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 |
|---|---|---|---|---|---|---|
((g&(i&o))&w)
|
(((y>i)|~(y))|(((y>o)|~(x))>i))
| 1 | 0 | 0 | 0 |
entailment
|
((u&~(((g&~(u))|o)))&(~(y)>w))
|
(((o|w)|(~(x)&i))>u)
| 1 | 1 | 0 | 0 |
entailment
|
((g&(i&o))&w)
|
(((o|w)|(~(x)&i))>u)
| 0 | 0 | 0 | 0 |
not entailment
|
((u&~(((g&~(u))|o)))&(~(y)>w))
|
(((y>i)|~(y))|(((y>o)|~(x))>i))
| 0 | 1 | 0 | 0 |
not entailment
|
((((i&(i|u))&g)&y)&(x&w))
|
~(~(i))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(w)|g)|~((u&o))))
|
(((((x>g)|y)>(x&x))|(w&o))>o)
| 1 | 0 | 0 | 0 |
entailment
|
((((i&(i|u))&g)&y)&(x&w))
|
(((((x>g)|y)>(x&x))|(w&o))>o)
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(w)|g)|~((u&o))))
|
~(~(i))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(y))
|
(o|(i>~(((o&y)|(~((g|y))|o)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((x|g)|~((((u>g)>y)>(~(y)|y))))))
|
(y>((~(y)|~(g))>~(~(x))))
| 1 | 1 | 1 | 1 |
entailment
|
~(~(y))
|
(y>((~(y)|~(g))>~(~(x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((x|g)|~((((u>g)>y)>(~(y)|y))))))
|
(o|(i>~(((o&y)|(~((g|y))|o)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((i&(i&w))|i)
|
((((g|i)&(g>g))|y)|(~(o)|((u>~(w))|y)))
| 1 | 0 | 0 | 0 |
entailment
|
~((~(x)&((w|y)|((y|(x|x))>x))))
|
((~((g&((y>y)|i)))>u)|(i>~(~(x))))
| 1 | 0 | 0 | 0 |
entailment
|
((i&(i&w))|i)
|
((~((g&((y>y)|i)))>u)|(i>~(~(x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~(x)&((w|y)|((y|(x|x))>x))))
|
((((g|i)&(g>g))|y)|(~(o)|((u>~(w))|y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(u)|(y>x))>~((g>((g|~(w))>(x>x)))))
|
(((w|u)&((y&(w|i))&~((o>u))))|((u|g)|u))
| 1 | 1 | 0 | 0 |
entailment
|
~((((g&u)|(w>y))>((u|i)|((x|i)&y))))
|
((~((~(g)|(x|i)))&y)>~((u&(o&u))))
| 1 | 1 | 0 | 0 |
entailment
|
((~(u)|(y>x))>~((g>((g|~(w))>(x>x)))))
|
((~((~(g)|(x|i)))&y)>~((u&(o&u))))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((g&u)|(w>y))>((u|i)|((x|i)&y))))
|
(((w|u)&((y&(w|i))&~((o>u))))|((u|g)|u))
| 0 | 0 | 0 | 0 |
not entailment
|
(((y>((y>g)&g))|((w&o)|(x>~((x|u)))))&o)
|
(((x>u)&(~((i|i))|y))>((x>o)|~(i)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~(u))
|
(x|(u|(u&g)))
| 1 | 0 | 0 | 0 |
entailment
|
(((y>((y>g)&g))|((w&o)|(x>~((x|u)))))&o)
|
(x|(u|(u&g)))
| 0 | 1 | 1 | 0 |
not entailment
|
~(~(u))
|
(((x>u)&(~((i|i))|y))>((x>o)|~(i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(u)&(i|o))
|
~(u)
| 1 | 1 | 1 | 1 |
entailment
|
~(o)
|
((g>(o>u))|(((i|g)&x)|x))
| 1 | 0 | 0 | 0 |
entailment
|
(~(u)&(i|o))
|
((g>(o>u))|(((i|g)&x)|x))
| 0 | 0 | 0 | 0 |
not entailment
|
~(o)
|
~(u)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((y&i)|~((y|g))))
|
(((u|y)>(~((g>o))|i))>((u&o)>g))
| 1 | 0 | 0 | 0 |
entailment
|
((o|u)&~(~((w&(w>o)))))
|
~((~(x)&~((o&((o&(((y|g)&u)>w))|u)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((y&i)|~((y|g))))
|
~((~(x)&~((o&((o&(((y|g)&u)>w))|u)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((o|u)&~(~((w&(w>o)))))
|
(((u|y)>(~((g>o))|i))>((u&o)>g))
| 0 | 0 | 0 | 0 |
not entailment
|
~(u)
|
(~(x)|((~(((~(u)>y)>x))>(i&u))&(u>i)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(y)|~(y))
|
(~((~((y>g))|(y&(o>~((x|y))))))|(i&x))
| 1 | 0 | 0 | 0 |
entailment
|
~(u)
|
(~((~((y>g))|(y&(o>~((x|y))))))|(i&x))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)|~(y))
|
(~(x)|((~(((~(u)>y)>x))>(i&u))&(u>i)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((u>o)&(~((i|u))|(i>u)))&(x&g))
|
((o>x)|(g&~(g)))
| 1 | 1 | 1 | 0 |
entailment
|
((w|w)&((((x>w)|o)>u)|(~(o)&~((w>w)))))
|
((~((x|x))&(o|g))|u)
| 1 | 1 | 0 | 0 |
entailment
|
(((u>o)&(~((i|u))|(i>u)))&(x&g))
|
((~((x|x))&(o|g))|u)
| 0 | 1 | 1 | 0 |
not entailment
|
((w|w)&((((x>w)|o)>u)|(~(o)&~((w>w)))))
|
((o>x)|(g&~(g)))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&(((y&x)&g)|(y&(o&(x|i)))))&~(~(g)))
|
((g|i)|(~((u&((u&x)>~(w))))&x))
| 1 | 1 | 0 | 0 |
entailment
|
(x>((~(y)&(o|o))&(o>(i&~(x)))))
|
(i|~(~(~(x))))
| 1 | 1 | 1 | 1 |
entailment
|
((u&(((y&x)&g)|(y&(o&(x|i)))))&~(~(g)))
|
(i|~(~(~(x))))
| 0 | 1 | 1 | 0 |
not entailment
|
(x>((~(y)&(o|o))&(o>(i&~(x)))))
|
((g|i)|(~((u&((u&x)>~(w))))&x))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((o&g)>u))
|
(o&((i>w)>~(~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
((g|x)&(y&(o>w)))
|
(i|(~(g)|(g>y)))
| 1 | 1 | 0 | 0 |
entailment
|
~(((o&g)>u))
|
(i|(~(g)|(g>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
((g|x)&(y&(o>w)))
|
(o&((i>w)>~(~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(o>y)
|
((y|~(o))|w)
| 1 | 0 | 0 | 0 |
entailment
|
~((g>y))
|
(~(~((g|g)))|(y>~((i&w))))
| 1 | 0 | 0 | 0 |
entailment
|
(o>y)
|
(~(~((g|g)))|(y>~((i&w))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g>y))
|
((y|~(o))|w)
| 0 | 0 | 0 | 0 |
not entailment
|
~((((x>w)|w)|(((g|g)&x)&(y>u))))
|
((u&(y&g))>(~(~(~((i>y))))&o))
| 1 | 1 | 0 | 0 |
entailment
|
((y&(x&i))&x)
|
(((x>w)&((u>x)>g))|(y&(w|~(w))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((x>w)|w)|(((g|g)&x)&(y>u))))
|
(((x>w)&((u>x)>g))|(y&(w|~(w))))
| 0 | 1 | 1 | 0 |
not entailment
|
((y&(x&i))&x)
|
((u&(y&g))>(~(~(~((i>y))))&o))
| 0 | 0 | 0 | 0 |
not entailment
|
((((e>(c|f))&c)|(q>j))&((f|a)&(o&(r|k))))
|
(o&o)
| 1 | 1 | 1 | 1 |
entailment
|
(e&(d&c))
|
~((~(d)|(d&~(e))))
| 1 | 0 | 1 | 0 |
entailment
|
((((e>(c|f))&c)|(q>j))&((f|a)&(o&(r|k))))
|
~((~(d)|(d&~(e))))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&(d&c))
|
(o&o)
| 0 | 1 | 0 | 0 |
not entailment
|
((~((q&j))|k)>(~(((c|~(q))|r))&r))
|
(j|e)
| 1 | 1 | 0 | 0 |
entailment
|
((~(f)&k)&((f>(a|q))>q))
|
((c&q)|k)
| 1 | 1 | 0 | 0 |
entailment
|
((~((q&j))|k)>(~(((c|~(q))|r))&r))
|
((c&q)|k)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(f)&k)&((f>(a|q))>q))
|
(j|e)
| 0 | 1 | 0 | 0 |
not entailment
|
((((e|~(q))&c)>(f>c))>(q&d))
|
((r|a)>(q|((r>q)&a)))
| 1 | 1 | 0 | 0 |
entailment
|
((o|(((o&k)&~(c))|(~((c|d))>f)))&c)
|
(d>((f|~(~((q>c))))&(~((e|q))|c)))
| 1 | 1 | 0 | 0 |
entailment
|
((((e|~(q))&c)>(f>c))>(q&d))
|
(d>((f|~(~((q>c))))&(~((e|q))|c)))
| 0 | 0 | 1 | 0 |
not entailment
|
((o|(((o&k)&~(c))|(~((c|d))>f)))&c)
|
((r|a)>(q|((r>q)&a)))
| 0 | 1 | 0 | 0 |
not entailment
|
(e&(a>q))
|
(((j>(c|e))|q)|a)
| 1 | 0 | 0 | 0 |
entailment
|
((j&~((q&(f>f))))|(j&r))
|
~(((c&~((e>j)))&(~(o)&(q&c))))
| 1 | 0 | 0 | 0 |
entailment
|
(e&(a>q))
|
~(((c&~((e>j)))&(~(o)&(q&c))))
| 0 | 0 | 0 | 0 |
not entailment
|
((j&~((q&(f>f))))|(j&r))
|
(((j>(c|e))|q)|a)
| 0 | 1 | 0 | 0 |
not entailment
|
(((c|~(k))>k)&a)
|
(k|(((a|~(f))|d)&j))
| 1 | 0 | 0 | 0 |
entailment
|
~(((c|q)>d))
|
(((a&(c>a))>(c&o))|(d>f))
| 1 | 0 | 0 | 0 |
entailment
|
(((c|~(k))>k)&a)
|
(((a&(c>a))>(c&o))|(d>f))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((c|q)>d))
|
(k|(((a|~(f))|d)&j))
| 0 | 0 | 0 | 0 |
not entailment
|
(k&d)
|
(~((d|c))>((q>d)|(q&(c|e))))
| 1 | 0 | 0 | 0 |
entailment
|
(o&((j|e)&q))
|
((f&k)>o)
| 1 | 1 | 0 | 0 |
entailment
|
(k&d)
|
((f&k)>o)
| 0 | 0 | 0 | 0 |
not entailment
|
(o&((j|e)&q))
|
(~((d|c))>((q>d)|(q&(c|e))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((c|((~((f>r))&(a|j))>c)))|r)
|
(~(~((r|f)))|(c>e))
| 1 | 1 | 0 | 0 |
entailment
|
((o>(q|q))>~(((q>(c&d))>~(k))))
|
(~((q>d))>((o&q)>d))
| 1 | 1 | 1 | 0 |
entailment
|
(~((c|((~((f>r))&(a|j))>c)))|r)
|
(~((q>d))>((o&q)>d))
| 0 | 1 | 0 | 0 |
not entailment
|
((o>(q|q))>~(((q>(c&d))>~(k))))
|
(~(~((r|f)))|(c>e))
| 0 | 1 | 0 | 0 |
not entailment
|
((((r&k)|(j&(a>r)))&r)&(r>k))
|
(~((~((~((e>a))>o))|e))|(k|(r&a)))
| 1 | 0 | 0 | 0 |
entailment
|
(o>((c&d)&c))
|
(((q&(c|a))|(q>e))|~(o))
| 1 | 0 | 0 | 0 |
entailment
|
((((r&k)|(j&(a>r)))&r)&(r>k))
|
(((q&(c|a))|(q>e))|~(o))
| 0 | 1 | 0 | 0 |
not entailment
|
(o>((c&d)&c))
|
(~((~((~((e>a))>o))|e))|(k|(r&a)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~(~((k>c))))&k)
|
((j&k)|(~(c)|((c|~(d))>j)))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((((e>f)|(q&a))>q)))&~(o))
|
(~((~(q)|(f|~(o))))>(j>~((q|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~(~((k>c))))&k)
|
(~((~(q)|(f|~(o))))>(j>~((q|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((((e>f)|(q&a))>q)))&~(o))
|
((j&k)|(~(c)|((c|~(d))>j)))
| 0 | 1 | 0 | 0 |
not entailment
|
(k&(~((((a>r)>d)|e))|c))
|
~(~(((~(k)&f)>(o&r))))
| 1 | 1 | 0 | 0 |
entailment
|
~(((a&j)>~((f|(f&c)))))
|
((e|o)>(k>(q>((f&a)|(o>(a&j))))))
| 1 | 0 | 0 | 0 |
entailment
|
(k&(~((((a>r)>d)|e))|c))
|
((e|o)>(k>(q>((f&a)|(o>(a&j))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((a&j)>~((f|(f&c)))))
|
~(~(((~(k)&f)>(o&r))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((c|d)|k)&(f&(o>~(((e>c)|a)))))
|
(e|f)
| 1 | 1 | 1 | 1 |
entailment
|
(r&(~(d)&q))
|
(d>(~(~(~((e|(r|(j|e))))))&(f&e)))
| 1 | 0 | 0 | 0 |
entailment
|
(((c|d)|k)&(f&(o>~(((e>c)|a)))))
|
(d>(~(~(~((e|(r|(j|e))))))&(f&e)))
| 0 | 0 | 0 | 0 |
not entailment
|
(r&(~(d)&q))
|
(e|f)
| 0 | 1 | 0 | 0 |
not entailment
|
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