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 |
|---|---|---|---|---|---|---|
~(b) | ~(((a>y)&~(~(b)))) | 1 | 0 | 0 | 0 | entailment |
~(~((((x&y)|x)&a))) | ~(((a>y)&~(~(b)))) | 0 | 1 | 0 | 0 | not entailment |
~(b) | (x&x) | 0 | 1 | 0 | 0 | not entailment |
((o>y)>o) | (~(o)>x) | 1 | 1 | 0 | 0 | entailment |
~(((((b>x)|(b|o))&o)|o)) | (((y>y)&o)>(a>y)) | 1 | 1 | 0 | 0 | entailment |
((o>y)>o) | (((y>y)&o)>(a>y)) | 0 | 0 | 0 | 0 | not entailment |
~(((((b>x)|(b|o))&o)|o)) | (~(o)>x) | 0 | 1 | 1 | 0 | not entailment |
((((~(~(a))>~(y))>(y&y))&o)&(x|a)) | (~((~(b)&~(((o>(x>o))&o))))&(a>y)) | 1 | 1 | 0 | 0 | entailment |
~((x|~((~(b)|(o|(x&b)))))) | ~(((x&(o>(y>o)))&a)) | 1 | 1 | 0 | 0 | entailment |
((((~(~(a))>~(y))>(y&y))&o)&(x|a)) | ~(((x&(o>(y>o)))&a)) | 0 | 1 | 1 | 0 | not entailment |
~((x|~((~(b)|(o|(x&b)))))) | (~((~(b)&~(((o>(x>o))&o))))&(a>y)) | 0 | 0 | 0 | 0 | not entailment |
(~(x)&((r|((p>d)>~(s)))&(q>q))) | ((p|~(j))|(x>k)) | 1 | 1 | 0 | 0 | entailment |
~(((p|j)>s)) | (~(j)>(p|x)) | 1 | 1 | 0 | 0 | entailment |
(~(x)&((r|((p>d)>~(s)))&(q>q))) | (~(j)>(p|x)) | 0 | 1 | 0 | 0 | not entailment |
~(((p|j)>s)) | ((p|~(j))|(x>k)) | 0 | 0 | 0 | 0 | not entailment |
((p>p)&(~((((j&k)|q)>s))&((j>s)|s))) | ~((~((~(x)>t))&s)) | 1 | 1 | 0 | 0 | entailment |
(((d|k)&(t>r))&s) | ((s|q)&s) | 1 | 1 | 0 | 0 | entailment |
((p>p)&(~((((j&k)|q)>s))&((j>s)|s))) | ((s|q)&s) | 0 | 1 | 1 | 1 | not entailment |
(((d|k)&(t>r))&s) | ~((~((~(x)>t))&s)) | 0 | 0 | 0 | 0 | not entailment |
~((~((p>k))>(s|q))) | (((k>k)&((~((s|d))&x)&p))>~(k)) | 1 | 0 | 0 | 0 | entailment |
(((k&(((d|s)>(r|s))&j))&t)&(q&p)) | ((j>~(k))>(k|k)) | 1 | 1 | 1 | 1 | entailment |
~((~((p>k))>(s|q))) | ((j>~(k))>(k|k)) | 0 | 1 | 0 | 0 | not entailment |
(((k&(((d|s)>(r|s))&j))&t)&(q&p)) | (((k>k)&((~((s|d))&x)&p))>~(k)) | 0 | 1 | 0 | 0 | not entailment |
((r>(t&(p&r)))&(((t&p)&t)&(x>d))) | (((p>s)&q)|p) | 1 | 1 | 0 | 0 | entailment |
~((((s|p)&d)|(k>(x|d)))) | ((j|k)>~(~(((d&~((t&k)))|k)))) | 1 | 0 | 0 | 0 | entailment |
((r>(t&(p&r)))&(((t&p)&t)&(x>d))) | ((j|k)>~(~(((d&~((t&k)))|k)))) | 0 | 1 | 0 | 0 | not entailment |
~((((s|p)&d)|(k>(x|d)))) | (((p>s)&q)|p) | 0 | 1 | 0 | 0 | not entailment |
((r|s)&(((k|t)&(p|((r&k)&s)))&(r|k))) | ((~(x)|(r&k))>(j>(j>(k|p)))) | 1 | 1 | 0 | 0 | entailment |
(r&(d&t)) | (r>(r&t)) | 1 | 1 | 1 | 0 | entailment |
((r|s)&(((k|t)&(p|((r&k)&s)))&(r|k))) | (r>(r&t)) | 0 | 1 | 1 | 0 | not entailment |
(r&(d&t)) | ((~(x)|(r&k))>(j>(j>(k|p)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((p&(p|t))&(p&((d&s)&~(x)))))) | ((k|d)>~(((~((d|x))>(x>p))>(~(p)&j)))) | 1 | 0 | 0 | 0 | entailment |
~((~(j)|~(~(((k&j)|s))))) | (((d>~(s))>(q&(r|q)))>((q|q)|t)) | 1 | 0 | 0 | 0 | entailment |
~(~(((p&(p|t))&(p&((d&s)&~(x)))))) | (((d>~(s))>(q&(r|q)))>((q|q)|t)) | 0 | 1 | 0 | 0 | not entailment |
~((~(j)|~(~(((k&j)|s))))) | ((k|d)>~(((~((d|x))>(x>p))>(~(p)&j)))) | 0 | 0 | 0 | 0 | not entailment |
(~(t)&s) | (~(s)>~(~((r|j)))) | 1 | 0 | 0 | 0 | entailment |
(((~(s)|s)&(d|(d|(x>d))))>((d&k)&(t|d))) | ((d|x)|((x&(j|s))|(q|j))) | 1 | 1 | 0 | 0 | entailment |
(~(t)&s) | ((d|x)|((x&(j|s))|(q|j))) | 0 | 0 | 0 | 0 | not entailment |
(((~(s)|s)&(d|(d|(x>d))))>((d&k)&(t|d))) | (~(s)>~(~((r|j)))) | 0 | 1 | 0 | 0 | not entailment |
(~(k)&~(~((t|(t>p))))) | ((x&(~((k>p))&x))>(s>((x|x)&(k&~(s))))) | 1 | 0 | 0 | 0 | entailment |
((k&s)&x) | ((p&(x>~((x|k))))>((j|p)>k)) | 1 | 0 | 0 | 0 | entailment |
(~(k)&~(~((t|(t>p))))) | ((p&(x>~((x|k))))>((j|p)>k)) | 0 | 0 | 0 | 0 | not entailment |
((k&s)&x) | ((x&(~((k>p))&x))>(s>((x|x)&(k&~(s))))) | 0 | 0 | 0 | 0 | not entailment |
~(t) | ((d|(t>(d&(((p|t)>j)>p))))|(x>~(q))) | 1 | 0 | 0 | 0 | entailment |
~(((((x&s)|x)>(p|(k|r)))|s)) | (~(((j&p)>t))>(d|d)) | 1 | 1 | 0 | 0 | entailment |
~(t) | (~(((j&p)>t))>(d|d)) | 0 | 0 | 0 | 0 | not entailment |
~(((((x&s)|x)>(p|(k|r)))|s)) | ((d|(t>(d&(((p|t)>j)>p))))|(x>~(q))) | 0 | 0 | 0 | 0 | not entailment |
(t&q) | (((j>~((~(q)&j)))>t)&(q&(~(d)|t))) | 1 | 0 | 0 | 0 | entailment |
((k&q)&~(~((~(t)&(j&j))))) | ((t&(~((x>~(r)))>t))>~(j)) | 1 | 1 | 0 | 0 | entailment |
(t&q) | ((t&(~((x>~(r)))>t))>~(j)) | 0 | 0 | 0 | 0 | not entailment |
((k&q)&~(~((~(t)&(j&j))))) | (((j>~((~(q)&j)))>t)&(q&(~(d)|t))) | 0 | 0 | 0 | 0 | not entailment |
~((((r&(q>p))|x)|d)) | (k|(~(r)|(p>q))) | 1 | 1 | 0 | 0 | entailment |
~((((d|r)|x)>s)) | (~((k>(d>~(j))))|~(s)) | 1 | 0 | 0 | 0 | entailment |
~((((r&(q>p))|x)|d)) | (~((k>(d>~(j))))|~(s)) | 0 | 0 | 0 | 0 | not entailment |
~((((d|r)|x)>s)) | (k|(~(r)|(p>q))) | 0 | 1 | 0 | 0 | not entailment |
~(x) | (~((q&(p&x)))|(r|~((p>q)))) | 1 | 0 | 0 | 0 | entailment |
~(s) | (r|(s>x)) | 1 | 0 | 0 | 0 | entailment |
~(x) | (r|(s>x)) | 0 | 0 | 0 | 0 | not entailment |
~(s) | (~((q&(p&x)))|(r|~((p>q)))) | 0 | 0 | 0 | 0 | not entailment |
(~((k|s))&r) | (r|(d|x)) | 1 | 1 | 0 | 0 | entailment |
(p&k) | (r>p) | 1 | 1 | 0 | 0 | entailment |
(~((k|s))&r) | (r>p) | 0 | 1 | 0 | 0 | not entailment |
(p&k) | (r|(d|x)) | 0 | 0 | 0 | 0 | not entailment |
~((x|(t&s))) | ~(~(((x>d)|(k|q)))) | 1 | 0 | 0 | 0 | entailment |
(p|s) | ((~(x)>~(((q>d)&~((s|p)))))|~(~(j))) | 1 | 0 | 0 | 0 | entailment |
~((x|(t&s))) | ((~(x)>~(((q>d)&~((s|p)))))|~(~(j))) | 0 | 0 | 0 | 0 | not entailment |
(p|s) | ~(~(((x>d)|(k|q)))) | 0 | 0 | 0 | 0 | not entailment |
~(((x|p)|(~(s)>d))) | ((~(s)|j)&((x&s)>t)) | 1 | 1 | 0 | 0 | entailment |
((~((t>~((r|x))))|(p&p))&((x&p)&x)) | (~(t)>(x&~(t))) | 1 | 1 | 1 | 0 | entailment |
~(((x|p)|(~(s)>d))) | (~(t)>(x&~(t))) | 0 | 1 | 0 | 0 | not entailment |
((~((t>~((r|x))))|(p&p))&((x&p)&x)) | ((~(s)|j)&((x&s)>t)) | 0 | 1 | 0 | 0 | not entailment |
~(((s&(~(q)&p))>((p>k)&q))) | (((r&p)&(t>j))>(d|s)) | 1 | 1 | 0 | 0 | entailment |
(~(x)&p) | (~((s>p))|(((((p>x)|p)&x)>r)&~(x))) | 1 | 0 | 0 | 0 | entailment |
~(((s&(~(q)&p))>((p>k)&q))) | (~((s>p))|(((((p>x)|p)&x)>r)&~(x))) | 0 | 0 | 0 | 0 | not entailment |
(~(x)&p) | (((r&p)&(t>j))>(d|s)) | 0 | 0 | 0 | 0 | not entailment |
~(((((k&s)|(r>p))>(s>j))>((r|d)|(t>d)))) | ~(~(((d&t)|(~(d)|s)))) | 1 | 1 | 1 | 0 | entailment |
((~(~(((j>j)|~(j))))&(((x&s)|r)|j))&r) | ((x&(d>(r|x)))>r) | 1 | 1 | 0 | 0 | entailment |
~(((((k&s)|(r>p))>(s>j))>((r|d)|(t>d)))) | ((x&(d>(r|x)))>r) | 0 | 1 | 0 | 0 | not entailment |
((~(~(((j>j)|~(j))))&(((x&s)|r)|j))&r) | ~(~(((d&t)|(~(d)|s)))) | 0 | 1 | 0 | 0 | not entailment |
((t>a)&(t>~((q>t)))) | (t>(a&~(a))) | 1 | 1 | 1 | 0 | entailment |
~(q) | (t>(a&~(a))) | 0 | 0 | 0 | 0 | not entailment |
((t>a)&(t>~((q>t)))) | (q>a) | 0 | 1 | 1 | 0 | not entailment |
(~((a>q))&~(t)) | ~(((~(q)&(a&q))|q)) | 1 | 0 | 1 | 0 | entailment |
(((q&a)&(~((a|t))&(q>a)))|((q&t)&a)) | (((q&t)|q)&a) | 1 | 1 | 1 | 1 | entailment |
(~((a>q))&~(t)) | (((q&t)|q)&a) | 0 | 1 | 1 | 0 | not entailment |
(((q&a)&(~((a|t))&(q>a)))|((q&t)&a)) | ~(((~(q)&(a&q))|q)) | 0 | 1 | 1 | 1 | not entailment |
(t>((t&q)>~((q|(a|(~((q>t))|a)))))) | ~((~((~(t)|~(q)))&t)) | 1 | 1 | 1 | 1 | entailment |
((a|(a&q))&((q>t)|t)) | (t>a) | 1 | 1 | 1 | 0 | entailment |
(t>((t&q)>~((q|(a|(~((q>t))|a)))))) | (t>a) | 0 | 1 | 1 | 0 | not entailment |
((a|(a&q))&((q>t)|t)) | ~((~((~(t)|~(q)))&t)) | 0 | 0 | 1 | 0 | not entailment |
(((t|q)>(t>a))&q) | (t>(~(q)>(a&a))) | 1 | 1 | 1 | 1 | entailment |
~((a|(q|a))) | (q>((((t|q)&a)>(t|q))>(a|(a|t)))) | 1 | 0 | 0 | 0 | entailment |
(((t|q)>(t>a))&q) | (q>((((t|q)&a)>(t|q))>(a|(a|t)))) | 0 | 0 | 1 | 0 | not entailment |
~((a|(q|a))) | (t>(~(q)>(a&a))) | 0 | 0 | 0 | 0 | not entailment |
(a&(a>t)) | ((~(a)>(t|(t&q)))&(t&a)) | 1 | 0 | 0 | 0 | entailment |
(~(t)&(~(((((t&q)&a)>q)>a))>q)) | (~(t)|q) | 1 | 1 | 1 | 1 | entailment |
(a&(a>t)) | (~(t)|q) | 0 | 1 | 0 | 0 | not entailment |
(~(t)&(~(((((t&q)&a)>q)>a))>q)) | ((~(a)>(t|(t&q)))&(t&a)) | 0 | 1 | 1 | 1 | not entailment |
(a&(t&q)) | ((a|a)&((q&(a>(a&q)))|~(q))) | 1 | 0 | 1 | 0 | entailment |
((a>(~((a>q))&a))&~((t>q))) | ~(q) | 1 | 1 | 1 | 1 | entailment |
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