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 |
|---|---|---|---|---|---|---|
((s&(k&s))&(((a&u)|(n&(u&n)))>h)) | (a>((a>d)>h)) | 0 | 1 | 0 | 0 | not entailment |
~((((d|o)|~((~((g>s))|d)))|d)) | ~(((d&m)&h)) | 1 | 1 | 0 | 0 | entailment |
(k&((h|(k>h))|((m&a)|n))) | (k&k) | 1 | 1 | 1 | 1 | entailment |
~((((d|o)|~((~((g>s))|d)))|d)) | (k&k) | 0 | 1 | 0 | 0 | not entailment |
(k&((h|(k>h))|((m&a)|n))) | ~(((d&m)&h)) | 0 | 1 | 0 | 0 | not entailment |
(~(m)&(g|~(h))) | (m>n) | 1 | 1 | 0 | 0 | entailment |
(~(((o&(m>(s>g)))&((u&u)|h)))>(g&d)) | ((~(g)>(d|(s|(u|h))))|n) | 1 | 1 | 0 | 0 | entailment |
(~(m)&(g|~(h))) | ((~(g)>(d|(s|(u|h))))|n) | 0 | 0 | 0 | 0 | not entailment |
(~(((o&(m>(s>g)))&((u&u)|h)))>(g&d)) | (m>n) | 0 | 1 | 0 | 0 | not entailment |
(m&s) | ~(~(((m>s)|((h|d)&(~(u)|(u>s)))))) | 1 | 0 | 0 | 0 | entailment |
~((((k|o)>n)|(u>g))) | ((u|~(n))|~(((h&n)>((h&k)|m)))) | 1 | 0 | 0 | 0 | entailment |
(m&s) | ((u|~(n))|~(((h&n)>((h&k)|m)))) | 0 | 0 | 0 | 0 | not entailment |
~((((k|o)>n)|(u>g))) | ~(~(((m>s)|((h|d)&(~(u)|(u>s)))))) | 0 | 0 | 0 | 0 | not entailment |
(g&d) | ((k|n)|d) | 1 | 0 | 0 | 0 | entailment |
~(((d|(h&~((s|~(h)))))|g)) | ((s>~(g))&(((d>k)>s)>s)) | 1 | 1 | 0 | 0 | entailment |
(g&d) | ((s>~(g))&(((d>k)>s)>s)) | 0 | 0 | 0 | 0 | not entailment |
~(((d|(h&~((s|~(h)))))|g)) | ((k|n)|d) | 0 | 1 | 0 | 0 | not entailment |
~((d>~((o|s)))) | (d&(d|o)) | 1 | 1 | 1 | 1 | entailment |
~((d|(~((n&n))&h))) | ((d&k)>(s|s)) | 1 | 1 | 0 | 0 | entailment |
~((d>~((o|s)))) | ((d&k)>(s|s)) | 0 | 1 | 0 | 0 | not entailment |
~((d|(~((n&n))&h))) | (d&(d|o)) | 0 | 1 | 0 | 0 | not entailment |
~(~(n)) | ~(~(n)) | 1 | 1 | 1 | 1 | entailment |
(~(s)&o) | (~(~((u>d)))>((~(d)|(d&u))|o)) | 1 | 0 | 0 | 0 | entailment |
~(~(n)) | (~(~((u>d)))>((~(d)|(d&u))|o)) | 0 | 0 | 0 | 0 | not entailment |
(~(s)&o) | ~(~(n)) | 0 | 1 | 0 | 0 | not entailment |
((~(~((w>(l|n))))|(h>w))>(h&(h>l))) | ((~(l)|(h&n))>n) | 1 | 1 | 1 | 0 | entailment |
~((((w|l)>(h>h))>h)) | ((((w>n)|l)&(l&(h|w)))>(~(h)|(n|w))) | 1 | 0 | 0 | 0 | entailment |
((~(~((w>(l|n))))|(h>w))>(h&(h>l))) | ((((w>n)|l)&(l&(h|w)))>(~(h)|(n|w))) | 0 | 1 | 1 | 0 | not entailment |
~((((w|l)>(h>h))>h)) | ((~(l)|(h&n))>n) | 0 | 1 | 0 | 0 | not entailment |
(n|n) | (((h&h)&~((l>l)))|((~((n|w))>n)>(l>n))) | 1 | 0 | 0 | 0 | entailment |
(~((h&n))&~((l>((l>l)>((l|l)>h))))) | (((w|h)>w)|w) | 1 | 1 | 0 | 0 | entailment |
(n|n) | (((w|h)>w)|w) | 0 | 0 | 0 | 0 | not entailment |
(~((h&n))&~((l>((l>l)>((l|l)>h))))) | (((h&h)&~((l>l)))|((~((n|w))>n)>(l>n))) | 0 | 0 | 0 | 0 | not entailment |
(n|n) | (~((~(~((n|h)))>~(n)))&n) | 1 | 0 | 0 | 0 | entailment |
((w>l)&w) | ~(~((~((h&((w|(l>(l&n)))>n)))|l))) | 1 | 0 | 0 | 0 | entailment |
(n|n) | ~(~((~((h&((w|(l>(l&n)))>n)))|l))) | 0 | 0 | 0 | 0 | not entailment |
((w>l)&w) | (~((~(~((n|h)))>~(n)))&n) | 0 | 0 | 0 | 0 | not entailment |
(w&(((((h&l)&n)>l)>l)|w)) | (n|w) | 1 | 1 | 1 | 1 | entailment |
(~((h>w))&((l>(w&n))>w)) | ((h&l)|~(((h|~(w))>((w>h)>(l&(n|h)))))) | 1 | 0 | 1 | 0 | entailment |
(w&(((((h&l)&n)>l)>l)|w)) | ((h&l)|~(((h|~(w))>((w>h)>(l&(n|h)))))) | 0 | 0 | 1 | 0 | not entailment |
(~((h>w))&((l>(w&n))>w)) | (n|w) | 0 | 1 | 1 | 0 | not entailment |
(n&(w>l)) | (n|h) | 1 | 1 | 0 | 0 | entailment |
((l>h)|h) | (l>h) | 1 | 1 | 1 | 1 | entailment |
(n&(w>l)) | (l>h) | 0 | 1 | 0 | 0 | not entailment |
((l>h)|h) | (n|h) | 0 | 1 | 0 | 0 | not entailment |
((~(n)|(w&l))&h) | (n|h) | 1 | 1 | 1 | 0 | entailment |
((~(((~(h)|n)>h))&~(~(n)))|l) | (((h>(h>(h&l)))|n)|((l>l)&(~(l)&n))) | 1 | 0 | 1 | 0 | entailment |
((~(n)|(w&l))&h) | (((h>(h>(h&l)))|n)|((l>l)&(~(l)&n))) | 0 | 0 | 1 | 0 | not entailment |
((~(((~(h)|n)>h))&~(~(n)))|l) | (n|h) | 0 | 1 | 1 | 0 | not entailment |
(n&w) | (~((~(n)>(n|n)))>(((n&l)&h)&(l>l))) | 1 | 0 | 0 | 0 | entailment |
(h&~((h&(l|~(w))))) | (w&h) | 1 | 1 | 1 | 1 | entailment |
(n&w) | (w&h) | 0 | 1 | 0 | 0 | not entailment |
(h&~((h&(l|~(w))))) | (~((~(n)>(n|n)))>(((n&l)&h)&(l>l))) | 0 | 0 | 0 | 0 | not entailment |
(n>(h>l)) | ((n&(n&n))>(((h|(w>n))>h)>((n>n)>l))) | 1 | 0 | 0 | 0 | entailment |
((n|n)|w) | (n|(((n>(n&(h>w)))>(h>l))|w)) | 1 | 0 | 0 | 0 | entailment |
(n>(h>l)) | (n|(((n>(n&(h>w)))>(h>l))|w)) | 0 | 0 | 0 | 0 | not entailment |
((n|n)|w) | ((n&(n&n))>(((h|(w>n))>h)>((n>n)>l))) | 0 | 0 | 0 | 0 | not entailment |
(l&((h&(n&l))&n)) | (h|n) | 1 | 1 | 1 | 1 | entailment |
~(((l>(n|h))&(h|l))) | ((w&(~(w)|(n&h)))|~(h)) | 1 | 0 | 0 | 0 | entailment |
(l&((h&(n&l))&n)) | ((w&(~(w)|(n&h)))|~(h)) | 0 | 0 | 0 | 0 | not entailment |
~(((l>(n|h))&(h|l))) | (h|n) | 0 | 1 | 1 | 0 | not entailment |
((((~(l)>~((l&h)))>h)>(h&l))&(n&~(w))) | (h>n) | 1 | 1 | 1 | 1 | entailment |
((n|(h&l))>(h&~((n|l)))) | ~(~((~(~(n))>l))) | 1 | 1 | 1 | 0 | entailment |
((((~(l)>~((l&h)))>h)>(h&l))&(n&~(w))) | ~(~((~(~(n))>l))) | 0 | 1 | 1 | 0 | not entailment |
((n|(h&l))>(h&~((n|l)))) | (h>n) | 0 | 1 | 1 | 0 | not entailment |
~(~(h)) | (((h|w)|l)|~((~(h)&~((n|w))))) | 1 | 0 | 0 | 0 | entailment |
~(((n&l)&((n>l)|w))) | (n>(l>w)) | 1 | 1 | 1 | 0 | entailment |
~(~(h)) | (n>(l>w)) | 0 | 1 | 0 | 0 | not entailment |
~(((n&l)&((n>l)|w))) | (((h|w)|l)|~((~(h)&~((n|w))))) | 0 | 0 | 0 | 0 | not entailment |
(~((~((h>(((w>l)|l)&l)))&~(n)))>w) | ((n|(l|(h|l)))|((l>w)>((w&w)|n))) | 1 | 1 | 1 | 0 | entailment |
~(((w>((h>(l|h))|n))&((l>(l>n))&n))) | ~((h&n)) | 1 | 1 | 1 | 1 | entailment |
(~((~((h>(((w>l)|l)&l)))&~(n)))>w) | ~((h&n)) | 0 | 1 | 1 | 0 | not entailment |
~(((w>((h>(l|h))|n))&((l>(l>n))&n))) | ((n|(l|(h|l)))|((l>w)>((w&w)|n))) | 0 | 1 | 1 | 0 | not entailment |
((h>w)&~((h>n))) | ~((~((n>(n&l)))&(~(((w>l)&(n&n)))|h))) | 1 | 0 | 0 | 0 | entailment |
~((~((~(~(n))|((l>l)|h)))|~(n))) | (n|(h&l)) | 1 | 1 | 1 | 1 | entailment |
((h>w)&~((h>n))) | (n|(h&l)) | 0 | 1 | 0 | 0 | not entailment |
~((~((~(~(n))|((l>l)|h)))|~(n))) | ~((~((n>(n&l)))&(~(((w>l)&(n&n)))|h))) | 0 | 0 | 0 | 0 | not entailment |
((w&((l|n)>l))&((~((w>h))>w)|w)) | ((n>w)&(w|~(h))) | 1 | 1 | 1 | 0 | entailment |
~(((w>l)>(((w>h)|n)&((~(h)&l)|h)))) | ~(~(~(((n|~((n&l)))&(n&l))))) | 1 | 1 | 1 | 0 | entailment |
((w&((l|n)>l))&((~((w>h))>w)|w)) | ~(~(~(((n|~((n&l)))&(n&l))))) | 0 | 1 | 1 | 0 | not entailment |
~(((w>l)>(((w>h)|n)&((~(h)&l)|h)))) | ((n>w)&(w|~(h))) | 0 | 1 | 1 | 1 | not entailment |
(w&h) | (((l&l)>(l|n))>(h>w)) | 1 | 0 | 0 | 0 | entailment |
~((l&l)) | ~((l|l)) | 1 | 1 | 1 | 1 | entailment |
(w&h) | ~((l|l)) | 0 | 0 | 0 | 0 | not entailment |
~((l&l)) | (((l&l)>(l|n))>(h>w)) | 0 | 0 | 0 | 0 | not entailment |
((i>e)&i) | (~(z)>(e&i)) | 1 | 0 | 0 | 0 | entailment |
((i>i)&~((e|~(i)))) | ((((z&e)>(i&(e&e)))>e)>(z&i)) | 1 | 0 | 0 | 0 | entailment |
((i>e)&i) | ((((z&e)>(i&(e&e)))>e)>(z&i)) | 0 | 0 | 0 | 0 | not entailment |
((i>i)&~((e|~(i)))) | (~(z)>(e&i)) | 0 | 1 | 0 | 0 | not entailment |
((e&(e|e))|~(~((i&((z&i)>z))))) | (~((~(~(i))|~(z)))>e) | 1 | 1 | 1 | 1 | entailment |
((e|e)|(z&z)) | (~((((z&(i>z))>e)>(e|~(i))))>z) | 1 | 0 | 0 | 0 | entailment |
((e&(e|e))|~(~((i&((z&i)>z))))) | (~((((z&(i>z))>e)>(e|~(i))))>z) | 0 | 1 | 1 | 0 | not entailment |
((e|e)|(z&z)) | (~((~(~(i))|~(z)))>e) | 0 | 0 | 0 | 0 | not entailment |
(e&~(~(z))) | ((e&((z>e)|~(~(i))))|((e&i)&(z>(i&z)))) | 1 | 0 | 0 | 0 | entailment |
~(((((z&z)|i)>i)>(e|(~(i)>z)))) | ~(((i&((i>z)>(i&(e>e))))&(z>(i>z)))) | 1 | 0 | 1 | 0 | entailment |
(e&~(~(z))) | ~(((i&((i>z)>(i&(e>e))))&(z>(i>z)))) | 0 | 0 | 0 | 0 | not entailment |
~(((((z&z)|i)>i)>(e|(~(i)>z)))) | ((e&((z>e)|~(~(i))))|((e&i)&(z>(i&z)))) | 0 | 0 | 1 | 0 | not entailment |
((i>(~((i|z))|(z>~(z))))&e) | (((i&e)|(i>(e|(i|i))))>~(~((e|z)))) | 1 | 0 | 1 | 0 | entailment |
(((~((e|i))>(z&z))&~(e))&i) | (~(((i|i)>~(e)))|i) | 1 | 1 | 1 | 1 | entailment |
((i>(~((i|z))|(z>~(z))))&e) | (~(((i|i)>~(e)))|i) | 0 | 1 | 1 | 0 | not entailment |
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