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 |
|---|---|---|---|---|---|---|
~(((u>(c>z))|(t|b))) | (c|(t|m)) | 1 | 1 | 0 | 0 | entailment |
((t>(d|t))&z) | ((u|t)>(z&(~(d)|(~(((z&c)|h))|(d&z))))) | 1 | 0 | 0 | 0 | entailment |
~(((u>(c>z))|(t|b))) | ((u|t)>(z&(~(d)|(~(((z&c)|h))|(d&z))))) | 0 | 0 | 0 | 0 | not entailment |
((t>(d|t))&z) | (c|(t|m)) | 0 | 1 | 0 | 0 | not entailment |
((~(t)|z)&(~((u&t))|(d>z))) | ((t>((d&m)|~(d)))|z) | 1 | 1 | 0 | 0 | entailment |
(b&((h&m)|((t>(z|c))|(c|t)))) | ~((~(~(~(b)))&~(t))) | 1 | 1 | 1 | 1 | entailment |
((~(t)|z)&(~((u&t))|(d>z))) | ~((~(~(~(b)))&~(t))) | 0 | 1 | 0 | 0 | not entailment |
(b&((h&m)|((t>(z|c))|(c|t)))) | ((t>((d&m)|~(d)))|z) | 0 | 1 | 0 | 0 | not entailment |
(((z&u)|u)&((~(~((u&b)))>d)&z)) | (((c&t)|(h&h))|(d>z)) | 1 | 1 | 0 | 0 | entailment |
((m>~(h))&t) | ~((~(t)&((u>h)|((c>b)&t)))) | 1 | 0 | 0 | 0 | entailment |
(((z&u)|u)&((~(~((u&b)))>d)&z)) | ~((~(t)&((u>h)|((c>b)&t)))) | 0 | 1 | 0 | 0 | not entailment |
((m>~(h))&t) | (((c&t)|(h&h))|(d>z)) | 0 | 0 | 0 | 0 | not entailment |
(m|z) | (~(b)|(m|(t|z))) | 1 | 0 | 0 | 0 | entailment |
(((c|d)&c)&d) | ((m|c)>~(~(((m&t)>(d|d))))) | 1 | 0 | 0 | 0 | entailment |
(m|z) | ((m|c)>~(~(((m&t)>(d|d))))) | 0 | 0 | 0 | 0 | not entailment |
(((c|d)&c)&d) | (~(b)|(m|(t|z))) | 0 | 0 | 0 | 0 | not entailment |
~((~((d>b))>(m|~((u>((h|t)>c)))))) | ((h>(c|~(u)))|(((d>z)>d)>((c&t)&h))) | 1 | 1 | 0 | 0 | entailment |
(b&h) | (~(((~((c&t))>c)&~(u)))>(b|(t&c))) | 1 | 0 | 0 | 0 | entailment |
~((~((d>b))>(m|~((u>((h|t)>c)))))) | (~(((~((c&t))>c)&~(u)))>(b|(t&c))) | 0 | 1 | 1 | 0 | not entailment |
(b&h) | ((h>(c|~(u)))|(((d>z)>d)>((c&t)&h))) | 0 | 0 | 0 | 0 | not entailment |
(h&(d&((c>z)|c))) | (m|(t>d)) | 1 | 1 | 0 | 0 | entailment |
((d>(m|(t>z)))>~((t>c))) | ~((((u&(h&m))|(b>z))&~(((t|u)|u)))) | 1 | 0 | 0 | 0 | entailment |
(h&(d&((c>z)|c))) | ~((((u&(h&m))|(b>z))&~(((t|u)|u)))) | 0 | 0 | 0 | 0 | not entailment |
((d>(m|(t>z)))>~((t>c))) | (m|(t>d)) | 0 | 1 | 1 | 0 | not entailment |
(d&c) | (c|((d|c)&h)) | 1 | 0 | 0 | 0 | entailment |
(t&(~(z)&~(~((c|d))))) | ~(z) | 1 | 1 | 1 | 1 | entailment |
(d&c) | ~(z) | 0 | 1 | 0 | 0 | not entailment |
(t&(~(z)&~(~((c|d))))) | (c|((d|c)&h)) | 0 | 1 | 0 | 0 | not entailment |
(~(((c|t)&~(d)))&((c|c)&(z&(h>t)))) | ((~(~(~((m>(t&d)))))|d)|~((~(u)>t))) | 1 | 0 | 0 | 0 | entailment |
~(((~(t)|d)|(u>z))) | (u|(~((((b&h)>h)>((z>b)&c)))|(t|m))) | 1 | 0 | 0 | 0 | entailment |
(~(((c|t)&~(d)))&((c|c)&(z&(h>t)))) | (u|(~((((b&h)>h)>((z>b)&c)))|(t|m))) | 0 | 1 | 0 | 0 | not entailment |
~(((~(t)|d)|(u>z))) | ((~(~(~((m>(t&d)))))|d)|~((~(u)>t))) | 0 | 0 | 0 | 0 | not entailment |
((~(d)>(m&b))&u) | ((z>(d&c))|u) | 1 | 1 | 0 | 0 | entailment |
~(((z>z)>c)) | ~((((z>z)|(b>(~((b>t))&(b|t))))&c)) | 1 | 0 | 0 | 0 | entailment |
((~(d)>(m&b))&u) | ~((((z>z)|(b>(~((b>t))&(b|t))))&c)) | 0 | 0 | 0 | 0 | not entailment |
~(((z>z)>c)) | ((z>(d&c))|u) | 0 | 1 | 0 | 0 | not entailment |
~((~((b&(u&m)))>z)) | (m|(z>(u&b))) | 1 | 1 | 1 | 0 | entailment |
((t>(t|~(t)))&~((t>(b&(b>h))))) | (~(m)|(c>t)) | 1 | 1 | 0 | 0 | entailment |
~((~((b&(u&m)))>z)) | (~(m)|(c>t)) | 0 | 1 | 0 | 0 | not entailment |
((t>(t|~(t)))&~((t>(b&(b>h))))) | (m|(z>(u&b))) | 0 | 1 | 0 | 0 | not entailment |
(d|~(~(((m&d)&d)))) | (~(m)|(b|(d|c))) | 1 | 1 | 0 | 0 | entailment |
(~(d)&(c>~((z>m)))) | (((t&c)&(h|z))>(~(~((b|h)))>~((m&z)))) | 1 | 0 | 0 | 0 | entailment |
(d|~(~(((m&d)&d)))) | (((t&c)&(h|z))>(~(~((b|h)))>~((m&z)))) | 0 | 0 | 0 | 0 | not entailment |
(~(d)&(c>~((z>m)))) | (~(m)|(b|(d|c))) | 0 | 1 | 0 | 0 | not entailment |
(r&t) | (((t>t)>r)&t) | 1 | 0 | 1 | 0 | entailment |
~(~(a)) | ~(~((a&(t|a)))) | 1 | 0 | 0 | 0 | entailment |
(r&t) | ~(~((a&(t|a)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(a)) | (((t>t)>r)&t) | 0 | 0 | 0 | 0 | not entailment |
((((r&(a|a))>(~(~(t))>(r>r)))&a)&~(r)) | ((r>~((a>r)))&a) | 1 | 1 | 1 | 1 | entailment |
(((a|a)&t)&a) | (t&a) | 1 | 1 | 1 | 1 | entailment |
((((r&(a|a))>(~(~(t))>(r>r)))&a)&~(r)) | (t&a) | 0 | 1 | 1 | 0 | not entailment |
(((a|a)&t)&a) | ((r>~((a>r)))&a) | 0 | 0 | 0 | 0 | not entailment |
~(((a&~((t>t)))|(~(~((a>t)))&(t|r)))) | (((t&t)|t)>r) | 1 | 1 | 1 | 0 | entailment |
(t&(t>a)) | (~(~(a))&a) | 1 | 0 | 1 | 1 | entailment |
~(((a&~((t>t)))|(~(~((a>t)))&(t|r)))) | (~(~(a))&a) | 0 | 1 | 1 | 1 | not entailment |
(t&(t>a)) | (((t&t)|t)>r) | 0 | 0 | 0 | 0 | not entailment |
~(((r>r)>~((((r|r)>t)>(a&a))))) | (t>a) | 1 | 1 | 1 | 1 | entailment |
(r&(a>(t|~(t)))) | (r|t) | 1 | 1 | 1 | 1 | entailment |
~(((r>r)>~((((r|r)>t)>(a&a))))) | (r|t) | 0 | 1 | 1 | 0 | not entailment |
(r&(a>(t|~(t)))) | (t>a) | 0 | 1 | 1 | 0 | not entailment |
~(((t|a)|a)) | (t>r) | 1 | 1 | 0 | 0 | entailment |
(((a|(t>(a>r)))>(t>(r>a)))&a) | (a|(r&(a|r))) | 1 | 1 | 1 | 0 | entailment |
~(((t|a)|a)) | (a|(r&(a|r))) | 0 | 1 | 0 | 0 | not entailment |
(((a|(t>(a>r)))>(t>(r>a)))&a) | (t>r) | 0 | 1 | 1 | 0 | not entailment |
((t>r)&(r>a)) | (t>r) | 1 | 1 | 1 | 1 | entailment |
((t>~(r))&~(~(a))) | (t|a) | 1 | 1 | 1 | 0 | entailment |
((t>r)&(r>a)) | (t|a) | 0 | 1 | 1 | 0 | not entailment |
((t>~(r))&~(~(a))) | (t>r) | 0 | 1 | 1 | 0 | not entailment |
~(((r&(t|a))>(((t>t)|t)>a))) | (t&((~(((t>a)>r))>(r>r))|r)) | 1 | 1 | 1 | 0 | entailment |
(a&((r&t)>t)) | ((((a>t)&r)&(a|a))|a) | 1 | 0 | 1 | 0 | entailment |
~(((r&(t|a))>(((t>t)|t)>a))) | ((((a>t)&r)&(a|a))|a) | 0 | 1 | 1 | 1 | not entailment |
(a&((r&t)>t)) | (t&((~(((t>a)>r))>(r>r))|r)) | 0 | 0 | 1 | 0 | not entailment |
((r&r)|r) | (r|~(((t|((r&r)>(a&t)))|r))) | 1 | 0 | 0 | 0 | entailment |
(a|(r&(~(a)>(a&~(a))))) | (r>a) | 1 | 1 | 1 | 0 | entailment |
((r&r)|r) | (r>a) | 0 | 1 | 0 | 0 | not entailment |
(a|(r&(~(a)>(a&~(a))))) | (r|~(((t|((r&r)>(a&t)))|r))) | 0 | 0 | 0 | 0 | not entailment |
(~(((a&r)>(r&~(r))))&((t|r)>r)) | (((t>(r|a))&r)|a) | 1 | 1 | 1 | 1 | entailment |
(((t>a)|a)>(~(r)&r)) | (r>(r&t)) | 1 | 1 | 1 | 1 | entailment |
(~(((a&r)>(r&~(r))))&((t|r)>r)) | (r>(r&t)) | 0 | 1 | 1 | 0 | not entailment |
(((t>a)|a)>(~(r)&r)) | (((t>(r|a))&r)|a) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(((((r>(t>r))|a)&t)>(r|a))))) | ~((t&(r&a))) | 1 | 1 | 1 | 1 | entailment |
(t>r) | (((~(r)>(r|t))&(a|~((t>(a|r)))))>a) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((((r>(t>r))|a)&t)>(r|a))))) | (((~(r)>(r|t))&(a|~((t>(a|r)))))>a) | 0 | 1 | 1 | 1 | not entailment |
(t>r) | ~((t&(r&a))) | 0 | 0 | 0 | 0 | not entailment |
~(((w&((s&u)>b))|~((i&(~(b)|s))))) | (i&i) | 1 | 1 | 1 | 1 | entailment |
(((s>u)|u)&((b&d)&u)) | ~((~((((b&b)|b)|~(i)))&~(b))) | 1 | 0 | 0 | 0 | entailment |
~(((w&((s&u)>b))|~((i&(~(b)|s))))) | ~((~((((b&b)|b)|~(i)))&~(b))) | 0 | 1 | 1 | 0 | not entailment |
(((s>u)|u)&((b&d)&u)) | (i&i) | 0 | 1 | 0 | 0 | not entailment |
(~((i>w))|(i|(w|b))) | (((d|b)|w)|(d|i)) | 1 | 1 | 0 | 0 | entailment |
(~(s)|((((b&i)>(i&b))&(s|d))>b)) | (~((((i&u)>d)>b))>((s>d)|i)) | 1 | 1 | 0 | 0 | entailment |
(~((i>w))|(i|(w|b))) | (~((((i&u)>d)>b))>((s>d)|i)) | 0 | 0 | 0 | 0 | not entailment |
(~(s)|((((b&i)>(i&b))&(s|d))>b)) | (((d|b)|w)|(d|i)) | 0 | 1 | 0 | 0 | not entailment |
(b&s) | (s|(s&u)) | 1 | 0 | 0 | 0 | entailment |
~(i) | ~((((s&b)&d)&((i&(i|(s&d)))&i))) | 1 | 0 | 0 | 0 | entailment |
(b&s) | ~((((s&b)&d)&((i&(i|(s&d)))&i))) | 0 | 0 | 0 | 0 | not entailment |
~(i) | (s|(s&u)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((~(((d|d)|d))>b)))>~((b|u)))) | (s>((b|d)|b)) | 1 | 1 | 0 | 0 | entailment |
((d|s)&((u|d)&((i>((b>b)|w))>w))) | ((w&((i>s)&u))|(~(w)>(~((s&s))&w))) | 1 | 0 | 1 | 0 | entailment |
~((~(~((~(((d|d)|d))>b)))>~((b|u)))) | ((w&((i>s)&u))|(~(w)>(~((s&s))&w))) | 0 | 1 | 0 | 0 | not entailment |
((d|s)&((u|d)&((i>((b>b)|w))>w))) | (s>((b|d)|b)) | 0 | 1 | 1 | 0 | not entailment |
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