: it is the gift of God:

Not of works, lest any man should boast. - Eph 2:8-9

This does not claim that faith is the gift of God. William Lane Craig explains this.
John 17

John 17 does not support Calvinism.

Below is part of John 17.

The issue is those whom the Father gave to Christ. Verse 2 says Jesus should give eternal life to those the Father gave him.

We will call these the given.

But, who are they?

17 These words spake Jesus, and lifted up his eyes to heaven, and said, Father, the hour is come; glorify thy Son, that thy Son also may glorify thee:

2 As thou hast given him power over all flesh, that he should give eternal life to as many as thou hast given him.
2 Pet 1:10

2 Pet 1:10 does not support Calvinism.

Per Calvinism, election cannot be changed by people; God elected people before they were born, and they themselves can not affect such election. 

However, Peter suggests differently, contradicting Calvinism's portrayal of election as being to salvation.

Wherefore the rather, brethren, give diligence to make your calling and election sure: ... - 2 Pet 1:10

This verse refutes election as being to salvation. For it tells people to try to make their own election sure.
Psalm 58:3

Psalm 58:3 does not support Calvinism.
Acts 22:14

Acts 22:14 does not support Calvinism.
2 Thess 2:13

2 Thess 2:13 does not support Calvinism.

In 2 Thess 2:13, "from the beginning" could refer to the beginning of Paul's ministry. The scripture does not say "from the beginning of creation" so to claim such is to claim something not in scripture -  not "sola scriptura." 
Eph 2:1-6

Eph 2:1-6 does not support Calvinism.
Rom 5

Rom 5 does not support Calvinism.
Ezek 36

Ezek 36 does not support Calvinism.
Matt 11:21

Matt 11:21 does not support Calvinism.
John 3:27

John 3:27 does not support Calvinism.
1 Thess 4:3

1 Thess 4:3 does not support Calvinism.

 3 For this is the will of God, your sanctification: that you should abstain from sexual immorality; 1 Thess 4:3

If the above is true, and if God's will is always done per Calvinism, then there never has been any sin of this type. History tells different, as does the Bible, which contradict Calvinism.
Prov 16:1

Prov 16:1 does not support Calvinism.
Acts 2:23

Acts 2:23 does not support Calvinism.
Acts 4:27-28

Acts 4:27-28 does not support Calvinism.
Eph 1:4

Eph 1:4 does not support Calvinism.

Eph 1:4 says 

just as He chose us in Him before the foundation of the world, that we should be holy and without blame before Him in love,