Excel 2010 :: Counting Cells With Multiple Criteria On Multiple Sheets In Workbook

I am using MS Office 2010. I want to count---on multiple sheets---the number of times that a given cell is greater than another cell if and only if a third cell is equal to a given value. I want to do this for 4 sets of data on each sheet. I thought I had it figured out with this formula---

=SUMPRODUCT(COUNTIF(INDIRECT("'"&$H$1:$H$43&"'!$R1"),2*(AND("'"&$H$1:$H$43&"'!$E1">"'"&$H$1:$H$43&"'!$F1"))))+SUMPRODUCT(COUNTIF(INDIRECT("'"&$H$1:$H$43&"'!$S1"),2*(AND("'"&$H$1:$H$43&"'!$G1">"'"&$H$1:$H$43&"'!$H1"))))+SUMPRODUCT(COUNTIF(INDIRECT("'"&$H$1:$H$43&"'!$T1"),2*(AND("'"&$H$1:$H$43&"'!$I1">"'"&$H$1:$H$43&"'!$J1"))))+SUMPRODUCT(COUNTIF(INDIRECT("'"&$H$1:$H$43&"'!$U1"),2*(AND("'"&$H$1:$H$43&"'!$K1">"'"&$H$1:$H$43&"'!$L1"))))

but it returns a value of zero each time. Clearly there is an error in the formula.

Here is some background:
-- $H$1:$H$43 is a block of cells that has the names of the sheets in the workbook
-- E1 and F1, G1 and H1, I1 and J1, K1 and L1 are the four groups of cells that I am comparing.
In the entire workbook, I want to add 1 (counting function) only when:
R1=2 AND E1>F1 or
S1=2 AND G1>H1 or
T1=2 AND I1>J1
U1=2 and K1>L1
on each appropriate sheet in the workbook.