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 |
|---|---|---|---|---|---|---|
~((~(~((r&y)))>f))
|
((o&(x>(o|c)))|y)
| 1 | 1 | 0 | 0 |
entailment
|
~((o|((~(y)|c)>((p&r)|r))))
|
((o&(x>(o|c)))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(~((r&y)))>f))
|
~((o&y))
| 0 | 1 | 0 | 0 |
not entailment
|
(((r|o)|c)&((p&o)&~(r)))
|
(~(f)>(r>(c&p)))
| 1 | 1 | 0 | 0 |
entailment
|
((f&~(~(x)))|~(y))
|
((~(y)|(~(c)|(c&f)))|~(((x&c)>(y|o))))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|o)|c)&((p&o)&~(r)))
|
((~(y)|(~(c)|(c&f)))|~(((x&c)>(y|o))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&~(~(x)))|~(y))
|
(~(f)>(r>(c&p)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o&x)&((y|~(p))>(((p&~(x))|(c&r))>f)))
|
((o|y)|~((x>o)))
| 1 | 1 | 1 | 0 |
entailment
|
(~(c)&((o&f)>((x>~(c))&(~(c)>~(p)))))
|
(((o&(f>o))&((c&f)&(x>o)))>(y|y))
| 1 | 1 | 0 | 0 |
entailment
|
((o&x)&((y|~(p))>(((p&~(x))|(c&r))>f)))
|
(((o&(f>o))&((c&f)&(x>o)))>(y|y))
| 0 | 1 | 1 | 0 |
not entailment
|
(~(c)&((o&f)>((x>~(c))&(~(c)>~(p)))))
|
((o|y)|~((x>o)))
| 0 | 1 | 0 | 0 |
not entailment
|
((y&x)&((p|(y|c))>o))
|
(y&x)
| 1 | 1 | 1 | 1 |
entailment
|
(~((r>y))&p)
|
(((p|(o|p))|~((o>((r|c)&o))))&(p&(p|r)))
| 1 | 0 | 0 | 0 |
entailment
|
((y&x)&((p|(y|c))>o))
|
(((p|(o|p))|~((o>((r|c)&o))))&(p&(p|r)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((r>y))&p)
|
(y&x)
| 0 | 1 | 0 | 0 |
not entailment
|
((y>c)&~(~((o&~((x|p))))))
|
(o|(~((x>f))|~(y)))
| 1 | 1 | 0 | 0 |
entailment
|
(x&r)
|
(((x|y)|(f&(r|f)))&((f>~((o&(y&p))))>x))
| 1 | 0 | 0 | 0 |
entailment
|
((y>c)&~(~((o&~((x|p))))))
|
(((x|y)|(f&(r|f)))&((f>~((o&(y&p))))>x))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&r)
|
(o|(~((x>f))|~(y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(x&~(~(((((c&r)|r)&(r|c))&p))))
|
((~((f|o))|(~(f)&(o>(o&(p&c)))))>(x|o))
| 1 | 0 | 0 | 0 |
entailment
|
((o|y)&~(c))
|
((((p|y)>x)&c)>(f&(p&r)))
| 1 | 0 | 0 | 0 |
entailment
|
(x&~(~(((((c&r)|r)&(r|c))&p))))
|
((((p|y)>x)&c)>(f&(p&r)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o|y)&~(c))
|
((~((f|o))|(~(f)&(o>(o&(p&c)))))>(x|o))
| 0 | 0 | 0 | 0 |
not entailment
|
(f&(~((x>~(x)))>~((~(c)>r))))
|
(p|f)
| 1 | 1 | 0 | 0 |
entailment
|
(~(((r>f)|f))&~(y))
|
((x>r)|((p>o)&p))
| 1 | 1 | 0 | 0 |
entailment
|
(f&(~((x>~(x)))>~((~(c)>r))))
|
((x>r)|((p>o)&p))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(((r>f)|f))&~(y))
|
(p|f)
| 0 | 1 | 0 | 0 |
not entailment
|
(y&f)
|
(~(((y|r)>~(p)))|(p>(f>x)))
| 1 | 0 | 0 | 0 |
entailment
|
~(c)
|
(c>(~(x)>(p&~(x))))
| 1 | 0 | 0 | 0 |
entailment
|
(y&f)
|
(c>(~(x)>(p&~(x))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(c)
|
(~(((y|r)>~(p)))|(p>(f>x)))
| 0 | 0 | 0 | 0 |
not entailment
|
(o&((p|((((x|c)|o)>(f|c))|(~(o)>r)))>p))
|
(((p|f)|o)|(r>y))
| 1 | 1 | 0 | 0 |
entailment
|
((r>p)>~((((p&x)|p)|p)))
|
((y>y)&(p>y))
| 1 | 1 | 0 | 0 |
entailment
|
(o&((p|((((x|c)|o)>(f|c))|(~(o)>r)))>p))
|
((y>y)&(p>y))
| 0 | 1 | 0 | 0 |
not entailment
|
((r>p)>~((((p&x)|p)|p)))
|
(((p|f)|o)|(r>y))
| 0 | 1 | 0 | 0 |
not entailment
|
((x&r)&p)
|
(x>(p|~(f)))
| 1 | 0 | 0 | 0 |
entailment
|
((((o|y)|(~(o)|y))|(~(f)>c))>o)
|
~(~((o|f)))
| 1 | 1 | 1 | 0 |
entailment
|
((x&r)&p)
|
~(~((o|f)))
| 0 | 0 | 0 | 0 |
not entailment
|
((((o|y)|(~(o)|y))|(~(f)>c))>o)
|
(x>(p|~(f)))
| 0 | 1 | 0 | 0 |
not entailment
|
((o>x)&((~(c)>(~(f)>y))|(p>y)))
|
~(~((x|~((x|o)))))
| 1 | 1 | 1 | 0 |
entailment
|
((~(f)&(~(x)>(p|o)))&(c&~(p)))
|
(((~(x)>o)&f)>y)
| 1 | 1 | 0 | 0 |
entailment
|
((o>x)&((~(c)>(~(f)>y))|(p>y)))
|
(((~(x)>o)&f)>y)
| 0 | 1 | 1 | 0 |
not entailment
|
((~(f)&(~(x)>(p|o)))&(c&~(p)))
|
~(~((x|~((x|o)))))
| 0 | 1 | 1 | 0 |
not entailment
|
((q&z)&o)
|
((q>o)|((z>k)>g))
| 1 | 0 | 0 | 0 |
entailment
|
(w&(u>k))
|
((~(w)&(o>~(q)))|((u>k)|k))
| 1 | 0 | 0 | 0 |
entailment
|
((q&z)&o)
|
((~(w)&(o>~(q)))|((u>k)|k))
| 0 | 0 | 0 | 0 |
not entailment
|
(w&(u>k))
|
((q>o)|((z>k)>g))
| 0 | 0 | 0 | 0 |
not entailment
|
((k&k)|k)
|
(q|(((o&~(f))>(o|a))>k))
| 1 | 0 | 0 | 0 |
entailment
|
~((u|((a&a)|~((f&o)))))
|
(w>(f|(f|(u&(g>~(z))))))
| 1 | 1 | 0 | 0 |
entailment
|
((k&k)|k)
|
(w>(f|(f|(u&(g>~(z))))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((u|((a&a)|~((f&o)))))
|
(q|(((o&~(f))>(o|a))>k))
| 0 | 1 | 0 | 0 |
not entailment
|
((a&(u>w))&((o&z)&(g&o)))
|
((~(o)|(z>((z|o)>a)))&z)
| 1 | 1 | 1 | 0 |
entailment
|
~(z)
|
((o&(z>q))|~(z))
| 1 | 0 | 0 | 0 |
entailment
|
((a&(u>w))&((o&z)&(g&o)))
|
((o&(z>q))|~(z))
| 0 | 1 | 0 | 0 |
not entailment
|
~(z)
|
((~(o)|(z>((z|o)>a)))&z)
| 0 | 0 | 0 | 0 |
not entailment
|
(w>(~(l)&l))
|
((z>~(g))>~(w))
| 1 | 0 | 0 | 0 |
entailment
|
(a&(a>((o&q)&w)))
|
(w|k)
| 1 | 1 | 0 | 0 |
entailment
|
(w>(~(l)&l))
|
(w|k)
| 0 | 1 | 0 | 0 |
not entailment
|
(a&(a>((o&q)&w)))
|
((z>~(g))>~(w))
| 0 | 1 | 0 | 0 |
not entailment
|
(l&~((((q&w)|k)|(o>z))))
|
((w>l)|((q|a)|o))
| 1 | 1 | 0 | 0 |
entailment
|
((~(k)|((w|q)>a))&w)
|
~((~((k|w))&(a&((o|k)|z))))
| 1 | 0 | 0 | 0 |
entailment
|
(l&~((((q&w)|k)|(o>z))))
|
~((~((k|w))&(a&((o|k)|z))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(k)|((w|q)>a))&w)
|
((w>l)|((q|a)|o))
| 0 | 1 | 0 | 0 |
not entailment
|
((((z&w)|(q|f))|(a|f))&f)
|
(z>f)
| 1 | 1 | 1 | 0 |
entailment
|
((l&z)&((z|w)>a))
|
(~((((~(a)&g)|a)>u))>a)
| 1 | 0 | 0 | 0 |
entailment
|
((((z&w)|(q|f))|(a|f))&f)
|
(~((((~(a)&g)|a)>u))>a)
| 0 | 1 | 0 | 0 |
not entailment
|
((l&z)&((z|w)>a))
|
(z>f)
| 0 | 1 | 0 | 0 |
not entailment
|
(g&(f&w))
|
~((~(((g>a)|((f&k)|w)))&(l>((z>f)>z))))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(((l&k)&(l|l))))
|
((~(~(o))|l)|(~(l)&((a|g)&(u|a))))
| 1 | 0 | 0 | 0 |
entailment
|
(g&(f&w))
|
((~(~(o))|l)|(~(l)&((a|g)&(u|a))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((l&k)&(l|l))))
|
~((~(((g>a)|((f&k)|w)))&(l>((z>f)>z))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((a>((k>k)>g))>a)&(z|a))
|
((a&(~(a)>k))|(q>(k&k)))
| 1 | 1 | 0 | 0 |
entailment
|
((u&(z&~(k)))&~(((g|l)>~(~(o)))))
|
(((l>l)&u)|~((g>q)))
| 1 | 1 | 0 | 0 |
entailment
|
(((a>((k>k)>g))>a)&(z|a))
|
(((l>l)&u)|~((g>q)))
| 0 | 1 | 0 | 0 |
not entailment
|
((u&(z&~(k)))&~(((g|l)>~(~(o)))))
|
((a&(~(a)>k))|(q>(k&k)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((o|(g|(u>q)))>(l&(l&f)))&o)
|
((f|((k>u)|~(o)))|((~(~(q))|l)>(a&a)))
| 1 | 0 | 0 | 0 |
entailment
|
(((u&q)&((f&g)&(g&~(q))))|~((w>~(z))))
|
(q>z)
| 1 | 1 | 1 | 1 |
entailment
|
(((o|(g|(u>q)))>(l&(l&f)))&o)
|
(q>z)
| 0 | 1 | 0 | 0 |
not entailment
|
(((u&q)&((f&g)&(g&~(q))))|~((w>~(z))))
|
((f|((k>u)|~(o)))|((~(~(q))|l)>(a&a)))
| 0 | 1 | 0 | 0 |
not entailment
|
((f&(l>((o&a)>w)))&~(~(~((a>k)))))
|
~(k)
| 1 | 1 | 1 | 1 |
entailment
|
(((g|q)|((u&o)>~((l>w))))>o)
|
((q>u)|o)
| 1 | 1 | 1 | 1 |
entailment
|
((f&(l>((o&a)>w)))&~(~(~((a>k)))))
|
((q>u)|o)
| 0 | 1 | 0 | 0 |
not entailment
|
(((g|q)|((u&o)>~((l>w))))>o)
|
~(k)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((a>(k|k))|((k|f)&l)))
|
(~(((k&k)>((o&g)&f)))>(a|~(~(~(o)))))
| 1 | 0 | 0 | 0 |
entailment
|
(q&q)
|
(q|(((~(q)>w)&~(q))|g))
| 1 | 0 | 0 | 0 |
entailment
|
~(((a>(k|k))|((k|f)&l)))
|
(q|(((~(q)>w)&~(q))|g))
| 0 | 1 | 0 | 0 |
not entailment
|
(q&q)
|
(~(((k&k)>((o&g)&f)))>(a|~(~(~(o)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q>q)&(a|~(o)))&~(((a&f)|l)))
|
((~((q>w))>((l|o)>k))|(f>((g&z)|(u&l))))
| 1 | 0 | 0 | 0 |
entailment
|
~((l>a))
|
((~((z>l))&w)>((a|(o>a))>~((o|(z|z)))))
| 1 | 0 | 0 | 0 |
entailment
|
(((q>q)&(a|~(o)))&~(((a&f)|l)))
|
((~((z>l))&w)>((a|(o>a))>~((o|(z|z)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((l>a))
|
((~((q>w))>((l|o)>k))|(f>((g&z)|(u&l))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~((~(w)&(o>(w&o))))&w)&(~(a)>u))
|
(((f|z)>(w&w))&((z&w)>z))
| 1 | 1 | 0 | 0 |
entailment
|
~((((((u&k)>k)>(f&o))&o)>(q|(g|u))))
|
(((g>w)>~(f))>k)
| 1 | 1 | 0 | 0 |
entailment
|
((~((~(w)&(o>(w&o))))&w)&(~(a)>u))
|
(((g>w)>~(f))>k)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((((u&k)>k)>(f&o))&o)>(q|(g|u))))
|
(((f|z)>(w&w))&((z&w)>z))
| 0 | 1 | 0 | 0 |
not entailment
|
((q>q)&a)
|
(z|((~(l)|a)|(~(z)&((w|u)|(f&f)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(~((w&(l&f))))|k)
|
(((~(l)&o)>(z|u))|((f|k)>~((k>l))))
| 1 | 0 | 0 | 0 |
entailment
|
((q>q)&a)
|
(((~(l)&o)>(z|u))|((f|k)>~((k>l))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(~((w&(l&f))))|k)
|
(z|((~(l)|a)|(~(z)&((w|u)|(f&f)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((f>w)&g)
|
((q|(u>g))|(a&(~(g)|~((q&k)))))
| 1 | 0 | 0 | 0 |
entailment
|
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