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 |
---|---|---|---|---|---|---|
(~(((c&h)>i))&((~(c)>(i|(c&(z&y))))>z)) | ((e>(~(z)&((y&d)&~(c))))>((y>w)|d)) | 0 | 1 | 0 | 0 | not entailment |
~((e>(o>y))) | (d>z) | 0 | 1 | 0 | 0 | not entailment |
~((~((~(d)&h))>(e>~(o)))) | ((((e>w)|~((~(o)|h)))>(e>z))|((o|d)|c)) | 1 | 0 | 0 | 0 | entailment |
~(y) | (~(y)|(o&i)) | 1 | 0 | 0 | 0 | entailment |
~((~((~(d)&h))>(e>~(o)))) | (~(y)|(o&i)) | 0 | 1 | 0 | 0 | not entailment |
~(y) | ((((e>w)|~((~(o)|h)))>(e>z))|((o|d)|c)) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&z) | ((d&(y&~((~((e&e))&i))))>h) | 1 | 0 | 0 | 0 | entailment |
~((((o>y)>~(e))|o)) | (~(~(((h&(o&~(e)))&((d&w)>z))))>i) | 1 | 0 | 0 | 0 | entailment |
(~(y)&z) | (~(~(((h&(o&~(e)))&((d&w)>z))))>i) | 0 | 0 | 0 | 0 | not entailment |
~((((o>y)>~(e))|o)) | ((d&(y&~((~((e&e))&i))))>h) | 0 | 0 | 0 | 0 | not entailment |
((~(((i>c)|(c>i)))>(i&((z&e)|w)))>w) | (((y|(w>i))>((y|o)&c))>w) | 1 | 1 | 0 | 0 | entailment |
((~(((~(w)&i)>w))&i)|((d>(h&h))&c)) | ((i|(d>i))|h) | 1 | 1 | 1 | 1 | entailment |
((~(((i>c)|(c>i)))>(i&((z&e)|w)))>w) | ((i|(d>i))|h) | 0 | 1 | 0 | 0 | not entailment |
((~(((~(w)&i)>w))&i)|((d>(h&h))&c)) | (((y|(w>i))>((y|o)&c))>w) | 0 | 1 | 0 | 0 | not entailment |
((y&((((c>(o&y))|w)|e)>c))&h) | (((d|w)|w)>y) | 1 | 1 | 0 | 0 | entailment |
(o&(i&(w&d))) | (((c>~((z|i)))&~(i))>((o&o)>(e&(h|y)))) | 1 | 0 | 0 | 0 | entailment |
((y&((((c>(o&y))|w)|e)>c))&h) | (((c>~((z|i)))&~(i))>((o&o)>(e&(h|y)))) | 0 | 0 | 0 | 0 | not entailment |
(o&(i&(w&d))) | (((d|w)|w)>y) | 0 | 1 | 0 | 0 | not entailment |
~((e|(((d>h)|h)>((i&(w&z))|i)))) | ((w&y)>((e&(w&z))>((z>c)&c))) | 1 | 1 | 0 | 0 | entailment |
((h&h)&z) | ~(~((c|((~((c|z))>c)|(w>h))))) | 1 | 0 | 0 | 0 | entailment |
~((e|(((d>h)|h)>((i&(w&z))|i)))) | ~(~((c|((~((c|z))>c)|(w>h))))) | 0 | 1 | 0 | 0 | not entailment |
((h&h)&z) | ((w&y)>((e&(w&z))>((z>c)&c))) | 0 | 0 | 0 | 0 | not entailment |
~(((z>h)>i)) | ~((((z&~(y))|(z>y))&(((w>h)&i)&y))) | 1 | 0 | 0 | 0 | entailment |
(~((~((i&(w>(c&z))))|~(h)))&(w&z)) | ((i&(w|w))&(i&(i|w))) | 1 | 1 | 1 | 1 | entailment |
~(((z>h)>i)) | ((i&(w|w))&(i&(i|w))) | 0 | 0 | 0 | 0 | not entailment |
(~((~((i&(w>(c&z))))|~(h)))&(w&z)) | ~((((z&~(y))|(z>y))&(((w>h)&i)&y))) | 0 | 1 | 0 | 0 | not entailment |
((o&~(y))&w) | (~(w)>~(e)) | 1 | 1 | 0 | 0 | entailment |
(c&z) | (~((c>~((z|o))))|c) | 1 | 0 | 0 | 0 | entailment |
((o&~(y))&w) | (~((c>~((z|o))))|c) | 0 | 0 | 0 | 0 | not entailment |
(c&z) | (~(w)>~(e)) | 0 | 0 | 0 | 0 | not entailment |
((w&c)&(e>d)) | ((w|(z>h))|y) | 1 | 1 | 0 | 0 | entailment |
~(~((o&((d&e)&((z>c)|(e>d)))))) | ((y>~(z))|(o&~(~(d)))) | 1 | 1 | 0 | 0 | entailment |
((w&c)&(e>d)) | ((y>~(z))|(o&~(~(d)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((o&((d&e)&((z>c)|(e>d)))))) | ((w|(z>h))|y) | 0 | 1 | 0 | 0 | not entailment |
(d&~((o&c))) | (d|w) | 1 | 1 | 0 | 0 | entailment |
~((w|(~((d|w))>w))) | (w>h) | 1 | 1 | 0 | 0 | entailment |
(d&~((o&c))) | (w>h) | 0 | 1 | 0 | 0 | not entailment |
~((w|(~((d|w))>w))) | (d|w) | 0 | 1 | 1 | 0 | not entailment |
(c&(d&i)) | (c|(o|i)) | 1 | 1 | 0 | 0 | entailment |
~((h|(((w&(z>(o&d)))|(~(~(d))&o))|i))) | ((i|(d&(d>o)))>z) | 1 | 1 | 1 | 0 | entailment |
(c&(d&i)) | ((i|(d&(d>o)))>z) | 0 | 0 | 0 | 0 | not entailment |
~((h|(((w&(z>(o&d)))|(~(~(d))&o))|i))) | (c|(o|i)) | 0 | 1 | 0 | 0 | not entailment |
(((y|d)&~(d))&e) | ~(d) | 1 | 1 | 1 | 1 | entailment |
~((((d>y)&d)>w)) | ((e&(o&h))>(c>((y&e)&d))) | 1 | 0 | 0 | 0 | entailment |
(((y|d)&~(d))&e) | ((e&(o&h))>(c>((y&e)&d))) | 0 | 0 | 0 | 0 | not entailment |
~((((d>y)&d)>w)) | ~(d) | 0 | 1 | 1 | 1 | not entailment |
~((d|(c&z))) | (d>o) | 1 | 1 | 0 | 0 | entailment |
(~(i)&z) | (((z|i)&(c|e))|z) | 1 | 0 | 0 | 0 | entailment |
~((d|(c&z))) | (((z|i)&(c|e))|z) | 0 | 0 | 0 | 0 | not entailment |
(~(i)&z) | (d>o) | 0 | 1 | 0 | 0 | not entailment |
(~((((o|o)|(a|j))>u))&((j|(v|k))&a)) | (((j>u)>((o|v)&((v|o)&m)))>(u|a)) | 1 | 1 | 0 | 0 | entailment |
((v&((m&k)&v))&((k|o)>j)) | ((((v&u)&~(j))|((k&u)|j))&v) | 1 | 0 | 0 | 0 | entailment |
(~((((o|o)|(a|j))>u))&((j|(v|k))&a)) | ((((v&u)&~(j))|((k&u)|j))&v) | 0 | 1 | 1 | 0 | not entailment |
((v&((m&k)&v))&((k|o)>j)) | (((j>u)>((o|v)&((v|o)&m)))>(u|a)) | 0 | 0 | 0 | 0 | not entailment |
(~(o)&(~(((m>((a>m)|v))|u))|u)) | ((a|(((k&~(k))|a)&v))|(o>k)) | 1 | 1 | 0 | 0 | entailment |
(~(((a&(o&k))|((u|~(o))>a)))&~(m)) | (~((u|o))|(m>(u>((a|(~(v)|u))>o)))) | 1 | 1 | 0 | 0 | entailment |
(~(o)&(~(((m>((a>m)|v))|u))|u)) | (~((u|o))|(m>(u>((a|(~(v)|u))>o)))) | 0 | 0 | 1 | 0 | not entailment |
(~(((a&(o&k))|((u|~(o))>a)))&~(m)) | ((a|(((k&~(k))|a)&v))|(o>k)) | 0 | 1 | 0 | 0 | not entailment |
(((a&a)&v)&m) | (m&m) | 1 | 1 | 1 | 1 | entailment |
(~((v&v))&(~(((v>m)>o))&~((a|k)))) | ~(((v&o)&((o>m)|k))) | 1 | 1 | 1 | 0 | entailment |
(((a&a)&v)&m) | ~(((v&o)&((o>m)|k))) | 0 | 0 | 0 | 0 | not entailment |
(~((v&v))&(~(((v>m)>o))&~((a|k)))) | (m&m) | 0 | 1 | 1 | 1 | not entailment |
(j&m) | (j|(k>((u&(a|m))&~(o)))) | 1 | 0 | 0 | 0 | entailment |
(k&m) | (u>(((a&j)&k)|k)) | 1 | 0 | 0 | 0 | entailment |
(j&m) | (u>(((a&j)&k)|k)) | 0 | 0 | 0 | 0 | not entailment |
(k&m) | (j|(k>((u&(a|m))&~(o)))) | 0 | 0 | 0 | 0 | not entailment |
(u&~((j|((o|m)&~(k))))) | ~((~((m|o))&((~(u)|m)&k))) | 1 | 0 | 1 | 0 | entailment |
((o|(o>u))&((k|(a>j))&(j&(o|(j&k))))) | (((((u|~(u))&a)|~(o))|(u|o))&((a>a)>j)) | 1 | 0 | 1 | 0 | entailment |
(u&~((j|((o|m)&~(k))))) | (((((u|~(u))&a)|~(o))|(u|o))&((a>a)>j)) | 0 | 0 | 0 | 0 | not entailment |
((o|(o>u))&((k|(a>j))&(j&(o|(j&k))))) | ~((~((m|o))&((~(u)|m)&k))) | 0 | 1 | 0 | 0 | not entailment |
~(((j>~(a))|v)) | (((j&j)&k)|(u|j)) | 1 | 1 | 0 | 0 | entailment |
~(~((~(u)&(((j|k)>((j|u)&u))>j)))) | (((k|~(u))|~(j))|k) | 1 | 1 | 1 | 1 | entailment |
~(((j>~(a))|v)) | (((k|~(u))|~(j))|k) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(u)&(((j|k)>((j|u)&u))>j)))) | (((j&j)&k)|(u|j)) | 0 | 1 | 1 | 0 | not entailment |
(a|o) | (u|((o>~(o))>(a|a))) | 1 | 0 | 0 | 0 | entailment |
~((((a&j)&(((u>v)&(u&o))|a))|(v>(k>a)))) | (v|a) | 1 | 1 | 1 | 0 | entailment |
(a|o) | (v|a) | 0 | 1 | 0 | 0 | not entailment |
~((((a&j)&(((u>v)&(u&o))|a))|(v>(k>a)))) | (u|((o>~(o))>(a|a))) | 0 | 1 | 1 | 0 | not entailment |
((a&u)&(((o&(~(j)|u))&k)&v)) | ((~(j)>(k|(a|(a|m))))|v) | 1 | 1 | 0 | 0 | entailment |
((m&m)|~(o)) | ((~(((a|o)>(o>(u>m))))&v)>~(a)) | 1 | 0 | 0 | 0 | entailment |
((a&u)&(((o&(~(j)|u))&k)&v)) | ((~(((a|o)>(o>(u>m))))&v)>~(a)) | 0 | 0 | 0 | 0 | not entailment |
((m&m)|~(o)) | ((~(j)>(k|(a|(a|m))))|v) | 0 | 0 | 0 | 0 | not entailment |
~(k) | ((k|o)>(~(o)>m)) | 1 | 0 | 0 | 0 | entailment |
~(~(u)) | (((a|u)>m)>m) | 1 | 0 | 0 | 0 | entailment |
~(k) | (((a|u)>m)>m) | 0 | 0 | 0 | 0 | not entailment |
~(~(u)) | ((k|o)>(~(o)>m)) | 0 | 0 | 0 | 0 | not entailment |
((m|m)&~((j|k))) | ~(j) | 1 | 1 | 1 | 1 | entailment |
~((v>((~(u)>~(o))&~(k)))) | ((a|(~(v)&((m&k)&v)))|(u>k)) | 1 | 1 | 0 | 0 | entailment |
((m|m)&~((j|k))) | ((a|(~(v)&((m&k)&v)))|(u>k)) | 0 | 0 | 0 | 0 | not entailment |
~((v>((~(u)>~(o))&~(k)))) | ~(j) | 0 | 1 | 0 | 0 | not entailment |
(~((k|~(o)))&a) | ((~(~(a))|(v|(o|u)))|(v|u)) | 1 | 0 | 0 | 0 | entailment |
(~(v)&k) | (k|j) | 1 | 1 | 0 | 0 | entailment |
(~((k|~(o)))&a) | (k|j) | 0 | 1 | 0 | 0 | not entailment |
(~(v)&k) | ((~(~(a))|(v|(o|u)))|(v|u)) | 0 | 0 | 0 | 0 | not entailment |
~(((j>m)>(m|v))) | ~((~(~(~((v&(o>(m&u))))))&j)) | 1 | 0 | 0 | 0 | entailment |
~((j>v)) | ((v|m)|(j&((m&m)>(o|~(j))))) | 1 | 0 | 0 | 0 | entailment |
~(((j>m)>(m|v))) | ((v|m)|(j&((m&m)>(o|~(j))))) | 0 | 0 | 0 | 0 | not entailment |
~((j>v)) | ~((~(~(~((v&(o>(m&u))))))&j)) | 0 | 0 | 0 | 0 | not entailment |
(m&~((m&j))) | ~(j) | 1 | 1 | 1 | 1 | entailment |
~(~((~(m)&(o|~(j))))) | ((m>a)|a) | 1 | 1 | 0 | 0 | entailment |
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