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hierarchical_equivalence_k-3_test2

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train · 100 rows

input stringlengths 439 442	label bool 2 classes
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	true
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false
You are asked to check for equivalence between two tuples of numbers. Let ~ be the equivalence relation defined as a ~ b if and only if a = b + 3. When a is not equivalent to b, we say a !~ b. For two tuples (a,b) and (c,d), they are equivalent, i.e., (a,b) ~ (c,d) if and only if (a ~ c) AND (b ~ d).\n\nGiven an input ...	false

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