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 |
|---|---|---|---|---|---|---|
(((~(~(d))&o)|(z&~(~(d))))&(b>o))
|
((p>((z>d)&r))>(d|p))
| 1 | 1 | 0 | 0 |
entailment
|
~(((t|u)|~(~(((b|p)&b)))))
|
((p>((z>d)&r))>(d|p))
| 0 | 1 | 0 | 0 |
not entailment
|
(((~(~(d))&o)|(z&~(~(d))))&(b>o))
|
~((u&r))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&u)&~(((y&(o>o))|(z>d))))
|
(u|~(~((((c>o)>b)&(r|t)))))
| 1 | 1 | 0 | 0 |
entailment
|
((r&c)&(d>y))
|
(~((c|o))>~((d|(p|r))))
| 1 | 0 | 0 | 0 |
entailment
|
((u&u)&~(((y&(o>o))|(z>d))))
|
(~((c|o))>~((d|(p|r))))
| 0 | 1 | 0 | 0 |
not entailment
|
((r&c)&(d>y))
|
(u|~(~((((c>o)>b)&(r|t)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((f>p)&p)|(f|f))&~((f&(f>f))))
|
(((((p>p)|f)|~((f>~(((f&p)|p)))))>f)>p)
| 1 | 0 | 1 | 0 |
entailment
|
(f|(f&p))
|
(p>f)
| 1 | 1 | 1 | 0 |
entailment
|
((((f>p)&p)|(f|f))&~((f&(f>f))))
|
(p>f)
| 0 | 1 | 1 | 0 |
not entailment
|
(f|(f&p))
|
(((((p>p)|f)|~((f>~(((f&p)|p)))))>f)>p)
| 0 | 0 | 1 | 0 |
not entailment
|
(~(f)&p)
|
~(((((f&f)|(f&p))&(f>f))|~((p&(p|f)))))
| 1 | 0 | 1 | 0 |
entailment
|
(f|(~(((p|p)|p))&((p&(p|p))|f)))
|
(f|~((p|(p|f))))
| 1 | 1 | 1 | 0 |
entailment
|
(~(f)&p)
|
(f|~((p|(p|f))))
| 0 | 0 | 1 | 0 |
not entailment
|
(f|(~(((p|p)|p))&((p&(p|p))|f)))
|
~(((((f&f)|(f&p))&(f>f))|~((p&(p|f)))))
| 0 | 0 | 1 | 0 |
not entailment
|
(f&f)
|
((((p|f)|p)>(p>(p>f)))|~(((p&(p>p))&p)))
| 1 | 0 | 0 | 0 |
entailment
|
((p|p)&p)
|
((f>f)&p)
| 1 | 1 | 0 | 0 |
entailment
|
(f&f)
|
((f>f)&p)
| 0 | 0 | 0 | 0 |
not entailment
|
((p|p)&p)
|
((((p|f)|p)>(p>(p>f)))|~(((p&(p>p))&p)))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&p)
|
((~(f)&~(p))>p)
| 1 | 0 | 1 | 1 |
entailment
|
~((p|p))
|
~(p)
| 1 | 1 | 1 | 1 |
entailment
|
(f&p)
|
~(p)
| 0 | 1 | 1 | 0 |
not entailment
|
~((p|p))
|
((~(f)&~(p))>p)
| 0 | 0 | 0 | 0 |
not entailment
|
((p&~(~(f)))&p)
|
(p&(f&p))
| 1 | 1 | 1 | 1 |
entailment
|
((~(f)|p)&~(((f|f)&(p|p))))
|
~(((p&f)&(((p|p)&p)&f)))
| 1 | 1 | 1 | 1 |
entailment
|
((p&~(~(f)))&p)
|
~(((p&f)&(((p|p)&p)&f)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(f)|p)&~(((f|f)&(p|p))))
|
(p&(f&p))
| 0 | 1 | 1 | 0 |
not entailment
|
((f&f)|((p|f)&f))
|
(f|((((f>f)&f)|p)|(((f>(p&(f>f)))|f)&f)))
| 1 | 0 | 1 | 0 |
entailment
|
~((p|(f|p)))
|
(p>~((((p&(~(f)>(p&f)))|(f>f))|f)))
| 1 | 0 | 1 | 0 |
entailment
|
((f&f)|((p|f)&f))
|
(p>~((((p&(~(f)>(p&f)))|(f>f))|f)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((p|(f|p)))
|
(f|((((f>f)&f)|p)|(((f>(p&(f>f)))|f)&f)))
| 0 | 0 | 1 | 0 |
not entailment
|
((~(~(~(p)))|(~(p)&f))|((f>f)&f))
|
(p>f)
| 1 | 1 | 1 | 1 |
entailment
|
(p|(((((f>f)>f)&p)&p)&(p|(p&p))))
|
(~((p|~(f)))>(~(f)&((p&p)&((p>f)>f))))
| 1 | 0 | 1 | 1 |
entailment
|
((~(~(~(p)))|(~(p)&f))|((f>f)&f))
|
(~((p|~(f)))>(~(f)&((p&p)&((p>f)>f))))
| 0 | 0 | 1 | 0 |
not entailment
|
(p|(((((f>f)>f)&p)&p)&(p|(p&p))))
|
(p>f)
| 0 | 1 | 1 | 0 |
not entailment
|
((f|f)&(p|((p>f)&(p|p))))
|
~((p>~(p)))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((~(f)|((f|f)>~((p|f))))))
|
~((~((f&p))>f))
| 1 | 1 | 1 | 1 |
entailment
|
((f|f)&(p|((p>f)&(p|p))))
|
~((~((f&p))>f))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~((~(f)|((f|f)>~((p|f))))))
|
~((p>~(p)))
| 0 | 1 | 1 | 0 |
not entailment
|
(p|p)
|
((p|~((f&f)))|~((f|(f&(f>f)))))
| 1 | 0 | 0 | 0 |
entailment
|
((p>(p&f))&~(~(f)))
|
((f|((p&f)&((~(p)|f)&f)))&((p&p)|f))
| 1 | 0 | 1 | 1 |
entailment
|
(p|p)
|
((f|((p&f)&((~(p)|f)&f)))&((p&p)|f))
| 0 | 0 | 0 | 0 |
not entailment
|
((p>(p&f))&~(~(f)))
|
((p|~((f&f)))|~((f|(f&(f>f)))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(f)
|
~(((f&p)|(f&p)))
| 1 | 0 | 0 | 0 |
entailment
|
(p|((~((f>~(f)))&p)&p))
|
((((f|p)|(f|f))|f)|(p&p))
| 1 | 1 | 1 | 1 |
entailment
|
~(f)
|
((((f|p)|(f|f))|f)|(p&p))
| 0 | 0 | 0 | 0 |
not entailment
|
(p|((~((f>~(f)))&p)&p))
|
~(((f&p)|(f&p)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(p)
|
((p>f)&(f>f))
| 1 | 0 | 0 | 0 |
entailment
|
(p|p)
|
((p|p)|p)
| 1 | 0 | 1 | 1 |
entailment
|
~(p)
|
((p|p)|p)
| 0 | 0 | 1 | 0 |
not entailment
|
(p|p)
|
((p>f)&(f>f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((g|h)|((j|q)>y)))
|
((h&((j|s)|l))>(q>i))
| 1 | 1 | 0 | 0 |
entailment
|
~((((u>q)>(u|g))|y))
|
~((~(((y>q)&(h|(y|l))))&u))
| 1 | 0 | 0 | 0 |
entailment
|
~(((g|h)|((j|q)>y)))
|
~((~(((y>q)&(h|(y|l))))&u))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((u>q)>(u|g))|y))
|
((h&((j|s)|l))>(q>i))
| 0 | 1 | 0 | 0 |
not entailment
|
((g>l)&~(~(~((s>(g|x))))))
|
((g&s)>(((s|h)>~((j>q)))>(~(x)|i)))
| 1 | 0 | 0 | 0 |
entailment
|
(h&l)
|
((i|q)>(((~(x)|h)>l)|x))
| 1 | 0 | 0 | 0 |
entailment
|
((g>l)&~(~(~((s>(g|x))))))
|
((i|q)>(((~(x)|h)>l)|x))
| 0 | 1 | 0 | 0 |
not entailment
|
(h&l)
|
((g&s)>(((s|h)>~((j>q)))>(~(x)|i)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(x)
|
((x&(~((l|~((g&(s>g)))))>((q&y)&q)))>s)
| 1 | 0 | 0 | 0 |
entailment
|
~(x)
|
(l>s)
| 0 | 1 | 0 | 0 |
not entailment
|
~(l)
|
((x&(~((l|~((g&(s>g)))))>((q&y)&q)))>s)
| 0 | 0 | 0 | 0 |
not entailment
|
~((g>(q>i)))
|
~((((i|i)&((q&(s>u))>j))&l))
| 1 | 0 | 0 | 0 |
entailment
|
((u&y)&(s&(l>q)))
|
(y|~((~(~((u&(u|s))))&s)))
| 1 | 0 | 1 | 0 |
entailment
|
~((g>(q>i)))
|
(y|~((~(~((u&(u|s))))&s)))
| 0 | 0 | 0 | 0 |
not entailment
|
((u&y)&(s&(l>q)))
|
~((((i|i)&((q&(s>u))>j))&l))
| 0 | 0 | 0 | 0 |
not entailment
|
(((s&x)>(g|h))>~((s>(g&(y|s)))))
|
(((~((s>(q&h)))|(x&y))|~(g))>(g>(h>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((x>(g>s)))|l)
|
(((q&i)|(s>l))|g)
| 1 | 1 | 0 | 0 |
entailment
|
(((s&x)>(g|h))>~((s>(g&(y|s)))))
|
(((q&i)|(s>l))|g)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((x>(g>s)))|l)
|
(((~((s>(q&h)))|(x&y))|~(g))>(g>(h>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(((y>i)>~(y)))&((x>g)&(l&q)))
|
(~((q|x))>~((g>x)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(((q|g)|s))&(i|((y>s)&h)))
|
(~(x)|(q>u))
| 1 | 1 | 0 | 0 |
entailment
|
(~(((y>i)>~(y)))&((x>g)&(l&q)))
|
(~(x)|(q>u))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((q|g)|s))&(i|((y>s)&h)))
|
(~((q|x))>~((g>x)))
| 0 | 1 | 0 | 0 |
not entailment
|
((x>q)&(~(~(u))&~((q&l))))
|
(((u|(l|q))|g)|(u|((s|g)|x)))
| 1 | 1 | 0 | 0 |
entailment
|
((h|((i>u)&(u>g)))>~(~(~(((h&q)>h)))))
|
((h&j)>g)
| 1 | 1 | 0 | 0 |
entailment
|
((x>q)&(~(~(u))&~((q&l))))
|
((h&j)>g)
| 0 | 1 | 0 | 0 |
not entailment
|
((h|((i>u)&(u>g)))>~(~(~(((h&q)>h)))))
|
(((u|(l|q))|g)|(u|((s|g)|x)))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&g)&~(~(((x>j)>q))))
|
(((q|g)>q)|x)
| 1 | 1 | 1 | 0 |
entailment
|
(h&y)
|
((((h&y)&((g>x)|h))|~(((s|j)>(u>s))))>y)
| 1 | 0 | 0 | 0 |
entailment
|
((x&g)&~(~(((x>j)>q))))
|
((((h&y)&((g>x)|h))|~(((s|j)>(u>s))))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
(h&y)
|
(((q|g)>q)|x)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((u>q)|(y>~(j))))
|
(j|~(((x&(i>(h&(u>(i|(i|s))))))&u)))
| 1 | 0 | 0 | 0 |
entailment
|
~((u>((i>s)>(g>j))))
|
(((l|y)&x)>(((u>x)>i)>g))
| 1 | 0 | 0 | 0 |
entailment
|
~(((u>q)|(y>~(j))))
|
(((l|y)&x)>(((u>x)>i)>g))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u>((i>s)>(g>j))))
|
(j|~(((x&(i>(h&(u>(i|(i|s))))))&u)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((q|~(u)))&~(x))
|
(((j|q)>s)|j)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~((h&q)))&((((h|x)>h)&y)>x))
|
((j>~(y))|((((h&(s&s))|x)&j)&(s|x)))
| 1 | 0 | 0 | 0 |
entailment
|
(~((q|~(u)))&~(x))
|
((j>~(y))|((((h&(s&s))|x)&j)&(s|x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((h&q)))&((((h|x)>h)&y)>x))
|
(((j|q)>s)|j)
| 0 | 1 | 0 | 0 |
not entailment
|
(~((h|g))&~((x>(y>~(((y>h)>g))))))
|
(((q&g)&(((y&j)>q)>j))>l)
| 1 | 1 | 0 | 0 |
entailment
|
~((~(y)>((j>x)|(h|~((~((x&q))|i))))))
|
(~((y&~(h)))&~((g&y)))
| 1 | 1 | 0 | 0 |
entailment
|
(~((h|g))&~((x>(y>~(((y>h)>g))))))
|
(~((y&~(h)))&~((g&y)))
| 0 | 1 | 1 | 0 |
not entailment
|
~((~(y)>((j>x)|(h|~((~((x&q))|i))))))
|
(((q&g)&(((y&j)>q)>j))>l)
| 0 | 1 | 0 | 0 |
not entailment
|
~((x|(s>~((j&s)))))
|
((l|s)|x)
| 1 | 1 | 0 | 0 |
entailment
|
(~(~(h))&i)
|
(((l|(~((x|l))>g))|(i|(y>u)))|(y>h))
| 1 | 0 | 0 | 0 |
entailment
|
~((x|(s>~((j&s)))))
|
(((l|(~((x|l))>g))|(i|(y>u)))|(y>h))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(h))&i)
|
((l|s)|x)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((y>i))&(s&(q|~(j))))&l)
|
(~(s)>j)
| 1 | 1 | 1 | 0 |
entailment
|
~((q>~((h|(l|h)))))
|
(((s>g)&~((q|i)))>i)
| 1 | 1 | 0 | 0 |
entailment
|
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