50 rebirth
500 max in the character window
1 smash every 4 second (even though the cooldown is 3 we'll use 4)
Full stats r1 for the paladin and DK
DK will get the lowest STR roll
Damage is always absolute maximum
Critical hits will be ignored
Calculations
DK max attack gained from trans:48
Paladin Max attack gained from trans:134
DK and Paladin last 6 minutes
Smashes per timed transed = 6*60/4 = 90 Smahes.
Total damage done in trans DK 5*90*548 = 246600
Total damage done in trans Paladin 5*90*634=285300
Total damage done out of trans for a paladin in 6 minute 5*90*500= 225000
At this point the paladin loses his/her trans and drops down to 500 max while the DK stays at 548. From here we shall extropolate a linear curve of damage per second and start each curve at the point trans was lost.
The DK damage per 6 minutes stays the same so lets divide it by second to get DPS of the DK
DK DPS = 246600/360 = 685 Damage per second
Pally non trans DPS = 625 Damage persecond
Not we have two curves the DK curve 385x+246600 and the Pally curve 625x+225000. Lets set the two equations equal and find the intersect.
x=655 seconds or 10 minute and 55 seconds.
Calculations With Crit
Maximum crit damage done for transed DK = 246600 *2.5=616500
Maximum crit damage done for Transed Pally = 285300*2.5=713250
Average damage done in trans for DK = .7*noncrit+.3*crit = 357570
Average damage done in trans for a paladin = .7*noncrit+.3*crit = 413685
Maximum crit damage for untransed Pally = .7*noncrit+.3*crit = 562500
Average DPS in trans DK = 357570/360 = 993.25 Damage per second
Average DPS out of trans for Pally = (.7*noncrit+.3*crit)/360 = 906.25 Damage per second
Time it takes for a DK to deal more damage is 644.69 seconds or 10 minutes and 44.69 seconds.
Calculations with Titles
[Image: http://puu.sh/1Y07c]
Conclusion
Eventually even on a low strength roll if a DK stays in disarm long enough they will out DPS the paladin. Since these calculations were done without figuring crit it could go 2 ways, 1 the pally can crit 30% of the time in which case the gap is further widened. Or in the second case where the pally can't crit but the DK can due to the crit boost where the gap will be shortened.
Another factor not counted in these numbers was combos, warriors can easily achieve a higher DPS by chaining skills and not just using smash. With this happening the gap will widen even more between a low rolled DK and a paladin.
Another thing to remember is that you don't always roll low, if this were done with a medium roll DK instead of a low roll DK the time would be drastically shorter.
Please if any of the math is wrong or you'd like me to add variables like critical hits and actual combos just give me the heads up and I will go and do it.