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
((~((n&n))&(j|n))&(w|(((t&s)&j)&~(t))))
((g>j)|(n|n))
1
1
0
0
entailment
(~(~((w>g)))&((j>j)>~(~(s))))
((s|w)&s)
1
1
1
0
entailment
((~((n&n))&(j|n))&(w|(((t&s)&j)&~(t))))
((s|w)&s)
0
1
1
1
not entailment
(~(~((w>g)))&((j>j)>~(~(s))))
((g>j)|(n|n))
0
1
0
0
not entailment
~(((n|j)|((g>n)|s)))
(((j|(g>w))&(s>j))>(s|(t|((j|s)|w))))
1
0
0
0
entailment
~(((n|s)|t))
(~(t)|~((g&~(j))))
1
0
0
0
entailment
~(((n|j)|((g>n)|s)))
(~(t)|~((g&~(j))))
0
1
0
0
not entailment
~(((n|s)|t))
(((j|(g>w))&(s>j))>(s|(t|((j|s)|w))))
0
0
0
0
not entailment
(w&((t|j)&j))
(w&w)
1
1
1
1
entailment
((~(n)|t)&((g|s)&~(((g>j)|s))))
((j>s)|(s|s))
1
1
1
1
entailment
(w&((t|j)&j))
((j>s)|(s|s))
0
1
0
0
not entailment
((~(n)|t)&((g|s)&~(((g>j)|s))))
(w&w)
0
1
0
0
not entailment
(~((w|g))&((t|(g&w))>~(w)))
~(~((~(t)>(n>((j|t)|(g>j))))))
1
0
0
0
entailment
(w&w)
(~(((t|t)>g))>(~(w)>(s&n)))
1
0
0
0
entailment
(~((w|g))&((t|(g&w))>~(w)))
(~(((t|t)>g))>(~(w)>(s&n)))
0
1
0
0
not entailment
(w&w)
~(~((~(t)>(n>((j|t)|(g>j))))))
0
0
0
0
not entailment
~(((~((t|~(~((n>j)))))>s)&(w&g)))
(((g&w)&t)>(n&(j|j)))
1
1
1
0
entailment
~(~((((n|g)|((j&n)>s))>t)))
(((s|n)|w)|(t|w))
1
1
0
0
entailment
~(((~((t|~(~((n>j)))))>s)&(w&g)))
(((s|n)|w)|(t|w))
0
1
1
0
not entailment
~(~((((n|g)|((j&n)>s))>t)))
(((g&w)&t)>(n&(j|j)))
0
1
0
0
not entailment
~((~(~((((t&t)>~(w))&(w>j))))|t))
(j>n)
1
1
0
0
entailment
((~(n)&(t&s))&w)
~(n)
1
1
1
1
entailment
~((~(~((((t&t)>~(w))&(w>j))))|t))
~(n)
0
1
0
0
not entailment
((~(n)&(t&s))&w)
(j>n)
0
1
0
0
not entailment
(((w&s)|((~(~(s))|g)&g))&~(g))
((t|s)>((s|w)>w))
1
1
0
0
entailment
((n>n)&(((n>s)|s)&(g|(j&g))))
((j>g)&((t|n)>(g|~((~(n)|w)))))
1
0
0
0
entailment
(((w&s)|((~(~(s))|g)&g))&~(g))
((j>g)&((t|n)>(g|~((~(n)|w)))))
0
1
0
0
not entailment
((n>n)&(((n>s)|s)&(g|(j&g))))
((t|s)>((s|w)>w))
0
1
0
0
not entailment
~(((~(g)>~(~(s)))&(g|j)))
(((s&s)|n)|(~(g)&~(s)))
1
1
0
0
entailment
~(w)
(w>~((s&(j>~(~(s))))))
1
0
0
0
entailment
~(((~(g)>~(~(s)))&(g|j)))
(w>~((s&(j>~(~(s))))))
0
1
0
0
not entailment
~(w)
(((s&s)|n)|(~(g)&~(s)))
0
0
0
0
not entailment
~(((~(g)>(s&~((~(~(n))&(s>w)))))|j))
(g>(g&n))
1
1
1
0
entailment
(s&(((t|~((s|t)))>(t>w))|~(j)))
(~(s)>(g|g))
1
1
0
0
entailment
~(((~(g)>(s&~((~(~(n))&(s>w)))))|j))
(~(s)>(g|g))
0
1
1
0
not entailment
(s&(((t|~((s|t)))>(t>w))|~(j)))
(g>(g&n))
0
1
0
0
not entailment
~(((s|(((w>g)|j)>n))>((j|~(j))>(j|j))))
(~(j)|~(~((w&(n&(g>n))))))
1
1
1
1
entailment
((((g&g)>(n|(s|s)))&t)&j)
((n>t)>j)
1
1
1
0
entailment
~(((s|(((w>g)|j)>n))>((j|~(j))>(j|j))))
((n>t)>j)
0
1
0
0
not entailment
((((g&g)>(n|(s|s)))&t)&j)
(~(j)|~(~((w&(n&(g>n))))))
0
0
0
0
not entailment
((n&s)&(w&(((~(n)|(t>~(n)))|(s&w))>n)))
((((~(s)>s)|(s&s))>g)|w)
1
1
0
0
entailment
~((j>(((t>s)|t)&~(s))))
((w&(s>n))>j)
1
1
0
0
entailment
((n&s)&(w&(((~(n)|(t>~(n)))|(s&w))>n)))
((w&(s>n))>j)
0
1
0
0
not entailment
~((j>(((t>s)|t)&~(s))))
((((~(s)>s)|(s&s))>g)|w)
0
1
0
0
not entailment
(q|~(((e>(l>l))|h)))
(~(~(((n>n)&(r>r))))&q)
1
0
0
0
entailment
~(((e>(r&(~(q)|q)))|l))
(r>(n>h))
1
1
0
0
entailment
(q|~(((e>(l>l))|h)))
(r>(n>h))
0
1
0
0
not entailment
~(((e>(r&(~(q)|q)))|l))
(~(~(((n>n)&(r>r))))&q)
0
1
0
0
not entailment
~(~((n&n)))
((r|r)>n)
1
1
0
0
entailment
((l>e)>(~(n)&l))
(~((l|e))>~(((~((q>r))&n)|~(e))))
1
0
0
0
entailment
~(~((n&n)))
(~((l|e))>~(((~((q>r))&n)|~(e))))
0
0
0
0
not entailment
((l>e)>(~(n)&l))
((r|r)>n)
0
1
0
0
not entailment
(((e&(r>h))&(r&~((l|n))))&(r&(n>n)))
((n|e)|q)
1
1
0
0
entailment
((f>n)>((n&l)&(h>(~(n)&l))))
(~(~(f))|((~(~(h))>q)&(n|q)))
1
0
0
0
entailment
(((e&(r>h))&(r&~((l|n))))&(r&(n>n)))
(~(~(f))|((~(~(h))>q)&(n|q)))
0
1
0
0
not entailment
((f>n)>((n&l)&(h>(~(n)&l))))
((n|e)|q)
0
1
0
0
not entailment
(f&((h|(l|h))|~((~((q|f))>(h>n)))))
(((e>~(n))&f)>((h|l)|(n&n)))
1
1
0
0
entailment
(r|((r&q)&(h>n)))
(r|q)
1
1
1
1
entailment
(f&((h|(l|h))|~((~((q|f))>(h>n)))))
(r|q)
0
1
0
0
not entailment
(r|((r&q)&(h>n)))
(((e>~(n))&f)>((h|l)|(n&n)))
0
0
0
0
not entailment
((e&(l|l))&q)
(r|((e>l)&e))
1
1
0
0
entailment
~(q)
(((h|n)&(q&(n|h)))>((l>n)&(h>(n>e))))
1
0
0
0
entailment
((e&(l|l))&q)
(((h|n)&(q&(n|h)))>((l>n)&(h>(n>e))))
0
0
0
0
not entailment
~(q)
(r|((e>l)&e))
0
0
0
0
not entailment
~(((((~(f)>f)|(~(n)>(h&n)))|q)&(q|n)))
(n>e)
1
1
0
0
entailment
((~(n)&n)|((r&l)&(l|~(~((r>h))))))
(~(~(~((l>(e|n)))))>(((r|e)|f)|r))
1
1
0
0
entailment
~(((((~(f)>f)|(~(n)>(h&n)))|q)&(q|n)))
(~(~(~((l>(e|n)))))>(((r|e)|f)|r))
0
1
0
0
not entailment
((~(n)&n)|((r&l)&(l|~(~((r>h))))))
(n>e)
0
1
0
0
not entailment
((e|~(q))&e)
(r>e)
1
1
0
0
entailment
(~(n)&h)
((~((~((q&q))|~(l)))>h)|((l&r)&e))
1
0
0
0
entailment
((e|~(q))&e)
((~((~((q&q))|~(l)))>h)|((l&r)&e))
0
0
0
0
not entailment
(~(n)&h)
(r>e)
0
1
0
0
not entailment
((l&((l|e)|f))&(r|r))
((((q&f)|e)|h)|(q>l))
1
1
0
0
entailment
(((f>r)&~(~(((f&(f&e))|n))))&(q&n))
(e>(n&n))
1
1
1
0
entailment
((l&((l|e)|f))&(r|r))
(e>(n&n))
0
1
0
0
not entailment
(((f>r)&~(~(((f&(f&e))|n))))&(q&n))
((((q&f)|e)|h)|(q>l))
0
1
0
0
not entailment
(~(~((l|e)))&~(((~((f|l))&r)>(q&q))))
((((n|q)>~(h))|(~((l&n))&h))|e)
1
1
0
0
entailment
(~((~(f)|q))&(l&f))
((f|q)&(l>(~(((n>h)>f))>r)))
1
0
0
0
entailment
(~(~((l|e)))&~(((~((f|l))&r)>(q&q))))
((f|q)&(l>(~(((n>h)>f))>r)))
0
1
0
0
not entailment
(~((~(f)|q))&(l&f))
((((n|q)>~(h))|(~((l&n))&h))|e)
0
0
0
0
not entailment
~(((r|q)|r))
((((((l|e)|n)|l)&q)&(l>~(f)))>~(h))
1
0
0
0
entailment
~(((l>(f|e))>~(h)))
(((n>((q>q)&((q|l)|(e|(q>e)))))>(r&n))|h)
1
0
0
0
entailment
~(((r|q)|r))
(((n>((q>q)&((q|l)|(e|(q>e)))))>(r&n))|h)
0
0
0
0
not entailment
~(((l>(f|e))>~(h)))
((((((l|e)|n)|l)&q)&(l>~(f)))>~(h))
0
0
0
0
not entailment
~(((n&e)|(~(((n|q)&e))>(e>r))))
((e>q)>((f|h)&e))
1
1
0
0
entailment
~((r|(~(n)&(h>e))))
~(~((~((f|((n|~((h>e)))|(n&r))))>f)))
1
0
0
0
entailment
~(((n&e)|(~(((n|q)&e))>(e>r))))
~(~((~((f|((n|~((h>e)))|(n&r))))>f)))
0
0
0
0
not entailment
~((r|(~(n)&(h>e))))
((e>q)>((f|h)&e))
0
1
0
0
not entailment
((f|e)&~(q))
(((q&l)|h)>h)
1
1
0
0
entailment
(e&q)
((e|(~(e)>r))|(l|h))
1
0
0
0
entailment
((f|e)&~(q))
((e|(~(e)>r))|(l|h))
0
0
0
0
not entailment
(e&q)
(((q&l)|h)>h)
0
0
0
0
not entailment
~(((~(r)>(f|r))|(q|e)))
~(((f&(((r>r)&q)&f))&~((e>(h|~(l))))))
1
0
0
0
entailment
((r&n)&f)
(~(r)>~((n>(l>(~(n)&r)))))
1
0
0
0
entailment
~(((~(r)>(f|r))|(q|e)))
(~(r)>~((n>(l>(~(n)&r)))))
0
0
0
0
not entailment
((r&n)&f)
~(((f&(((r>r)&q)&f))&~((e>(h|~(l))))))
0
0
0
0
not entailment
~(((h|n)>(r|q)))
~((h&q))
1
1
1
0
entailment
~(~(h))
((~(h)>f)|e)
1
0
0
0
entailment
~(((h|n)>(r|q)))
((~(h)>f)|e)
0
1
0
0
not entailment
~(~(h))
~((h&q))
0
1
0
0
not entailment