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>d)>(b>d))&b)|b))) | (d>b) | 1 | 1 | 1 | 1 | entailment |
(d|d) | (d&(d&d)) | 1 | 0 | 1 | 1 | entailment |
~(~(((((b>d)>(b>d))&b)|b))) | (d&(d&d)) | 0 | 1 | 1 | 1 | not entailment |
(d|d) | (d>b) | 0 | 1 | 0 | 0 | not entailment |
((d>((d|(d&(b&d)))|b))>d) | (d&d) | 1 | 1 | 1 | 1 | entailment |
(b&((b>d)>(b|(b&d)))) | ((b&d)|b) | 1 | 1 | 1 | 1 | entailment |
((d>((d|(d&(b&d)))|b))>d) | ((b&d)|b) | 0 | 1 | 1 | 0 | not entailment |
(b&((b>d)>(b|(b&d)))) | (d&d) | 0 | 1 | 1 | 1 | not entailment |
((d>d)>d) | (((((b>d)&b)|b)>(~(d)>(~(b)&b)))>d) | 1 | 0 | 0 | 0 | entailment |
(~(d)|~(d)) | ~(d) | 1 | 1 | 1 | 1 | entailment |
((d>d)>d) | ~(d) | 0 | 1 | 1 | 1 | not entailment |
(~(d)|~(d)) | (((((b>d)&b)|b)>(~(d)>(~(b)&b)))>d) | 0 | 0 | 0 | 0 | not entailment |
((k&j)&k) | ((j&((j&k)|g))|g) | 1 | 0 | 0 | 0 | entailment |
(~(j)&~((g&(g>g)))) | (j>g) | 1 | 1 | 1 | 1 | entailment |
((k&j)&k) | (j>g) | 0 | 1 | 0 | 0 | not entailment |
(~(j)&~((g&(g>g)))) | ((j&((j&k)|g))|g) | 0 | 1 | 0 | 0 | not entailment |
~((j>((g&k)|(g&g)))) | (j|(k&(j>g))) | 1 | 1 | 1 | 0 | entailment |
~(((~(~(~(j)))&(k>~((j>g))))>g)) | (~((g|(j&j)))&(g|(~(k)|(j&g)))) | 1 | 1 | 1 | 0 | entailment |
~((j>((g&k)|(g&g)))) | (~((g|(j&j)))&(g|(~(k)|(j&g)))) | 0 | 0 | 1 | 0 | not entailment |
~(((~(~(~(j)))&(k>~((j>g))))>g)) | (j|(k&(j>g))) | 0 | 1 | 1 | 0 | not entailment |
((j|(g|k))&(k|g)) | ((~(j)>k)|g) | 1 | 1 | 1 | 1 | entailment |
(~(g)|~(g)) | ((g|g)>((~(k)|j)|j)) | 1 | 0 | 0 | 0 | entailment |
((j|(g|k))&(k|g)) | ((g|g)>((~(k)|j)|j)) | 0 | 0 | 1 | 0 | not entailment |
(~(g)|~(g)) | ((~(j)>k)|g) | 0 | 1 | 0 | 0 | not entailment |
(~((~(g)&~(j)))|~((j|k))) | ((k>j)|(k>~(~((k>(g&k)))))) | 1 | 1 | 1 | 0 | entailment |
(k|j) | (((((j&g)|j)|j)&j)|k) | 1 | 0 | 0 | 0 | entailment |
(~((~(g)&~(j)))|~((j|k))) | (((((j&g)|j)|j)&j)|k) | 0 | 1 | 1 | 0 | not entailment |
(k|j) | ((k>j)|(k>~(~((k>(g&k)))))) | 0 | 0 | 0 | 0 | not entailment |
~((g>~((k&k)))) | (((j|g)|j)&((j|g)|(((j|g)&g)>(g&g)))) | 1 | 0 | 0 | 0 | entailment |
~(((k>j)>(j|j))) | ~(j) | 1 | 1 | 1 | 1 | entailment |
~((g>~((k&k)))) | ~(j) | 0 | 1 | 0 | 0 | not entailment |
~(((k>j)>(j|j))) | (((j|g)|j)&((j|g)|(((j|g)&g)>(g&g)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(g)|k)>k)) | (g>(~(j)|(k|k))) | 1 | 1 | 0 | 0 | entailment |
(((k|g)|(g|k))&(j|j)) | (k|(j|(j&j))) | 1 | 1 | 1 | 1 | entailment |
~(((~(g)|k)>k)) | (k|(j|(j&j))) | 0 | 1 | 0 | 0 | not entailment |
(((k|g)|(g|k))&(j|j)) | (g>(~(j)|(k|k))) | 0 | 1 | 1 | 0 | not entailment |
((k|g)&g) | ((g&g)|(~(j)>((k|k)>(j|(((k|j)>j)&j))))) | 1 | 0 | 0 | 0 | entailment |
(~((~(g)>j))&k) | ((((j>g)>(~(j)|k))&j)>~(((k>j)>g))) | 1 | 0 | 1 | 0 | entailment |
((k|g)&g) | ((((j>g)>(~(j)|k))&j)>~(((k>j)>g))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(g)>j))&k) | ((g&g)|(~(j)>((k|k)>(j|(((k|j)>j)&j))))) | 0 | 0 | 1 | 0 | not entailment |
(j&(~((k>g))>~((~(((k>k)|j))&(g|k))))) | ((~((g|k))>g)>j) | 1 | 1 | 1 | 1 | entailment |
((~((k&g))&~(j))&(k|~(g))) | ((g&(g>((k|~(j))&g)))|~(g)) | 1 | 1 | 1 | 0 | entailment |
(j&(~((k>g))>~((~(((k>k)|j))&(g|k))))) | ((g&(g>((k|~(j))&g)))|~(g)) | 0 | 1 | 1 | 0 | not entailment |
((~((k&g))&~(j))&(k|~(g))) | ((~((g|k))>g)>j) | 0 | 1 | 1 | 0 | not entailment |
(g&(k>~(j))) | ((j&~((j|k)))|(g&g)) | 1 | 0 | 1 | 0 | entailment |
((k&(j>(g&g)))|(((k|k)&j)&(k&k))) | (((~(j)&~((g>j)))>k)>((k>(k&(g&k)))>k)) | 1 | 0 | 1 | 0 | entailment |
(g&(k>~(j))) | (((~(j)&~((g>j)))>k)>((k>(k&(g&k)))>k)) | 0 | 0 | 1 | 0 | not entailment |
((k&(j>(g&g)))|(((k|k)&j)&(k&k))) | ((j&~((j|k)))|(g&g)) | 0 | 1 | 1 | 0 | not entailment |
~(~((g&(g&k)))) | (~(j)|k) | 1 | 1 | 0 | 0 | entailment |
(((g|~((g|g)))|(k|(g>k)))&~(~(~(g)))) | ~(g) | 1 | 1 | 1 | 1 | entailment |
~(~((g&(g&k)))) | ~(g) | 0 | 1 | 1 | 0 | not entailment |
(((g|~((g|g)))|(k|(g>k)))&~(~(~(g)))) | (~(j)|k) | 0 | 1 | 0 | 0 | not entailment |
~(~(j)) | ((k|j)|(~(((k&~(j))&k))&((g|g)|k))) | 1 | 0 | 0 | 0 | entailment |
((k>((j>j)>~(j)))&(((j>g)>j)>g)) | (~(((g|j)>k))|(j>~(g))) | 1 | 1 | 1 | 0 | entailment |
~(~(j)) | (~(((g|j)>k))|(j>~(g))) | 0 | 0 | 0 | 0 | not entailment |
((k>((j>j)>~(j)))&(((j>g)>j)>g)) | ((k|j)|(~(((k&~(j))&k))&((g|g)|k))) | 0 | 0 | 1 | 0 | not entailment |
~(((j>k)>~((g|g)))) | (g|~((~((k&k))|((((g&g)&k)&k)&~(k))))) | 1 | 0 | 1 | 0 | entailment |
((g>((j|~(j))>g))>~(g)) | (~(~((g|g)))>j) | 1 | 1 | 1 | 1 | entailment |
~(((j>k)>~((g|g)))) | (~(~((g|g)))>j) | 0 | 1 | 1 | 0 | not entailment |
((g>((j|~(j))>g))>~(g)) | (g|~((~((k&k))|((((g&g)&k)&k)&~(k))))) | 0 | 0 | 0 | 0 | not entailment |
((k&k)&(g|g)) | ((k>~(j))>~((j&(g|g)))) | 1 | 0 | 0 | 0 | entailment |
~((~((((j>k)&(g|j))&k))>~(g))) | ((j>k)>(~(j)&~((g&(g&k))))) | 1 | 1 | 1 | 1 | entailment |
((k&k)&(g|g)) | ((j>k)>(~(j)&~((g&(g&k))))) | 0 | 0 | 0 | 0 | not entailment |
~((~((((j>k)&(g|j))&k))>~(g))) | ((k>~(j))>~((j&(g|g)))) | 0 | 1 | 1 | 0 | not entailment |
~((g&g)) | ((g&(j&k))>~(j)) | 1 | 0 | 0 | 0 | entailment |
((g&(k|(k&j)))&j) | ((g|j)>k) | 1 | 1 | 1 | 0 | entailment |
~((g&g)) | ((g|j)>k) | 0 | 1 | 0 | 0 | not entailment |
((g&(k|(k&j)))&j) | ((g&(j&k))>~(j)) | 0 | 1 | 1 | 0 | not entailment |
(~((k&(~(g)&g)))>~(j)) | (k>~(j)) | 1 | 1 | 1 | 0 | entailment |
~((((j>((j&j)>j))&(j>g))|~(k))) | (k|(j&j)) | 1 | 1 | 1 | 1 | entailment |
(~((k&(~(g)&g)))>~(j)) | (k|(j&j)) | 0 | 1 | 1 | 0 | not entailment |
~((((j>((j&j)>j))&(j>g))|~(k))) | (k>~(j)) | 0 | 1 | 1 | 0 | not entailment |
(((e|(o>(a&e)))&~(a))&~(e)) | ~(((((e|(b|o))&(o&e))|o)&~((a|a)))) | 1 | 0 | 0 | 0 | entailment |
~(((h>~((o>h)))|(~(~((l>h)))&(b|l)))) | (h>(b>a)) | 1 | 1 | 0 | 0 | entailment |
(((e|(o>(a&e)))&~(a))&~(e)) | (h>(b>a)) | 0 | 1 | 0 | 0 | not entailment |
~(((h>~((o>h)))|(~(~((l>h)))&(b|l)))) | ~(((((e|(b|o))&(o&e))|o)&~((a|a)))) | 0 | 1 | 0 | 0 | not entailment |
(a|(~((o|e))&((o&e)&o))) | ((o>((h&(q|(e|h)))|e))|(q|(o&a))) | 1 | 0 | 0 | 0 | entailment |
((o&b)&~((b>(q|(o&h))))) | (q|(b|~(~(((l|h)&(h>(l&~(a)))))))) | 1 | 0 | 0 | 0 | entailment |
(a|(~((o|e))&((o&e)&o))) | (q|(b|~(~(((l|h)&(h>(l&~(a)))))))) | 0 | 0 | 0 | 0 | not entailment |
((o&b)&~((b>(q|(o&h))))) | ((o>((h&(q|(e|h)))|e))|(q|(o&a))) | 0 | 0 | 0 | 0 | not entailment |
(a&l) | (~(l)>(o|l)) | 1 | 0 | 0 | 0 | entailment |
(b|~((~((e&q))>(e>~(o))))) | ~(~((e|~(~(((b&e)|b)))))) | 1 | 1 | 1 | 1 | entailment |
(a&l) | ~(~((e|~(~(((b&e)|b)))))) | 0 | 0 | 0 | 0 | not entailment |
(b|~((~((e&q))>(e>~(o))))) | (~(l)>(o|l)) | 0 | 1 | 0 | 0 | not entailment |
((((h&e)&a)&b)&~(((o&q)|q))) | ~(~((~(((l>b)|(a|(l>b))))>o))) | 1 | 0 | 0 | 0 | entailment |
((((q|h)&l)&h)&(((a|(b&o))|(h&q))&~(e))) | ~(e) | 1 | 1 | 1 | 1 | entailment |
((((h&e)&a)&b)&~(((o&q)|q))) | ~(e) | 0 | 1 | 1 | 0 | not entailment |
((((q|h)&l)&h)&(((a|(b&o))|(h&q))&~(e))) | ~(~((~(((l>b)|(a|(l>b))))>o))) | 0 | 1 | 1 | 0 | not entailment |
(o|(e&b)) | ((b|l)|o) | 1 | 1 | 0 | 0 | entailment |
~((a|o)) | (~(o)|((a|((a&q)>q))&(l&b))) | 1 | 0 | 0 | 0 | entailment |
(o|(e&b)) | (~(o)|((a|((a&q)>q))&(l&b))) | 0 | 0 | 0 | 0 | not entailment |
~((a|o)) | ((b|l)|o) | 0 | 1 | 0 | 0 | not entailment |
((b&(b>~(~(l))))&(h>~(o))) | ((b|o)|(l|a)) | 1 | 1 | 0 | 0 | entailment |
~((l|b)) | (((((o>l)|(q&e))>~(b))|o)>~(b)) | 1 | 0 | 0 | 0 | entailment |
((b&(b>~(~(l))))&(h>~(o))) | (((((o>l)|(q&e))>~(b))|o)>~(b)) | 0 | 0 | 0 | 0 | not entailment |
~((l|b)) | ((b|o)|(l|a)) | 0 | 0 | 0 | 0 | not entailment |
(l&(l|~((h|l)))) | (~(~((l|h)))|~(e)) | 1 | 0 | 0 | 0 | entailment |
(~(e)>(e&(h&a))) | ((e|e)|(l>(a|a))) | 1 | 1 | 0 | 0 | entailment |
(l&(l|~((h|l)))) | ((e|e)|(l>(a|a))) | 0 | 1 | 0 | 0 | not entailment |
(~(e)>(e&(h&a))) | (~(~((l|h)))|~(e)) | 0 | 0 | 0 | 0 | not entailment |
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