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 |
|---|---|---|---|---|---|---|
((t&b)&((i|a)>(m&g)))
|
(t|((a>~(~(b)))|g))
| 1 | 1 | 1 | 1 |
entailment
|
(m&~(~(~((u>x)))))
|
(~((g>(t&(b&x))))>u)
| 1 | 1 | 0 | 0 |
entailment
|
((t&b)&((i|a)>(m&g)))
|
(~((g>(t&(b&x))))>u)
| 0 | 1 | 0 | 0 |
not entailment
|
(m&~(~(~((u>x)))))
|
(t|((a>~(~(b)))|g))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&a)&(b>(u>((m|x)>(b&b)))))
|
((t|~((m&(i|m))))|((t|(a>i))>((b>i)|g)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((b>u)>((x>b)>x)))
|
~((x&((x&(t>(((i>m)|i)|(g|b))))&x)))
| 1 | 0 | 0 | 0 |
entailment
|
((u&a)&(b>(u>((m|x)>(b&b)))))
|
~((x&((x&(t>(((i>m)|i)|(g|b))))&x)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b>u)>((x>b)>x)))
|
((t|~((m&(i|m))))|((t|(a>i))>((b>i)|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(t&~(((m&u)&~(x)))))
|
((((x|u)>(u&a))|~((~(i)|~(g))))|a)
| 1 | 0 | 0 | 0 |
entailment
|
(((m>~(((g>a)>b)))|x)|(g&~(x)))
|
((b>x)|((b&g)|~(((x>m)>(x|m)))))
| 1 | 1 | 1 | 0 |
entailment
|
(a&(t&~(((m&u)&~(x)))))
|
((b>x)|((b&g)|~(((x>m)>(x|m)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m>~(((g>a)>b)))|x)|(g&~(x)))
|
((((x|u)>(u&a))|~((~(i)|~(g))))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a|(a&m))|(~((x>u))|(~(b)>g))))
|
((((u>u)&~(a))&(g|i))>(b>~(b)))
| 1 | 1 | 0 | 0 |
entailment
|
(t&(b&b))
|
~(~(b))
| 1 | 1 | 1 | 1 |
entailment
|
~(((a|(a&m))|(~((x>u))|(~(b)>g))))
|
~(~(b))
| 0 | 1 | 1 | 0 |
not entailment
|
(t&(b&b))
|
((((u>u)&~(a))&(g|i))>(b>~(b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(a&(i|a))
|
~(~(a))
| 1 | 1 | 1 | 1 |
entailment
|
~((~((b>~((x>t))))>(a|t)))
|
(b|(b&b))
| 1 | 1 | 1 | 1 |
entailment
|
(a&(i|a))
|
(b|(b&b))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((b>~((x>t))))>(a|t)))
|
~(~(a))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(((b|(a|x))>(((g>m)>m)&(g>u)))))
|
((u|x)>(~((u|m))>~(b)))
| 1 | 1 | 1 | 0 |
entailment
|
~((u|t))
|
~(((m&b)&(~(t)>u)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((b|(a|x))>(((g>m)>m)&(g>u)))))
|
~(((m&b)&(~(t)>u)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((u|t))
|
((u|x)>(~((u|m))>~(b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(m&(((t|m)|x)|(u>i)))
|
((t>m)&~((~(~((m>b)))&~(b))))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((t>u))|b))
|
(~(~(t))>((b|i)>i))
| 1 | 0 | 0 | 0 |
entailment
|
(m&(((t|m)|x)|(u>i)))
|
(~(~(t))>((b|i)>i))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((t>u))|b))
|
((t>m)&~((~(~((m>b)))&~(b))))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&(t>t))&~(((((m|u)&(b&g))&b)|~(t))))
|
(((g>g)>(m>a))|(~((i&g))|t))
| 1 | 1 | 0 | 0 |
entailment
|
(((x>(((b&u)>x)|m))|(a|t))>~(((u>a)|t)))
|
(((t&m)&g)>b)
| 1 | 1 | 0 | 0 |
entailment
|
((u&(t>t))&~(((((m|u)&(b&g))&b)|~(t))))
|
(((t&m)&g)>b)
| 0 | 1 | 1 | 0 |
not entailment
|
(((x>(((b&u)>x)|m))|(a|t))>~(((u>a)|t)))
|
(((g>g)>(m>a))|(~((i&g))|t))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a|u)|g))
|
(u|(~((a>u))>(a&x)))
| 1 | 0 | 0 | 0 |
entailment
|
~((i|(t&((g>u)|(i&m)))))
|
(((u|a)|g)|((i>(x&m))|g))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a|u)|g))
|
(((u|a)|g)|((i>(x&m))|g))
| 0 | 0 | 0 | 0 |
not entailment
|
~((i|(t&((g>u)|(i&m)))))
|
(u|(~((a>u))>(a&x)))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((~(b)|~((i&i))))&(a>u))
|
(b>((((t&i)|g)&u)|i))
| 1 | 1 | 0 | 0 |
entailment
|
(t&g)
|
(x>(g|g))
| 1 | 0 | 0 | 0 |
entailment
|
(~((~(b)|~((i&i))))&(a>u))
|
(x>(g|g))
| 0 | 1 | 0 | 0 |
not entailment
|
(t&g)
|
(b>((((t&i)|g)&u)|i))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((((o&u)&y)&(u|o))))
|
(o|(~((u|u))>(((v|y)|q)&~(q))))
| 1 | 0 | 0 | 0 |
entailment
|
((o|q)>(((v&q)>o)&(o>f)))
|
((v&(o&v))>f)
| 1 | 1 | 1 | 1 |
entailment
|
~(~((((o&u)&y)&(u|o))))
|
((v&(o&v))>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((o|q)>(((v&q)>o)&(o>f)))
|
(o|(~((u|u))>(((v|y)|q)&~(q))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((~(o)>(f|y))>(v|v))>(u|(q>v))))
|
(u>q)
| 1 | 1 | 1 | 1 |
entailment
|
~((~(u)|((v&(~(v)|(v|f)))>(f|~(v)))))
|
(v|y)
| 1 | 1 | 0 | 0 |
entailment
|
~((((~(o)>(f|y))>(v|v))>(u|(q>v))))
|
(v|y)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(u)|((v&(~(v)|(v|f)))>(f|~(v)))))
|
(u>q)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(v))
|
(v|((y>u)|(v|~(((f>y)&y)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((~((f|f))>o)&~(u)))&y)
|
(((q&o)|y)|((v&q)&v))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(v))
|
(((q&o)|y)|((v&q)&v))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((~((f|f))>o)&~(u)))&y)
|
(v|((y>u)|(v|~(((f>y)&y)))))
| 0 | 1 | 0 | 0 |
not entailment
|
~(o)
|
(o>(u&q))
| 1 | 0 | 0 | 0 |
entailment
|
((o&o)|((((f>(y&y))&q)&(q>u))&v))
|
(~((o>((y|v)|f)))|~(~(((v|o)|(y|q)))))
| 1 | 0 | 1 | 0 |
entailment
|
~(o)
|
(~((o>((y|v)|f)))|~(~(((v|o)|(y|q)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((o&o)|((((f>(y&y))&q)&(q>u))&v))
|
(o>(u&q))
| 0 | 1 | 1 | 0 |
not entailment
|
(f>((y&(u&f))&~((q&~(~(y))))))
|
(y|(y|(f>v)))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((f|u)>((v&y)>v)))|(v|f))
|
(((y|y)|v)|(y|f))
| 1 | 1 | 1 | 1 |
entailment
|
(f>((y&(u&f))&~((q&~(~(y))))))
|
(((y|y)|v)|(y|f))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((f|u)>((v&y)>v)))|(v|f))
|
(y|(y|(f>v)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((~(o)>~(y))>(~((~(~(u))|q))&y))&u)
|
(~((v&v))|u)
| 1 | 1 | 0 | 0 |
entailment
|
(~(y)|(o&~((f|(((v&o)&v)|y)))))
|
(((q&(o>q))|q)>((~((u>(u&f)))>~(y))&q))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(o)>~(y))>(~((~(~(u))|q))&y))&u)
|
(((q&(o>q))|q)>((~((u>(u&f)))>~(y))&q))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(y)|(o&~((f|(((v&o)&v)|y)))))
|
(~((v&v))|u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~((o>o))|(q>f))|u))
|
((~(f)|(f|(y>q)))&(q&~(f)))
| 1 | 0 | 0 | 0 |
entailment
|
((((y>v)|y)&u)&(u&q))
|
((y>~(o))>~((~(u)&~(f))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~((o>o))|(q>f))|u))
|
((y>~(o))>~((~(u)&~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((y>v)|y)&u)&(u&q))
|
((~(f)|(f|(y>q)))&(q&~(f)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((v>(v&(o|y))))&~(y))
|
(q|~(o))
| 1 | 1 | 0 | 0 |
entailment
|
~(((v&~(((y|u)>(q&o))))>~(f)))
|
(~(f)>y)
| 1 | 1 | 1 | 1 |
entailment
|
(~((v>(v&(o|y))))&~(y))
|
(~(f)>y)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((v&~(((y|u)>(q&o))))>~(f)))
|
(q|~(o))
| 0 | 1 | 1 | 0 |
not entailment
|
(((y|q)&u)&(q|q))
|
(f>(u|v))
| 1 | 1 | 0 | 0 |
entailment
|
~((((f&q)>y)>v))
|
(v>(f&(y|f)))
| 1 | 1 | 1 | 0 |
entailment
|
(((y|q)&u)&(q|q))
|
(v>(f&(y|f)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((f&q)>y)>v))
|
(f>(u|v))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~((o>y))>v))
|
(((u|(f&y))&u)|((o|o)|u))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((((v|f)>v)&q)|u)|f))&(~((v&q))>y))
|
((q>(v|f))>(~(f)>(~(y)>y)))
| 1 | 1 | 1 | 1 |
entailment
|
~((~((o>y))>v))
|
((q>(v|f))>(~(f)>(~(y)>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((((v|f)>v)&q)|u)|f))&(~((v&q))>y))
|
(((u|(f&y))&u)|((o|o)|u))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&q)&(y>~(((o>f)&u))))
|
(u|o)
| 1 | 1 | 1 | 0 |
entailment
|
~((((u|y)>q)>~(v)))
|
~((~((f|v))&((u&(q&o))>y)))
| 1 | 0 | 0 | 0 |
entailment
|
((o&q)&(y>~(((o>f)&u))))
|
~((~((f|v))&((u&(q&o))>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((u|y)>q)>~(v)))
|
(u|o)
| 0 | 1 | 0 | 0 |
not entailment
|
(~(~(o))&~((u&~(~((~(q)|q))))))
|
(((f&q)|(q|u))>o)
| 1 | 1 | 0 | 0 |
entailment
|
(y&q)
|
((f&o)|y)
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(o))&~((u&~(~((~(q)|q))))))
|
((f&o)|y)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&q)
|
(((f&q)|(q|u))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
~((q>(~(((y|u)>~((y|f))))|(f&v))))
|
~(~(((q&~(((q|y)&o)))|q)))
| 1 | 1 | 0 | 0 |
entailment
|
((q>q)&~(((y>o)&(y>((f|q)&q)))))
|
(((q&f)>y)|y)
| 1 | 1 | 1 | 1 |
entailment
|
~((q>(~(((y|u)>~((y|f))))|(f&v))))
|
(((q&f)>y)|y)
| 0 | 1 | 1 | 0 |
not entailment
|
((q>q)&~(((y>o)&(y>((f|q)&q)))))
|
~(~(((q&~(((q|y)&o)))|q)))
| 0 | 1 | 1 | 0 |
not entailment
|
(~((((v>v)>~((o>f)))>(u>(o>v))))|~(y))
|
~(~((((o&(u>u))&y)>u)))
| 1 | 1 | 1 | 0 |
entailment
|
((((f|y)>q)>o)&~(~((v>(f|q)))))
|
(v>((f&v)|(f|q)))
| 1 | 1 | 1 | 0 |
entailment
|
(~((((v>v)>~((o>f)))>(u>(o>v))))|~(y))
|
(v>((f&v)|(f|q)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((f|y)>q)>o)&~(~((v>(f|q)))))
|
~(~((((o&(u>u))&y)>u)))
| 0 | 1 | 0 | 0 |
not entailment
|
((v|y)&(q&u))
|
(((u|(u|y))&~((f|y)))>~(((v&q)>f)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(~(q))&o)&~(((o&f)&((o>u)>y))))
|
(f|o)
| 1 | 1 | 1 | 0 |
entailment
|
((v|y)&(q&u))
|
(f|o)
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(q))&o)&~(((o&f)&((o>u)>y))))
|
(((u|(u|y))&~((f|y)))>~(((v&q)>f)))
| 0 | 1 | 0 | 0 |
not entailment
|
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