Computer malware? Non-responsive and Lock-up

I am having issues with my computer, possibly malware.

System information:

OS Name Microsoft Windows 7 Home Premium

Version 6.1.7601 Service Pack 1 Build 7601

Other OS Description Not Available

OS Manufacturer Microsoft Corporation

System Name

System Manufacturer Hewlett-Packard

System Model HP Pavilion dm4 Notebook PC

System Type x64-based PC

Processor Intel® Core i5-2410M CPU @ 2.30GHz, 2301 Mhz, 2 Core(s), 4 Logical Processor(s)

BIOS Version/Date Hewlett-Packard F.17, 1/25/2013

SMBIOS Version 2.7

Windows Directory C:\Windows

System Directory C:\Windows\system32

Boot Device \Device\HarddiskVolume1

Locale United States

Hardware Abstraction Layer Version = "6.1.7601.17514"

User Name

Time Zone Eastern Standard Time

Installed Physical Memory (RAM) 6.00 GB

Total Physical Memory 5.95 GB

Available Physical Memory 3.64 GB

Total Virtual Memory 11.9 GB

Available Virtual Memory 9.64 GB

Page File Space 5.95 GB

Page File C:\pagefile.sys

The computer hardware appears to be alright, at first I thought it was just nonresponsive due to the computer overheating, but I have already fixed the fan and problems are still occurring. Now I have ran MRT and nothing comes up, as well as malwarebytes. Still nothing.

When I turn the computer on -- it works great for a few minutes and then it begins to lock up, but the mouse will still move. The screen then starts saying "not responding" but it will eventually kick back to normal for a second. If I am typing, I can get 3 or 4 words in and the computer locks up (then unlocks) and it repeats this until I just decide to stop doing anything on the computer.

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