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&((d|g)&z)) | (~((p>y))>(((~(z)|y)|d)>(s>z))) | 1 | 0 | 0 | 0 | entailment |
(d&(g|~((~(g)&p)))) | ~((((s&(p>s))>y)&~(d))) | 1 | 0 | 0 | 0 | entailment |
(g&((d|g)&z)) | ~((((s&(p>s))>y)&~(d))) | 0 | 0 | 0 | 0 | not entailment |
(d&(g|~((~(g)&p)))) | (~((p>y))>(((~(z)|y)|d)>(s>z))) | 0 | 0 | 0 | 0 | not entailment |
(y&(((d&(y&~(z)))&s)&d)) | ((z|s)&y) | 1 | 1 | 1 | 0 | entailment |
((e&z)&(z&(q|a))) | (z|((s|p)&(((g>z)&a)|a))) | 1 | 0 | 0 | 0 | entailment |
(y&(((d&(y&~(z)))&s)&d)) | (z|((s|p)&(((g>z)&a)|a))) | 0 | 1 | 0 | 0 | not entailment |
((e&z)&(z&(q|a))) | ((z|s)&y) | 0 | 1 | 0 | 0 | not entailment |
(q&(((e>y)&z)&e)) | ((q&s)|((((~(e)&q)|(s&z))>z)&(s>~(y)))) | 1 | 0 | 0 | 0 | entailment |
~(((~(e)>g)|((~(d)>a)&((a|d)|(a|p))))) | (((d&~(a))>(s|~(y)))&(a|(g>y))) | 1 | 1 | 0 | 0 | entailment |
(q&(((e>y)&z)&e)) | (((d&~(a))>(s|~(y)))&(a|(g>y))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(e)>g)|((~(d)>a)&((a|d)|(a|p))))) | ((q&s)|((((~(e)&q)|(s&z))>z)&(s>~(y)))) | 0 | 1 | 0 | 0 | not entailment |
(d&p) | (((g&(d&z))|q)>d) | 1 | 0 | 0 | 0 | entailment |
((g&((z&~(d))&z))&~(~(~(p)))) | (~((q>z))>((~((a&g))|d)>((e|s)|y))) | 1 | 0 | 0 | 0 | entailment |
(d&p) | (~((q>z))>((~((a&g))|d)>((e|s)|y))) | 0 | 0 | 0 | 0 | not entailment |
((g&((z&~(d))&z))&~(~(~(p)))) | (((g&(d&z))|q)>d) | 0 | 1 | 0 | 0 | not entailment |
(~(((q>y)>~((d&y))))&s) | ~((~((y&(d>s)))&s)) | 1 | 1 | 1 | 0 | entailment |
~((((s>(a|(g>s)))>(d>s))>(e|z))) | ~(~((~(e)|(((g>y)|z)&p)))) | 1 | 1 | 0 | 0 | entailment |
(~(((q>y)>~((d&y))))&s) | ~(~((~(e)|(((g>y)|z)&p)))) | 0 | 0 | 0 | 0 | not entailment |
~((((s>(a|(g>s)))>(d>s))>(e|z))) | ~((~((y&(d>s)))&s)) | 0 | 1 | 0 | 0 | not entailment |
~(~((e&~((a|(z|s)))))) | ((y|(y&q))>(a>s)) | 1 | 1 | 0 | 0 | entailment |
(~(p)&g) | (((p>g)|(y>(d|(s&q))))&(g|z)) | 1 | 0 | 0 | 0 | entailment |
~(~((e&~((a|(z|s)))))) | (((p>g)|(y>(d|(s&q))))&(g|z)) | 0 | 0 | 0 | 0 | not entailment |
(~(p)&g) | ((y|(y&q))>(a>s)) | 0 | 0 | 0 | 0 | not entailment |
~((s>p)) | (p>(e>d)) | 1 | 1 | 0 | 0 | entailment |
(~(~((((p>y)>(e>a))|~((g|d)))))&a) | ((e>(q|y))>(p|(g|a))) | 1 | 1 | 0 | 0 | entailment |
~((s>p)) | ((e>(q|y))>(p|(g|a))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((((p>y)>(e>a))|~((g|d)))))&a) | (p>(e>d)) | 0 | 1 | 1 | 0 | not entailment |
(((z&e)&p)&((((q|s)>d)|((q>p)&e))>(g>g))) | ((((q&~(p))&p)|(q&(p>y)))>p) | 1 | 1 | 0 | 0 | entailment |
(~(((q>g)&g))|(p&~(((d&(s&e))|(y|p))))) | (d>(((z>~((a|q)))|d)&~((g&y)))) | 1 | 1 | 0 | 0 | entailment |
(((z&e)&p)&((((q|s)>d)|((q>p)&e))>(g>g))) | (d>(((z>~((a|q)))|d)&~((g&y)))) | 0 | 1 | 0 | 0 | not entailment |
(~(((q>g)&g))|(p&~(((d&(s&e))|(y|p))))) | ((((q&~(p))&p)|(q&(p>y)))>p) | 0 | 1 | 1 | 0 | not entailment |
~((q|(~(p)&~(p)))) | ~((~(~((~((z|d))>(a&q))))&q)) | 1 | 0 | 0 | 0 | entailment |
(~(z)&(y&(y&d))) | (~(e)|(~(y)>~((d>z)))) | 1 | 0 | 0 | 0 | entailment |
~((q|(~(p)&~(p)))) | (~(e)|(~(y)>~((d>z)))) | 0 | 0 | 0 | 0 | not entailment |
(~(z)&(y&(y&d))) | ~((~(~((~((z|d))>(a&q))))&q)) | 0 | 0 | 0 | 0 | not entailment |
((x>~((x&y)))&x) | (y>x) | 1 | 1 | 1 | 1 | entailment |
~(~((~(m)>y))) | ((x>(~(~((m&y)))|m))|~(~(y))) | 1 | 0 | 0 | 0 | entailment |
((x>~((x&y)))&x) | ((x>(~(~((m&y)))|m))|~(~(y))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(m)>y))) | (y>x) | 0 | 1 | 0 | 0 | not entailment |
(((m&x)&x)&((m>(x>(x&y)))>(y&(m>~(m))))) | ~(y) | 1 | 1 | 1 | 1 | entailment |
((((y&(y&m))&m)&(y>(y&m)))|y) | (x>y) | 1 | 1 | 0 | 0 | entailment |
(((m&x)&x)&((m>(x>(x&y)))>(y&(m>~(m))))) | (x>y) | 0 | 1 | 1 | 1 | not entailment |
((((y&(y&m))&m)&(y>(y&m)))|y) | ~(y) | 0 | 1 | 1 | 1 | not entailment |
((y&((m>x)&x))&(((m|(m|y))|~((x|y)))|x)) | (~(((m&(m&m))|~((m>x))))>((m>m)>x)) | 1 | 1 | 1 | 1 | entailment |
~(y) | (((x|~(x))>~((y&m)))|~(y)) | 1 | 0 | 0 | 0 | entailment |
((y&((m>x)&x))&(((m|(m|y))|~((x|y)))|x)) | (((x|~(x))>~((y&m)))|~(y)) | 0 | 1 | 1 | 1 | not entailment |
~(y) | (~(((m&(m&m))|~((m>x))))>((m>m)>x)) | 0 | 0 | 0 | 0 | not entailment |
((x>m)&(x>y)) | ((x|m)>((m&x)>y)) | 1 | 0 | 1 | 0 | entailment |
(((m|x)&(m&((y|m)|y)))&x) | ((((m|x)&~(y))>((m&x)|(x|(y&y))))|y) | 1 | 0 | 1 | 0 | entailment |
((x>m)&(x>y)) | ((((m|x)&~(y))>((m&x)|(x|(y&y))))|y) | 0 | 0 | 1 | 0 | not entailment |
(((m|x)&(m&((y|m)|y)))&x) | ((x|m)>((m&x)>y)) | 0 | 1 | 1 | 0 | not entailment |
((x&~(m))&((x|x)|y)) | (x|m) | 1 | 1 | 1 | 0 | entailment |
~(~(y)) | (~((~(~((x|x)))>(m&x)))>(y&x)) | 1 | 0 | 0 | 0 | entailment |
((x&~(m))&((x|x)|y)) | (~((~(~((x|x)))>(m&x)))>(y&x)) | 0 | 0 | 1 | 0 | not entailment |
~(~(y)) | (x|m) | 0 | 1 | 0 | 0 | not entailment |
(x&(y&(y|(x&x)))) | (~(~((~(y)|m)))|x) | 1 | 0 | 0 | 0 | entailment |
(((x|m)&(m>(y|x)))>(m&y)) | ((((y&x)|m)>m)|m) | 1 | 1 | 1 | 1 | entailment |
(x&(y&(y|(x&x)))) | ((((y&x)|m)>m)|m) | 0 | 1 | 0 | 0 | not entailment |
(((x|m)&(m>(y|x)))>(m&y)) | (~(~((~(y)|m)))|x) | 0 | 1 | 1 | 0 | not entailment |
(m|~(~(m))) | (y|m) | 1 | 1 | 0 | 0 | entailment |
(((~((y>y))>m)&~(m))&(y|~((y|(y|y))))) | (((m>m)>((((y|x)|x)&x)>(x>y)))|((m&x)>y)) | 1 | 1 | 0 | 0 | entailment |
(m|~(~(m))) | (((m>m)>((((y|x)|x)&x)>(x>y)))|((m&x)>y)) | 0 | 0 | 0 | 0 | not entailment |
(((~((y>y))>m)&~(m))&(y|~((y|(y|y))))) | (y|m) | 0 | 1 | 1 | 1 | not entailment |
((y>~(x))>(~(y)&y)) | ((((x>m)>~((y>x)))>y)&((y&y)|(x&y))) | 1 | 0 | 0 | 0 | entailment |
(((y|x)>(x&m))&x) | ((m&x)&(y|((m|y)|y))) | 1 | 0 | 1 | 0 | entailment |
((y>~(x))>(~(y)&y)) | ((m&x)&(y|((m|y)|y))) | 0 | 1 | 0 | 0 | not entailment |
(((y|x)>(x&m))&x) | ((((x>m)>~((y>x)))>y)&((y&y)|(x&y))) | 0 | 0 | 1 | 0 | not entailment |
~((((x|m)&y)|~(~(x)))) | ((x>m)|y) | 1 | 1 | 1 | 0 | entailment |
~(((x&m)|m)) | ~((((m&m)>x)>((x>m)&(m|x)))) | 1 | 0 | 1 | 0 | entailment |
~((((x|m)&y)|~(~(x)))) | ~((((m&m)>x)>((x>m)&(m|x)))) | 0 | 0 | 1 | 0 | not entailment |
~(((x&m)|m)) | ((x>m)|y) | 0 | 1 | 0 | 0 | not entailment |
((((x|y)&~(m))|x)|(x&x)) | (x|~(~(y))) | 1 | 1 | 1 | 1 | entailment |
(m&(((y|m)|(~(m)>y))>m)) | (m&m) | 1 | 1 | 1 | 1 | entailment |
((((x|y)&~(m))|x)|(x&x)) | (m&m) | 0 | 1 | 1 | 0 | not entailment |
(m&(((y|m)|(~(m)>y))>m)) | (x|~(~(y))) | 0 | 1 | 0 | 0 | not entailment |
~(((y|y)>((y&x)|(x|(x|m))))) | (x>(((y>m)&m)&((~(x)>m)&(x|m)))) | 1 | 0 | 1 | 0 | entailment |
((x|m)|(~(x)>x)) | ((m|((m|((y>x)&x))|m))|m) | 1 | 0 | 0 | 0 | entailment |
~(((y|y)>((y&x)|(x|(x|m))))) | ((m|((m|((y>x)&x))|m))|m) | 0 | 1 | 1 | 0 | not entailment |
((x|m)|(~(x)>x)) | (x>(((y>m)&m)&((~(x)>m)&(x|m)))) | 0 | 0 | 0 | 0 | not entailment |
(y|y) | ((x>x)&~((~(y)&m))) | 1 | 0 | 0 | 0 | entailment |
~(((m&(y&y))&y)) | ~(~(((~((x|m))&x)|((m&y)>x)))) | 1 | 0 | 0 | 0 | entailment |
(y|y) | ~(~(((~((x|m))&x)|((m&y)>x)))) | 0 | 0 | 0 | 0 | not entailment |
~(((m&(y&y))&y)) | ((x>x)&~((~(y)&m))) | 0 | 0 | 0 | 0 | not entailment |
~(((y>(y>m))>(m|x))) | (((x&x)>m)|m) | 1 | 1 | 1 | 1 | entailment |
(x|(~(y)>(((m|m)&~(y))&~((y>y))))) | (y|(~(y)&x)) | 1 | 1 | 1 | 1 | entailment |
~(((y>(y>m))>(m|x))) | (y|(~(y)&x)) | 0 | 1 | 1 | 0 | not entailment |
(x|(~(y)>(((m|m)&~(y))&~((y>y))))) | (((x&x)>m)|m) | 0 | 1 | 1 | 0 | not entailment |
(~(w)>w) | (~((t|t))|w) | 1 | 0 | 0 | 0 | entailment |
((((u|u)>(w&(u&w)))|t)>~((u>(w&u)))) | (~(w)|((u&u)|~((~((w&t))>(u&u))))) | 1 | 1 | 1 | 1 | entailment |
(~(w)>w) | (~(w)|((u&u)|~((~((w&t))>(u&u))))) | 0 | 0 | 0 | 0 | not entailment |
((((u|u)>(w&(u&w)))|t)>~((u>(w&u)))) | (~((t|t))|w) | 0 | 1 | 1 | 0 | not entailment |
(~(~(t))&t) | (w|(t|u)) | 1 | 1 | 0 | 0 | entailment |
((t|(~((t&t))>t))>~((u|t))) | (((t|~(~(t)))>~(~(w)))|(u>((w>u)&w))) | 1 | 0 | 0 | 0 | entailment |
(~(~(t))&t) | (((t|~(~(t)))>~(~(w)))|(u>((w>u)&w))) | 0 | 0 | 0 | 0 | not entailment |
((t|(~((t&t))>t))>~((u|t))) | (w|(t|u)) | 0 | 1 | 0 | 0 | not entailment |
(u&~(w)) | (u|u) | 1 | 1 | 1 | 1 | entailment |
(t&(t&w)) | ((t>~(t))>w) | 1 | 0 | 1 | 1 | entailment |
(u&~(w)) | ((t>~(t))>w) | 0 | 0 | 0 | 0 | not entailment |
(t&(t&w)) | (u|u) | 0 | 1 | 0 | 0 | not entailment |
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