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>((w&~(h))&r)) | ((~(n)&(r&w))|(n|((n&h)|w))) | 0 | 0 | 1 | 0 | not entailment |
~(((~((r&(n&(w>n))))|r)&(h|~(~(n))))) | (h>(w&(r>r))) | 1 | 1 | 1 | 0 | entailment |
(((r|(w>n))>w)>~((w|w))) | (((w>n)>n)>(r>(n&((w|n)|n)))) | 1 | 0 | 1 | 0 | entailment |
~(((~((r&(n&(w>n))))|r)&(h|~(~(n))))) | (((w>n)>n)>(r>(n&((w|n)|n)))) | 0 | 1 | 1 | 0 | not entailment |
(((r|(w>n))>w)>~((w|w))) | (h>(w&(r>r))) | 0 | 1 | 0 | 0 | not entailment |
~((y|(s>~(t)))) | (q|(s&(y>t))) | 1 | 1 | 0 | 0 | entailment |
~(((~(((y>y)|y))|q)|o)) | (((q>~(t))|y)&((o|(o&y))|((q&q)>o))) | 1 | 0 | 0 | 0 | entailment |
~((y|(s>~(t)))) | (((q>~(t))|y)&((o|(o&y))|((q&q)>o))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((y>y)|y))|q)|o)) | (q|(s&(y>t))) | 0 | 1 | 0 | 0 | not entailment |
((((y|y)>((s&y)|o))|t)&q) | ~(((o&~(~(~(q))))&(s>s))) | 1 | 0 | 1 | 0 | entailment |
((((t|(q&y))|(q>q))>t)&(s&((~(s)>t)&s))) | (~(((t|o)&t))>o) | 1 | 1 | 0 | 0 | entailment |
((((y|y)>((s&y)|o))|t)&q) | (~(((t|o)&t))>o) | 0 | 1 | 1 | 1 | not entailment |
((((t|(q&y))|(q>q))>t)&(s&((~(s)>t)&s))) | ~(((o&~(~(~(q))))&(s>s))) | 0 | 1 | 0 | 0 | not entailment |
(((~(~(q))&s)&(t&(t|o)))&(s|q)) | (~(~((s|(y>t))))>s) | 1 | 1 | 0 | 0 | entailment |
(~(~((t|q)))&~(o)) | ~((q&o)) | 1 | 1 | 1 | 0 | entailment |
(((~(~(q))&s)&(t&(t|o)))&(s|q)) | ~((q&o)) | 0 | 1 | 1 | 0 | not entailment |
(~(~((t|q)))&~(o)) | (~(~((s|(y>t))))>s) | 0 | 1 | 0 | 0 | not entailment |
((t|~(((o&(q|t))|(~(s)&t))))>(o&s)) | (~(~(((o>~((o>y)))>t)))|(s|((q|s)|y))) | 1 | 0 | 0 | 0 | entailment |
~((y|o)) | ((((o>o)>o)>(s>q))|((~(~((s>q)))|o)>y)) | 1 | 0 | 0 | 0 | entailment |
((t|~(((o&(q|t))|(~(s)&t))))>(o&s)) | ((((o>o)>o)>(s>q))|((~(~((s>q)))|o)>y)) | 0 | 0 | 0 | 0 | not entailment |
~((y|o)) | (~(~(((o>~((o>y)))>t)))|(s|((q|s)|y))) | 0 | 0 | 0 | 0 | not entailment |
(y|(y|t)) | (t|((y>o)>o)) | 1 | 0 | 0 | 0 | entailment |
~((t|q)) | ~((((s|~(q))>q)|q)) | 1 | 0 | 0 | 0 | entailment |
(y|(y|t)) | ~((((s|~(q))>q)|q)) | 0 | 0 | 0 | 0 | not entailment |
~((t|q)) | (t|((y>o)>o)) | 0 | 0 | 0 | 0 | not entailment |
(t&q) | (((t|s)&(o|q))&(((q>t)>(q&t))>t)) | 1 | 0 | 0 | 0 | entailment |
(t&q) | (q>y) | 0 | 1 | 0 | 0 | not entailment |
~(q) | (((t|s)&(o|q))&(((q>t)>(q&t))>t)) | 0 | 0 | 0 | 0 | not entailment |
((y>(s&(q>q)))&o) | ((s&(o&o))|(((o|q)|o)|(y&(o|y)))) | 1 | 0 | 1 | 0 | entailment |
((~((q|q))&(y|(s>~((y&t)))))>~(s)) | (~((q|t))>~(~(~((y&s))))) | 1 | 1 | 1 | 1 | entailment |
((y>(s&(q>q)))&o) | (~((q|t))>~(~(~((y&s))))) | 0 | 0 | 0 | 0 | not entailment |
((~((q|q))&(y|(s>~((y&t)))))>~(s)) | ((s&(o&o))|(((o|q)|o)|(y&(o|y)))) | 0 | 1 | 0 | 0 | not entailment |
~((q|(q|~(~(~(~(((y>s)|(t&t))))))))) | (q>(q>y)) | 1 | 1 | 1 | 1 | entailment |
(((y>t)&q)&(q>(s|t))) | (s|q) | 1 | 1 | 1 | 1 | entailment |
~((q|(q|~(~(~(~(((y>s)|(t&t))))))))) | (s|q) | 0 | 1 | 1 | 0 | not entailment |
(((y>t)&q)&(q>(s|t))) | (q>(q>y)) | 0 | 1 | 1 | 0 | not entailment |
(t&((q|t)>((t&~(q))>(o|q)))) | (o|(t|((o&t)|o))) | 1 | 1 | 1 | 1 | entailment |
((s>(y>o))>((((t|(t>o))>t)&q)&y)) | (((s&~(((y&y)&t)))|(y|o))|(o&s)) | 1 | 1 | 1 | 0 | entailment |
(t&((q|t)>((t&~(q))>(o|q)))) | (((s&~(((y&y)&t)))|(y|o))|(o&s)) | 0 | 0 | 0 | 0 | not entailment |
((s>(y>o))>((((t|(t>o))>t)&q)&y)) | (o|(t|((o&t)|o))) | 0 | 1 | 1 | 0 | not entailment |
(s&((~((o|t))>(s>t))&o)) | ((t>s)>s) | 1 | 1 | 1 | 1 | entailment |
~((o|s)) | (s>(((t|q)&t)|~(q))) | 1 | 0 | 0 | 0 | entailment |
(s&((~((o|t))>(s>t))&o)) | (s>(((t|q)&t)|~(q))) | 0 | 1 | 0 | 0 | not entailment |
~((o|s)) | ((t>s)>s) | 0 | 1 | 0 | 0 | not entailment |
(~(q)&y) | ~(~((~((o|y))>q))) | 1 | 0 | 0 | 0 | entailment |
(((y&y)>~(y))&((y&q)|t)) | ((o&~(y))|(o>~(y))) | 1 | 1 | 0 | 0 | entailment |
(~(q)&y) | ((o&~(y))|(o>~(y))) | 0 | 0 | 0 | 0 | not entailment |
(((y&y)>~(y))&((y&q)|t)) | ~(~((~((o|y))>q))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(~(~(o)))))&(o|~(s))) | ~(~((o>s))) | 1 | 1 | 1 | 0 | entailment |
~((((s&q)>s)>~(((t>s)&o)))) | (o|q) | 1 | 1 | 1 | 0 | entailment |
(~(~(~(~(~(o)))))&(o|~(s))) | (o|q) | 0 | 1 | 0 | 0 | not entailment |
~((((s&q)>s)>~(((t>s)&o)))) | ~(~((o>s))) | 0 | 1 | 1 | 0 | not entailment |
((((t>t)>t)&s)&~(~((y|((t|o)|(o|s)))))) | ~(((t>(o&~(s)))|~((t|s)))) | 1 | 1 | 1 | 0 | entailment |
((t|q)&(((t>(~(q)|y))>t)>~(((t|t)|q)))) | ((s|~(s))>q) | 1 | 1 | 0 | 0 | entailment |
((((t>t)>t)&s)&~(~((y|((t|o)|(o|s)))))) | ((s|~(s))>q) | 0 | 1 | 0 | 0 | not entailment |
((t|q)&(((t>(~(q)|y))>t)>~(((t|t)|q)))) | ~(((t>(o&~(s)))|~((t|s)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(i)) | (~(~((a>i)))|(l>~(g))) | 1 | 0 | 0 | 0 | entailment |
((x&f)|((l&l)&(g&x))) | (a|(x|n)) | 1 | 1 | 0 | 0 | entailment |
~(~(i)) | (a|(x|n)) | 0 | 1 | 0 | 0 | not entailment |
((x&f)|((l&l)&(g&x))) | (~(~((a>i)))|(l>~(g))) | 0 | 0 | 0 | 0 | not entailment |
(a&(n&(n&i))) | (i&(n>(g>g))) | 1 | 1 | 0 | 0 | entailment |
~(((~((x|(x>a)))|x)|b)) | (x>((~(g)|x)&f)) | 1 | 1 | 0 | 0 | entailment |
(a&(n&(n&i))) | (x>((~(g)|x)&f)) | 0 | 0 | 0 | 0 | not entailment |
~(((~((x|(x>a)))|x)|b)) | (i&(n>(g>g))) | 0 | 1 | 0 | 0 | not entailment |
(~(t)&x) | ((g>x)|~(~(~(f)))) | 1 | 0 | 0 | 0 | entailment |
((s|n)&(i&~(a))) | (n>(g>i)) | 1 | 1 | 0 | 0 | entailment |
(~(t)&x) | (n>(g>i)) | 0 | 1 | 0 | 0 | not entailment |
((s|n)&(i&~(a))) | ((g>x)|~(~(~(f)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(b))|((t&(l>l))>l))) | (n>(((f&i)|~(g))|~(~(~(~(~(b))))))) | 1 | 0 | 0 | 0 | entailment |
((x&(a>b))&((s&g)&f)) | ((~((a&s))|f)|~((((g>f)&i)&(n>s)))) | 1 | 0 | 0 | 0 | entailment |
~((~(~(b))|((t&(l>l))>l))) | ((~((a&s))|f)|~((((g>f)&i)&(n>s)))) | 0 | 0 | 0 | 0 | not entailment |
((x&(a>b))&((s&g)&f)) | (n>(((f&i)|~(g))|~(~(~(~(~(b))))))) | 0 | 0 | 0 | 0 | not entailment |
~((f>b)) | (((g>n)>~(~(g)))>(n|~(b))) | 1 | 0 | 0 | 0 | entailment |
~((((f|a)&x)|l)) | (a>~(x)) | 1 | 1 | 1 | 1 | entailment |
~((f>b)) | (a>~(x)) | 0 | 1 | 0 | 0 | not entailment |
~((((f|a)&x)|l)) | (((g>n)>~(~(g)))>(n|~(b))) | 0 | 0 | 0 | 0 | not entailment |
(~((~((i&x))|(b&s)))&((s>t)&b)) | ((((n>(g&b))|((i|s)>f))|~(f))>x) | 1 | 1 | 0 | 0 | entailment |
((l&(g>x))&(f|t)) | (((a>l)|(a>g))|(((g>(s&b))&s)|t)) | 1 | 0 | 0 | 0 | entailment |
(~((~((i&x))|(b&s)))&((s>t)&b)) | (((a>l)|(a>g))|(((g>(s&b))&s)|t)) | 0 | 1 | 0 | 0 | not entailment |
((l&(g>x))&(f|t)) | ((((n>(g&b))|((i|s)>f))|~(f))>x) | 0 | 0 | 0 | 0 | not entailment |
((n&t)&x) | (b>x) | 1 | 1 | 0 | 0 | entailment |
~((n|i)) | ((((b>s)&n)&~(i))>(a>f)) | 1 | 0 | 0 | 0 | entailment |
((n&t)&x) | ((((b>s)&n)&~(i))>(a>f)) | 0 | 0 | 0 | 0 | not entailment |
~((n|i)) | (b>x) | 0 | 1 | 0 | 0 | not entailment |
(~((b>t))&((~(g)>f)>a)) | (((b&l)&t)>~(~(x))) | 1 | 1 | 0 | 0 | entailment |
~(~((l&(((i&~(g))>(i&a))>i)))) | (l|(((s|(x|x))|~(l))&~(~(f)))) | 1 | 1 | 0 | 0 | entailment |
(~((b>t))&((~(g)>f)>a)) | (l|(((s|(x|x))|~(l))&~(~(f)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((l&(((i&~(g))>(i&a))>i)))) | (((b&l)&t)>~(~(x))) | 0 | 1 | 0 | 0 | not entailment |
(a&(g&g)) | ~(~((n|(g>a)))) | 1 | 0 | 0 | 0 | entailment |
~(((x|a)|((a|l)&~(~(n))))) | ((a&((s&g)|(t>l)))>(b>(t>i))) | 1 | 1 | 0 | 0 | entailment |
(a&(g&g)) | ((a&((s&g)|(t>l)))>(b>(t>i))) | 0 | 0 | 0 | 0 | not entailment |
~(((x|a)|((a|l)&~(~(n))))) | ~(~((n|(g>a)))) | 0 | 1 | 0 | 0 | not entailment |
((x&~(i))&~((~(((x&f)>l))&(~(l)>g)))) | (((b&a)>(l|x))|(x|g)) | 1 | 1 | 0 | 0 | entailment |
~((b>(n>~(s)))) | ((t&((i&a)&~(l)))|(b>s)) | 1 | 0 | 0 | 0 | entailment |
((x&~(i))&~((~(((x&f)>l))&(~(l)>g)))) | ((t&((i&a)&~(l)))|(b>s)) | 0 | 1 | 0 | 0 | not entailment |
~((b>(n>~(s)))) | (((b&a)>(l|x))|(x|g)) | 0 | 0 | 0 | 0 | not entailment |
((~((b>a))&(f|f))&((s>b)&f)) | (~((a&t))|~(b)) | 1 | 1 | 0 | 0 | entailment |
((x|x)&((b|(a|n))|(i|(i&s)))) | (~(x)>x) | 1 | 1 | 1 | 1 | entailment |
((~((b>a))&(f|f))&((s>b)&f)) | (~(x)>x) | 0 | 1 | 0 | 0 | not entailment |
((x|x)&((b|(a|n))|(i|(i&s)))) | (~((a&t))|~(b)) | 0 | 1 | 0 | 0 | not entailment |
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