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Using Assuming I have not made an error (apologies if I have), this reduces to False for all inputs. x1 = Nand[a, b]; x2 = Or[b, c]; x3 = And[x1, And[x1, Not[x2]]]; x4 = Nor[x1, x3]; x5 = And[x3, x4]; The truth table: TableForm[BooleanTable[{a, b, c, x5}, {a, b, c}], TableHeadings -> {None, {a, b, c, x5}}] and BooleanMinimize[x5] yields False ...

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