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 |
|---|---|---|---|---|---|---|
((m>a)&(~(j)&m)) | ((~(m)|~((m>(t&a))))>(~(p)>~(~(j)))) | 0 | 0 | 0 | 0 | not entailment |
(j&(p>(r>p))) | (~((((~(j)|a)|t)>(j>p)))>(a&p)) | 0 | 0 | 0 | 0 | not entailment |
((m&a)&r) | ~((a>~(((((t>r)|t)&(~(m)>~(m)))|a)))) | 1 | 0 | 0 | 0 | entailment |
((~(j)&p)&~((r>j))) | ~(~((p|~((j>j))))) | 1 | 1 | 1 | 0 | entailment |
((m&a)&r) | ~(~((p|~((j>j))))) | 0 | 0 | 0 | 0 | not entailment |
((~(j)&p)&~((r>j))) | ~((a>~(((((t>r)|t)&(~(m)>~(m)))|a)))) | 0 | 0 | 0 | 0 | not entailment |
(t&(((((r&t)&t)|(p>m))&m)&t)) | ((((j|t)|m)|(r&t))|((~(a)&(t>a))|(r|t))) | 1 | 0 | 0 | 0 | entailment |
~(~(~((~(p)>t)))) | ~((((t>t)>(p>~((j|(m|j)))))>t)) | 1 | 0 | 0 | 0 | entailment |
(t&(((((r&t)&t)|(p>m))&m)&t)) | ~((((t>t)>(p>~((j|(m|j)))))>t)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((~(p)>t)))) | ((((j|t)|m)|(r&t))|((~(a)&(t>a))|(r|t))) | 0 | 0 | 0 | 0 | not entailment |
(r&(r&(r&r))) | (a>(t|~(~((r|m))))) | 1 | 0 | 0 | 0 | entailment |
((a&p)&~(((m&~(a))|(m|(j|t))))) | (~((p>j))|p) | 1 | 1 | 1 | 1 | entailment |
(r&(r&(r&r))) | (~((p>j))|p) | 0 | 1 | 0 | 0 | not entailment |
((a&p)&~(((m&~(a))|(m|(j|t))))) | (a>(t|~(~((r|m))))) | 0 | 1 | 0 | 0 | not entailment |
(m&~(r)) | (r|((a|m)|(t&(~(j)&p)))) | 1 | 0 | 0 | 0 | entailment |
((t|t)&t) | (a|((r|p)>(a|(t|r)))) | 1 | 0 | 0 | 0 | entailment |
(m&~(r)) | (a|((r|p)>(a|(t|r)))) | 0 | 0 | 0 | 0 | not entailment |
((t|t)&t) | (r|((a|m)|(t&(~(j)&p)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((p|t)|(r>(t|j)))))) | ~(j) | 1 | 1 | 1 | 1 | entailment |
(j&(p&m)) | (((~(~(p))&m)>p)&p) | 1 | 0 | 1 | 0 | entailment |
~(~(~(((p|t)|(r>(t|j)))))) | (((~(~(p))&m)>p)&p) | 0 | 1 | 0 | 0 | not entailment |
(j&(p&m)) | ~(j) | 0 | 1 | 1 | 0 | not entailment |
(((p|~(r))&~((r>a)))&((~((j|m))|p)>r)) | (~(~(p))|(a>r)) | 1 | 1 | 1 | 1 | entailment |
~(~(((~(r)&a)&((t>a)|((t>a)&p))))) | (m>a) | 1 | 1 | 0 | 0 | entailment |
(((p|~(r))&~((r>a)))&((~((j|m))|p)>r)) | (m>a) | 0 | 1 | 1 | 0 | not entailment |
~(~(((~(r)&a)&((t>a)|((t>a)&p))))) | (~(~(p))|(a>r)) | 0 | 1 | 1 | 0 | not entailment |
(m&((a&~(j))&(~(a)>(a&t)))) | (~((t|((m>~(p))>(r|r))))>a) | 1 | 1 | 0 | 0 | entailment |
~(((r|(r>(m>j)))>m)) | (m>(~((((j&m)&p)|t))>(~((p>(p&t)))>t))) | 1 | 0 | 0 | 0 | entailment |
(m&((a&~(j))&(~(a)>(a&t)))) | (m>(~((((j&m)&p)|t))>(~((p>(p&t)))>t))) | 0 | 0 | 0 | 0 | not entailment |
~(((r|(r>(m>j)))>m)) | (~((t|((m>~(p))>(r|r))))>a) | 0 | 0 | 0 | 0 | not entailment |
((t&(m&a))&(t|t)) | (((j>j)&~((r>m)))|(((p|(r|r))>m)|(a&a))) | 1 | 0 | 0 | 0 | entailment |
((~((p|p))|(j|(t|t)))&p) | ((~(r)&m)>p) | 1 | 1 | 0 | 0 | entailment |
((t&(m&a))&(t|t)) | ((~(r)&m)>p) | 0 | 1 | 0 | 0 | not entailment |
((~((p|p))|(j|(t|t)))&p) | (((j>j)&~((r>m)))|(((p|(r|r))>m)|(a&a))) | 0 | 0 | 0 | 0 | not entailment |
(t&m) | (~(t)>(~(((r>p)>r))>p)) | 1 | 0 | 0 | 0 | entailment |
(~(t)&~(j)) | (((r&a)>~(t))|(m>((j&~(a))|(r>(j&r))))) | 1 | 0 | 0 | 0 | entailment |
(t&m) | (((r&a)>~(t))|(m>((j&~(a))|(r>(j&r))))) | 0 | 0 | 0 | 0 | not entailment |
(~(t)&~(j)) | (~(t)>(~(((r>p)>r))>p)) | 0 | 0 | 0 | 0 | not entailment |
(r&~((j&(p|(j&m))))) | (~((j|(r|(a&m))))|(j|r)) | 1 | 0 | 0 | 0 | entailment |
(((t&t)&((j&p)|((a&j)>p)))|(~((j&j))&t)) | ((~((t>~((a>j))))|~(j))&t) | 1 | 1 | 1 | 1 | entailment |
(r&~((j&(p|(j&m))))) | ((~((t>~((a>j))))|~(j))&t) | 0 | 0 | 0 | 0 | not entailment |
(((t&t)&((j&p)|((a&j)>p)))|(~((j&j))&t)) | (~((j|(r|(a&m))))|(j|r)) | 0 | 1 | 0 | 0 | not entailment |
(k|k) | ((u&(~((z>d))|d))|(~(d)>k)) | 1 | 0 | 0 | 0 | entailment |
((g>g)&((u>i)&(((k>k)|~(g))>u))) | (u&(((k|i)|k)>i)) | 1 | 1 | 1 | 0 | entailment |
(k|k) | (u&(((k|i)|k)>i)) | 0 | 0 | 0 | 0 | not entailment |
((g>g)&((u>i)&(((k>k)|~(g))>u))) | ((u&(~((z>d))|d))|(~(d)>k)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(i))|k) | (i|k) | 1 | 1 | 1 | 1 | entailment |
(u|(i&~(((d>g)|i)))) | ((~(((d>i)>u))>k)|d) | 1 | 1 | 0 | 0 | entailment |
(~(~(i))|k) | ((~(((d>i)>u))>k)|d) | 0 | 0 | 0 | 0 | not entailment |
(u|(i&~(((d>g)|i)))) | (i|k) | 0 | 1 | 0 | 0 | not entailment |
((k>u)&k) | ~((~((u|i))&(k&g))) | 1 | 0 | 0 | 0 | entailment |
(d&z) | ~((((u>u)|(g&d))>~(z))) | 1 | 0 | 0 | 0 | entailment |
((k>u)&k) | ~((((u>u)|(g&d))>~(z))) | 0 | 0 | 0 | 0 | not entailment |
(d&z) | ~((~((u|i))&(k&g))) | 0 | 0 | 0 | 0 | not entailment |
(i&(i&(d&u))) | ~(((~(~(~((z|u))))&(k&(g|i)))&g)) | 1 | 0 | 0 | 0 | entailment |
~(((d>(u>u))&(u|((g>~(z))&(k&d))))) | ((~(z)&(d&g))>(i>(k>~(k)))) | 1 | 1 | 0 | 0 | entailment |
(i&(i&(d&u))) | ((~(z)&(d&g))>(i>(k>~(k)))) | 0 | 0 | 0 | 0 | not entailment |
~(((d>(u>u))&(u|((g>~(z))&(k&d))))) | ~(((~(~(~((z|u))))&(k&(g|i)))&g)) | 0 | 1 | 0 | 0 | not entailment |
~(~((z&(((u&d)&(g>z))&(z>k))))) | (d&u) | 1 | 1 | 1 | 1 | entailment |
(d&i) | (~(~((d>z)))>(i&((~(d)>k)>(g|d)))) | 1 | 0 | 0 | 0 | entailment |
~(~((z&(((u&d)&(g>z))&(z>k))))) | (~(~((d>z)))>(i&((~(d)>k)>(g|d)))) | 0 | 0 | 0 | 0 | not entailment |
(d&i) | (d&u) | 0 | 1 | 0 | 0 | not entailment |
~(g) | ((((d&~(k))|i)|~((z&k)))|(z>(g>u))) | 1 | 0 | 0 | 0 | entailment |
((z&k)&(k|d)) | (~((~(z)&~(i)))|g) | 1 | 0 | 0 | 0 | entailment |
~(g) | (~((~(z)&~(i)))|g) | 0 | 0 | 0 | 0 | not entailment |
((z&k)&(k|d)) | ((((d&~(k))|i)|~((z&k)))|(z>(g>u))) | 0 | 0 | 0 | 0 | not entailment |
((z|k)|z) | ((z&(g>((d&d)>g)))|(i>k)) | 1 | 0 | 0 | 0 | entailment |
(d&((z>u)&(z|d))) | ~(~(d)) | 1 | 1 | 1 | 1 | entailment |
((z|k)|z) | ~(~(d)) | 0 | 1 | 0 | 0 | not entailment |
(d&((z>u)&(z|d))) | ((z&(g>((d&d)>g)))|(i>k)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((z&i)&(g>u)))) | ((~((u&(u>k)))>(z&k))|~(~((z|d)))) | 1 | 0 | 0 | 0 | entailment |
~(~((g&u))) | (d|(i>u)) | 1 | 1 | 0 | 0 | entailment |
~(~(((z&i)&(g>u)))) | (d|(i>u)) | 0 | 1 | 0 | 0 | not entailment |
~(~((g&u))) | ((~((u&(u>k)))>(z&k))|~(~((z|d)))) | 0 | 0 | 0 | 0 | not entailment |
(d&(g&g)) | (d|z) | 1 | 1 | 0 | 0 | entailment |
(~(z)&(u&((z|g)>d))) | ~(((~((i|z))|~(~(u)))&(z|z))) | 1 | 0 | 0 | 0 | entailment |
(d&(g&g)) | ~(((~((i|z))|~(~(u)))&(z|z))) | 0 | 0 | 0 | 0 | not entailment |
(~(z)&(u&((z|g)>d))) | (d|z) | 0 | 1 | 1 | 0 | not entailment |
(z&u) | ((((g|g)&(i&i))>k)|((u|d)|(g&~((g&i))))) | 1 | 0 | 0 | 0 | entailment |
(~((((z>z)&i)>((d&z)&(g|k))))|(i&k)) | ~(~((i|~((((z>g)&u)>(~(i)>g)))))) | 1 | 1 | 0 | 0 | entailment |
(z&u) | ~(~((i|~((((z>g)&u)>(~(i)>g)))))) | 0 | 0 | 0 | 0 | not entailment |
(~((((z>z)&i)>((d&z)&(g|k))))|(i&k)) | ((((g|g)&(i&i))>k)|((u|d)|(g&~((g&i))))) | 0 | 0 | 0 | 0 | not entailment |
(d&g) | ~(~(((u&((i|d)|(~(g)|i)))>(g&u)))) | 1 | 0 | 0 | 0 | entailment |
((z&u)&~(k)) | ~(((k|k)|(g&(u&k)))) | 1 | 0 | 0 | 0 | entailment |
(d&g) | ~(((k|k)|(g&(u&k)))) | 0 | 0 | 0 | 0 | not entailment |
((z&u)&~(k)) | ~(~(((u&((i|d)|(~(g)|i)))>(g&u)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((u&z))|~(((z&(g|k))|i)))) | (((~((i>k))|(u|u))>d)|(u|d)) | 1 | 1 | 0 | 0 | entailment |
(((u|(i>z))&i)|(((i|(d&u))&(d|(z|d)))&i)) | (((i|i)&u)|~((u&d))) | 1 | 1 | 1 | 0 | entailment |
~((~((u&z))|~(((z&(g|k))|i)))) | (((i|i)&u)|~((u&d))) | 0 | 1 | 0 | 0 | not entailment |
(((u|(i>z))&i)|(((i|(d&u))&(d|(z|d)))&i)) | (((~((i>k))|(u|u))>d)|(u|d)) | 0 | 1 | 0 | 0 | not entailment |
((d&~(((z&z)>(z&g))))&((z>z)>i)) | ((~((k&~(u)))>d)>(k>i)) | 1 | 1 | 0 | 0 | entailment |
~((g|z)) | (i>~(z)) | 1 | 1 | 0 | 0 | entailment |
((d&~(((z&z)>(z&g))))&((z>z)>i)) | (i>~(z)) | 0 | 1 | 1 | 0 | not entailment |
~((g|z)) | ((~((k&~(u)))>d)>(k>i)) | 0 | 0 | 0 | 0 | not entailment |
~(g) | ((~(i)>(z|z))|~((((i|(u|(d>z)))&i)|g))) | 1 | 0 | 0 | 0 | entailment |
~((u>(d>(g>i)))) | (g&d) | 1 | 1 | 1 | 1 | entailment |
~(g) | (g&d) | 0 | 1 | 0 | 0 | not entailment |
~((u>(d>(g>i)))) | ((~(i)>(z|z))|~((((i|(u|(d>z)))&i)|g))) | 0 | 0 | 0 | 0 | not entailment |
~((u|(d&(z&(i|(u>d)))))) | ~(~(((u>d)|((g&i)&~(k))))) | 1 | 0 | 0 | 0 | entailment |
~(((i|k)&(k>(z>k)))) | (i>~(((d&i)&g))) | 1 | 1 | 0 | 0 | entailment |
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