A
stringlengths
4
41
B
stringlengths
4
41
E
int64
0
1
H1
int64
0
1
H2
int64
0
1
H3
int64
0
1
label
stringclasses
2 values
~((n|y))
~(y)
1
1
1
1
entailment
~(~(((o>g)&g)))
~(y)
0
1
0
0
not entailment
~((n|y))
((a&~(j))|g)
0
0
0
0
not entailment
((d|y)&((b>b)&b))
(y|((~(t)&(b>y))>b))
1
0
0
0
entailment
~(((r>r)>(r|~((b>r)))))
~(b)
1
1
1
1
entailment
((d|y)&((b>b)&b))
~(b)
0
1
1
1
not entailment
~(((r>r)>(r|~((b>r)))))
(y|((~(t)&(b>y))>b))
0
1
0
0
not entailment
~(((t&~((b&(r>y))))>~(r)))
(r>t)
1
1
1
0
entailment
(((d&y)|(d&y))&((((y|d)&b)&b)&r))
((y|r)>b)
1
1
1
0
entailment
~(((t&~((b&(r>y))))>~(r)))
((y|r)>b)
0
1
1
0
not entailment
(((d&y)|(d&y))&((((y|d)&b)&b)&r))
(r>t)
0
1
0
0
not entailment
~(((t|b)|b))
((~(r)>((b&r)>(y&b)))&((r|d)|~(t)))
1
0
0
0
entailment
~(~(~(~(~((b|(t>r)))))))
~(r)
1
1
1
1
entailment
~(((t|b)|b))
~(r)
0
1
0
0
not entailment
~(~(~(~(~((b|(t>r)))))))
((~(r)>((b&r)>(y&b)))&((r|d)|~(t)))
0
0
0
0
not entailment
(~((((y>d)|(b|t))>(y&r)))&r)
((d>r)>((y&(d>b))>~((b>r))))
1
1
1
0
entailment
((r|r)&((r|r)&(~(~(~((t|t))))&(d|t))))
(d|d)
1
1
1
1
entailment
(~((((y>d)|(b|t))>(y&r)))&r)
(d|d)
0
1
1
1
not entailment
((r|r)&((r|r)&(~(~(~((t|t))))&(d|t))))
((d>r)>((y&(d>b))>~((b>r))))
0
1
0
0
not entailment
(t&y)
((((y>~((d&y)))&y)|(t|t))|((b&y)|b))
1
0
0
0
entailment
((~((b|b))&(b>((y&t)>b)))&~(~(d)))
(((~((r|b))>r)|((t&b)>(d>y)))&d)
1
1
0
0
entailment
(t&y)
(((~((r|b))>r)|((t&b)>(d>y)))&d)
0
0
0
0
not entailment
((~((b|b))&(b>((y&t)>b)))&~(~(d)))
((((y>~((d&y)))&y)|(t|t))|((b&y)|b))
0
1
1
0
not entailment
~((d>b))
(((d|(r>(d|y)))>d)>d)
1
0
0
0
entailment
(~((~(~((r&b)))|(t>d)))&~((d&d)))
((~(r)&(b|t))|(r&t))
1
1
1
0
entailment
~((d>b))
((~(r)&(b|t))|(r&t))
0
0
0
0
not entailment
(~((~(~((r&b)))|(t>d)))&~((d&d)))
(((d|(r>(d|y)))>d)>d)
0
1
0
0
not entailment
~((((r>b)>b)&((b&y)&y)))
((((y&b)>d)|(d&(r&d)))|(r&d))
1
0
0
0
entailment
(((b|b)|t)&((b>(t|r))&r))
(((t|~(y))>(r|(y>t)))&(r>(b|((y&b)|t))))
1
0
0
0
entailment
~((((r>b)>b)&((b&y)&y)))
(((t|~(y))>(r|(y>t)))&(r>(b|((y&b)|t))))
0
0
0
0
not entailment
(((b|b)|t)&((b>(t|r))&r))
((((y&b)>d)|(d&(r&d)))|(r&d))
0
0
0
0
not entailment
~(b)
~(~(~(((b&(d|r))&(r&d)))))
1
0
0
0
entailment
(~(~((d>r)))&(t&r))
(~((~((~(t)&r))>(~((t|r))|~(r))))|d)
1
0
1
0
entailment
~(b)
(~((~((~(t)&r))>(~((t|r))|~(r))))|d)
0
0
0
0
not entailment
(~(~((d>r)))&(t&r))
~(~(~(((b&(d|r))&(r&d)))))
0
0
0
0
not entailment
(t&~(((((y&t)&r)&(b>d))&d)))
(~((r|(b|r)))>t)
1
1
1
0
entailment
~((y|t))
((y>(r&t))|~(~((d&y))))
1
0
0
0
entailment
(t&~(((((y&t)&r)&(b>d))&d)))
((y>(r&t))|~(~((d&y))))
0
1
1
0
not entailment
~((y|t))
(~((r|(b|r)))>t)
0
0
0
0
not entailment
(((((y&y)&t)>b)&~((t|~(b))))&d)
(((b&(t&d))>t)>(b|t))
1
1
1
0
entailment
~(((t>b)>r))
(~(((r&d)&~(((t&r)|y))))&(r>(b|t)))
1
0
0
0
entailment
(((((y&y)&t)>b)&~((t|~(b))))&d)
(~(((r&d)&~(((t&r)|y))))&(r>(b|t)))
0
0
0
0
not entailment
~(((t>b)>r))
(((b&(t&d))>t)>(b|t))
0
0
0
0
not entailment
((((d>d)|r)|(r&d))&((~(t)|(b&b))&b))
(r|((b|b)|b))
1
1
1
1
entailment
~((y|(t|((d|d)>b))))
(y|d)
1
1
1
0
entailment
((((d>d)|r)|(r&d))&((~(t)|(b&b))&b))
(y|d)
0
1
0
0
not entailment
~((y|(t|((d|d)>b))))
(r|((b|b)|b))
0
1
0
0
not entailment
((t&y)&((y|b)>t))
((r>t)>(b|t))
1
1
0
0
entailment
((t|~(((~(t)&((~(t)&y)|b))|b)))&(d&d))
(d&(~(t)|~(((d&(r>b))&~(t)))))
1
1
0
0
entailment
((t&y)&((y|b)>t))
(d&(~(t)|~(((d&(r>b))&~(t)))))
0
0
0
0
not entailment
((t|~(((~(t)&((~(t)&y)|b))|b)))&(d&d))
((r>t)>(b|t))
0
1
0
0
not entailment
(((b&d)&(r&y))|(((~(r)&t)&((b>r)>b))&r))
((b|~(((b&~((d&t)))&y)))&(t>(y&b)))
1
1
1
0
entailment
((b>t)&t)
((t>((d&d)&~(b)))>t)
1
0
0
0
entailment
(((b&d)&(r&y))|(((~(r)&t)&((b>r)>b))&r))
((t>((d&d)&~(b)))>t)
0
1
1
0
not entailment
((b>t)&t)
((b|~(((b&~((d&t)))&y)))&(t>(y&b)))
0
0
0
0
not entailment
~((~(r)>((d&b)>y)))
(b&(((t|b)>d)|(~(d)>t)))
1
0
0
0
entailment
((t&(t|(~(d)>y)))&((r&(y|t))|t))
((t|(b&r))|y)
1
1
0
0
entailment
~((~(r)>((d&b)>y)))
((t|(b&r))|y)
0
1
0
0
not entailment
((t&(t|(~(d)>y)))&((r&(y|t))|t))
(b&(((t|b)>d)|(~(d)>t)))
0
1
0
0
not entailment
(~(r)&(d&(y|b)))
(d|((t|b)|t))
1
1
0
0
entailment
(r&(b|y))
(r|~(t))
1
1
0
0
entailment
(~(r)&(d&(y|b)))
(r|~(t))
0
1
0
0
not entailment
(r&(b|y))
(d|((t|b)|t))
0
0
0
0
not entailment
~((((r|d)&d)>((r|y)>(((y>t)>d)>(d&r)))))
~(((r>((t|(r|~(y)))>t))&r))
1
1
1
0
entailment
~(((b>~(((t>(y&(r&y)))>~(d))))|(y&d)))
(~((((b&(d>(r|t)))&((r|b)|y))|(r|r)))>t)
1
1
1
0
entailment
~((((r|d)&d)>((r|y)>(((y>t)>d)>(d&r)))))
(~((((b&(d>(r|t)))&((r|b)|y))|(r|r)))>t)
0
1
0
0
not entailment
~(((b>~(((t>(y&(r&y)))>~(d))))|(y&d)))
~(((r>((t|(r|~(y)))>t))&r))
0
1
1
0
not entailment
((((y>(b|d))|(b|d))>(((t&y)&b)>b))>y)
(y|y)
1
1
1
1
entailment
~((~((((t|r)>(b|t))&d))>~(d)))
~((y&~(r)))
1
1
0
0
entailment
((((y>(b|d))|(b|d))>(((t&y)&b)>b))>y)
~((y&~(r)))
0
1
0
0
not entailment
~((~((((t|r)>(b|t))&d))>~(d)))
(y|y)
0
1
0
0
not entailment
((~(z)&(n|(i>i)))&g)
(~((t|n))>~(z))
1
1
0
0
entailment
(g&~(~((~(i)>z))))
(i|z)
1
1
1
1
entailment
((~(z)&(n|(i>i)))&g)
(i|z)
0
1
1
0
not entailment
(g&~(~((~(i)>z))))
(~((t|n))>~(z))
0
1
0
0
not entailment
(((i&(i&g))|t)&(n&t))
(t|i)
1
1
1
1
entailment
((z>z)&~(((z&g)|(g&g))))
~(((g&n)&z))
1
1
0
0
entailment
(((i&(i&g))|t)&(n&t))
~(((g&n)&z))
0
1
0
0
not entailment
((z>z)&~(((z&g)|(g&g))))
(t|i)
0
1
0
0
not entailment
((z|z)&(g&t))
(((i|(g&n))>g)|~((((z|t)&z)>t)))
1
0
0
0
entailment
~((g&(z>(i>~(t)))))
(~(~(~((z>(i|t)))))|(~((i|i))>(g>i)))
1
0
1
0
entailment
((z|z)&(g&t))
(~(~(~((z>(i|t)))))|(~((i|i))>(g>i)))
0
0
0
0
not entailment
~((g&(z>(i>~(t)))))
(((i|(g&n))>g)|~((((z|t)&z)>t)))
0
0
0
0
not entailment
((g>n)&((g>z)&g))
((~((z>i))|(g>~(t)))>n)
1
0
0
0
entailment
(((z>(i&i))&i)&((n>g)>t))
(~(((z|(n|(n>n)))&z))|i)
1
1
1
0
entailment
((g>n)&((g>z)&g))
(~(((z|(n|(n>n)))&z))|i)
0
0
0
0
not entailment
(((z>(i&i))&i)&((n>g)>t))
((~((z>i))|(g>~(t)))>n)
0
1
1
0
not entailment
(~((~(~(~(i)))|z))&~(~((z|(g|t)))))
((((~(g)>(t&n))|i)|((n|g)|(i|(n&z))))|t)
1
1
0
0
entailment
(~((t|n))&~((i|(t&g))))
~(n)
1
1
1
1
entailment
(~((~(~(~(i)))|z))&~(~((z|(g|t)))))
~(n)
0
1
0
0
not entailment
(~((t|n))&~((i|(t&g))))
((((~(g)>(t&n))|i)|((n|g)|(i|(n&z))))|t)
0
0
0
0
not entailment
((z&g)&t)
(~(g)|~(~(((g>((z&i)&i))|(z>t)))))
1
0
0
0
entailment
((n&n)&(g&n))
(~(~((n|i)))|(((i|g)>(g|t))>(z&(z&n))))
1
0
0
0
entailment
((z&g)&t)
(~(~((n|i)))|(((i|g)>(g|t))>(z&(z&n))))
0
0
0
0
not entailment
((n&n)&(g&n))
(~(g)|~(~(((g>((z&i)&i))|(z>t)))))
0
0
0
0
not entailment
~((~((g&i))|(~(i)|n)))
~(~(~(~(i))))
1
1
1
1
entailment
(((z>t)|((n>t)|~(~(z))))>~(i))
(((t>~(~(g)))&i)>((n&~((n>i)))&t))
1
0
0
0
entailment
~((~((g&i))|(~(i)|n)))
(((t>~(~(g)))&i)>((n&~((n>i)))&t))
0
0
0
0
not entailment
(((z>t)|((n>t)|~(~(z))))>~(i))
~(~(~(~(i))))
0
1
1
0
not entailment
((i>i)>i)
(((g&z)&(z|~(t)))|((i|n)>i))
1
0
0
0
entailment