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 |
|---|---|---|---|---|---|---|
~(~(~(~(s)))) | ~(((s>s)&(s|s))) | 0 | 1 | 1 | 0 | not entailment |
(~((((s&s)&s)&(s>s)))>s) | (s&(((s|s)|s)>~((s>~((s&s)))))) | 1 | 0 | 1 | 1 | entailment |
~(s) | ~((((s&s)|(s|s))|((((s>s)&s)&s)&~(s)))) | 1 | 0 | 1 | 0 | entailment |
(~((((s&s)&s)&(s>s)))>s) | ~((((s&s)|(s|s))|((((s>s)&s)&s)&~(s)))) | 0 | 0 | 1 | 1 | not entailment |
~(s) | (s&(((s|s)|s)>~((s>~((s&s)))))) | 0 | 0 | 1 | 0 | not entailment |
(s>~((s>s))) | ~((~(~(((s|(((s|s)|s)>(s>s)))|s)))&s)) | 1 | 0 | 1 | 1 | entailment |
((s>s)>((s&s)|s)) | ((((s&(s|s))>(s|s))&s)|((((s|s)>s)>s)|s)) | 1 | 0 | 1 | 1 | entailment |
(s>~((s>s))) | ((((s&(s|s))>(s|s))&s)|((((s|s)>s)>s)|s)) | 0 | 0 | 1 | 1 | not entailment |
((s>s)>((s&s)|s)) | ~((~(~(((s|(((s|s)|s)>(s>s)))|s)))&s)) | 0 | 0 | 1 | 1 | not entailment |
~((~((s|~(s)))|(s|((~(~(s))&s)&s)))) | (s>~(((((s>s)>~(~((s&s))))&s)>(s|s)))) | 1 | 1 | 1 | 1 | entailment |
((s|(((s|s)&(s>s))>(~((s>s))|s)))&s) | (s&(~((s&(s|s)))>s)) | 1 | 1 | 1 | 1 | entailment |
~((~((s|~(s)))|(s|((~(~(s))&s)&s)))) | (s&(~((s&(s|s)))>s)) | 0 | 1 | 1 | 1 | not entailment |
((s|(((s|s)&(s>s))>(~((s>s))|s)))&s) | (s>~(((((s>s)>~(~((s&s))))&s)>(s|s)))) | 0 | 0 | 1 | 1 | not entailment |
~(((s|s)|s)) | ~((s|s)) | 1 | 1 | 1 | 1 | entailment |
(s&(((s>s)&s)>s)) | (s|~(~(~((s>s))))) | 1 | 0 | 1 | 1 | entailment |
~(((s|s)|s)) | (s|~(~(~((s>s))))) | 0 | 0 | 1 | 0 | not entailment |
(s&(((s>s)&s)>s)) | ~((s|s)) | 0 | 1 | 1 | 1 | not entailment |
(w|(w|w)) | ((w>(w&w))&(w&(w|w))) | 1 | 0 | 1 | 0 | entailment |
~(~(~(w))) | ~(w) | 1 | 1 | 1 | 1 | entailment |
(w|(w|w)) | ~(w) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(w))) | ((w>(w&w))&(w&(w|w))) | 0 | 0 | 1 | 0 | not entailment |
(((w>w)|((w&(w&w))|~(w)))>w) | (((w>w)>(~((w|(w&w)))>w))&((w&w)|w)) | 1 | 0 | 1 | 1 | entailment |
~((((w|(w>~(w)))|w)&w)) | ((w>(w>w))&~(((w>(w|w))&w))) | 1 | 0 | 1 | 1 | entailment |
(((w>w)|((w&(w&w))|~(w)))>w) | ((w>(w>w))&~(((w>(w|w))&w))) | 0 | 1 | 1 | 1 | not entailment |
~((((w|(w>~(w)))|w)&w)) | (((w>w)>(~((w|(w&w)))>w))&((w&w)|w)) | 0 | 0 | 1 | 1 | not entailment |
(w|~((w|~((((w>w)&w)&(w|w)))))) | (((w&w)>(w|(w&w)))>(w|(w|w))) | 1 | 1 | 1 | 1 | entailment |
(~((~(w)>(~(w)&w)))|~(w)) | (~(w)|(~(((w|w)>w))|~((w&(w|(w|w)))))) | 1 | 0 | 1 | 1 | entailment |
(w|~((w|~((((w>w)&w)&(w|w)))))) | (~(w)|(~(((w|w)>w))|~((w&(w|(w|w)))))) | 0 | 0 | 1 | 1 | not entailment |
(~((~(w)>(~(w)&w)))|~(w)) | (((w&w)>(w|(w&w)))>(w|(w|w))) | 0 | 1 | 1 | 1 | not entailment |
(w|(w&~(~(((w>w)&~(~(((w>w)|w)))))))) | ((w|w)&~(~((((w&((w&w)|w))|w)>w)))) | 1 | 1 | 1 | 1 | entailment |
~(~(~(w))) | (~(w)|~((w>(w>w)))) | 1 | 0 | 1 | 0 | entailment |
(w|(w&~(~(((w>w)&~(~(((w>w)|w)))))))) | (~(w)|~((w>(w>w)))) | 0 | 1 | 1 | 1 | not entailment |
~(~(~(w))) | ((w|w)&~(~((((w&((w&w)|w))|w)>w)))) | 0 | 0 | 1 | 0 | not entailment |
~(~((~(w)>(w&w)))) | (w&~((w&(~(w)&(~(w)&w))))) | 1 | 0 | 1 | 0 | entailment |
~((w|~(~(w)))) | ~(w) | 1 | 1 | 1 | 1 | entailment |
~(~((~(w)>(w&w)))) | ~(w) | 0 | 1 | 1 | 0 | not entailment |
~((w|~(~(w)))) | (w&~((w&(~(w)&(~(w)&w))))) | 0 | 0 | 1 | 0 | not entailment |
~((~(w)&((w|w)>(w>w)))) | ~(~(((w|w)&(w&(w>w))))) | 1 | 1 | 1 | 1 | entailment |
~((w&w)) | ~(((w>w)>w)) | 1 | 0 | 1 | 0 | entailment |
~((~(w)&((w|w)>(w>w)))) | ~(((w>w)>w)) | 0 | 1 | 1 | 1 | not entailment |
~((w&w)) | ~(~(((w|w)&(w&(w>w))))) | 0 | 0 | 1 | 0 | not entailment |
(w|w) | (~(~(((~(w)>(w>w))&(w>w))))>w) | 1 | 0 | 1 | 0 | entailment |
((~((w|w))&~(w))|~((w>(w&w)))) | ~((w|(w&((w|(w>w))&(w&~(~(w))))))) | 1 | 0 | 1 | 1 | entailment |
(w|w) | ~((w|(w&((w|(w>w))&(w&~(~(w))))))) | 0 | 0 | 1 | 0 | not entailment |
((~((w|w))&~(w))|~((w>(w&w)))) | (~(~(((~(w)>(w>w))&(w>w))))>w) | 0 | 1 | 1 | 1 | not entailment |
((~(w)>(((w>w)|((w|w)>w))>w))|w) | (w&(w>((w&w)>w))) | 1 | 1 | 1 | 1 | entailment |
((w|w)>((~(w)&w)&~(~((w&(w>w)))))) | ((w|(~(w)|w))>~(w)) | 1 | 1 | 1 | 1 | entailment |
((~(w)>(((w>w)|((w|w)>w))>w))|w) | ((w|(~(w)|w))>~(w)) | 0 | 1 | 1 | 1 | not entailment |
((w|w)>((~(w)&w)&~(~((w&(w>w)))))) | (w&(w>((w&w)>w))) | 0 | 1 | 1 | 1 | not entailment |
~((w|w)) | ~((w|(w&w))) | 1 | 0 | 1 | 1 | entailment |
((~(w)|~(~(w)))>(w&(~(~(~(w)))>w))) | (~((~(w)>(w>w)))|((w&w)&((w|w)&w))) | 1 | 1 | 1 | 1 | entailment |
~((w|w)) | (~((~(w)>(w>w)))|((w&w)&((w|w)&w))) | 0 | 0 | 1 | 0 | not entailment |
((~(w)|~(~(w)))>(w&(~(~(~(w)))>w))) | ~((w|(w&w))) | 0 | 1 | 1 | 1 | not entailment |
~((~(~((h|(s|i))))>(((s&b)>w)>(s|b)))) | (s>~(((v&j)&h))) | 1 | 1 | 0 | 0 | entailment |
(~(n)&q) | (q|y) | 1 | 1 | 0 | 0 | entailment |
~((~(~((h|(s|i))))>(((s&b)>w)>(s|b)))) | (q|y) | 0 | 1 | 0 | 0 | not entailment |
(~(n)&q) | (s>~(((v&j)&h))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((n|v)))) | (h>~(((((w>n)>(v>w))&v)&(j>((h>h)|w))))) | 1 | 0 | 0 | 0 | entailment |
~((n>(s>j))) | (i>(y|n)) | 1 | 1 | 0 | 0 | entailment |
~(~(~((n|v)))) | (i>(y|n)) | 0 | 1 | 0 | 0 | not entailment |
~((n>(s>j))) | (h>~(((((w>n)>(v>w))&v)&(j>((h>h)|w))))) | 0 | 0 | 0 | 0 | not entailment |
(~((y>w))&q) | (((n&w)|w)>~(((n|q)|s))) | 1 | 0 | 0 | 0 | entailment |
~(((~(v)&(n&n))>((~(q)&(s&n))&y))) | (i>n) | 1 | 1 | 0 | 0 | entailment |
(~((y>w))&q) | (i>n) | 0 | 1 | 0 | 0 | not entailment |
~(((~(v)&(n&n))>((~(q)&(s&n))&y))) | (((n&w)|w)>~(((n|q)|s))) | 0 | 1 | 0 | 0 | not entailment |
((q&((n>~((w|(i|y))))&((h&i)>n)))&(i&j)) | (~(n)&(j|s)) | 1 | 1 | 0 | 0 | entailment |
((w&n)&(((q&(w>(j|y)))>(q|i))>(~(q)&b))) | ((~((v>b))|~(~(w)))&b) | 1 | 1 | 0 | 0 | entailment |
((q&((n>~((w|(i|y))))&((h&i)>n)))&(i&j)) | ((~((v>b))|~(~(w)))&b) | 0 | 1 | 0 | 0 | not entailment |
((w&n)&(((q&(w>(j|y)))>(q|i))>(~(q)&b))) | (~(n)&(j|s)) | 0 | 1 | 0 | 0 | not entailment |
~((n>v)) | (((q&((i&(h>q))>(q|w)))&j)|n) | 1 | 0 | 0 | 0 | entailment |
(i&(~((b|v))>b)) | ~(~(((i|((s|(q|q))&w))|i))) | 1 | 0 | 0 | 0 | entailment |
~((n>v)) | ~(~(((i|((s|(q|q))&w))|i))) | 0 | 0 | 0 | 0 | not entailment |
(i&(~((b|v))>b)) | (((q&((i&(h>q))>(q|w)))&j)|n) | 0 | 0 | 0 | 0 | not entailment |
(q&n) | (((n&(n|q))|((b>i)&w))>((b>h)>n)) | 1 | 0 | 0 | 0 | entailment |
((n&(q&((b&i)&s)))|(~(s)>s)) | (~(((n&j)&~(s)))|s) | 1 | 1 | 0 | 0 | entailment |
(q&n) | (~(((n&j)&~(s)))|s) | 0 | 0 | 0 | 0 | not entailment |
((n&(q&((b&i)&s)))|(~(s)>s)) | (((n&(n|q))|((b>i)&w))>((b>h)>n)) | 0 | 0 | 0 | 0 | not entailment |
(n&((j>s)&(b>w))) | (w|n) | 1 | 1 | 1 | 1 | entailment |
(q&~((j>v))) | (((y&w)|q)>(j|s)) | 1 | 0 | 0 | 0 | entailment |
(n&((j>s)&(b>w))) | (((y&w)|q)>(j|s)) | 0 | 1 | 0 | 0 | not entailment |
(q&~((j>v))) | (w|n) | 0 | 1 | 0 | 0 | not entailment |
(s&(j|s)) | (w>(~(s)>n)) | 1 | 0 | 0 | 0 | entailment |
~((i>~(~((s|(h>s)))))) | (h|((w|v)>((~(w)>(~(q)>n))&y))) | 1 | 0 | 0 | 0 | entailment |
(s&(j|s)) | (h|((w|v)>((~(w)>(~(q)>n))&y))) | 0 | 0 | 0 | 0 | not entailment |
~((i>~(~((s|(h>s)))))) | (w>(~(s)>n)) | 0 | 1 | 0 | 0 | not entailment |
((q|y)&~((v|~(((w&s)&n))))) | (~(s)>((n&y)|~((q&(b&i))))) | 1 | 1 | 0 | 0 | entailment |
~(~((~(~((n>v)))&h))) | (~(((h>s)|h))|((i|y)|(j>h))) | 1 | 0 | 0 | 0 | entailment |
((q|y)&~((v|~(((w&s)&n))))) | (~(((h>s)|h))|((i|y)|(j>h))) | 0 | 1 | 0 | 0 | not entailment |
~(~((~(~((n>v)))&h))) | (~(s)>((n&y)|~((q&(b&i))))) | 0 | 0 | 0 | 0 | not entailment |
~((n>(~((j>(b&b)))>y))) | ~(~((~((w|w))>(b>(~(~(~(y)))&q))))) | 1 | 0 | 0 | 0 | entailment |
((~(h)>(b&n))&h) | (((i|(b>w))>((h&i)|(~((w>q))>s)))|h) | 1 | 0 | 0 | 0 | entailment |
~((n>(~((j>(b&b)))>y))) | (((i|(b>w))>((h&i)|(~((w>q))>s)))|h) | 0 | 0 | 0 | 0 | not entailment |
((~(h)>(b&n))&h) | ~(~((~((w|w))>(b>(~(~(~(y)))&q))))) | 0 | 0 | 0 | 0 | not entailment |
~((b|(~((q|(n&(b|s))))|~(n)))) | ((b|j)>((h>n)|w)) | 1 | 1 | 0 | 0 | entailment |
(~(i)&(y&h)) | (~(i)&h) | 1 | 1 | 1 | 1 | entailment |
~((b|(~((q|(n&(b|s))))|~(n)))) | (~(i)&h) | 0 | 1 | 0 | 0 | not entailment |
(~(i)&(y&h)) | ((b|j)>((h>n)|w)) | 0 | 0 | 0 | 0 | not entailment |
~(s) | ((h&(s&j))>y) | 1 | 0 | 0 | 0 | entailment |
~(~(j)) | ((~(~(i))|i)>(j|h)) | 1 | 0 | 0 | 0 | entailment |
~(s) | ((~(~(i))|i)>(j|h)) | 0 | 0 | 0 | 0 | not entailment |
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