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&((z|r)>~(((x>j)>z))))|~((m|m)))) | ((~(u)&~(n))|(q>m)) | 1 | 1 | 0 | 0 | entailment |
(r&((y|(m|m))>y)) | (~(~((r>z)))>r) | 1 | 1 | 0 | 0 | entailment |
~(((m&((z|r)>~(((x>j)>z))))|~((m|m)))) | (~(~((r>z)))>r) | 0 | 1 | 1 | 0 | not entailment |
(r&((y|(m|m))>y)) | ((~(u)&~(n))|(q>m)) | 0 | 0 | 0 | 0 | not entailment |
~(n) | ((m&(u|((z|r)|x)))|~(((n&q)&(n&y)))) | 1 | 0 | 0 | 0 | entailment |
(~(~((r&n)))&(q&(u>z))) | (m|n) | 1 | 1 | 0 | 0 | entailment |
~(n) | (m|n) | 0 | 1 | 0 | 0 | not entailment |
(~(~((r&n)))&(q&(u>z))) | ((m&(u|((z|r)|x)))|~(((n&q)&(n&y)))) | 0 | 0 | 0 | 0 | not entailment |
(~((((z>(q>~(z)))|y)|(q&x)))&j) | (((r&(m|(n>n)))&j)|~(~((j|(j|x))))) | 1 | 0 | 0 | 0 | entailment |
~((((m&~((m&j)))>(~(y)|z))|(q>z))) | (((m&y)&(m>y))|(r&(u>y))) | 1 | 1 | 0 | 0 | entailment |
(~((((z>(q>~(z)))|y)|(q&x)))&j) | (((m&y)&(m>y))|(r&(u>y))) | 0 | 1 | 0 | 0 | not entailment |
~((((m&~((m&j)))>(~(y)|z))|(q>z))) | (((r&(m|(n>n)))&j)|~(~((j|(j|x))))) | 0 | 1 | 0 | 0 | not entailment |
((n&((x&(r>n))|x))&z) | ((((~(((q&q)|m))>z)|~(z))&m)>((n|m)>n)) | 1 | 0 | 0 | 0 | entailment |
((((n&y)>x)&(r&(q>~(j))))&(y|(y|y))) | (y|~(((~(u)|n)>(n&z)))) | 1 | 1 | 0 | 0 | entailment |
((n&((x&(r>n))|x))&z) | (y|~(((~(u)|n)>(n&z)))) | 0 | 0 | 0 | 0 | not entailment |
((((n&y)>x)&(r&(q>~(j))))&(y|(y|y))) | ((((~(((q&q)|m))>z)|~(z))&m)>((n|m)>n)) | 0 | 0 | 0 | 0 | not entailment |
~((((j>m)|(n|x))|((j>u)|~((j|z))))) | ~((~(((x&q)>(q|x)))|(j&(n&x)))) | 1 | 1 | 0 | 0 | entailment |
(((u|m)>r)&m) | ((~((z>r))&m)|(r>m)) | 1 | 0 | 0 | 0 | entailment |
~((((j>m)|(n|x))|((j>u)|~((j|z))))) | ((~((z>r))&m)|(r>m)) | 0 | 1 | 0 | 0 | not entailment |
(((u|m)>r)&m) | ~((~(((x&q)>(q|x)))|(j&(n&x)))) | 0 | 0 | 0 | 0 | not entailment |
(x&((x|~((n|n)))&((m&q)>u))) | (~(((u|~((n>z)))&(j|(q&x))))|(q|x)) | 1 | 0 | 0 | 0 | entailment |
(j&~(((r&x)|((m&r)|n)))) | (~(r)>j) | 1 | 1 | 1 | 0 | entailment |
(x&((x|~((n|n)))&((m&q)>u))) | (~(r)>j) | 0 | 1 | 0 | 0 | not entailment |
(j&~(((r&x)|((m&r)|n)))) | (~(((u|~((n>z)))&(j|(q&x))))|(q|x)) | 0 | 0 | 0 | 0 | not entailment |
(r&(n&~(((~(m)&q)>x)))) | (q|((r|(~(~(x))&(j>j)))>(r&n))) | 1 | 0 | 0 | 0 | entailment |
~((~((u>n))|((z&y)>m))) | ((~(z)>((n&z)&z))|y) | 1 | 1 | 1 | 1 | entailment |
(r&(n&~(((~(m)&q)>x)))) | ((~(z)>((n&z)&z))|y) | 0 | 1 | 0 | 0 | not entailment |
~((~((u>n))|((z&y)>m))) | (q|((r|(~(~(x))&(j>j)))>(r&n))) | 0 | 0 | 0 | 0 | not entailment |
(~(((~(~((z>n)))>m)|q))&((x>u)|(z>r))) | (n>(m>r)) | 1 | 1 | 1 | 0 | entailment |
(~(y)&((m|(m|j))|(~(~(z))&q))) | (j|(m|z)) | 1 | 1 | 1 | 1 | entailment |
(~(((~(~((z>n)))>m)|q))&((x>u)|(z>r))) | (j|(m|z)) | 0 | 1 | 0 | 0 | not entailment |
(~(y)&((m|(m|j))|(~(~(z))&q))) | (n>(m>r)) | 0 | 1 | 0 | 0 | not entailment |
(y|(z&(j&j))) | (((y|z)>(y|x))|(((q&r)>m)|j)) | 1 | 0 | 0 | 0 | entailment |
(z&r) | (y>(z&y)) | 1 | 0 | 0 | 0 | entailment |
(y|(z&(j&j))) | (y>(z&y)) | 0 | 1 | 1 | 0 | not entailment |
(z&r) | (((y|z)>(y|x))|(((q&r)>m)|j)) | 0 | 0 | 0 | 0 | not entailment |
(~(((q&n)>z))&(~((~(m)&z))>(m&r))) | (~(~((m|(z|r))))|(q&j)) | 1 | 1 | 0 | 0 | entailment |
~((~((u|~((z>(y>((n|y)|z))))))|q)) | (((j&q)|u)|((x|u)&(z&(y&((x|r)|j))))) | 1 | 1 | 0 | 0 | entailment |
(~(((q&n)>z))&(~((~(m)&z))>(m&r))) | (((j&q)|u)|((x|u)&(z&(y&((x|r)|j))))) | 0 | 1 | 0 | 0 | not entailment |
~((~((u|~((z>(y>((n|y)|z))))))|q)) | (~(~((m|(z|r))))|(q&j)) | 0 | 1 | 0 | 0 | not entailment |
((z&((u&x)&n))&m) | ~((~((r>z))&(x&m))) | 1 | 0 | 0 | 0 | entailment |
((x&r)&~((x&y))) | (~(r)>~(((m>n)|(j|z)))) | 1 | 0 | 0 | 0 | entailment |
((z&((u&x)&n))&m) | (~(r)>~(((m>n)|(j|z)))) | 0 | 0 | 0 | 0 | not entailment |
((x&r)&~((x&y))) | ~((~((r>z))&(x&m))) | 0 | 0 | 0 | 0 | not entailment |
(z|((d>d)&d)) | ((~(d)|(d>((z>z)>d)))>(z|((d>d)&d))) | 1 | 0 | 1 | 0 | entailment |
((~(d)>z)>((((z>d)>d)>d)&(z&(d|(z>d))))) | (d|~(z)) | 1 | 1 | 1 | 1 | entailment |
(z|((d>d)&d)) | (d|~(z)) | 0 | 1 | 1 | 0 | not entailment |
((~(d)>z)>((((z>d)>d)>d)&(z&(d|(z>d))))) | ((~(d)|(d>((z>z)>d)))>(z|((d>d)&d))) | 0 | 1 | 1 | 1 | not entailment |
~((((z&z)>((d|z)&~(~(z))))&(d|z))) | ~(~((z|(d>(d&~(d)))))) | 1 | 1 | 1 | 0 | entailment |
((~(~((z&z)))|((z|d)&((d|d)&(d|z))))&d) | (((z|d)|(~((z>d))|d))&(z>(d|z))) | 1 | 1 | 1 | 0 | entailment |
~((((z&z)>((d|z)&~(~(z))))&(d|z))) | (((z|d)|(~((z>d))|d))&(z>(d|z))) | 0 | 1 | 1 | 0 | not entailment |
((~(~((z&z)))|((z|d)&((d|d)&(d|z))))&d) | ~(~((z|(d>(d&~(d)))))) | 0 | 1 | 1 | 0 | not entailment |
(z&(d&(d&d))) | ((~(d)&(z|(d&z)))|((d&z)|d)) | 1 | 0 | 1 | 0 | entailment |
~((z&((((d|d)&z)|(d&z))>z))) | (((z&~((d&(d|d))))>(z>~(z)))&~(z)) | 1 | 0 | 1 | 1 | entailment |
(z&(d&(d&d))) | (((z&~((d&(d|d))))>(z>~(z)))&~(z)) | 0 | 0 | 1 | 0 | not entailment |
~((z&((((d|d)&z)|(d&z))>z))) | ((~(d)&(z|(d&z)))|((d&z)|d)) | 0 | 1 | 1 | 0 | not entailment |
~(z) | ~(~((~(z)|~(d)))) | 1 | 0 | 0 | 0 | entailment |
(z&(d&(z>z))) | (z|z) | 1 | 1 | 1 | 1 | entailment |
~(z) | (z|z) | 0 | 1 | 1 | 0 | not entailment |
(z&(d&(z>z))) | ~(~((~(z)|~(d)))) | 0 | 0 | 1 | 0 | not entailment |
(d&(~((d>d))>(((d&d)|d)&((z>z)&d)))) | (~(((z&(d|z))>d))>d) | 1 | 1 | 1 | 1 | entailment |
(~(((d|d)&z))&(z|((~(d)|~(d))&d))) | ((z|d)>z) | 1 | 1 | 1 | 1 | entailment |
(d&(~((d>d))>(((d&d)|d)&((z>z)&d)))) | ((z|d)>z) | 0 | 1 | 1 | 1 | not entailment |
(~(((d|d)&z))&(z|((~(d)|~(d))&d))) | (~(((z&(d|z))>d))>d) | 0 | 1 | 1 | 1 | not entailment |
(d&z) | ((((d&z)&((d|d)>z))|(z&(z|(z|(d>z)))))&d) | 1 | 0 | 1 | 0 | entailment |
(((z&z)&z)>~((z|(z|z)))) | ((z>~((z&d)))&((z|d)|(d>z))) | 1 | 0 | 0 | 0 | entailment |
(d&z) | ((z>~((z&d)))&((z|d)|(d>z))) | 0 | 0 | 1 | 0 | not entailment |
(((z&z)&z)>~((z|(z|z)))) | ((((d&z)&((d|d)>z))|(z&(z|(z|(d>z)))))&d) | 0 | 0 | 0 | 0 | not entailment |
(z>~(~(d))) | ~(~(~(~(((z|z)>d))))) | 1 | 0 | 1 | 1 | entailment |
~(((z&((z>z)&d))|((z&~(d))>d))) | (z>~((d&((z>z)|z)))) | 1 | 1 | 1 | 1 | entailment |
(z>~(~(d))) | (z>~((d&((z>z)|z)))) | 0 | 0 | 1 | 0 | not entailment |
~(((z&((z>z)&d))|((z&~(d))>d))) | ~(~(~(~(((z|z)>d))))) | 0 | 1 | 1 | 0 | not entailment |
((v>(t>v))>m) | (h>((h>~(q))|((m|t)|(j&~(h))))) | 1 | 0 | 0 | 0 | entailment |
((((q&v)&(v>t))&~((j|v)))|((g|j)&q)) | ((h|t)>(((t&v)|((m>m)&q))|(j|h))) | 1 | 1 | 0 | 0 | entailment |
((v>(t>v))>m) | ((h|t)>(((t&v)|((m>m)&q))|(j|h))) | 0 | 0 | 0 | 0 | not entailment |
((((q&v)&(v>t))&~((j|v)))|((g|j)&q)) | (h>((h>~(q))|((m|t)|(j&~(h))))) | 0 | 1 | 0 | 0 | not entailment |
((h&m)&(q>~(((h>t)|~(q))))) | ~(~((((~(j)>(t&v))|q)>((q>m)|(g&j))))) | 1 | 0 | 0 | 0 | entailment |
((j&h)|~((t|(m>(h>m))))) | (g|j) | 1 | 1 | 0 | 0 | entailment |
((h&m)&(q>~(((h>t)|~(q))))) | (g|j) | 0 | 1 | 0 | 0 | not entailment |
((j&h)|~((t|(m>(h>m))))) | ~(~((((~(j)>(t&v))|q)>((q>m)|(g&j))))) | 0 | 0 | 0 | 0 | not entailment |
(((t&j)&(j&(t|q)))&~((~(g)>((h>t)>g)))) | (((((q&q)>((g&t)|(m&g)))|v)&(q&(j>g)))>h) | 1 | 1 | 0 | 0 | entailment |
((~(((m|g)&q))|(q>j))>q) | (q|(g|(t>g))) | 1 | 1 | 0 | 0 | entailment |
(((t&j)&(j&(t|q)))&~((~(g)>((h>t)>g)))) | (q|(g|(t>g))) | 0 | 1 | 1 | 0 | not entailment |
((~(((m|g)&q))|(q>j))>q) | (((((q&q)>((g&t)|(m&g)))|v)&(q&(j>g)))>h) | 0 | 0 | 0 | 0 | not entailment |
(((j&(t&t))>(v|h))>~(q)) | ((~((q>j))&h)>v) | 1 | 1 | 1 | 0 | entailment |
~((j|~(~((((t&h)&~((~(t)>v)))|g))))) | ~(~((j>m))) | 1 | 1 | 0 | 0 | entailment |
(((j&(t&t))>(v|h))>~(q)) | ~(~((j>m))) | 0 | 1 | 0 | 0 | not entailment |
~((j|~(~((((t&h)&~((~(t)>v)))|g))))) | ((~((q>j))&h)>v) | 0 | 1 | 0 | 0 | not entailment |
(~(((g&(~(g)|m))>~(t)))&(q>~((h|t)))) | (((q&j)>m)>g) | 1 | 1 | 0 | 0 | entailment |
~(((h|q)|j)) | ~(((~((v&g))>h)&j)) | 1 | 0 | 0 | 0 | entailment |
(~(((g&(~(g)|m))>~(t)))&(q>~((h|t)))) | ~(((~((v&g))>h)&j)) | 0 | 1 | 0 | 0 | not entailment |
~(((h|q)|j)) | (((q&j)>m)>g) | 0 | 1 | 0 | 0 | not entailment |
(j&((m|(~(((h|g)>t))|(v&q)))&g)) | (h>j) | 1 | 1 | 1 | 0 | entailment |
(h&(((t>q)|t)>~((q|~(v))))) | ((q>~(~((m&(q|v)))))>h) | 1 | 1 | 0 | 0 | entailment |
(j&((m|(~(((h|g)>t))|(v&q)))&g)) | ((q>~(~((m&(q|v)))))>h) | 0 | 1 | 1 | 0 | not entailment |
(h&(((t>q)|t)>~((q|~(v))))) | (h>j) | 0 | 1 | 0 | 0 | not entailment |
~((v|(j>(~(m)&((m>j)>(j|m)))))) | ~(v) | 1 | 1 | 1 | 1 | entailment |
(((j>v)>((q>t)&((j>m)>g)))&(t>~(h))) | (~(~(m))>(m&~(((~((v&j))&t)&h)))) | 1 | 1 | 1 | 0 | entailment |
~((v|(j>(~(m)&((m>j)>(j|m)))))) | (~(~(m))>(m&~(((~((v&j))&t)&h)))) | 0 | 0 | 0 | 0 | not entailment |
(((j>v)>((q>t)&((j>m)>g)))&(t>~(h))) | ~(v) | 0 | 1 | 1 | 1 | not entailment |
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