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 |
|---|---|---|---|---|---|---|
~(((n|(a|w))|~(h))) | (n|p) | 0 | 1 | 0 | 0 | not entailment |
((p>b)>n) | ~(((~(c)&((a|w)>~(e)))&(a&k))) | 0 | 0 | 0 | 0 | not entailment |
~(((a>h)|h)) | ~(~(a)) | 1 | 1 | 1 | 1 | entailment |
((k|k)&(~((k|e))|w)) | ((c>w)|(k&w)) | 1 | 1 | 0 | 0 | entailment |
~(((a>h)|h)) | ((c>w)|(k&w)) | 0 | 1 | 0 | 0 | not entailment |
((k|k)&(~((k|e))|w)) | ~(~(a)) | 0 | 1 | 0 | 0 | not entailment |
~(((k>(e|(h&c)))|(n&b))) | ((k|a)|n) | 1 | 1 | 0 | 0 | entailment |
((h>w)&(p&h)) | (((w|~(p))|((b>~(p))>w))&w) | 1 | 0 | 0 | 0 | entailment |
~(((k>(e|(h&c)))|(n&b))) | (((w|~(p))|((b>~(p))>w))&w) | 0 | 0 | 0 | 0 | not entailment |
((h>w)&(p&h)) | ((k|a)|n) | 0 | 1 | 0 | 0 | not entailment |
(c&~(a)) | (~(~(~(c)))>~(~(c))) | 1 | 0 | 1 | 1 | entailment |
~(~(((p|c)&p))) | (h|(c>(~((w|p))>w))) | 1 | 0 | 0 | 0 | entailment |
(c&~(a)) | (h|(c>(~((w|p))>w))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((p|c)&p))) | (~(~(~(c)))>~(~(c))) | 0 | 0 | 1 | 1 | not entailment |
((((w>(p|p))&((w>w)&p))|(p|(p&(e>a))))&c) | (w>(~((w|(p|(h&a))))|p)) | 1 | 1 | 0 | 0 | entailment |
~((~((a>(n&h)))>e)) | (((e&k)&(w|(a&e)))>((e>b)&((h>b)|~(k)))) | 1 | 0 | 0 | 0 | entailment |
((((w>(p|p))&((w>w)&p))|(p|(p&(e>a))))&c) | (((e&k)&(w|(a&e)))>((e>b)&((h>b)|~(k)))) | 0 | 1 | 0 | 0 | not entailment |
~((~((a>(n&h)))>e)) | (w>(~((w|(p|(h&a))))|p)) | 0 | 0 | 0 | 0 | not entailment |
(((c|c)&k)&n) | ~(~(((b|n)|e))) | 1 | 0 | 0 | 0 | entailment |
(b>~(((e>w)|~(a)))) | ((b&b)>(~(e)>~((a>e)))) | 1 | 0 | 1 | 0 | entailment |
(((c|c)&k)&n) | ((b&b)>(~(e)>~((a>e)))) | 0 | 0 | 0 | 0 | not entailment |
(b>~(((e>w)|~(a)))) | ~(~(((b|n)|e))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(k))&(a&~(b))) | (e>(a&e)) | 1 | 1 | 0 | 0 | entailment |
((k&h)&((n>~(k))>(c>p))) | (w|h) | 1 | 1 | 0 | 0 | entailment |
(~(~(k))&(a&~(b))) | (w|h) | 0 | 1 | 0 | 0 | not entailment |
((k&h)&((n>~(k))>(c>p))) | (e>(a&e)) | 0 | 1 | 0 | 0 | not entailment |
(~((h>(((w|a)>p)>w)))&a) | (((n|n)>c)>h) | 1 | 1 | 0 | 0 | entailment |
(~((b>w))&(((p|k)|(h&e))|(k&~((n>p))))) | ((~(b)&(k&~((e&b))))|(n|b)) | 1 | 1 | 1 | 0 | entailment |
(~((h>(((w|a)>p)>w)))&a) | ((~(b)&(k&~((e&b))))|(n|b)) | 0 | 0 | 0 | 0 | not entailment |
(~((b>w))&(((p|k)|(h&e))|(k&~((n>p))))) | (((n|n)>c)>h) | 0 | 1 | 0 | 0 | not entailment |
~((w>~(h))) | (h|(k>~((n>(p>a))))) | 1 | 0 | 0 | 0 | entailment |
~((a|p)) | ~(((w>a)&p)) | 1 | 0 | 0 | 0 | entailment |
~((w>~(h))) | ~(((w>a)&p)) | 0 | 1 | 0 | 0 | not entailment |
~((a|p)) | (h|(k>~((n>(p>a))))) | 0 | 0 | 0 | 0 | not entailment |
~(((h&n)>e)) | ~((b&e)) | 1 | 1 | 0 | 0 | entailment |
(c&n) | (b>c) | 1 | 1 | 0 | 0 | entailment |
~(((h&n)>e)) | (b>c) | 0 | 1 | 0 | 0 | not entailment |
(c&n) | ~((b&e)) | 0 | 0 | 0 | 0 | not entailment |
(t&((q>d)&z)) | (~(~((~(~(z))&z)))&(d|t)) | 1 | 0 | 1 | 1 | entailment |
~(~(~((q|(t|z))))) | ((z>(z|(z|t)))&~((~((z>(z&t)))|t))) | 1 | 0 | 1 | 0 | entailment |
(t&((q>d)&z)) | ((z>(z|(z|t)))&~((~((z>(z&t)))|t))) | 0 | 0 | 1 | 0 | not entailment |
~(~(~((q|(t|z))))) | (~(~((~(~(z))&z)))&(d|t)) | 0 | 0 | 0 | 0 | not entailment |
((q>d)>((((q>q)&(z>~(z)))&(q>z))&(t|q))) | ((q|~((q|((~(t)|d)|q))))>(d>t)) | 1 | 1 | 1 | 0 | entailment |
(q|z) | (((d>(d&z))|q)|q) | 1 | 0 | 0 | 0 | entailment |
((q>d)>((((q>q)&(z>~(z)))&(q>z))&(t|q))) | (((d>(d&z))|q)|q) | 0 | 1 | 1 | 0 | not entailment |
(q|z) | ((q|~((q|((~(t)|d)|q))))>(d>t)) | 0 | 0 | 0 | 0 | not entailment |
~((~((q|(((t&q)|q)&t)))>t)) | (((t|~(q))|d)&(q>((q&q)|(~((z>t))|d)))) | 1 | 0 | 0 | 0 | entailment |
(~(d)&(~((z>((q&t)|t)))&(z&(q|t)))) | ((d>((d>~(z))&(z&t)))&(q&(z|d))) | 1 | 1 | 1 | 0 | entailment |
~((~((q|(((t&q)|q)&t)))>t)) | ((d>((d>~(z))&(z&t)))&(q&(z|d))) | 0 | 0 | 0 | 0 | not entailment |
(~(d)&(~((z>((q&t)|t)))&(z&(q|t)))) | (((t|~(q))|d)&(q>((q&q)|(~((z>t))|d)))) | 0 | 0 | 1 | 0 | not entailment |
(~(d)&t) | (~(~((t|(z&z))))&(d>(z&d))) | 1 | 0 | 0 | 0 | entailment |
(~(d)&(d|(z>q))) | (z>q) | 1 | 1 | 1 | 1 | entailment |
(~(d)&t) | (z>q) | 0 | 1 | 0 | 0 | not entailment |
(~(d)&(d|(z>q))) | (~(~((t|(z&z))))&(d>(z&d))) | 0 | 0 | 0 | 0 | not entailment |
~(((t|t)>z)) | ((t>(z|(d|((z>q)|~(z)))))>(z>t)) | 1 | 0 | 0 | 0 | entailment |
~(~(~((t|((q&d)|(z>q)))))) | ~(((((d>q)>~((d|d)))|(~((d|z))&q))>q)) | 1 | 0 | 1 | 0 | entailment |
~(((t|t)>z)) | ~(((((d>q)>~((d|d)))|(~((d|z))&q))>q)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((t|((q&d)|(z>q)))))) | ((t>(z|(d|((z>q)|~(z)))))>(z>t)) | 0 | 0 | 1 | 0 | not entailment |
~(((~(t)|~((t>q)))|(q>z))) | ((q>q)>t) | 1 | 1 | 1 | 0 | entailment |
((~((((z|q)&t)|(z|(z&z))))|(t>t))&(d>z)) | ~(~(((d|z)>(d>z)))) | 1 | 1 | 1 | 1 | entailment |
~(((~(t)|~((t>q)))|(q>z))) | ~(~(((d|z)>(d>z)))) | 0 | 1 | 0 | 0 | not entailment |
((~((((z|q)&t)|(z|(z&z))))|(t>t))&(d>z)) | ((q>q)>t) | 0 | 1 | 1 | 0 | not entailment |
(d&t) | ~(~(d)) | 1 | 0 | 1 | 1 | entailment |
(~(~((((t|q)|d)&~((d&d)))))&(z|q)) | ((d&(z|d))>(q&(q|(q>z)))) | 1 | 1 | 1 | 0 | entailment |
(d&t) | ((d&(z|d))>(q&(q|(q>z)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((((t|q)|d)&~((d&d)))))&(z|q)) | ~(~(d)) | 0 | 1 | 1 | 1 | not entailment |
~(((q&d)>((z&t)&((q&z)>((~(t)&z)|z))))) | ((d|~(~(((((t>(q|q))&(q>t))|d)|z))))&q) | 1 | 1 | 1 | 0 | entailment |
(((q|d)>~(t))&q) | ((t&(~(d)|~(z)))>(z&(t>z))) | 1 | 0 | 0 | 0 | entailment |
~(((q&d)>((z&t)&((q&z)>((~(t)&z)|z))))) | ((t&(~(d)|~(z)))>(z&(t>z))) | 0 | 1 | 1 | 1 | not entailment |
(((q|d)>~(t))&q) | ((d|~(~(((((t>(q|q))&(q>t))|d)|z))))&q) | 0 | 0 | 0 | 0 | not entailment |
~((~(d)&t)) | (((t|(d|z))>(q&d))|(q>z)) | 1 | 0 | 0 | 0 | entailment |
~((~(~((d>z)))&(z&((t|t)>(~(z)&d))))) | ((z&z)>(t|d)) | 1 | 1 | 1 | 1 | entailment |
~((~(d)&t)) | ((z&z)>(t|d)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((d>z)))&(z&((t|t)>(~(z)&d))))) | (((t|(d|z))>(q&d))|(q>z)) | 0 | 1 | 0 | 0 | not entailment |
(((t|z)&z)&(d|d)) | (z|d) | 1 | 1 | 1 | 1 | entailment |
((~(((q&z)|d))>d)>t) | (((d&t)|(d>~(d)))|(d>t)) | 1 | 0 | 1 | 0 | entailment |
(((t|z)&z)&(d|d)) | (((d&t)|(d>~(d)))|(d>t)) | 0 | 0 | 1 | 0 | not entailment |
((~(((q&z)|d))>d)>t) | (z|d) | 0 | 1 | 1 | 0 | not entailment |
(d&(~((q>q))>q)) | (d|(t&d)) | 1 | 1 | 0 | 0 | entailment |
(q&((z&z)|t)) | ((z|(q|z))|t) | 1 | 1 | 1 | 1 | entailment |
(d&(~((q>q))>q)) | ((z|(q|z))|t) | 0 | 1 | 0 | 0 | not entailment |
(q&((z&z)|t)) | (d|(t&d)) | 0 | 1 | 0 | 0 | not entailment |
(~((~(t)>q))&~(((~(t)&d)>(z|t)))) | ((z|z)>~(((d>~(d))>t))) | 1 | 1 | 1 | 0 | entailment |
~(~(((t&d)&d))) | (q|(t|(t&z))) | 1 | 1 | 0 | 0 | entailment |
(~((~(t)>q))&~(((~(t)&d)>(z|t)))) | (q|(t|(t&z))) | 0 | 1 | 1 | 0 | not entailment |
~(~(((t&d)&d))) | ((z|z)>~(((d>~(d))>t))) | 0 | 0 | 0 | 0 | not entailment |
(~(z)&(t&q)) | ((q|~(z))&(t|(((t|q)>q)>(t>q)))) | 1 | 0 | 1 | 0 | entailment |
~((d>q)) | (d|~((d>t))) | 1 | 0 | 0 | 0 | entailment |
(~(z)&(t&q)) | (d|~((d>t))) | 0 | 1 | 0 | 0 | not entailment |
~((d>q)) | ((q|~(z))&(t|(((t|q)>q)>(t>q)))) | 0 | 0 | 0 | 0 | not entailment |
(~((d&((q>(q>z))&(z|d))))>((d|q)&z)) | (~((z&t))|(((z&q)&q)|d)) | 1 | 1 | 0 | 0 | entailment |
(~(~(((d|t)>(d>d))))>(z&t)) | (t>(z&t)) | 1 | 1 | 1 | 0 | entailment |
(~((d&((q>(q>z))&(z|d))))>((d|q)&z)) | (t>(z&t)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((d|t)>(d>d))))>(z&t)) | (~((z&t))|(((z&q)&q)|d)) | 0 | 1 | 0 | 0 | not entailment |
~(t) | (~(t)|~((~(~(z))>q))) | 1 | 0 | 0 | 0 | entailment |
(((z>q)|(q&(q&d)))&(t&q)) | ~(((t|(d|((d|z)&~(z))))>~(q))) | 1 | 0 | 1 | 0 | entailment |
~(t) | ~(((t|(d|((d|z)&~(z))))>~(q))) | 0 | 0 | 0 | 0 | not entailment |
(((z>q)|(q&(q&d)))&(t&q)) | (~(t)|~((~(~(z))>q))) | 0 | 1 | 1 | 0 | not entailment |
(~((x|(~(~(u))&o)))&~((~(~(o))>k))) | ((x>~(n))|m) | 1 | 1 | 0 | 0 | entailment |
~(~(((y|(~((u>x))>z))&z))) | ((f&y)>z) | 1 | 1 | 0 | 0 | entailment |
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