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 |
|---|---|---|---|---|---|---|
~(((o>(w>w))&(~(h)|~((u&x))))) | (~((x>(w>l)))|(x>~(u))) | 0 | 1 | 0 | 0 | not entailment |
~(((u|(m|(e&o)))|o)) | ((u|h)>((x|l)|(u&(x>e)))) | 0 | 0 | 0 | 0 | not entailment |
(~((e&e))&(x&(h>x))) | (~((m>~(e)))>~(~((x|o)))) | 1 | 0 | 0 | 0 | entailment |
~(((x|o)|(h&m))) | (o>l) | 1 | 1 | 0 | 0 | entailment |
(~((e&e))&(x&(h>x))) | (o>l) | 0 | 1 | 0 | 0 | not entailment |
~(((x|o)|(h&m))) | (~((m>~(e)))>~(~((x|o)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(~(e)))>x)) | ((x>(u&(e>h)))|(((m&x)&m)|(o>h))) | 1 | 0 | 0 | 0 | entailment |
~((l|w)) | ((w>(w>u))|((((u&e)|m)&u)|~((h>l)))) | 1 | 0 | 0 | 0 | entailment |
~((~(~(~(e)))>x)) | ((w>(w>u))|((((u&e)|m)&u)|~((h>l)))) | 0 | 0 | 0 | 0 | not entailment |
~((l|w)) | ((x>(u&(e>h)))|(((m&x)&m)|(o>h))) | 0 | 0 | 0 | 0 | not entailment |
((m&e)&(h>~(h))) | (o>(l|m)) | 1 | 1 | 0 | 0 | entailment |
(o>h) | ((o>h)|(x>w)) | 1 | 0 | 0 | 0 | entailment |
((m&e)&(h>~(h))) | ((o>h)|(x>w)) | 0 | 1 | 0 | 0 | not entailment |
(o>h) | (o>(l|m)) | 0 | 0 | 0 | 0 | not entailment |
((w&(e&w))&(((x&e)>((h>x)|e))&x)) | (e&(x>x)) | 1 | 1 | 1 | 1 | entailment |
((~(w)&l)&(o>(h|~(u)))) | ~(w) | 1 | 1 | 1 | 1 | entailment |
((w&(e&w))&(((x&e)>((h>x)|e))&x)) | ~(w) | 0 | 1 | 1 | 0 | not entailment |
((~(w)&l)&(o>(h|~(u)))) | (e&(x>x)) | 0 | 1 | 0 | 0 | not entailment |
(((m|o)&(o|e))&x) | (~((m|~(o)))|(~(w)>(l>m))) | 1 | 0 | 0 | 0 | entailment |
~(h) | (u|(~(~((~(h)|(x&e))))&~(h))) | 1 | 0 | 0 | 0 | entailment |
(((m|o)&(o|e))&x) | (u|(~(~((~(h)|(x&e))))&~(h))) | 0 | 0 | 0 | 0 | not entailment |
~(h) | (~((m|~(o)))|(~(w)>(l>m))) | 0 | 0 | 0 | 0 | not entailment |
((e&w)&(h|~((x|h)))) | (o>(x>e)) | 1 | 1 | 0 | 0 | entailment |
(x&u) | (x|(~(~(~(~(h))))|u)) | 1 | 0 | 0 | 0 | entailment |
((e&w)&(h|~((x|h)))) | (x|(~(~(~(~(h))))|u)) | 0 | 0 | 0 | 0 | not entailment |
(x&u) | (o>(x>e)) | 0 | 0 | 0 | 0 | not entailment |
((e&u)&((x>x)&o)) | ((e|h)|(((h&x)&u)&x)) | 1 | 0 | 0 | 0 | entailment |
(~((((l>l)>(o>e))|h))&((o&~(h))>(x|w))) | ((m&u)>~(((w>e)&((h|o)&w)))) | 1 | 1 | 0 | 0 | entailment |
((e&u)&((x>x)&o)) | ((m&u)>~(((w>e)&((h|o)&w)))) | 0 | 0 | 0 | 0 | not entailment |
(~((((l>l)>(o>e))|h))&((o&~(h))>(x|w))) | ((e|h)|(((h&x)&u)&x)) | 0 | 1 | 0 | 0 | not entailment |
((((q>a)>b)>z)&b) | (a|z) | 1 | 1 | 1 | 1 | entailment |
(((a>z)>((c|i)&k))&(k&~((i>((t|q)|h))))) | (k|(h&z)) | 1 | 1 | 1 | 0 | entailment |
((((q>a)>b)>z)&b) | (k|(h&z)) | 0 | 1 | 0 | 0 | not entailment |
(((a>z)>((c|i)&k))&(k&~((i>((t|q)|h))))) | (a|z) | 0 | 1 | 1 | 0 | not entailment |
~(~(((t&~((((z>a)&k)|k)))&~(c)))) | ((h&z)>((t|i)|a)) | 1 | 1 | 0 | 0 | entailment |
~((k>(b&(d>i)))) | ~(~(~((~(k)&(t|((a|(i|b))&b)))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((t&~((((z>a)&k)|k)))&~(c)))) | ~(~(~((~(k)&(t|((a|(i|b))&b)))))) | 0 | 1 | 0 | 0 | not entailment |
~((k>(b&(d>i)))) | ((h&z)>((t|i)|a)) | 0 | 1 | 0 | 0 | not entailment |
~(((((d&z)&(a>z))&(a>(i|i)))|~(z))) | (~(((q|c)>q))|(a|z)) | 1 | 1 | 0 | 0 | entailment |
((~(((((h|t)|c)>((z>b)>a))>i))|k)&i) | ((t|i)|(b|(c&~(a)))) | 1 | 1 | 1 | 0 | entailment |
~(((((d&z)&(a>z))&(a>(i|i)))|~(z))) | ((t|i)|(b|(c&~(a)))) | 0 | 1 | 0 | 0 | not entailment |
((~(((((h|t)|c)>((z>b)>a))>i))|k)&i) | (~(((q|c)>q))|(a|z)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(c)&z)|c)) | ((t|a)|~(c)) | 1 | 1 | 0 | 0 | entailment |
(b&(i&k)) | ((k|d)&i) | 1 | 1 | 0 | 0 | entailment |
~(((~(c)&z)|c)) | ((k|d)&i) | 0 | 1 | 0 | 0 | not entailment |
(b&(i&k)) | ((t|a)|~(c)) | 0 | 0 | 0 | 0 | not entailment |
((q&k)&(((q>c)>h)&a)) | (~(k)>((d|d)>((~((z>h))|q)&(k&(t&d))))) | 1 | 0 | 0 | 0 | entailment |
((b|t)&~(z)) | (b|(z>h)) | 1 | 1 | 0 | 0 | entailment |
((q&k)&(((q>c)>h)&a)) | (b|(z>h)) | 0 | 1 | 0 | 0 | not entailment |
((b|t)&~(z)) | (~(k)>((d|d)>((~((z>h))|q)&(k&(t&d))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((h&t)&((k&b)&~(z))))) | ~((h>~(((((k>b)>~(b))&a)|t)))) | 1 | 0 | 0 | 0 | entailment |
~((k&((~(h)>i)|k))) | ~(k) | 1 | 1 | 1 | 1 | entailment |
~(~(((h&t)&((k&b)&~(z))))) | ~(k) | 0 | 1 | 1 | 0 | not entailment |
~((k&((~(h)>i)|k))) | ~((h>~(((((k>b)>~(b))&a)|t)))) | 0 | 0 | 0 | 0 | not entailment |
~(h) | (h>(~(q)&(((t|z)|(d|b))>d))) | 1 | 0 | 0 | 0 | entailment |
~(((~(~((q&q)))>(b&i))|~(t))) | (((c|d)>~((k>(h&a))))|t) | 1 | 1 | 0 | 0 | entailment |
~(h) | (((c|d)>~((k>(h&a))))|t) | 0 | 0 | 0 | 0 | not entailment |
~(((~(~((q&q)))>(b&i))|~(t))) | (h>(~(q)&(((t|z)|(d|b))>d))) | 0 | 1 | 0 | 0 | not entailment |
~(((z|((q>(d>k))>(q|(z|h))))>h)) | ((k&h)>(q&h)) | 1 | 1 | 1 | 1 | entailment |
(~(i)&~(~((b&d)))) | (~(h)>((((k&a)|t)&(q>~(d)))|(z>b))) | 1 | 0 | 0 | 0 | entailment |
~(((z|((q>(d>k))>(q|(z|h))))>h)) | (~(h)>((((k&a)|t)&(q>~(d)))|(z>b))) | 0 | 0 | 0 | 0 | not entailment |
(~(i)&~(~((b&d)))) | ((k&h)>(q&h)) | 0 | 1 | 0 | 0 | not entailment |
(d&(((~(((d|k)|(t>i)))>t)>~((h>b)))&q)) | ((d&d)|~((~(h)&~(((d>a)&(c&(b&z))))))) | 1 | 1 | 0 | 0 | entailment |
~((a>c)) | ~((~(a)&~(~(~(~(((c|z)>~(b)))))))) | 1 | 0 | 0 | 0 | entailment |
(d&(((~(((d|k)|(t>i)))>t)>~((h>b)))&q)) | ~((~(a)&~(~(~(~(((c|z)>~(b)))))))) | 0 | 1 | 0 | 0 | not entailment |
~((a>c)) | ((d&d)|~((~(h)&~(((d>a)&(c&(b&z))))))) | 0 | 0 | 0 | 0 | not entailment |
~(((q>((c&(a&b))>z))|~(q))) | (z>((t&b)>(t&~(h)))) | 1 | 1 | 0 | 0 | entailment |
(z&(i|b)) | (z|(~((k|~((q|k))))&t)) | 1 | 0 | 0 | 0 | entailment |
~(((q>((c&(a&b))>z))|~(q))) | (z|(~((k|~((q|k))))&t)) | 0 | 1 | 0 | 0 | not entailment |
(z&(i|b)) | (z>((t&b)>(t&~(h)))) | 0 | 0 | 0 | 0 | not entailment |
((q|(c>i))&((h|h)>a)) | (((i>a)|(h&(b>z)))|(h>((b&(d|c))>(k&b)))) | 1 | 0 | 0 | 0 | entailment |
(d&i) | (~(i)>h) | 1 | 0 | 0 | 0 | entailment |
((q|(c>i))&((h|h)>a)) | (~(i)>h) | 0 | 1 | 1 | 0 | not entailment |
(d&i) | (((i>a)|(h&(b>z)))|(h>((b&(d|c))>(k&b)))) | 0 | 0 | 0 | 0 | not entailment |
~((((a&a)>(k&~(c)))|b)) | ((((t>(t|b))>(a|~(~(d))))|z)|(c|q)) | 1 | 0 | 0 | 0 | entailment |
~((i>~(((k&t)>((a&(i&d))|t))))) | (~(((h>(c>i))&(i&i)))>~(~(z))) | 1 | 1 | 0 | 0 | entailment |
~((((a&a)>(k&~(c)))|b)) | (~(((h>(c>i))&(i&i)))>~(~(z))) | 0 | 0 | 0 | 0 | not entailment |
~((i>~(((k&t)>((a&(i&d))|t))))) | ((((t>(t|b))>(a|~(~(d))))|z)|(c|q)) | 0 | 0 | 0 | 0 | not entailment |
(h&(i&z)) | (t>i) | 1 | 1 | 0 | 0 | entailment |
(((k|(c|b))>(~(a)&~(k)))&h) | ((((d|c)&k)>(z|(q>c)))>(((b&a)&t)>d)) | 1 | 0 | 0 | 0 | entailment |
(h&(i&z)) | ((((d|c)&k)>(z|(q>c)))>(((b&a)&t)>d)) | 0 | 0 | 0 | 0 | not entailment |
(((k|(c|b))>(~(a)&~(k)))&h) | (t>i) | 0 | 1 | 0 | 0 | not entailment |
(~((z>t))&((d|i)&(z|h))) | (b|(i|z)) | 1 | 1 | 0 | 0 | entailment |
((q&(~(c)&((d|t)|t)))&d) | ((h|h)>(q&((~(i)>h)&q))) | 1 | 1 | 0 | 0 | entailment |
(~((z>t))&((d|i)&(z|h))) | ((h|h)>(q&((~(i)>h)&q))) | 0 | 1 | 0 | 0 | not entailment |
((q&(~(c)&((d|t)|t)))&d) | (b|(i|z)) | 0 | 1 | 0 | 0 | not entailment |
~((((q&k)>(q>z))>(i>((q&c)|h)))) | ~(~(~(((i&(h|(d&q)))&(d>h))))) | 1 | 1 | 0 | 0 | entailment |
~(((k&z)>(((a>a)&(d|i))>~(a)))) | ((((a&a)&(b&h))>b)&(c>(c&(~((d&a))>a)))) | 1 | 0 | 0 | 0 | entailment |
~((((q&k)>(q>z))>(i>((q&c)|h)))) | ((((a&a)&(b&h))>b)&(c>(c&(~((d&a))>a)))) | 0 | 0 | 0 | 0 | not entailment |
~(((k&z)>(((a>a)&(d|i))>~(a)))) | ~(~(~(((i&(h|(d&q)))&(d>h))))) | 0 | 1 | 0 | 0 | not entailment |
((d|q)&((~(z)&(k|c))>(z&(q>((d>d)|a))))) | (((z|((t&a)&c))|q)>(q|(t>d))) | 1 | 1 | 0 | 0 | entailment |
(i&z) | (z|i) | 1 | 1 | 1 | 1 | entailment |
((d|q)&((~(z)&(k|c))>(z&(q>((d>d)|a))))) | (z|i) | 0 | 1 | 0 | 0 | not entailment |
(i&z) | (((z|((t&a)&c))|q)>(q|(t>d))) | 0 | 0 | 0 | 0 | not entailment |
((i&(t>k))&(a&(((z&z)&c)&d))) | (c>((~(k)&t)>a)) | 1 | 1 | 1 | 0 | entailment |
(((a|a)&(a|t))>~((a>(i|h)))) | (((i|a)>a)>((~((z>k))|b)>~(~(~(i))))) | 1 | 0 | 0 | 0 | entailment |
((i&(t>k))&(a&(((z&z)&c)&d))) | (((i|a)>a)>((~((z>k))|b)>~(~(~(i))))) | 0 | 0 | 0 | 0 | not entailment |
(((a|a)&(a|t))>~((a>(i|h)))) | (c>((~(k)&t)>a)) | 0 | 1 | 0 | 0 | not entailment |
~((j>~(d))) | (~(j)|d) | 1 | 1 | 1 | 0 | entailment |
~((((d|(j|d))|~((j&j)))&(j>d))) | (d>((d&d)>~((j&j)))) | 1 | 1 | 1 | 1 | entailment |
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