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 |
|---|---|---|---|---|---|---|
~((x>(((n&j)|a)|~(((i>o)|o))))) | (x|(v>a)) | 1 | 1 | 0 | 0 | entailment |
(n&j) | (s|n) | 1 | 1 | 0 | 0 | entailment |
~((x>(((n&j)|a)|~(((i>o)|o))))) | (s|n) | 0 | 1 | 0 | 0 | not entailment |
(n&j) | (x|(v>a)) | 0 | 0 | 0 | 0 | not entailment |
(((~(((i&o)|i))&(o>o))|((x|u)&u))&v) | ((((n&s)>s)>a)>(j>v)) | 1 | 1 | 0 | 0 | entailment |
(((x|x)&(i|a))&~((((o&i)|n)|r))) | (n>a) | 1 | 1 | 1 | 1 | entailment |
(((~(((i&o)|i))&(o>o))|((x|u)&u))&v) | (n>a) | 0 | 1 | 0 | 0 | not entailment |
(((x|x)&(i|a))&~((((o&i)|n)|r))) | ((((n&s)>s)>a)>(j>v)) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((n|(e&h)))&~((g|h))))) | ((((f&e)>~(n))>(f|(e|(f&f))))|~((g|e))) | 1 | 0 | 0 | 0 | entailment |
~(((~(g)|h)|h)) | ~((~(g)|h)) | 1 | 1 | 1 | 1 | entailment |
~(~((~((n|(e&h)))&~((g|h))))) | ~((~(g)|h)) | 0 | 1 | 1 | 0 | not entailment |
~(((~(g)|h)|h)) | ((((f&e)>~(n))>(f|(e|(f&f))))|~((g|e))) | 0 | 0 | 0 | 0 | not entailment |
(g&f) | ((~(n)|~(~(f)))|(n&g)) | 1 | 0 | 0 | 0 | entailment |
~(f) | ((g>(f>(~(h)&h)))|(k&(((k>k)|f)>~(e)))) | 1 | 0 | 0 | 0 | entailment |
(g&f) | ((g>(f>(~(h)&h)))|(k&(((k>k)|f)>~(e)))) | 0 | 0 | 0 | 0 | not entailment |
~(f) | ((~(n)|~(~(f)))|(n&g)) | 0 | 0 | 0 | 0 | not entailment |
((g&k)&g) | (f|k) | 1 | 1 | 0 | 0 | entailment |
(((e>k)|((~(h)>(g&g))&(h&n)))&n) | (n&n) | 1 | 1 | 1 | 1 | entailment |
((g&k)&g) | (n&n) | 0 | 1 | 0 | 0 | not entailment |
(((e>k)|((~(h)>(g&g))&(h&n)))&n) | (f|k) | 0 | 1 | 0 | 0 | not entailment |
~(~(h)) | ((g&(k|e))>((g|g)&h)) | 1 | 0 | 0 | 0 | entailment |
((f>~((~(k)|n)))&~((e&~(n)))) | ((((g|h)>(f&e))&e)>n) | 1 | 1 | 0 | 0 | entailment |
~(~(h)) | ((((g|h)>(f&e))&e)>n) | 0 | 0 | 0 | 0 | not entailment |
((f>~((~(k)|n)))&~((e&~(n)))) | ((g&(k|e))>((g|g)&h)) | 0 | 1 | 0 | 0 | not entailment |
((n|~(((~(~((e&(e|g))))|h)&k)))&e) | ((e|g)|(n|n)) | 1 | 1 | 1 | 0 | entailment |
(h&k) | ((k&((g|h)&~((~(h)&k))))|h) | 1 | 0 | 0 | 0 | entailment |
((n|~(((~(~((e&(e|g))))|h)&k)))&e) | ((k&((g|h)&~((~(h)&k))))|h) | 0 | 1 | 1 | 0 | not entailment |
(h&k) | ((e|g)|(n|n)) | 0 | 0 | 0 | 0 | not entailment |
(~((~((n>n))>(g&(f|(k&g)))))|(g|g)) | (((g&g)>(h>n))>g) | 1 | 1 | 0 | 0 | entailment |
(~((n&((f|g)|~(h))))&n) | (k>(~(((f|f)|(g>n)))>(n|e))) | 1 | 0 | 0 | 0 | entailment |
(~((~((n>n))>(g&(f|(k&g)))))|(g|g)) | (k>(~(((f|f)|(g>n)))>(n|e))) | 0 | 1 | 0 | 0 | not entailment |
(~((n&((f|g)|~(h))))&n) | (((g&g)>(h>n))>g) | 0 | 1 | 1 | 0 | not entailment |
(g&k) | (g>k) | 1 | 1 | 1 | 0 | entailment |
(n&e) | (((e&k)|n)>~(~(n))) | 1 | 0 | 0 | 0 | entailment |
(g&k) | (((e&k)|n)>~(~(n))) | 0 | 0 | 0 | 0 | not entailment |
(n&e) | (g>k) | 0 | 1 | 0 | 0 | not entailment |
((e|f)&(~(k)&g)) | ((~(n)&((e|k)|(e>h)))>(n|(g|k))) | 1 | 0 | 0 | 0 | entailment |
~((((h>g)&e)|(e|((g&h)|e)))) | ~(((k|g)&e)) | 1 | 1 | 0 | 0 | entailment |
((e|f)&(~(k)&g)) | ~(((k|g)&e)) | 0 | 1 | 1 | 0 | not entailment |
~((((h>g)&e)|(e|((g&h)|e)))) | ((~(n)&((e|k)|(e>h)))>(n|(g|k))) | 0 | 0 | 0 | 0 | not entailment |
(((f>n)>(e|e))&~(g)) | (~((n&(f>h)))|e) | 1 | 1 | 0 | 0 | entailment |
((h>~((k&k)))&g) | (~(((h>h)>g))>((~(n)&f)&((e>e)>n))) | 1 | 0 | 0 | 0 | entailment |
(((f>n)>(e|e))&~(g)) | (~(((h>h)>g))>((~(n)&f)&((e>e)>n))) | 0 | 0 | 0 | 0 | not entailment |
((h>~((k&k)))&g) | (~((n&(f>h)))|e) | 0 | 1 | 0 | 0 | not entailment |
(h&(e|h)) | (f>h) | 1 | 1 | 0 | 0 | entailment |
(f&n) | (((h&n)|(k>(n>(g>n))))&n) | 1 | 0 | 0 | 0 | entailment |
(h&(e|h)) | (((h&n)|(k>(n>(g>n))))&n) | 0 | 0 | 0 | 0 | not entailment |
(f&n) | (f>h) | 0 | 1 | 0 | 0 | not entailment |
(n>(~((n|(k&(e&k))))&(k>f))) | (n>(((((h|e)>n)&g)>(~(f)|e))|(k&n))) | 1 | 0 | 0 | 0 | entailment |
((~((~(~(n))|(h&k)))>n)&(e|n)) | ((f|n)|(~((n|h))>(k>g))) | 1 | 1 | 0 | 0 | entailment |
(n>(~((n|(k&(e&k))))&(k>f))) | ((f|n)|(~((n|h))>(k>g))) | 0 | 1 | 0 | 0 | not entailment |
((~((~(~(n))|(h&k)))>n)&(e|n)) | (n>(((((h|e)>n)&g)>(~(f)|e))|(k&n))) | 0 | 0 | 0 | 0 | not entailment |
(~(g)&(e&f)) | ~((g&(((n&f)|~((e|n)))&k))) | 1 | 0 | 0 | 0 | entailment |
~((((h|h)|k)&(n|f))) | ~(((f>k)&(f|f))) | 1 | 1 | 1 | 0 | entailment |
(~(g)&(e&f)) | ~(((f>k)&(f|f))) | 0 | 0 | 0 | 0 | not entailment |
~((((h|h)|k)&(n|f))) | ~((g&(((n&f)|~((e|n)))&k))) | 0 | 0 | 0 | 0 | not entailment |
~((~(k)>~((e>e)))) | ~(((n&f)&k)) | 1 | 1 | 0 | 0 | entailment |
((h>g)&g) | ((k|((e|n)&((n&k)|h)))|g) | 1 | 0 | 0 | 0 | entailment |
~((~(k)>~((e>e)))) | ((k|((e|n)&((n&k)|h)))|g) | 0 | 0 | 0 | 0 | not entailment |
((h>g)&g) | ~(((n&f)&k)) | 0 | 0 | 0 | 0 | not entailment |
(((h|e)&((n&n)&(e>(~(f)&(g|h)))))|n) | ((h>(e&(~(((h>g)|f))>h)))|(n&(e|h))) | 1 | 1 | 1 | 0 | entailment |
((f>k)&~(~(f))) | (((n>n)|~((n|f)))>k) | 1 | 0 | 0 | 0 | entailment |
(((h|e)&((n&n)&(e>(~(f)&(g|h)))))|n) | (((n>n)|~((n|f)))>k) | 0 | 1 | 0 | 0 | not entailment |
((f>k)&~(~(f))) | ((h>(e&(~(((h>g)|f))>h)))|(n&(e|h))) | 0 | 0 | 0 | 0 | not entailment |
~((((((n|k)|e)>(g|k))&g)>(k|h))) | (~(k)&g) | 1 | 1 | 1 | 1 | entailment |
(((~(h)&((f>k)|f))>(n&(n&k)))&(n&g)) | (~(((h|(e>n))>~(~((n>(f>~(e)))))))|n) | 1 | 0 | 0 | 0 | entailment |
~((((((n|k)|e)>(g|k))&g)>(k|h))) | (~(((h|(e>n))>~(~((n>(f>~(e)))))))|n) | 0 | 0 | 0 | 0 | not entailment |
(((~(h)&((f>k)|f))>(n&(n&k)))&(n&g)) | (~(k)&g) | 0 | 1 | 1 | 1 | not entailment |
((k>(e|(k>k)))>(e|~(g))) | (((~(e)>(e&f))|(~(g)|h))|~((g&n))) | 1 | 0 | 0 | 0 | entailment |
~(((((((k&f)&n)&f)>(e&h))|g)&~(~(e)))) | (~(((k|e)|~(g)))|(n|~(((e|n)&(k>k))))) | 1 | 1 | 1 | 0 | entailment |
((k>(e|(k>k)))>(e|~(g))) | (~(((k|e)|~(g)))|(n|~(((e|n)&(k>k))))) | 0 | 0 | 0 | 0 | not entailment |
~(((((((k&f)&n)&f)>(e&h))|g)&~(~(e)))) | (((~(e)>(e&f))|(~(g)|h))|~((g&n))) | 0 | 1 | 1 | 0 | not entailment |
(u&x) | (((b>b)&(i>u))>(u&(u>(o|x)))) | 1 | 0 | 0 | 0 | entailment |
~(((y>h)>(~((x|(u&h)))>(y|~(o))))) | ~(x) | 1 | 1 | 1 | 1 | entailment |
(u&x) | ~(x) | 0 | 1 | 1 | 0 | not entailment |
~(((y>h)>(~((x|(u&h)))>(y|~(o))))) | (((b>b)&(i>u))>(u&(u>(o|x)))) | 0 | 1 | 0 | 0 | not entailment |
((x&((r>y)&b))|j) | (((b>u)&~(x))>(((u>u)&o)>(y|j))) | 1 | 0 | 0 | 0 | entailment |
(((~(o)|y)>u)&h) | (~(h)>u) | 1 | 1 | 1 | 1 | entailment |
((x&((r>y)&b))|j) | (~(h)>u) | 0 | 1 | 0 | 0 | not entailment |
(((~(o)|y)>u)&h) | (((b>u)&~(x))>(((u>u)&o)>(y|j))) | 0 | 0 | 0 | 0 | not entailment |
(((i|i)|o)&~(h)) | ((b>r)>(h>(u|u))) | 1 | 1 | 0 | 0 | entailment |
~(((o>x)>(y>x))) | (b>(~(o)&((b|(x>u))|((j&y)|(w|(u>j)))))) | 1 | 0 | 0 | 0 | entailment |
(((i|i)|o)&~(h)) | (b>(~(o)&((b|(x>u))|((j&y)|(w|(u>j)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((o>x)>(y>x))) | ((b>r)>(h>(u|u))) | 0 | 1 | 0 | 0 | not entailment |
(u&y) | ((y>~(y))>~(~(u))) | 1 | 0 | 1 | 1 | entailment |
~(((o&j)|(~((y|w))>(h>r)))) | ((x>(i&(o&h)))|(h&h)) | 1 | 1 | 0 | 0 | entailment |
(u&y) | ((x>(i&(o&h)))|(h&h)) | 0 | 0 | 0 | 0 | not entailment |
~(((o&j)|(~((y|w))>(h>r)))) | ((y>~(y))>~(~(u))) | 0 | 1 | 0 | 0 | not entailment |
~((u>~(u))) | ~(~(((x&w)|(~(u)>w)))) | 1 | 0 | 0 | 0 | entailment |
(((b>i)&r)&j) | (((b|(o|w))>x)>((w>j)|(w>((w&r)&(u&j))))) | 1 | 0 | 0 | 0 | entailment |
~((u>~(u))) | (((b|(o|w))>x)>((w>j)|(w>((w&r)&(u&j))))) | 0 | 0 | 0 | 0 | not entailment |
(((b>i)&r)&j) | ~(~(((x&w)|(~(u)>w)))) | 0 | 0 | 0 | 0 | not entailment |
(j|(j&y)) | (j|y) | 1 | 1 | 1 | 1 | entailment |
~(((i>h)>(~(h)>((x>u)&u)))) | ((j&~((u&j)))|((j>x)&((x>y)>~((r&u))))) | 1 | 0 | 0 | 0 | entailment |
(j|(j&y)) | ((j&~((u&j)))|((j>x)&((x>y)>~((r&u))))) | 0 | 0 | 0 | 0 | not entailment |
~(((i>h)>(~(h)>((x>u)&u)))) | (j|y) | 0 | 1 | 0 | 0 | not entailment |
~(((i&~(((j>((y|u)>h))|(x>u))))|(i|w))) | (w>r) | 1 | 1 | 0 | 0 | entailment |
((j&(r>b))&(((w&b)&b)&(y&w))) | (~(~((((~(i)|x)>h)|(b&(w|j)))))|(x&y)) | 1 | 0 | 0 | 0 | entailment |
~(((i&~(((j>((y|u)>h))|(x>u))))|(i|w))) | (~(~((((~(i)|x)>h)|(b&(w|j)))))|(x&y)) | 0 | 1 | 0 | 0 | not entailment |
((j&(r>b))&(((w&b)&b)&(y&w))) | (w>r) | 0 | 1 | 1 | 0 | not entailment |
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