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 |
|---|---|---|---|---|---|---|
((g&(i&o))&w) | (((y>i)|~(y))|(((y>o)|~(x))>i)) | 1 | 0 | 0 | 0 | entailment |
((u&~(((g&~(u))|o)))&(~(y)>w)) | (((o|w)|(~(x)&i))>u) | 1 | 1 | 0 | 0 | entailment |
((g&(i&o))&w) | (((o|w)|(~(x)&i))>u) | 0 | 0 | 0 | 0 | not entailment |
((u&~(((g&~(u))|o)))&(~(y)>w)) | (((y>i)|~(y))|(((y>o)|~(x))>i)) | 0 | 1 | 0 | 0 | not entailment |
((((i&(i|u))&g)&y)&(x&w)) | ~(~(i)) | 1 | 1 | 1 | 1 | entailment |
~(((~(w)|g)|~((u&o)))) | (((((x>g)|y)>(x&x))|(w&o))>o) | 1 | 0 | 0 | 0 | entailment |
((((i&(i|u))&g)&y)&(x&w)) | (((((x>g)|y)>(x&x))|(w&o))>o) | 0 | 0 | 0 | 0 | not entailment |
~(((~(w)|g)|~((u&o)))) | ~(~(i)) | 0 | 1 | 0 | 0 | not entailment |
~(~(y)) | (o|(i>~(((o&y)|(~((g|y))|o))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((x|g)|~((((u>g)>y)>(~(y)|y)))))) | (y>((~(y)|~(g))>~(~(x)))) | 1 | 1 | 1 | 1 | entailment |
~(~(y)) | (y>((~(y)|~(g))>~(~(x)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((x|g)|~((((u>g)>y)>(~(y)|y)))))) | (o|(i>~(((o&y)|(~((g|y))|o))))) | 0 | 1 | 0 | 0 | not entailment |
((i&(i&w))|i) | ((((g|i)&(g>g))|y)|(~(o)|((u>~(w))|y))) | 1 | 0 | 0 | 0 | entailment |
~((~(x)&((w|y)|((y|(x|x))>x)))) | ((~((g&((y>y)|i)))>u)|(i>~(~(x)))) | 1 | 0 | 0 | 0 | entailment |
((i&(i&w))|i) | ((~((g&((y>y)|i)))>u)|(i>~(~(x)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(x)&((w|y)|((y|(x|x))>x)))) | ((((g|i)&(g>g))|y)|(~(o)|((u>~(w))|y))) | 0 | 0 | 0 | 0 | not entailment |
((~(u)|(y>x))>~((g>((g|~(w))>(x>x))))) | (((w|u)&((y&(w|i))&~((o>u))))|((u|g)|u)) | 1 | 1 | 0 | 0 | entailment |
~((((g&u)|(w>y))>((u|i)|((x|i)&y)))) | ((~((~(g)|(x|i)))&y)>~((u&(o&u)))) | 1 | 1 | 0 | 0 | entailment |
((~(u)|(y>x))>~((g>((g|~(w))>(x>x))))) | ((~((~(g)|(x|i)))&y)>~((u&(o&u)))) | 0 | 1 | 0 | 0 | not entailment |
~((((g&u)|(w>y))>((u|i)|((x|i)&y)))) | (((w|u)&((y&(w|i))&~((o>u))))|((u|g)|u)) | 0 | 0 | 0 | 0 | not entailment |
(((y>((y>g)&g))|((w&o)|(x>~((x|u)))))&o) | (((x>u)&(~((i|i))|y))>((x>o)|~(i))) | 1 | 1 | 0 | 0 | entailment |
~(~(u)) | (x|(u|(u&g))) | 1 | 0 | 0 | 0 | entailment |
(((y>((y>g)&g))|((w&o)|(x>~((x|u)))))&o) | (x|(u|(u&g))) | 0 | 1 | 1 | 0 | not entailment |
~(~(u)) | (((x>u)&(~((i|i))|y))>((x>o)|~(i))) | 0 | 0 | 0 | 0 | not entailment |
(~(u)&(i|o)) | ~(u) | 1 | 1 | 1 | 1 | entailment |
~(o) | ((g>(o>u))|(((i|g)&x)|x)) | 1 | 0 | 0 | 0 | entailment |
(~(u)&(i|o)) | ((g>(o>u))|(((i|g)&x)|x)) | 0 | 0 | 0 | 0 | not entailment |
~(o) | ~(u) | 0 | 1 | 0 | 0 | not entailment |
~(((y&i)|~((y|g)))) | (((u|y)>(~((g>o))|i))>((u&o)>g)) | 1 | 0 | 0 | 0 | entailment |
((o|u)&~(~((w&(w>o))))) | ~((~(x)&~((o&((o&(((y|g)&u)>w))|u))))) | 1 | 0 | 0 | 0 | entailment |
~(((y&i)|~((y|g)))) | ~((~(x)&~((o&((o&(((y|g)&u)>w))|u))))) | 0 | 0 | 0 | 0 | not entailment |
((o|u)&~(~((w&(w>o))))) | (((u|y)>(~((g>o))|i))>((u&o)>g)) | 0 | 0 | 0 | 0 | not entailment |
~(u) | (~(x)|((~(((~(u)>y)>x))>(i&u))&(u>i))) | 1 | 0 | 0 | 0 | entailment |
(~(y)|~(y)) | (~((~((y>g))|(y&(o>~((x|y))))))|(i&x)) | 1 | 0 | 0 | 0 | entailment |
~(u) | (~((~((y>g))|(y&(o>~((x|y))))))|(i&x)) | 0 | 0 | 0 | 0 | not entailment |
(~(y)|~(y)) | (~(x)|((~(((~(u)>y)>x))>(i&u))&(u>i))) | 0 | 0 | 0 | 0 | not entailment |
(((u>o)&(~((i|u))|(i>u)))&(x&g)) | ((o>x)|(g&~(g))) | 1 | 1 | 1 | 0 | entailment |
((w|w)&((((x>w)|o)>u)|(~(o)&~((w>w))))) | ((~((x|x))&(o|g))|u) | 1 | 1 | 0 | 0 | entailment |
(((u>o)&(~((i|u))|(i>u)))&(x&g)) | ((~((x|x))&(o|g))|u) | 0 | 1 | 1 | 0 | not entailment |
((w|w)&((((x>w)|o)>u)|(~(o)&~((w>w))))) | ((o>x)|(g&~(g))) | 0 | 1 | 0 | 0 | not entailment |
((u&(((y&x)&g)|(y&(o&(x|i)))))&~(~(g))) | ((g|i)|(~((u&((u&x)>~(w))))&x)) | 1 | 1 | 0 | 0 | entailment |
(x>((~(y)&(o|o))&(o>(i&~(x))))) | (i|~(~(~(x)))) | 1 | 1 | 1 | 1 | entailment |
((u&(((y&x)&g)|(y&(o&(x|i)))))&~(~(g))) | (i|~(~(~(x)))) | 0 | 1 | 1 | 0 | not entailment |
(x>((~(y)&(o|o))&(o>(i&~(x))))) | ((g|i)|(~((u&((u&x)>~(w))))&x)) | 0 | 1 | 0 | 0 | not entailment |
~(((o&g)>u)) | (o&((i>w)>~(~(o)))) | 1 | 0 | 0 | 0 | entailment |
((g|x)&(y&(o>w))) | (i|(~(g)|(g>y))) | 1 | 1 | 0 | 0 | entailment |
~(((o&g)>u)) | (i|(~(g)|(g>y))) | 0 | 0 | 0 | 0 | not entailment |
((g|x)&(y&(o>w))) | (o&((i>w)>~(~(o)))) | 0 | 0 | 0 | 0 | not entailment |
(o>y) | ((y|~(o))|w) | 1 | 0 | 0 | 0 | entailment |
~((g>y)) | (~(~((g|g)))|(y>~((i&w)))) | 1 | 0 | 0 | 0 | entailment |
(o>y) | (~(~((g|g)))|(y>~((i&w)))) | 0 | 0 | 0 | 0 | not entailment |
~((g>y)) | ((y|~(o))|w) | 0 | 0 | 0 | 0 | not entailment |
~((((x>w)|w)|(((g|g)&x)&(y>u)))) | ((u&(y&g))>(~(~(~((i>y))))&o)) | 1 | 1 | 0 | 0 | entailment |
((y&(x&i))&x) | (((x>w)&((u>x)>g))|(y&(w|~(w)))) | 1 | 0 | 0 | 0 | entailment |
~((((x>w)|w)|(((g|g)&x)&(y>u)))) | (((x>w)&((u>x)>g))|(y&(w|~(w)))) | 0 | 1 | 1 | 0 | not entailment |
((y&(x&i))&x) | ((u&(y&g))>(~(~(~((i>y))))&o)) | 0 | 0 | 0 | 0 | not entailment |
((((e>(c|f))&c)|(q>j))&((f|a)&(o&(r|k)))) | (o&o) | 1 | 1 | 1 | 1 | entailment |
(e&(d&c)) | ~((~(d)|(d&~(e)))) | 1 | 0 | 1 | 0 | entailment |
((((e>(c|f))&c)|(q>j))&((f|a)&(o&(r|k)))) | ~((~(d)|(d&~(e)))) | 0 | 1 | 0 | 0 | not entailment |
(e&(d&c)) | (o&o) | 0 | 1 | 0 | 0 | not entailment |
((~((q&j))|k)>(~(((c|~(q))|r))&r)) | (j|e) | 1 | 1 | 0 | 0 | entailment |
((~(f)&k)&((f>(a|q))>q)) | ((c&q)|k) | 1 | 1 | 0 | 0 | entailment |
((~((q&j))|k)>(~(((c|~(q))|r))&r)) | ((c&q)|k) | 0 | 1 | 1 | 0 | not entailment |
((~(f)&k)&((f>(a|q))>q)) | (j|e) | 0 | 1 | 0 | 0 | not entailment |
((((e|~(q))&c)>(f>c))>(q&d)) | ((r|a)>(q|((r>q)&a))) | 1 | 1 | 0 | 0 | entailment |
((o|(((o&k)&~(c))|(~((c|d))>f)))&c) | (d>((f|~(~((q>c))))&(~((e|q))|c))) | 1 | 1 | 0 | 0 | entailment |
((((e|~(q))&c)>(f>c))>(q&d)) | (d>((f|~(~((q>c))))&(~((e|q))|c))) | 0 | 0 | 1 | 0 | not entailment |
((o|(((o&k)&~(c))|(~((c|d))>f)))&c) | ((r|a)>(q|((r>q)&a))) | 0 | 1 | 0 | 0 | not entailment |
(e&(a>q)) | (((j>(c|e))|q)|a) | 1 | 0 | 0 | 0 | entailment |
((j&~((q&(f>f))))|(j&r)) | ~(((c&~((e>j)))&(~(o)&(q&c)))) | 1 | 0 | 0 | 0 | entailment |
(e&(a>q)) | ~(((c&~((e>j)))&(~(o)&(q&c)))) | 0 | 0 | 0 | 0 | not entailment |
((j&~((q&(f>f))))|(j&r)) | (((j>(c|e))|q)|a) | 0 | 1 | 0 | 0 | not entailment |
(((c|~(k))>k)&a) | (k|(((a|~(f))|d)&j)) | 1 | 0 | 0 | 0 | entailment |
~(((c|q)>d)) | (((a&(c>a))>(c&o))|(d>f)) | 1 | 0 | 0 | 0 | entailment |
(((c|~(k))>k)&a) | (((a&(c>a))>(c&o))|(d>f)) | 0 | 0 | 0 | 0 | not entailment |
~(((c|q)>d)) | (k|(((a|~(f))|d)&j)) | 0 | 0 | 0 | 0 | not entailment |
(k&d) | (~((d|c))>((q>d)|(q&(c|e)))) | 1 | 0 | 0 | 0 | entailment |
(o&((j|e)&q)) | ((f&k)>o) | 1 | 1 | 0 | 0 | entailment |
(k&d) | ((f&k)>o) | 0 | 0 | 0 | 0 | not entailment |
(o&((j|e)&q)) | (~((d|c))>((q>d)|(q&(c|e)))) | 0 | 0 | 0 | 0 | not entailment |
(~((c|((~((f>r))&(a|j))>c)))|r) | (~(~((r|f)))|(c>e)) | 1 | 1 | 0 | 0 | entailment |
((o>(q|q))>~(((q>(c&d))>~(k)))) | (~((q>d))>((o&q)>d)) | 1 | 1 | 1 | 0 | entailment |
(~((c|((~((f>r))&(a|j))>c)))|r) | (~((q>d))>((o&q)>d)) | 0 | 1 | 0 | 0 | not entailment |
((o>(q|q))>~(((q>(c&d))>~(k)))) | (~(~((r|f)))|(c>e)) | 0 | 1 | 0 | 0 | not entailment |
((((r&k)|(j&(a>r)))&r)&(r>k)) | (~((~((~((e>a))>o))|e))|(k|(r&a))) | 1 | 0 | 0 | 0 | entailment |
(o>((c&d)&c)) | (((q&(c|a))|(q>e))|~(o)) | 1 | 0 | 0 | 0 | entailment |
((((r&k)|(j&(a>r)))&r)&(r>k)) | (((q&(c|a))|(q>e))|~(o)) | 0 | 1 | 0 | 0 | not entailment |
(o>((c&d)&c)) | (~((~((~((e>a))>o))|e))|(k|(r&a))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((k>c))))&k) | ((j&k)|(~(c)|((c|~(d))>j))) | 1 | 0 | 0 | 0 | entailment |
(~(~((((e>f)|(q&a))>q)))&~(o)) | (~((~(q)|(f|~(o))))>(j>~((q|o)))) | 1 | 0 | 0 | 0 | entailment |
(~(~(~((k>c))))&k) | (~((~(q)|(f|~(o))))>(j>~((q|o)))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((((e>f)|(q&a))>q)))&~(o)) | ((j&k)|(~(c)|((c|~(d))>j))) | 0 | 1 | 0 | 0 | not entailment |
(k&(~((((a>r)>d)|e))|c)) | ~(~(((~(k)&f)>(o&r)))) | 1 | 1 | 0 | 0 | entailment |
~(((a&j)>~((f|(f&c))))) | ((e|o)>(k>(q>((f&a)|(o>(a&j)))))) | 1 | 0 | 0 | 0 | entailment |
(k&(~((((a>r)>d)|e))|c)) | ((e|o)>(k>(q>((f&a)|(o>(a&j)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((a&j)>~((f|(f&c))))) | ~(~(((~(k)&f)>(o&r)))) | 0 | 1 | 0 | 0 | not entailment |
(((c|d)|k)&(f&(o>~(((e>c)|a))))) | (e|f) | 1 | 1 | 1 | 1 | entailment |
(r&(~(d)&q)) | (d>(~(~(~((e|(r|(j|e))))))&(f&e))) | 1 | 0 | 0 | 0 | entailment |
(((c|d)|k)&(f&(o>~(((e>c)|a))))) | (d>(~(~(~((e|(r|(j|e))))))&(f&e))) | 0 | 0 | 0 | 0 | not entailment |
(r&(~(d)&q)) | (e|f) | 0 | 1 | 0 | 0 | not entailment |
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