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&((s>((s>g)&(g>v)))&(~(v)&g))) | ~((s&~((((v|d)>v)&(w|y))))) | 1 | 1 | 0 | 0 | entailment |
(s&((g&y)&w)) | ~((s&~((((v|d)>v)&(w|y))))) | 0 | 0 | 0 | 0 | not entailment |
(u&((s>((s>g)&(g>v)))&(~(v)&g))) | ((((s|y)&(~(l)>d))|g)>(g>s)) | 0 | 1 | 0 | 0 | not entailment |
((w&l)&s) | ((v>s)|y) | 1 | 1 | 0 | 0 | entailment |
((y|(g|y))&v) | ((((v&g)|y)|(g|g))>v) | 1 | 0 | 1 | 0 | entailment |
((w&l)&s) | ((((v&g)|y)|(g|g))>v) | 0 | 0 | 0 | 0 | not entailment |
((y|(g|y))&v) | ((v>s)|y) | 0 | 1 | 0 | 0 | not entailment |
~(((w|s)|d)) | ~((l&d)) | 1 | 1 | 0 | 0 | entailment |
(((v|((s&g)>(w&w)))&v)&y) | (g>v) | 1 | 1 | 1 | 1 | entailment |
~(((w|s)|d)) | (g>v) | 0 | 1 | 0 | 0 | not entailment |
(((v|((s&g)>(w&w)))&v)&y) | ~((l&d)) | 0 | 1 | 0 | 0 | not entailment |
(v|((u>w)&g)) | (((d>v)|g)|(w|((v>(w>v))>g))) | 1 | 0 | 0 | 0 | entailment |
~(((~(s)&~(u))>u)) | ((d>(s>l))|w) | 1 | 1 | 0 | 0 | entailment |
(v|((u>w)&g)) | ((d>(s>l))|w) | 0 | 1 | 0 | 0 | not entailment |
~(((~(s)&~(u))>u)) | (((d>v)|g)|(w|((v>(w>v))>g))) | 0 | 0 | 0 | 0 | not entailment |
~((w>y)) | (w>(y>u)) | 1 | 1 | 0 | 0 | entailment |
((d>l)&y) | (((w|s)>(l|y))|(l|y)) | 1 | 0 | 0 | 0 | entailment |
~((w>y)) | (((w|s)>(l|y))|(l|y)) | 0 | 0 | 0 | 0 | not entailment |
((d>l)&y) | (w>(y>u)) | 0 | 1 | 0 | 0 | not entailment |
((~(~(l))|u)&~(~(w))) | ((y&y)>((v&g)>w)) | 1 | 1 | 0 | 0 | entailment |
(l&l) | (~(~((~(d)>s)))|l) | 1 | 0 | 0 | 0 | entailment |
((~(~(l))|u)&~(~(w))) | (~(~((~(d)>s)))|l) | 0 | 1 | 0 | 0 | not entailment |
(l&l) | ((y&y)>((v&g)>w)) | 0 | 0 | 0 | 0 | not entailment |
((g|(y|(l|(s|v))))&~(((w>g)|~(y)))) | (((y|l)|d)|((g|y)|u)) | 1 | 1 | 0 | 0 | entailment |
(~((w|v))|((~(w)&l)&~((~(s)|(y>s))))) | (((d|w)&~(d))|(v>~((s|(l&l))))) | 1 | 1 | 0 | 0 | entailment |
((g|(y|(l|(s|v))))&~(((w>g)|~(y)))) | (((d|w)&~(d))|(v>~((s|(l&l))))) | 0 | 1 | 0 | 0 | not entailment |
(~((w|v))|((~(w)&l)&~((~(s)|(y>s))))) | (((y|l)|d)|((g|y)|u)) | 0 | 1 | 0 | 0 | not entailment |
((d&y)&w) | ~(((~((l|y))&u)&((w>(s&w))&g))) | 1 | 0 | 0 | 0 | entailment |
((g&(s|y))&((~(s)>w)|v)) | ((l|s)>g) | 1 | 1 | 0 | 0 | entailment |
((d&y)&w) | ((l|s)>g) | 0 | 1 | 0 | 0 | not entailment |
((g&(s|y))&((~(s)>w)|v)) | ~(((~((l|y))&u)&((w>(s&w))&g))) | 0 | 0 | 0 | 0 | not entailment |
((w&y)&~(((~(l)&d)&d))) | (w|u) | 1 | 1 | 0 | 0 | entailment |
((g|y)>v) | (((~(d)&v)|l)>(g>v)) | 1 | 0 | 0 | 0 | entailment |
((w&y)&~(((~(l)&d)&d))) | (((~(d)&v)|l)>(g>v)) | 0 | 1 | 0 | 0 | not entailment |
((g|y)>v) | (w|u) | 0 | 1 | 0 | 0 | not entailment |
((u|y)>g) | (((l>(y>w))|(v|s))|((s>g)>g)) | 1 | 0 | 0 | 0 | entailment |
((((d|u)&g)>(~(u)|s))>~(s)) | ((s&~(~(((y>(l>u))&(v>d)))))>v) | 1 | 0 | 0 | 0 | entailment |
((u|y)>g) | ((s&~(~(((y>(l>u))&(v>d)))))>v) | 0 | 0 | 0 | 0 | not entailment |
((((d|u)&g)>(~(u)|s))>~(s)) | (((l>(y>w))|(v|s))|((s>g)>g)) | 0 | 1 | 0 | 0 | not entailment |
(((l&~(~((g|l))))|~(y))>s) | (((g|w)>s)|y) | 1 | 1 | 0 | 0 | entailment |
((l&(v|(d&~((u>s)))))&(y>(l&u))) | (~((u>l))>(~((u&((g>s)>d)))>y)) | 1 | 1 | 0 | 0 | entailment |
(((l&~(~((g|l))))|~(y))>s) | (~((u>l))>(~((u&((g>s)>d)))>y)) | 0 | 0 | 0 | 0 | not entailment |
((l&(v|(d&~((u>s)))))&(y>(l&u))) | (((g|w)>s)|y) | 0 | 1 | 0 | 0 | not entailment |
((b&i)&((m&h)|(h|(h&b)))) | (m>b) | 1 | 1 | 1 | 0 | entailment |
(c|v) | ((((k|c)&b)>v)|((v>m)&c)) | 1 | 0 | 0 | 0 | entailment |
((b&i)&((m&h)|(h|(h&b)))) | ((((k|c)&b)>v)|((v>m)&c)) | 0 | 1 | 0 | 0 | not entailment |
(c|v) | (m>b) | 0 | 1 | 0 | 0 | not entailment |
~((((h&b)&(v&k))>(~((z&v))&(i>m)))) | ~(~(k)) | 1 | 1 | 1 | 1 | entailment |
((c|((h&b)&g))&(~(k)>(((c&g)|c)&~(z)))) | ((~(((v>i)>c))>((k|v)>g))|z) | 1 | 1 | 0 | 0 | entailment |
~((((h&b)&(v&k))>(~((z&v))&(i>m)))) | ((~(((v>i)>c))>((k|v)>g))|z) | 0 | 1 | 0 | 0 | not entailment |
((c|((h&b)&g))&(~(k)>(((c&g)|c)&~(z)))) | ~(~(k)) | 0 | 1 | 1 | 1 | not entailment |
((v|~(z))&~(((m&g)>i))) | (m|(k>(z>b))) | 1 | 1 | 0 | 0 | entailment |
(k&v) | ((b>b)&k) | 1 | 0 | 0 | 0 | entailment |
((v|~(z))&~(((m&g)>i))) | ((b>b)&k) | 0 | 1 | 0 | 0 | not entailment |
(k&v) | (m|(k>(z>b))) | 0 | 0 | 0 | 0 | not entailment |
~(((v&g)|v)) | (v>((h>k)>((g|i)>(~(~((m&z)))&k)))) | 1 | 0 | 0 | 0 | entailment |
(~((r>~(~(((k&g)|k)))))&(v>c)) | ((~((k>~((h>(r&~(m))))))>((k&c)|c))|z) | 1 | 0 | 0 | 0 | entailment |
~(((v&g)|v)) | ((~((k>~((h>(r&~(m))))))>((k&c)|c))|z) | 0 | 0 | 0 | 0 | not entailment |
(~((r>~(~(((k&g)|k)))))&(v>c)) | (v>((h>k)>((g|i)>(~(~((m&z)))&k)))) | 0 | 0 | 0 | 0 | not entailment |
(((b>i)&m)&~(v)) | (~((c|~((((h>~(z))>(k>c))>k))))>m) | 1 | 0 | 0 | 0 | entailment |
((h|i)&(b&~((i&v)))) | ((c|c)|b) | 1 | 1 | 0 | 0 | entailment |
(((b>i)&m)&~(v)) | ((c|c)|b) | 0 | 1 | 0 | 0 | not entailment |
((h|i)&(b&~((i&v)))) | (~((c|~((((h>~(z))>(k>c))>k))))>m) | 0 | 0 | 0 | 0 | not entailment |
~((((v>(h&b))&(g&k))>~((i>b)))) | ((r>v)|~((~(((m&~(k))&i))>v))) | 1 | 1 | 0 | 0 | entailment |
(m&~(h)) | ((k>m)|z) | 1 | 1 | 0 | 0 | entailment |
~((((v>(h&b))&(g&k))>~((i>b)))) | ((k>m)|z) | 0 | 1 | 0 | 0 | not entailment |
(m&~(h)) | ((r>v)|~((~(((m&~(k))&i))>v))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((b&v)&((r>z)|(z|v))))) | ((v>c)|((c>((m|z)>z))&b)) | 1 | 1 | 0 | 0 | entailment |
(z&(~((v&c))>(~(((r&h)|m))>m))) | ((h|(b&~(k)))|(~((~(h)>i))>z)) | 1 | 1 | 0 | 0 | entailment |
~(~(((b&v)&((r>z)|(z|v))))) | ((h|(b&~(k)))|(~((~(h)>i))>z)) | 0 | 0 | 0 | 0 | not entailment |
(z&(~((v&c))>(~(((r&h)|m))>m))) | ((v>c)|((c>((m|z)>z))&b)) | 0 | 1 | 0 | 0 | not entailment |
(k|v) | (((~(r)|h)>(b|~(z)))>((m>(v|c))|k)) | 1 | 0 | 0 | 0 | entailment |
((v|b)&(r&h)) | (c|(z>h)) | 1 | 1 | 0 | 0 | entailment |
(k|v) | (c|(z>h)) | 0 | 0 | 0 | 0 | not entailment |
((v|b)&(r&h)) | (((~(r)|h)>(b|~(z)))>((m>(v|c))|k)) | 0 | 0 | 0 | 0 | not entailment |
((z|((h&(k&m))&b))&((v|v)&r)) | ((z|v)|(k|~(h))) | 1 | 1 | 1 | 0 | entailment |
~(((v>(z&~(m)))>v)) | (~(v)|((h|(g|(v>c)))&(m|(h|(i|v))))) | 1 | 0 | 0 | 0 | entailment |
((z|((h&(k&m))&b))&((v|v)&r)) | (~(v)|((h|(g|(v>c)))&(m|(h|(i|v))))) | 0 | 0 | 0 | 0 | not entailment |
~(((v>(z&~(m)))>v)) | ((z|v)|(k|~(h))) | 0 | 1 | 0 | 0 | not entailment |
(k&~((((k&c)&r)&(b|((g>r)&h))))) | (((g|g)|h)>k) | 1 | 1 | 1 | 0 | entailment |
((r|(((c>h)&m)>i))>~((k>(m>(b|r))))) | ~(r) | 1 | 1 | 1 | 1 | entailment |
(k&~((((k&c)&r)&(b|((g>r)&h))))) | ~(r) | 0 | 1 | 1 | 1 | not entailment |
((r|(((c>h)&m)>i))>~((k>(m>(b|r))))) | (((g|g)|h)>k) | 0 | 1 | 0 | 0 | not entailment |
~((((h>(k|(i>g)))&g)|((g&(h&k))|k))) | (m>((~(~(k))>(m>z))&(~((g>k))|m))) | 1 | 1 | 0 | 0 | entailment |
(v&~(r)) | ~(~((~((~(m)>v))>(i|(m|k))))) | 1 | 0 | 0 | 0 | entailment |
~((((h>(k|(i>g)))&g)|((g&(h&k))|k))) | ~(~((~((~(m)>v))>(i|(m|k))))) | 0 | 1 | 0 | 0 | not entailment |
(v&~(r)) | (m>((~(~(k))>(m>z))&(~((g>k))|m))) | 0 | 0 | 0 | 0 | not entailment |
(k&((g&g)>z)) | (((z>v)>g)>((~(v)>k)|(g>(c|c)))) | 1 | 0 | 0 | 0 | entailment |
~(((k|(k&(m|m)))|h)) | (((~((m|c))>(g|v))&k)>(g|c)) | 1 | 0 | 0 | 0 | entailment |
(k&((g&g)>z)) | (((~((m|c))>(g|v))&k)>(g|c)) | 0 | 0 | 0 | 0 | not entailment |
~(((k|(k&(m|m)))|h)) | (((z>v)>g)>((~(v)>k)|(g>(c|c)))) | 0 | 0 | 0 | 0 | not entailment |
((i&b)&(r|k)) | ((((c&h)|(v>b))|k)|(r&(r|(k&k)))) | 1 | 0 | 0 | 0 | entailment |
~((i|(((r|~(v))&i)|m))) | ((m|m)>z) | 1 | 1 | 0 | 0 | entailment |
((i&b)&(r|k)) | ((m|m)>z) | 0 | 1 | 0 | 0 | not entailment |
~((i|(((r|~(v))&i)|m))) | ((((c&h)|(v>b))|k)|(r&(r|(k&k)))) | 0 | 0 | 0 | 0 | not entailment |
(h&~(~(b))) | ((k|(z&b))>h) | 1 | 1 | 0 | 0 | entailment |
((~((i>(h|r)))|c)&~((i|r))) | (m|(~((i&~(((g>c)|r))))|r)) | 1 | 1 | 0 | 0 | entailment |
(h&~(~(b))) | (m|(~((i&~(((g>c)|r))))|r)) | 0 | 0 | 0 | 0 | not entailment |
((~((i>(h|r)))|c)&~((i|r))) | ((k|(z&b))>h) | 0 | 1 | 0 | 0 | not entailment |
((i|(((h|m)&(g>(h>z)))>(v&c)))&((b&m)&i)) | (((v|(b&i))&m)|(v|v)) | 1 | 1 | 1 | 1 | entailment |
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