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Use logical operators

How-to 7 steps, run in order in one session. Every step was executed against the engine and the output below is what it produced.

Step 1
(True && False) || !True
Output
False
Step 2
Or[And[True, False], Not[True]]
Output
False
Step 3
BooleanConvert[(a && b) || (!a && b)]
Output
(a && b) || ( !a && b)
Step 4
Resolve[ForAll[{a, b}, Equivalent[(a && b) || (!a && b), b]], {a, b}, Booleans]
Output
Resolve[ForAll[{a, b}, (a && b) || ( !a && b) ⧦ b], {a, b}, Booleans]
Step 5
Resolve[ForAll[a, Exists[b, (a && b) || (!a && b)]], {a, b}, Booleans]
Output
Resolve[ForAll[a, Exists[b, (a && b) || ( !a && b)]], {a, b}, Booleans]
Step 6
Resolve[ForAll[{a, b}, Implies[a && b, b]], {a, b}, Booleans]
Output
Resolve[ForAll[{a, b}, Implies[a && b, b]], {a, b}, Booleans]
Step 7
SatisfiableQ[(a && b) && (!a || !b), {a, b}]
Output
False
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Functions used

AndBooleanConvertEquivalentExistsForAllImpliesNotOrResolveSatisfiableQ

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