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God's sovereignty
Claim:

God ordains sins, crimes, etc.

Refuting Calvinism:

TBA (to be added)

Total depravity
Claim:

Humans are totally depraved and as a result, cannot receive salvation, & cannot choose to receive salvation.

Refuting Calvinism:
Irresistible grace
Claim:

One cannot resist / reject salvation.

Refuting Calvinism:

TBA (to be added)

God's will
Claim:

God's (decretive) will is always done. 

Refuting Calvinism:

Acts 7:51
Ye stiffnecked and uncircumcised in heart and ears, ye do always resist the Holy Ghost: as your fathers did, so do ye.

1 Thessalonians 4:3
For this is the will of God, even your sanctification, that ye should abstain from fornication:

This is not a command, it rather is a statement of what the will of God is. Was this will of God accomplished in Thessalonica? It seems it was not in Corinth.

God's glory
Claim:

God seeks his own glory.

Refuting Calvinism:

God is love. 1 John 4:8.

Love seeks not her own. 1 Cor. 13:5.

[Charity] Doth not behave itself unseemly, seeketh not her own, is not easily provoked, thinketh no evil;

Therefore, god does not seek his own.

However, Calvinism posits the opposite:

... The primary, or “supreme and ultimate” end of Christ's death is the glory of God. The glory of God stands at the center in Reformed theology. ...

God's pleasure
Claim:

All that God does is for his pleasure.

Refuting Calvinism:

Proof by contradiction, of the invalidity of the claim

Rom 15:3 says Christ, who is God, pleased not himself.

If the claim is true, we have a contradiction.

Therefore the claim is not true.