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 |
|---|---|---|---|---|---|---|
(~((f>~((f|t))))&t)
|
(t|(~(~(((t&~(~(~(f))))>f)))>t))
| 1 | 0 | 1 | 0 |
entailment
|
~((t|(f|f)))
|
(t>(~(t)&f))
| 1 | 1 | 1 | 0 |
entailment
|
(~((f>~((f|t))))&t)
|
(t>(~(t)&f))
| 0 | 1 | 1 | 0 |
not entailment
|
~((t|(f|f)))
|
(t|(~(~(((t&~(~(~(f))))>f)))>t))
| 0 | 0 | 1 | 0 |
not entailment
|
(g&(p&(~(d)&((h|g)>(~(o)&f)))))
|
(((o&z)|((f>~(d))>(w>p)))|f)
| 1 | 1 | 0 | 0 |
entailment
|
~((d>~(g)))
|
((((d>w)>(f&z))&(w&(d|z)))|d)
| 1 | 0 | 0 | 0 |
entailment
|
(g&(p&(~(d)&((h|g)>(~(o)&f)))))
|
((((d>w)>(f&z))&(w&(d|z)))|d)
| 0 | 1 | 0 | 0 |
not entailment
|
~((d>~(g)))
|
(((o&z)|((f>~(d))>(w>p)))|f)
| 0 | 0 | 0 | 0 |
not entailment
|
(j&p)
|
((d|j)|g)
| 1 | 0 | 0 | 0 |
entailment
|
((d>((p&o)&g))&~(((o>f)|((g|f)&o))))
|
((o|f)>~((d&o)))
| 1 | 1 | 1 | 1 |
entailment
|
(j&p)
|
((o|f)>~((d&o)))
| 0 | 0 | 0 | 0 |
not entailment
|
((d>((p&o)&g))&~(((o>f)|((g|f)&o))))
|
((d|j)|g)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((d&p)>(~(~(z))&(g|(h|p)))))
|
((~((f&~(~(~(p)))))>f)|p)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((j|j)>(w|d)))&~((z&j)))
|
~(~(j))
| 1 | 1 | 1 | 1 |
entailment
|
~(((d&p)>(~(~(z))&(g|(h|p)))))
|
~(~(j))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((j|j)>(w|d)))&~((z&j)))
|
((~((f&~(~(~(p)))))>f)|p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((z&(d|o))|d)|~((z&g))))
|
(~((g>o))|(z|z))
| 1 | 1 | 1 | 1 |
entailment
|
(~(j)&d)
|
(((f&d)|(~((p>((z|g)|d)))|~(f)))|h)
| 1 | 0 | 0 | 0 |
entailment
|
~((((z&(d|o))|d)|~((z&g))))
|
(((f&d)|(~((p>((z|g)|d)))|~(f)))|h)
| 0 | 0 | 0 | 0 |
not entailment
|
(~(j)&d)
|
(~((g>o))|(z|z))
| 0 | 0 | 0 | 0 |
not entailment
|
(((h&w)&~((z|f)))&g)
|
(g|(d|(~((h>z))&(o&(p>z)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(((o|((o&w)>~(f)))>g))&~(g))
|
(((w>w)&~(g))|z)
| 1 | 1 | 0 | 0 |
entailment
|
(((h&w)&~((z|f)))&g)
|
(((w>w)&~(g))|z)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((o|((o&w)>~(f)))>g))&~(g))
|
(g|(d|(~((h>z))&(o&(p>z)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(f&(o>j)))
|
(f|((h|(h|(~(w)>d)))|d))
| 1 | 0 | 0 | 0 |
entailment
|
((((h>p)|(j>j))&o)&(~(w)|~(((h&h)|h))))
|
((d|(j|o))&((g&o)|o))
| 1 | 1 | 0 | 0 |
entailment
|
(g&(f&(o>j)))
|
((d|(j|o))&((g&o)|o))
| 0 | 0 | 0 | 0 |
not entailment
|
((((h>p)|(j>j))&o)&(~(w)|~(((h&h)|h))))
|
(f|((h|(h|(~(w)>d)))|d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((p>f)>(g|g)))))
|
((h>f)|(d>((h|p)>(p>(((h|h)&(z|h))&o)))))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(z|p))
|
((d|w)|(h&~(~(((f&j)|g)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((p>f)>(g|g)))))
|
((d|w)|(h&~(~(((f&j)|g)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(z|p))
|
((h>f)|(d>((h|p)>(p>(((h|h)&(z|h))&o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((z>f))
|
(g>((p>f)>z))
| 1 | 0 | 0 | 0 |
entailment
|
((p|o)&(g&(o>h)))
|
~(~((j|g)))
| 1 | 1 | 0 | 0 |
entailment
|
~((z>f))
|
~(~((j|g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((p|o)&(g&(o>h)))
|
(g>((p>f)>z))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((z>h)&(w>d))>((j|g)>(g&g))))
|
((p>h)|((((z|j)|j)|j)>~(g)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((z&w)|(o>z)))
|
~(~(o))
| 1 | 1 | 1 | 1 |
entailment
|
~((((z>h)&(w>d))>((j|g)>(g&g))))
|
~(~(o))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((z&w)|(o>z)))
|
((p>h)|((((z|j)|j)|j)>~(g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(w)&(f&o))&(j&(d&(~((z&d))>z))))
|
(f|~((((h|g)|g)&g)))
| 1 | 1 | 0 | 0 |
entailment
|
(((((j&p)|(h&z))|(~(w)&~(p)))&p)&h)
|
((~((g|z))&p)|h)
| 1 | 1 | 0 | 0 |
entailment
|
((~(w)&(f&o))&(j&(d&(~((z&d))>z))))
|
((~((g|z))&p)|h)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((j&p)|(h&z))|(~(w)&~(p)))&p)&h)
|
(f|~((((h|g)|g)&g)))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~(o))|~(d)))
|
((w>((w&~(w))&j))|((~(g)|(j&o))|d))
| 1 | 0 | 0 | 0 |
entailment
|
(g&((~(f)|d)|(p>(h>j))))
|
(~(j)>(~(((p>j)>g))|(g|~(f))))
| 1 | 0 | 1 | 0 |
entailment
|
~((~(~(o))|~(d)))
|
(~(j)>(~(((p>j)>g))|(g|~(f))))
| 0 | 0 | 0 | 0 |
not entailment
|
(g&((~(f)|d)|(p>(h>j))))
|
((w>((w&~(w))&j))|((~(g)|(j&o))|d))
| 0 | 0 | 0 | 0 |
not entailment
|
((g>(o&w))&(f&((o|p)&(d>(w&(g&d))))))
|
((f|d)>f)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(~(((z&j)>~(~(g))))))
|
~((~(((p|(z>((h&z)|g)))>j))&d))
| 1 | 0 | 0 | 0 |
entailment
|
((g>(o&w))&(f&((o|p)&(d>(w&(g&d))))))
|
~((~(((p|(z>((h&z)|g)))>j))&d))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((z&j)>~(~(g))))))
|
((f|d)>f)
| 0 | 1 | 0 | 0 |
not entailment
|
((w|((~((z|d))|z)&d))&((h&z)&f))
|
(d|(z|((~(g)>p)|h)))
| 1 | 1 | 0 | 0 |
entailment
|
~((((o|h)>j)&j))
|
~(j)
| 1 | 1 | 1 | 1 |
entailment
|
((w|((~((z|d))|z)&d))&((h&z)&f))
|
~(j)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((o|h)>j)&j))
|
(d|(z|((~(g)>p)|h)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(o)&z)&(f|(z&w)))
|
(o>j)
| 1 | 1 | 0 | 0 |
entailment
|
(~((g|h))&(w>z))
|
~(((((j>h)>o)|g)&h))
| 1 | 0 | 0 | 0 |
entailment
|
((~(o)&z)&(f|(z&w)))
|
~(((((j>h)>o)|g)&h))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((g|h))&(w>z))
|
(o>j)
| 0 | 1 | 0 | 0 |
not entailment
|
(s&(s&m))
|
(s|~(~((~(r)>~(~(r))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((s|((r|(m|m))&((w>r)&(w>r)))))
|
(((m|((m|r)>s))|~(a))>~(((m|w)&r)))
| 1 | 0 | 0 | 0 |
entailment
|
(s&(s&m))
|
(((m|((m|r)>s))|~(a))>~(((m|w)&r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((s|((r|(m|m))&((w>r)&(w>r)))))
|
(s|~(~((~(r)>~(~(r))))))
| 0 | 1 | 1 | 0 |
not entailment
|
(m&~(a))
|
(~(~(m))|(m|w))
| 1 | 0 | 0 | 0 |
entailment
|
(r&((m&m)>(((~(a)|w)&r)&r)))
|
(~(~((((r|~(r))|w)>r)))|a)
| 1 | 1 | 1 | 0 |
entailment
|
(m&~(a))
|
(~(~((((r|~(r))|w)>r)))|a)
| 0 | 0 | 0 | 0 |
not entailment
|
(r&((m&m)>(((~(a)|w)&r)&r)))
|
(~(~(m))|(m|w))
| 0 | 1 | 1 | 0 |
not entailment
|
~((w|~(~(s))))
|
((a|((a|(s&s))|(s>r)))>~(w))
| 1 | 0 | 0 | 0 |
entailment
|
(((a|(r|m))|((a|m)&((r&r)&m)))&~((s>a)))
|
(s&(~((w>~((~(w)>a))))|(w>a)))
| 1 | 1 | 0 | 0 |
entailment
|
~((w|~(~(s))))
|
(s&(~((w>~((~(w)>a))))|(w>a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a|(r|m))|((a|m)&((r&r)&m)))&~((s>a)))
|
((a|((a|(s&s))|(s>r)))>~(w))
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(w)>(a>r)))
|
(~(((w>~(w))>r))|s)
| 1 | 0 | 0 | 0 |
entailment
|
(r&((((w&s)>s)|(r>w))|((w>s)>r)))
|
(~(r)>(~(m)&r))
| 1 | 1 | 0 | 0 |
entailment
|
~((~(w)>(a>r)))
|
(~(r)>(~(m)&r))
| 0 | 1 | 0 | 0 |
not entailment
|
(r&((((w&s)>s)|(r>w))|((w>s)>r)))
|
(~(((w>~(w))>r))|s)
| 0 | 1 | 1 | 1 |
not entailment
|
~((r|(r|(s>w))))
|
(~(((a&~(m))|r))|~(m))
| 1 | 0 | 0 | 0 |
entailment
|
(((((r&r)>(m>m))|a)&w)|m)
|
(((m&m)>(m>w))>w)
| 1 | 1 | 1 | 0 |
entailment
|
~((r|(r|(s>w))))
|
(((m&m)>(m>w))>w)
| 0 | 1 | 0 | 0 |
not entailment
|
(((((r&r)>(m>m))|a)&w)|m)
|
(~(((a&~(m))|r))|~(m))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((m|~(m))>~(~(~((s&(a|(w&a))))))))
|
~((~(s)&w))
| 1 | 1 | 1 | 0 |
entailment
|
(~(w)>((~(~(r))>r)>(w&a)))
|
(~((~(s)&(m&a)))>w)
| 1 | 1 | 0 | 0 |
entailment
|
~(((m|~(m))>~(~(~((s&(a|(w&a))))))))
|
(~((~(s)&(m&a)))>w)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(w)>((~(~(r))>r)>(w&a)))
|
~((~(s)&w))
| 0 | 1 | 0 | 0 |
not entailment
|
(w&((((w>r)|w)>(a>a))>m))
|
(~(s)|m)
| 1 | 1 | 0 | 0 |
entailment
|
((s&m)|s)
|
(~(w)|(~(((s&~(w))&w))>s))
| 1 | 0 | 0 | 0 |
entailment
|
(w&((((w>r)|w)>(a>a))>m))
|
(~(w)|(~(((s&~(w))&w))>s))
| 0 | 0 | 0 | 0 |
not entailment
|
((s&m)|s)
|
(~(s)|m)
| 0 | 1 | 1 | 0 |
not entailment
|
~((s>(m>(m>~((r>w))))))
|
(((s|r)&s)&((a&m)|(s>m)))
| 1 | 1 | 0 | 0 |
entailment
|
((r>r)>~((~(w)>(r&((s>s)&s)))))
|
(((m&w)|s)>~(r))
| 1 | 1 | 0 | 0 |
entailment
|
~((s>(m>(m>~((r>w))))))
|
(((m&w)|s)>~(r))
| 0 | 1 | 1 | 0 |
not entailment
|
((r>r)>~((~(w)>(r&((s>s)&s)))))
|
(((s|r)&s)&((a&m)|(s>m)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(m)
|
(~(m)|~(a))
| 1 | 0 | 0 | 0 |
entailment
|
(((~(~(m))&w)|(s|r))>((m&s)&~((w|w))))
|
~(((((a>w)&r)&(~(r)|(r|s)))&(s>~(m))))
| 1 | 1 | 0 | 0 |
entailment
|
~(m)
|
~(((((a>w)&r)&(~(r)|(r|s)))&(s>~(m))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((~(~(m))&w)|(s|r))>((m&s)&~((w|w))))
|
(~(m)|~(a))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(m)&((~(w)&~(w))&r))
|
((((w|w)&s)|~(a))>(r&(w>w)))
| 1 | 0 | 0 | 0 |
entailment
|
((~((m&r))&s)|((w&s)&(s&s)))
|
~(~((s|~(~(w)))))
| 1 | 1 | 1 | 1 |
entailment
|
(~(m)&((~(w)&~(w))&r))
|
~(~((s|~(~(w)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((~((m&r))&s)|((w&s)&(s&s)))
|
((((w|w)&s)|~(a))>(r&(w>w)))
| 0 | 1 | 0 | 0 |
not entailment
|
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