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&g)|f)|g)
|
((g|f)|(g|m))
| 1 | 1 | 0 | 0 |
entailment
|
~((f|(f|(g|m))))
|
((g|f)|(g|m))
| 0 | 1 | 1 | 0 |
not entailment
|
(((f&g)|f)|g)
|
((g>g)&((f&g)|(f>m)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((g|g)|~(f))|m))
|
((~(((g|~(m))|f))>g)>(m>f))
| 1 | 0 | 1 | 0 |
entailment
|
(~(((f>f)&(g|g)))>(m|g))
|
(m|g)
| 1 | 1 | 1 | 1 |
entailment
|
~((((g|g)|~(f))|m))
|
(m|g)
| 0 | 1 | 1 | 0 |
not entailment
|
(~(((f>f)&(g|g)))>(m|g))
|
((~(((g|~(m))|f))>g)>(m>f))
| 0 | 0 | 1 | 0 |
not entailment
|
(~((((g>g)>(m>g))>(g|f)))&(f>g))
|
(~(~((f&f)))>(f&(f&m)))
| 1 | 1 | 1 | 0 |
entailment
|
~(((m|m)|(~(f)|(m&(~(g)|f)))))
|
(~(f)>((((g|f)>g)|~(~((m&g))))>m))
| 1 | 0 | 1 | 0 |
entailment
|
(~((((g>g)>(m>g))>(g|f)))&(f>g))
|
(~(f)>((((g|f)>g)|~(~((m&g))))>m))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((m|m)|(~(f)|(m&(~(g)|f)))))
|
(~(~((f&f)))>(f&(f&m)))
| 0 | 1 | 1 | 0 |
not entailment
|
((m&((m>f)&f))&(f|((m|g)&(g&m))))
|
(~(m)|(((g|f)&f)&(g>g)))
| 1 | 1 | 1 | 0 |
entailment
|
((g|g)|(m&(g&g)))
|
(g|~((~((g|g))|m)))
| 1 | 0 | 1 | 0 |
entailment
|
((m&((m>f)&f))&(f|((m|g)&(g&m))))
|
(g|~((~((g|g))|m)))
| 0 | 1 | 1 | 1 |
not entailment
|
((g|g)|(m&(g&g)))
|
(~(m)|(((g|f)&f)&(g>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((m>g)>~(((f|~(m))&g)))&(m&f))
|
((((m|f)|f)&~(~((g|((f&g)>f)))))>(f>m))
| 1 | 0 | 1 | 0 |
entailment
|
((m&g)|g)
|
((g&(f>m))|(f>g))
| 1 | 0 | 0 | 0 |
entailment
|
(((m>g)>~(((f|~(m))&g)))&(m&f))
|
((g&(f>m))|(f>g))
| 0 | 1 | 1 | 0 |
not entailment
|
((m&g)|g)
|
((((m|f)|f)&~(~((g|((f&g)>f)))))>(f>m))
| 0 | 0 | 0 | 0 |
not entailment
|
~((g&((f&g)>m)))
|
(g>(((f>f)|(((g&g)|f)>g))>f))
| 1 | 0 | 1 | 0 |
entailment
|
((g&m)&((g|g)>g))
|
(((g|g)|((g|f)>g))>g)
| 1 | 0 | 0 | 0 |
entailment
|
~((g&((f&g)>m)))
|
(((g|g)|((g|f)>g))>g)
| 0 | 0 | 1 | 1 |
not entailment
|
((g&m)&((g|g)>g))
|
(g>(((f>f)|(((g&g)|f)>g))>f))
| 0 | 0 | 0 | 0 |
not entailment
|
((f&g)&g)
|
~(((m>~(f))&m))
| 1 | 0 | 0 | 0 |
entailment
|
(m&(~((~(g)>g))&m))
|
~(((f>g)&(~(~(g))|(f|~((g>f))))))
| 1 | 0 | 0 | 0 |
entailment
|
((f&g)&g)
|
~(((f>g)&(~(~(g))|(f|~((g>f))))))
| 0 | 0 | 1 | 0 |
not entailment
|
(m&(~((~(g)>g))&m))
|
~(((m>~(f))&m))
| 0 | 1 | 0 | 0 |
not entailment
|
((m&g)&(f>m))
|
((g|f)|(m&(m>g)))
| 1 | 0 | 1 | 0 |
entailment
|
~(((m>m)&f))
|
(f>~(g))
| 1 | 1 | 0 | 0 |
entailment
|
((m&g)&(f>m))
|
(f>~(g))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((m>m)&f))
|
((g|f)|(m&(m>g)))
| 0 | 0 | 0 | 0 |
not entailment
|
((o>o)&(o&(o>c)))
|
(o&((o|(b|b))|c))
| 1 | 1 | 0 | 0 |
entailment
|
~((c|y))
|
((((y>b)>(b&y))&c)>((o&b)&w))
| 1 | 0 | 0 | 0 |
entailment
|
((o>o)&(o&(o>c)))
|
((((y>b)>(b&y))&c)>((o&b)&w))
| 0 | 0 | 0 | 0 |
not entailment
|
~((c|y))
|
(o&((o|(b|b))|c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~(((w&~(~(~(((y|o)>~(o))))))&o)))
|
(o>w)
| 1 | 1 | 1 | 0 |
entailment
|
((c|y)>b)
|
((c>y)|b)
| 1 | 1 | 1 | 0 |
entailment
|
~(~(((w&~(~(~(((y|o)>~(o))))))&o)))
|
((c>y)|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((c|y)>b)
|
(o>w)
| 0 | 1 | 0 | 0 |
not entailment
|
~((o>(o>w)))
|
((w>o)&(b>o))
| 1 | 1 | 0 | 0 |
entailment
|
(~((w&(w&o)))>((((w>o)&o)|w)&~((c|o))))
|
(y>(o>w))
| 1 | 1 | 0 | 0 |
entailment
|
~((o>(o>w)))
|
(y>(o>w))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((w&(w&o)))>((((w>o)&o)|w)&~((c|o))))
|
((w>o)&(b>o))
| 0 | 1 | 0 | 0 |
not entailment
|
~((((o&c)>(b>w))|~((b>o))))
|
(~(~(w))>~(((o>b)>y)))
| 1 | 1 | 0 | 0 |
entailment
|
((b&o)&w)
|
((c|(w>~(w)))>w)
| 1 | 0 | 0 | 0 |
entailment
|
~((((o&c)>(b>w))|~((b>o))))
|
((c|(w>~(w)))>w)
| 0 | 1 | 1 | 0 |
not entailment
|
((b&o)&w)
|
(~(~(w))>~(((o>b)>y)))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&b)
|
(y&(b&((y|o)|~(y))))
| 1 | 0 | 0 | 0 |
entailment
|
((w&c)&y)
|
(o|w)
| 1 | 1 | 0 | 0 |
entailment
|
(y&b)
|
(o|w)
| 0 | 1 | 0 | 0 |
not entailment
|
((w&c)&y)
|
(y&(b&((y|o)|~(y))))
| 0 | 0 | 0 | 0 |
not entailment
|
((~(c)|((o>b)>c))&(y>~((b>b))))
|
((o|o)|(y>~(((o>w)|y))))
| 1 | 1 | 0 | 0 |
entailment
|
(((w|w)&b)&(b&b))
|
(o|(w|~(b)))
| 1 | 1 | 0 | 0 |
entailment
|
((~(c)|((o>b)>c))&(y>~((b>b))))
|
(o|(w|~(b)))
| 0 | 1 | 0 | 0 |
not entailment
|
(((w|w)&b)&(b&b))
|
((o|o)|(y>~(((o>w)|y))))
| 0 | 0 | 0 | 0 |
not entailment
|
((w&o)&y)
|
((~((b|b))&((w|y)&(c&(y>o))))|(o|b))
| 1 | 0 | 0 | 0 |
entailment
|
((b>(b&(o|w)))>(c|c))
|
((((y>c)&y)|c)|~(~(~(o))))
| 1 | 0 | 0 | 0 |
entailment
|
((w&o)&y)
|
((((y>c)&y)|c)|~(~(~(o))))
| 0 | 0 | 0 | 0 |
not entailment
|
((b>(b&(o|w)))>(c|c))
|
((~((b|b))&((w|y)&(c&(y>o))))|(o|b))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((w|o))&y)
|
(~((((b&b)|o)|((w>(w&o))>o)))>y)
| 1 | 0 | 0 | 0 |
entailment
|
~((~(((~(c)|w)|(o|o)))|c))
|
~(c)
| 1 | 1 | 1 | 1 |
entailment
|
(~((w|o))&y)
|
~(c)
| 0 | 1 | 0 | 0 |
not entailment
|
~((~(((~(c)|w)|(o|o)))|c))
|
(~((((b&b)|o)|((w>(w&o))>o)))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
(((o|b)>(b|b))>(~(~(c))|c))
|
(((o|c)&(y>(b>b)))|y)
| 1 | 1 | 0 | 0 |
entailment
|
~(((w|((b>y)|w))>~(b)))
|
(((o|(b|w))|~(~(((c&o)&w))))|(o|(o&w)))
| 1 | 0 | 0 | 0 |
entailment
|
(((o|b)>(b|b))>(~(~(c))|c))
|
(((o|(b|w))|~(~(((c&o)&w))))|(o|(o&w)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((w|((b>y)|w))>~(b)))
|
(((o|c)&(y>(b>b)))|y)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((w|(~(c)>(c|c)))&o)>~((c>y))))
|
(o|((y|w)|((o&(o>c))&(c&y))))
| 1 | 1 | 1 | 0 |
entailment
|
~((~((w|(o>b)))|(w&(w>w))))
|
~(w)
| 1 | 1 | 1 | 1 |
entailment
|
~((((w|(~(c)>(c|c)))&o)>~((c>y))))
|
~(w)
| 0 | 1 | 1 | 0 |
not entailment
|
~((~((w|(o>b)))|(w&(w>w))))
|
(o|((y|w)|((o&(o>c))&(c&y))))
| 0 | 1 | 0 | 0 |
not entailment
|
(((w>c)&b)&(y&w))
|
(o>(y&y))
| 1 | 1 | 0 | 0 |
entailment
|
((y>~((o|(w|y))))&((w>((w&(w&o))>c))>o))
|
((w|c)>o)
| 1 | 1 | 1 | 1 |
entailment
|
(((w>c)&b)&(y&w))
|
((w|c)>o)
| 0 | 1 | 0 | 0 |
not entailment
|
((y>~((o|(w|y))))&((w>((w&(w&o))>c))>o))
|
(o>(y&y))
| 0 | 1 | 1 | 0 |
not entailment
|
~((o>c))
|
(o|((b|(b|c))&(((o|y)&(c|b))>b)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((b|y)>((((y&b)|~((o|b)))>b)&b)))
|
((y&y)&((~((b|y))>o)|c))
| 1 | 1 | 0 | 0 |
entailment
|
~((o>c))
|
((y&y)&((~((b|y))>o)|c))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((b|y)>((((y&b)|~((o|b)))>b)&b)))
|
(o|((b|(b|c))&(((o|y)&(c|b))>b)))
| 0 | 1 | 0 | 0 |
not entailment
|
((((y>c)&y)&(y|(y|c)))&w)
|
(((b&b)|o)|c)
| 1 | 1 | 0 | 0 |
entailment
|
~(o)
|
(w>(o>~(c)))
| 1 | 0 | 0 | 0 |
entailment
|
((((y>c)&y)&(y|(y|c)))&w)
|
(w>(o>~(c)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(o)
|
(((b&b)|o)|c)
| 0 | 0 | 0 | 0 |
not entailment
|
((b&b)&(((w|o)>w)>(c>(b&w))))
|
(~(~(~((o|b))))>(~(o)>c))
| 1 | 1 | 1 | 0 |
entailment
|
((y|o)|w)
|
((y&y)|(o|w))
| 1 | 0 | 1 | 1 |
entailment
|
((b&b)&(((w|o)>w)>(c>(b&w))))
|
((y&y)|(o|w))
| 0 | 1 | 0 | 0 |
not entailment
|
((y|o)|w)
|
(~(~(~((o|b))))>(~(o)>c))
| 0 | 0 | 0 | 0 |
not entailment
|
~((~((y&c))|((c>(y&o))>b)))
|
(~(~(o))|w)
| 1 | 1 | 0 | 0 |
entailment
|
(b|b)
|
((w|(b&o))|(b|b))
| 1 | 0 | 0 | 0 |
entailment
|
~((~((y&c))|((c>(y&o))>b)))
|
((w|(b&o))|(b|b))
| 0 | 1 | 0 | 0 |
not entailment
|
(b|b)
|
(~(~(o))|w)
| 0 | 0 | 0 | 0 |
not entailment
|
((((c|b)|o)|(w>b))&y)
|
~(~(y))
| 1 | 1 | 1 | 1 |
entailment
|
(o&b)
|
((((o&y)&(y&(y>o)))>(w|b))|~(o))
| 1 | 0 | 0 | 0 |
entailment
|
((((c|b)|o)|(w>b))&y)
|
((((o&y)&(y&(y>o)))>(w|b))|~(o))
| 0 | 0 | 1 | 0 |
not entailment
|
(o&b)
|
~(~(y))
| 0 | 0 | 0 | 0 |
not entailment
|
(~(y)&((~((f&~(f)))>~((~(z)&z)))>g))
|
(t|~((k&y)))
| 1 | 1 | 0 | 0 |
entailment
|
((k|y)&~((((g|y)&(v>v))>((k>v)&(z|v)))))
|
((v>y)|k)
| 1 | 1 | 1 | 1 |
entailment
|
(~(y)&((~((f&~(f)))>~((~(z)&z)))>g))
|
((v>y)|k)
| 0 | 1 | 0 | 0 |
not entailment
|
((k|y)&~((((g|y)&(v>v))>((k>v)&(z|v)))))
|
(t|~((k&y)))
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~((~(y)|k))))
|
~(~(y))
| 1 | 1 | 1 | 1 |
entailment
|
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