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