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 |
---|---|---|---|---|---|---|
((c&r)&(~((c&y))|(~(r)&(r>r))))
|
(((y|(r>r))|((c|y)>y))&~((y&~(r))))
| 1 | 0 | 1 | 0 |
entailment
|
(((~((r|r))>~((y|c)))>(c>(y>y)))>(y&c))
|
(((y|(r>r))|((c|y)>y))&~((y&~(r))))
| 0 | 1 | 1 | 0 |
not entailment
|
((c&r)&(~((c&y))|(~(r)&(r>r))))
|
((y|r)&(((c&((c>y)|r))|((y>c)&y))&y))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((r|y)|r)>(y>~(~(~(c))))))
|
~(~(((c|y)&((y|r)&c))))
| 1 | 1 | 1 | 1 |
entailment
|
~((~((((r>r)>y)|(y&y)))|(r>((y&c)&c))))
|
((~(r)|((c&c)>((r&c)&c)))&r)
| 1 | 1 | 1 | 0 |
entailment
|
~((((r|y)|r)>(y>~(~(~(c))))))
|
((~(r)|((c&c)>((r&c)&c)))&r)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((((r>r)>y)|(y&y)))|(r>((y&c)&c))))
|
~(~(((c|y)&((y|r)&c))))
| 0 | 1 | 1 | 0 |
not entailment
|
(y&r)
|
(y&(~((r|c))|(y>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(c&(c>c))
|
((c|((~(y)>r)&y))&(c&(((r|c)|c)>(c|r))))
| 1 | 0 | 0 | 0 |
entailment
|
(y&r)
|
((c|((~(y)>r)&y))&(c&(((r|c)|c)>(c|r))))
| 0 | 0 | 0 | 0 |
not entailment
|
(c&(c>c))
|
(y&(~((r|c))|(y>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((c&r)&y)&(c&(r>(c>r))))&r)
|
((y|r)|~((y>(c>c))))
| 1 | 1 | 1 | 1 |
entailment
|
~((c|r))
|
~((~(~((~(c)|(~(r)>(c|r)))))&c))
| 1 | 0 | 1 | 0 |
entailment
|
((((c&r)&y)&(c&(r>(c>r))))&r)
|
~((~(~((~(c)|(~(r)>(c|r)))))&c))
| 0 | 0 | 1 | 1 |
not entailment
|
~((c|r))
|
((y|r)|~((y>(c>c))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((t&t)>t)>f)
|
(((t|t)&(f>(f>f)))>f)
| 1 | 0 | 1 | 0 |
entailment
|
~((((f|t)|(t&f))>~((t|(f>t)))))
|
((t|(t>f))&(t|(t&t)))
| 1 | 1 | 1 | 0 |
entailment
|
(((t&t)>t)>f)
|
((t|(t>f))&(t|(t&t)))
| 0 | 0 | 1 | 1 |
not entailment
|
~((((f|t)|(t&f))>~((t|(f>t)))))
|
(((t|t)&(f>(f>f)))>f)
| 0 | 1 | 1 | 0 |
not entailment
|
(f|f)
|
((f>~((f&(t|~(f)))))>(f|(f&(f|t))))
| 1 | 0 | 0 | 0 |
entailment
|
((t&t)|t)
|
((f&t)|t)
| 1 | 1 | 0 | 0 |
entailment
|
(f|f)
|
((f&t)|t)
| 0 | 0 | 0 | 0 |
not entailment
|
((t&t)|t)
|
((f>~((f&(t|~(f)))))>(f|(f&(f|t))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(t)|t)&(f&(((t&f)>f)|f)))
|
(t>(((t|t)&f)&(~((~((t|f))>(t|f)))|t)))
| 1 | 0 | 1 | 1 |
entailment
|
(((t|(t|t))|(f&t))&((t|t)&t))
|
~(~((t&t)))
| 1 | 1 | 1 | 1 |
entailment
|
((~(t)|t)&(f&(((t&f)>f)|f)))
|
~(~((t&t)))
| 0 | 1 | 1 | 1 |
not entailment
|
(((t|(t|t))|(f&t))&((t|t)&t))
|
(t>(((t|t)&f)&(~((~((t|f))>(t|f)))|t)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((f&t)>(f&t))>((t&f)&(t&t)))
|
(((~(((t>f)&f))>t)|t)|(f&((f&f)&~(f))))
| 1 | 0 | 1 | 1 |
entailment
|
(((t>t)>~((f&t)))&~((f|(f|t))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
(((f&t)>(f&t))>((t&f)&(t&t)))
|
~(f)
| 0 | 1 | 1 | 1 |
not entailment
|
(((t>t)>~((f&t)))&~((f|(f|t))))
|
(((~(((t>f)&f))>t)|t)|(f&((f&f)&~(f))))
| 0 | 0 | 1 | 0 |
not entailment
|
(t&f)
|
(((((f&t)|f)|(t&(t|(f|f))))>f)&(t|f))
| 1 | 0 | 1 | 0 |
entailment
|
~(((t>~(t))|(f|f)))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
(t&f)
|
~(f)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((t>~(t))|(f|f)))
|
(((((f&t)|f)|(t&(t|(f|f))))>f)&(t|f))
| 0 | 0 | 1 | 0 |
not entailment
|
(((~(~((s|d)))&g)&((s&w)&b))&(f>(d>l)))
|
(((l>d)&w)|(f|(w|g)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((w>(~(w)&(w&(g>b))))>s))
|
(((b&(((l>~(g))>d)|(b&d)))&(s>d))|(w>f))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(~((s|d)))&g)&((s&w)&b))&(f>(d>l)))
|
(((b&(((l>~(g))>d)|(b&d)))&(s>d))|(w>f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((w>(~(w)&(w&(g>b))))>s))
|
(((l>d)&w)|(f|(w|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
((w|~(~((s|(d>~(w))))))&(w>~((g|w))))
|
((l|(s>b))|(d>(((d>w)&d)>f)))
| 1 | 1 | 0 | 0 |
entailment
|
((g&w)&(((l>b)|(w>l))|l))
|
((w|~(~(d)))|(w|((l>(w&d))>(l|g))))
| 1 | 0 | 0 | 0 |
entailment
|
((w|~(~((s|(d>~(w))))))&(w>~((g|w))))
|
((w|~(~(d)))|(w|((l>(w&d))>(l|g))))
| 0 | 1 | 0 | 0 |
not entailment
|
((g&w)&(((l>b)|(w>l))|l))
|
((l|(s>b))|(d>(((d>w)&d)>f)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(~((l|f)))>(g>d)))
|
((d>w)|((f>b)&(l|(g>g))))
| 1 | 1 | 0 | 0 |
entailment
|
~((g>(s&w)))
|
((b&s)>~((w&b)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(~((l|f)))>(g>d)))
|
((b&s)>~((w&b)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((g>(s&w)))
|
((d>w)|((f>b)&(l|(g>g))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((w>g)&f)>((g&d)>l))&((s&(w&(w&l)))&l))
|
((s|(l>g))|g)
| 1 | 1 | 1 | 0 |
entailment
|
~(((s|f)>(f>((f>w)|s))))
|
((f>l)>((f&w)>(d|d)))
| 1 | 1 | 0 | 0 |
entailment
|
((((w>g)&f)>((g&d)>l))&((s&(w&(w&l)))&l))
|
((f>l)>((f&w)>(d|d)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((s|f)>(f>((f>w)|s))))
|
((s|(l>g))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(b>(w&g))
|
(((l|g)|s)>(g|(~((d>(b>w)))>~(d))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(f)|~(b)))
|
(b|(((d|g)>s)>((s|~(b))>((l&g)&f))))
| 1 | 0 | 0 | 0 |
entailment
|
(b>(w&g))
|
(b|(((d|g)>s)>((s|~(b))>((l&g)&f))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(f)|~(b)))
|
(((l|g)|s)>(g|(~((d>(b>w)))>~(d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(f)
|
~((((s&l)&f)&s))
| 1 | 0 | 0 | 0 |
entailment
|
(~((s>((b>w)&(f>b))))&d)
|
(((w&b)|(g&w))|(g>((s&w)|((s>w)>b))))
| 1 | 0 | 0 | 0 |
entailment
|
~(f)
|
(((w&b)|(g&w))|(g>((s&w)|((s>w)>b))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((s>((b>w)&(f>b))))&d)
|
~((((s&l)&f)&s))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(s)>(g|(((d>d)&~(w))|~(f)))))
|
((s&~(d))>((~(~((g|l)))|l)|(f|g)))
| 1 | 1 | 0 | 0 |
entailment
|
(((g>l)>b)&(~((~(l)|(g>g)))>~(g)))
|
((d>b)|((~(b)|~(~(~(w))))>(g|~(f))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(s)>(g|(((d>d)&~(w))|~(f)))))
|
((d>b)|((~(b)|~(~(~(w))))>(g|~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((g>l)>b)&(~((~(l)|(g>g)))>~(g)))
|
((s&~(d))>((~(~((g|l)))|l)|(f|g)))
| 0 | 1 | 0 | 0 |
not entailment
|
((f>l)&b)
|
((~(~(g))>(f|w))|b)
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(~(((s>d)>(~((b|g))|w))))))
|
((d&(~(w)&f))>~((((s&g)>w)>w)))
| 1 | 1 | 0 | 0 |
entailment
|
((f>l)&b)
|
((d&(~(w)&f))>~((((s&g)>w)>w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(~(~(((s>d)>(~((b|g))|w))))))
|
((~(~(g))>(f|w))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((d>(~(~(f))>b))&~((l|g)))
|
(~(((b>s)>(((w|w)|(d|(g&d)))|~(g))))>w)
| 1 | 0 | 0 | 0 |
entailment
|
(((g|d)&(~(g)>w))&b)
|
(w|((w>(l>(g|d)))&((f>~(l))>g)))
| 1 | 0 | 0 | 0 |
entailment
|
((d>(~(~(f))>b))&~((l|g)))
|
(w|((w>(l>(g|d)))&((f>~(l))>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((g|d)&(~(g)>w))&b)
|
(~(((b>s)>(((w|w)|(d|(g&d)))|~(g))))>w)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(w)&~((l>(w&((g>w)>~(d))))))
|
((((w|d)>f)>d)>l)
| 1 | 1 | 0 | 0 |
entailment
|
(((f>s)|((s>f)>b))&w)
|
(w|s)
| 1 | 1 | 1 | 1 |
entailment
|
(~(w)&~((l>(w&((g>w)>~(d))))))
|
(w|s)
| 0 | 1 | 0 | 0 |
not entailment
|
(((f>s)|((s>f)>b))&w)
|
((((w|d)>f)>d)>l)
| 0 | 1 | 0 | 0 |
not entailment
|
((s&d)&l)
|
(w>(l&(f|~(((s>s)&f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(d>(f&(g&f)))
|
((d>f)|((s&w)|(((s>b)|w)&s)))
| 1 | 0 | 0 | 0 |
entailment
|
((s&d)&l)
|
((d>f)|((s&w)|(((s>b)|w)&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d>(f&(g&f)))
|
(w>(l&(f|~(((s>s)&f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((l&~(((l>l)>(s>s))))&f)|(~(g)|s)))
|
((s&(~((g&s))>((f|d)|~(g))))>g)
| 1 | 1 | 0 | 0 |
entailment
|
~(((((b&b)|((f&f)&w))>(s&(b&f)))|d))
|
~((g&(w&d)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((l&~(((l>l)>(s>s))))&f)|(~(g)|s)))
|
~((g&(w&d)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((((b&b)|((f&f)&w))>(s&(b&f)))|d))
|
((s&(~((g&s))>((f|d)|~(g))))>g)
| 0 | 1 | 0 | 0 |
not entailment
|
~((l>((f&~(w))>b)))
|
(f|g)
| 1 | 1 | 0 | 0 |
entailment
|
(b&(b&d))
|
((d|((l&w)|l))&(b&(~(f)|(f|g))))
| 1 | 0 | 0 | 0 |
entailment
|
~((l>((f&~(w))>b)))
|
((d|((l&w)|l))&(b&(~(f)|(f|g))))
| 0 | 0 | 0 | 0 |
not entailment
|
(b&(b&d))
|
(f|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(((s|~(d))>b)&g)
|
((~((l&((w|(s&f))>b)))|(w|g))|f)
| 1 | 0 | 0 | 0 |
entailment
|
((l|((~(~(d))>b)|(b>w)))>(~(~(d))&s))
|
((f>s)&((g>d)|f))
| 1 | 1 | 0 | 0 |
entailment
|
(((s|~(d))>b)&g)
|
((f>s)&((g>d)|f))
| 0 | 1 | 0 | 0 |
not entailment
|
((l|((~(~(d))>b)|(b>w)))>(~(~(d))&s))
|
((~((l&((w|(s&f))>b)))|(w|g))|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&(~(~(((b&s)|d)))&s))
|
(~(((w|l)&g))>l)
| 1 | 1 | 0 | 0 |
entailment
|
((l|w)>(b&~((w|g))))
|
(~(((~((f&l))|(f&s))>(l>b)))>f)
| 1 | 0 | 0 | 0 |
entailment
|
(l&(~(~(((b&s)|d)))&s))
|
(~(((~((f&l))|(f&s))>(l>b)))>f)
| 0 | 0 | 0 | 0 |
not entailment
|
((l|w)>(b&~((w|g))))
|
(~(((w|l)&g))>l)
| 0 | 1 | 1 | 0 |
not entailment
|
(s&(g&f))
|
(((l|(~(b)|g))|s)|d)
| 1 | 0 | 0 | 0 |
entailment
|
(~(d)&(l>f))
|
(~((d&w))&(((l|l)>(s&b))|(f&l)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&(g&f))
|
(~((d&w))&(((l|l)>(s&b))|(f&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(d)&(l>f))
|
(((l|(~(b)|g))|s)|d)
| 0 | 0 | 0 | 0 |
not entailment
|
((b&(((w&w)|(s&f))|w))&(w>g))
|
(l>(g|f))
| 1 | 1 | 0 | 0 |
entailment
|
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