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 |
|---|---|---|---|---|---|---|
(a&k) | (z|r) | 0 | 1 | 0 | 0 | not entailment |
~(((q&(o&a))>(~((z>t))>s))) | ((s>q)|k) | 1 | 1 | 0 | 0 | entailment |
~((((o>((c|t)|k))|~((c|k)))&z)) | (~((~(~(~(s)))&~(l)))|((c|~(z))|r)) | 1 | 0 | 0 | 0 | entailment |
~(((q&(o&a))>(~((z>t))>s))) | (~((~(~(~(s)))&~(l)))|((c|~(z))|r)) | 0 | 0 | 0 | 0 | not entailment |
~((((o>((c|t)|k))|~((c|k)))&z)) | ((s>q)|k) | 0 | 1 | 0 | 0 | not entailment |
((o&a)&q) | (~(~((r>q)))|(z&(k&z))) | 1 | 0 | 0 | 0 | entailment |
(~((r>l))&(t|s)) | (o>((r|~(z))|~((c>(q>a))))) | 1 | 0 | 0 | 0 | entailment |
((o&a)&q) | (o>((r|~(z))|~((c>(q>a))))) | 0 | 0 | 0 | 0 | not entailment |
(~((r>l))&(t|s)) | (~(~((r>q)))|(z&(k&z))) | 0 | 0 | 0 | 0 | not entailment |
~((k>a)) | ((r|q)|(z|k)) | 1 | 0 | 0 | 0 | entailment |
(l&(o&c)) | (((z>(l|o))|(c&c))&(l>l)) | 1 | 0 | 0 | 0 | entailment |
~((k>a)) | (((z>(l|o))|(c&c))&(l>l)) | 0 | 0 | 0 | 0 | not entailment |
(l&(o&c)) | ((r|q)|(z|k)) | 0 | 0 | 0 | 0 | not entailment |
(z&(l|o)) | (c|(~((q|l))|(r|(o>(z|z))))) | 1 | 0 | 0 | 0 | entailment |
~(((o>((s|((k&c)|r))&(o|l)))|t)) | (~(o)>((~(c)|(s>(q>~(q))))>r)) | 1 | 1 | 0 | 0 | entailment |
(z&(l|o)) | (~(o)>((~(c)|(s>(q>~(q))))>r)) | 0 | 0 | 0 | 0 | not entailment |
~(((o>((s|((k&c)|r))&(o|l)))|t)) | (c|(~((q|l))|(r|(o>(z|z))))) | 0 | 1 | 0 | 0 | not entailment |
(c&(k&~((o>r)))) | (~((~(k)>((k&q)|s)))|k) | 1 | 0 | 0 | 0 | entailment |
(~((l>(z>r)))&(~((l|o))|l)) | ~((~((c>((r>z)&z)))&s)) | 1 | 1 | 0 | 0 | entailment |
(c&(k&~((o>r)))) | ~((~((c>((r>z)&z)))&s)) | 0 | 0 | 0 | 0 | not entailment |
(~((l>(z>r)))&(~((l|o))|l)) | (~((~(k)>((k&q)|s)))|k) | 0 | 1 | 0 | 0 | not entailment |
~(((z>l)|(~((s|c))|~((s&(c|l)))))) | (~(t)|(((a>c)&l)|c)) | 1 | 1 | 0 | 0 | entailment |
(r&z) | (((r|~(s))|l)|(t&((~((o>s))>a)&(o>l)))) | 1 | 0 | 0 | 0 | entailment |
~(((z>l)|(~((s|c))|~((s&(c|l)))))) | (((r|~(s))|l)|(t&((~((o>s))>a)&(o>l)))) | 0 | 0 | 0 | 0 | not entailment |
(r&z) | (~(t)|(((a>c)&l)|c)) | 0 | 0 | 0 | 0 | not entailment |
~((l|(~((t&(a|((l|o)&t))))>t))) | (l>a) | 1 | 1 | 1 | 0 | entailment |
(t&(((r|l)&(o|c))|z)) | (((s&((~(o)|z)&z))|(s|(a|t)))|s) | 1 | 0 | 0 | 0 | entailment |
~((l|(~((t&(a|((l|o)&t))))>t))) | (((s&((~(o)|z)&z))|(s|(a|t)))|s) | 0 | 1 | 0 | 0 | not entailment |
(t&(((r|l)&(o|c))|z)) | (l>a) | 0 | 1 | 0 | 0 | not entailment |
~(((s&z)|((s&s)>a))) | ((z|z)>(t>c)) | 1 | 1 | 0 | 0 | entailment |
~((~(((a>(z>o))&(k>(c&z))))>(q|c))) | (((o&~(t))|(~(z)>a))>~(q)) | 1 | 1 | 0 | 0 | entailment |
~(((s&z)|((s&s)>a))) | (((o&~(t))|(~(z)>a))>~(q)) | 0 | 0 | 0 | 0 | not entailment |
~((~(((a>(z>o))&(k>(c&z))))>(q|c))) | ((z|z)>(t>c)) | 0 | 1 | 0 | 0 | not entailment |
(~(((t>c)|r))&(o|o)) | (((t&c)>(((o|r)>q)>(l|o)))|s) | 1 | 0 | 0 | 0 | entailment |
(((r>c)>((t>a)|~(z)))&((a|(s>c))&(a&c))) | ~(~((r|a))) | 1 | 1 | 1 | 1 | entailment |
(~(((t>c)|r))&(o|o)) | ~(~((r|a))) | 0 | 1 | 0 | 0 | not entailment |
(((r>c)>((t>a)|~(z)))&((a|(s>c))&(a&c))) | (((t&c)>(((o|r)>q)>(l|o)))|s) | 0 | 1 | 0 | 0 | not entailment |
(l&~((s&~(a)))) | ~(~(((~(((a&(t>r))>a))>(l&r))&l))) | 1 | 0 | 0 | 0 | entailment |
((t>o)&((~(c)&(z|((a|l)&r)))&(o|(c>r)))) | ((~((a>q))|z)|((z>t)>(r|c))) | 1 | 1 | 0 | 0 | entailment |
(l&~((s&~(a)))) | ((~((a>q))|z)|((z>t)>(r|c))) | 0 | 0 | 0 | 0 | not entailment |
((t>o)&((~(c)&(z|((a|l)&r)))&(o|(c>r)))) | ~(~(((~(((a&(t>r))>a))>(l&r))&l))) | 0 | 1 | 1 | 0 | not entailment |
~(((q>(((l&~(a))>k)&(q|s)))|k)) | ((k>~((((t|q)|r)|~(r))))>(~((q>l))>c)) | 1 | 0 | 0 | 0 | entailment |
(r&o) | (~(~(c))|((q>(s>((r|c)|t)))|k)) | 1 | 0 | 0 | 0 | entailment |
~(((q>(((l&~(a))>k)&(q|s)))|k)) | (~(~(c))|((q>(s>((r|c)|t)))|k)) | 0 | 1 | 0 | 0 | not entailment |
(r&o) | ((k>~((((t|q)|r)|~(r))))>(~((q>l))>c)) | 0 | 0 | 0 | 0 | not entailment |
(((r|(w&r))|~((~((w>h))>w)))&n) | (n|r) | 1 | 1 | 1 | 1 | entailment |
~((w>~((h>(~(w)&h))))) | ((n&(n&h))>(w&n)) | 1 | 1 | 0 | 0 | entailment |
(((r|(w&r))|~((~((w>h))>w)))&n) | ((n&(n&h))>(w&n)) | 0 | 1 | 1 | 0 | not entailment |
~((w>~((h>(~(w)&h))))) | (n|r) | 0 | 1 | 0 | 0 | not entailment |
~(~((n|(r|(w&n))))) | ~((~((~((n|~((w|r))))|n))&h)) | 1 | 0 | 0 | 0 | entailment |
~(((~((h|h))>(~(n)&h))>r)) | (((n>(h>h))>((w|h)&r))>h) | 1 | 1 | 0 | 0 | entailment |
~(~((n|(r|(w&n))))) | (((n>(h>h))>((w|h)&r))>h) | 0 | 0 | 0 | 0 | not entailment |
~(((~((h|h))>(~(n)&h))>r)) | ~((~((~((n|~((w|r))))|n))&h)) | 0 | 0 | 0 | 0 | not entailment |
~(((w>h)|(w>(w&((n>(~(r)|w))>h))))) | ((w|(r|r))>((w|r)&w)) | 1 | 1 | 1 | 0 | entailment |
~(((n>w)&(((r|w)>(w|w))>w))) | (w>((r|h)&w)) | 1 | 1 | 0 | 0 | entailment |
~(((w>h)|(w>(w&((n>(~(r)|w))>h))))) | (w>((r|h)&w)) | 0 | 1 | 1 | 0 | not entailment |
~(((n>w)&(((r|w)>(w|w))>w))) | ((w|(r|r))>((w|r)&w)) | 0 | 1 | 1 | 0 | not entailment |
~((h>r)) | (r|h) | 1 | 1 | 1 | 0 | entailment |
(w|w) | ((((w>n)>w)|(r&r))&((r|h)>~(~((r|w))))) | 1 | 0 | 0 | 0 | entailment |
~((h>r)) | ((((w>n)>w)|(r&r))&((r|h)>~(~((r|w))))) | 0 | 0 | 0 | 0 | not entailment |
(w|w) | (r|h) | 0 | 1 | 0 | 0 | not entailment |
(h&h) | ((w|r)>((w|w)|(((n&r)>h)|(~(r)&n)))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(~((r&r))))) | ((~(r)|w)>w) | 1 | 1 | 0 | 0 | entailment |
(h&h) | ((~(r)|w)>w) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(~((r&r))))) | ((w|r)>((w|w)|(((n&r)>h)|(~(r)&n)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(n)|w)) | (((n>(w>w))&((h|r)|n))|(~(h)&w)) | 1 | 0 | 0 | 0 | entailment |
(((n&~(~((((h|r)>w)>w))))>~(h))&~(n)) | (~((w&r))>((n&r)>(w&~((n>r))))) | 1 | 1 | 1 | 0 | entailment |
~((~(n)|w)) | (~((w&r))>((n&r)>(w&~((n>r))))) | 0 | 0 | 0 | 0 | not entailment |
(((n&~(~((((h|r)>w)>w))))>~(h))&~(n)) | (((n>(w>w))&((h|r)|n))|(~(h)&w)) | 0 | 1 | 1 | 0 | not entailment |
~(~(r)) | (r|r) | 1 | 1 | 1 | 1 | entailment |
(~((((r|(~(r)>h))|n)>(h|h)))&~((r|h))) | ((w&((r|r)&~((r>w))))|(~(w)>(h>n))) | 1 | 1 | 0 | 0 | entailment |
~(~(r)) | ((w&((r|r)&~((r>w))))|(~(w)>(h>n))) | 0 | 0 | 0 | 0 | not entailment |
(~((((r|(~(r)>h))|n)>(h|h)))&~((r|h))) | (r|r) | 0 | 1 | 1 | 1 | not entailment |
(r&((n>h)&~(w))) | (((~((w>~((r>r))))&(h&h))>~(h))|r) | 1 | 0 | 1 | 0 | entailment |
(n&(h&~((r&r)))) | ((w|(h&n))|(h&h)) | 1 | 1 | 0 | 0 | entailment |
(r&((n>h)&~(w))) | ((w|(h&n))|(h&h)) | 0 | 1 | 1 | 0 | not entailment |
(n&(h&~((r&r)))) | (((~((w>~((r>r))))&(h&h))>~(h))|r) | 0 | 0 | 0 | 0 | not entailment |
(r&w) | (((r>w)&h)>(w>r)) | 1 | 0 | 0 | 0 | entailment |
(n&w) | (h>((n&(w&w))&((w>n)>~((~(n)|~(h)))))) | 1 | 0 | 0 | 0 | entailment |
(r&w) | (h>((n&(w&w))&((w>n)>~((~(n)|~(h)))))) | 0 | 0 | 0 | 0 | not entailment |
(n&w) | (((r>w)&h)>(w>r)) | 0 | 0 | 0 | 0 | not entailment |
(((n&(r|r))&(~(n)|n))&(n|n)) | ((w|n)>n) | 1 | 1 | 0 | 0 | entailment |
(~(~((h&r)))&w) | ((n>r)>w) | 1 | 1 | 0 | 0 | entailment |
(((n&(r|r))&(~(n)|n))&(n|n)) | ((n>r)>w) | 0 | 1 | 0 | 0 | not entailment |
(~(~((h&r)))&w) | ((w|n)>n) | 0 | 1 | 0 | 0 | not entailment |
(((w>r)|(h&n))&~(~((w|n)))) | ((h&((~(w)&h)>(r&((n|r)>w))))|(w>r)) | 1 | 0 | 1 | 0 | entailment |
((n&(w&(h&r)))|((n|w)&~((n>r)))) | ((r&n)|n) | 1 | 1 | 1 | 1 | entailment |
(((w>r)|(h&n))&~(~((w|n)))) | ((r&n)|n) | 0 | 1 | 1 | 1 | not entailment |
((n&(w&(h&r)))|((n|w)&~((n>r)))) | ((h&((~(w)&h)>(r&((n|r)>w))))|(w>r)) | 0 | 0 | 1 | 0 | not entailment |
(((h>w)&w)&((w|w)&((r|(n>r))&r))) | ((n|(h&((h&w)>w)))|r) | 1 | 1 | 1 | 0 | entailment |
~((r|w)) | ~((w&(r|n))) | 1 | 0 | 0 | 0 | entailment |
(((h>w)&w)&((w|w)&((r|(n>r))&r))) | ~((w&(r|n))) | 0 | 1 | 1 | 0 | not entailment |
~((r|w)) | ((n|(h&((h&w)>w)))|r) | 0 | 0 | 0 | 0 | not entailment |
(n&(n>r)) | (~(((n|r)>~(~((h>n)))))>(~(r)|w)) | 1 | 0 | 0 | 0 | entailment |
(~(n)&~(~(~(n)))) | ~(n) | 1 | 1 | 1 | 1 | entailment |
(n&(n>r)) | ~(n) | 0 | 1 | 1 | 1 | not entailment |
(~(n)&~(~(~(n)))) | (~(((n|r)>~(~((h>n)))))>(~(r)|w)) | 0 | 0 | 0 | 0 | not entailment |
((n&w)&(~((w&h))|~(~((w|h))))) | ((~(n)&(r&w))|(n|((n&h)|w))) | 1 | 1 | 0 | 0 | entailment |
(n>((w&~(h))&r)) | (((~(n)|(r|~(n)))&w)|(n>h)) | 1 | 0 | 1 | 0 | entailment |
((n&w)&(~((w&h))|~(~((w|h))))) | (((~(n)|(r|~(n)))&w)|(n>h)) | 0 | 1 | 0 | 0 | not entailment |
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