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 |
|---|---|---|---|---|---|---|
~(((~(z)|~(((f>(z>f))|((z|f)&f))))>z)) | ((z&z)>((f>z)&f)) | 1 | 1 | 1 | 1 | entailment |
((f>f)>~((z>f))) | ~((f|f)) | 1 | 1 | 1 | 1 | entailment |
~(((~(z)|~(((f>(z>f))|((z|f)&f))))>z)) | ~((f|f)) | 0 | 1 | 1 | 1 | not entailment |
((f>f)>~((z>f))) | ((z&z)>((f>z)&f)) | 0 | 1 | 1 | 0 | not entailment |
(((~(~((w>w)))&h)&~(o))&(o>o)) | ~(((n&(o>w))&o)) | 1 | 1 | 0 | 0 | entailment |
(((o|(o>o))&(n|o))&o) | (w>((n|w)&o)) | 1 | 1 | 0 | 0 | entailment |
(((~(~((w>w)))&h)&~(o))&(o>o)) | (w>((n|w)&o)) | 0 | 1 | 0 | 0 | not entailment |
(((o|(o>o))&(n|o))&o) | ~(((n&(o>w))&o)) | 0 | 1 | 0 | 0 | not entailment |
~(~(n)) | ((o|n)|((n>(o&n))&o)) | 1 | 0 | 0 | 0 | entailment |
~(~(((h&((o|o)&o))|(o|(h|h))))) | (h|o) | 1 | 1 | 1 | 1 | entailment |
~(~(n)) | (h|o) | 0 | 1 | 0 | 0 | not entailment |
~(~(((h&((o|o)&o))|(o|(h|h))))) | ((o|n)|((n>(o&n))&o)) | 0 | 1 | 0 | 0 | not entailment |
(n|n) | ((o|n)&(n|(o>h))) | 1 | 0 | 0 | 0 | entailment |
~((~((w&h))>((o|w)>((w|w)>(w>o))))) | ~(~(((~(~((n&((o|n)>w))))|(n>w))&w))) | 1 | 0 | 0 | 0 | entailment |
(n|n) | ~(~(((~(~((n&((o|n)>w))))|(n>w))&w))) | 0 | 0 | 0 | 0 | not entailment |
~((~((w&h))>((o|w)>((w|w)>(w>o))))) | ((o|n)&(n|(o>h))) | 0 | 1 | 0 | 0 | not entailment |
((n&(w|(n>((n>h)|h))))&((o|w)&w)) | ((~(n)|~(((o|h)>w)))|((w&w)|~(~(o)))) | 1 | 0 | 1 | 0 | entailment |
~(((n|w)>((n&n)>o))) | (o>~(((h|o)>h))) | 1 | 1 | 0 | 0 | entailment |
((n&(w|(n>((n>h)|h))))&((o|w)&w)) | (o>~(((h|o)>h))) | 0 | 1 | 1 | 0 | not entailment |
~(((n|w)>((n&n)>o))) | ((~(n)|~(((o|h)>w)))|((w&w)|~(~(o)))) | 0 | 0 | 0 | 0 | not entailment |
((((w>((n|n)|(w>n)))>~(o))>((n&h)&o))|n) | (o|n) | 1 | 1 | 1 | 1 | entailment |
((~(~(((h&w)|(w&h))))>w)&~((h>w))) | (((o>((~(n)>w)|o))&o)|(h|(n&o))) | 1 | 1 | 0 | 0 | entailment |
((((w>((n|n)|(w>n)))>~(o))>((n&h)&o))|n) | (((o>((~(n)>w)|o))&o)|(h|(n&o))) | 0 | 1 | 1 | 0 | not entailment |
((~(~(((h&w)|(w&h))))>w)&~((h>w))) | (o|n) | 0 | 1 | 0 | 0 | not entailment |
~((o>h)) | ((~(w)&(n>w))|((o>o)>o)) | 1 | 0 | 0 | 0 | entailment |
(((o|h)|w)>(w&h)) | ((((n|n)>~(~(h)))>h)|((~(n)&~(o))|n)) | 1 | 0 | 0 | 0 | entailment |
~((o>h)) | ((((n|n)>~(~(h)))>h)|((~(n)&~(o))|n)) | 0 | 0 | 0 | 0 | not entailment |
(((o|h)|w)>(w&h)) | ((~(w)&(n>w))|((o>o)>o)) | 0 | 0 | 0 | 0 | not entailment |
(n&(w>n)) | ((o>(n&o))|((h&o)>w)) | 1 | 0 | 0 | 0 | entailment |
((o|(o&(h>n)))&o) | (((h>o)|((o&n)|n))>(~(h)|(o|o))) | 1 | 0 | 1 | 0 | entailment |
(n&(w>n)) | (((h>o)|((o&n)|n))>(~(h)|(o|o))) | 0 | 0 | 0 | 0 | not entailment |
((o|(o&(h>n)))&o) | ((o>(n&o))|((h&o)>w)) | 0 | 0 | 0 | 0 | not entailment |
((~(~((o>(~(o)>o))))>n)&o) | (n&(~((h|~((w>h))))>n)) | 1 | 1 | 0 | 0 | entailment |
~((w>(o&(o>w)))) | ((n&((o|(o>n))&o))>(w&((o&h)|(h|w)))) | 1 | 0 | 0 | 0 | entailment |
((~(~((o>(~(o)>o))))>n)&o) | ((n&((o|(o>n))&o))>(w&((o&h)|(h|w)))) | 0 | 0 | 0 | 0 | not entailment |
~((w>(o&(o>w)))) | (n&(~((h|~((w>h))))>n)) | 0 | 0 | 0 | 0 | not entailment |
~(((w>o)|(n>~(w)))) | ~(((((h|o)>h)>(w|n))>(h&(o&(w>w))))) | 1 | 0 | 0 | 0 | entailment |
(h&(~(~(h))>w)) | (w>h) | 1 | 1 | 1 | 0 | entailment |
~(((w>o)|(n>~(w)))) | (w>h) | 0 | 1 | 0 | 0 | not entailment |
(h&(~(~(h))>w)) | ~(((((h|o)>h)>(w|n))>(h&(o&(w>w))))) | 0 | 0 | 0 | 0 | not entailment |
(~((n>o))&(w>o)) | ((o>n)|((~(o)&(h&w))&(o>o))) | 1 | 0 | 0 | 0 | entailment |
((o&((h|n)|n))|~(((h>h)|n))) | (((h&w)>(h&w))>o) | 1 | 1 | 0 | 0 | entailment |
(~((n>o))&(w>o)) | (((h&w)>(h&w))>o) | 0 | 1 | 0 | 0 | not entailment |
((o&((h|n)|n))|~(((h>h)|n))) | ((o>n)|((~(o)&(h&w))&(o>o))) | 0 | 1 | 0 | 0 | not entailment |
((n&w)|(h&(w|~(~(w))))) | ~(~(w)) | 1 | 1 | 1 | 1 | entailment |
(n|~(((n>n)>o))) | (o>(o>n)) | 1 | 1 | 1 | 1 | entailment |
((n&w)|(h&(w|~(~(w))))) | (o>(o>n)) | 0 | 1 | 0 | 0 | not entailment |
(n|~(((n>n)>o))) | ~(~(w)) | 0 | 1 | 0 | 0 | not entailment |
((w&o)|w) | (((((n&h)|h)>((n|h)|o))>((h|n)>o))>w) | 1 | 0 | 0 | 0 | entailment |
~(((((o>n)|((o>~(~(w)))&n))|h)|w)) | ((w|o)>~((~(h)&n))) | 1 | 1 | 1 | 0 | entailment |
((w&o)|w) | ((w|o)>~((~(h)&n))) | 0 | 0 | 0 | 0 | not entailment |
~(((((o>n)|((o>~(~(w)))&n))|h)|w)) | (((((n&h)|h)>((n|h)|o))>((h|n)>o))>w) | 0 | 1 | 1 | 0 | not entailment |
(~((n&w))&~(~(~(o)))) | (n>~(w)) | 1 | 1 | 1 | 1 | entailment |
(n&(~(~(n))&w)) | ((w|~(h))&n) | 1 | 1 | 0 | 0 | entailment |
(~((n&w))&~(~(~(o)))) | ((w|~(h))&n) | 0 | 1 | 0 | 0 | not entailment |
(n&(~(~(n))&w)) | (n>~(w)) | 0 | 1 | 1 | 0 | not entailment |
(((o>o)|(~(~((w>n)))|w))&w) | (~(h)|w) | 1 | 1 | 0 | 0 | entailment |
(n&((h&w)|o)) | ((n&(n|h))|(n&w)) | 1 | 0 | 1 | 1 | entailment |
(((o>o)|(~(~((w>n)))|w))&w) | ((n&(n|h))|(n&w)) | 0 | 1 | 0 | 0 | not entailment |
(n&((h&w)|o)) | (~(h)|w) | 0 | 1 | 1 | 0 | not entailment |
~(u) | (~(~(q))>((i>u)>~(i))) | 1 | 0 | 0 | 0 | entailment |
(((s&(((y&j)|(~(j)&j))&e))|y)&u) | ((q>~(((i>y)|(r|(j|(j|r))))))|y) | 1 | 1 | 0 | 0 | entailment |
~(u) | ((q>~(((i>y)|(r|(j|(j|r))))))|y) | 0 | 0 | 0 | 0 | not entailment |
(((s&(((y&j)|(~(j)&j))&e))|y)&u) | (~(~(q))>((i>u)>~(i))) | 0 | 1 | 0 | 0 | not entailment |
(u&~((u>((i&s)>(((r|(i&y))|q)&e))))) | (~((q&(i&(e>s))))>((s&i)|~(s))) | 1 | 1 | 1 | 0 | entailment |
((e&r)&(((u|u)&((q|i)&u))|(((u|q)&y)&j))) | (r|(~(~(q))&(~((r&(q&((y&q)&e))))|i))) | 1 | 1 | 1 | 0 | entailment |
(u&~((u>((i&s)>(((r|(i&y))|q)&e))))) | (r|(~(~(q))&(~((r&(q&((y&q)&e))))|i))) | 0 | 0 | 1 | 0 | not entailment |
((e&r)&(((u|u)&((q|i)&u))|(((u|q)&y)&j))) | (~((q&(i&(e>s))))>((s&i)|~(s))) | 0 | 1 | 0 | 0 | not entailment |
~(s) | ((q>y)|(((q|(y&q))&s)>u)) | 1 | 0 | 0 | 0 | entailment |
~(~(((j&(i>e))|~(((j|~(r))>u))))) | (((~((j|q))&((e>r)&r))>(e|e))|(u>q)) | 1 | 1 | 0 | 0 | entailment |
~(s) | (((~((j|q))&((e>r)&r))>(e|e))|(u>q)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((j&(i>e))|~(((j|~(r))>u))))) | ((q>y)|(((q|(y&q))&s)>u)) | 0 | 1 | 0 | 0 | not entailment |
(((((y|(u&u))&q)|(y&r))&(i&(s|i)))&y) | ((u>s)|i) | 1 | 1 | 1 | 0 | entailment |
~(y) | ~((y&(j|j))) | 1 | 0 | 0 | 0 | entailment |
(((((y|(u&u))&q)|(y&r))&(i&(s|i)))&y) | ~((y&(j|j))) | 0 | 1 | 0 | 0 | not entailment |
~(y) | ((u>s)|i) | 0 | 0 | 0 | 0 | not entailment |
(s&~(q)) | ((j>s)|y) | 1 | 1 | 0 | 0 | entailment |
((u&r)&q) | (u|y) | 1 | 1 | 0 | 0 | entailment |
(s&~(q)) | (u|y) | 0 | 1 | 0 | 0 | not entailment |
((u&r)&q) | ((j>s)|y) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~((e|i))))&(s>e)) | ((((((r|e)&y)&(r|q))&u)>~((s&(j|q))))|q) | 1 | 0 | 0 | 0 | entailment |
~((r>~(((q|((~(e)>r)>r))>(j&u))))) | ((j|((u|j)|(y&(r|s))))>((((j&j)&u)|y)>j)) | 1 | 0 | 0 | 0 | entailment |
(~(~(~((e|i))))&(s>e)) | ((j|((u|j)|(y&(r|s))))>((((j&j)&u)|y)>j)) | 0 | 0 | 0 | 0 | not entailment |
~((r>~(((q|((~(e)>r)>r))>(j&u))))) | ((((((r|e)&y)&(r|q))&u)>~((s&(j|q))))|q) | 0 | 0 | 0 | 0 | not entailment |
(s|j) | ((e&u)|((i|j)|(r|s))) | 1 | 0 | 0 | 0 | entailment |
(((j|q)&((q&y)&(s>s)))&((r&u)|y)) | (((q|q)|u)|(~((y&~((q>i))))>(j&r))) | 1 | 0 | 0 | 0 | entailment |
(s|j) | (((q|q)|u)|(~((y&~((q>i))))>(j&r))) | 0 | 0 | 0 | 0 | not entailment |
(((j|q)&((q&y)&(s>s)))&((r&u)|y)) | ((e&u)|((i|j)|(r|s))) | 0 | 1 | 0 | 0 | not entailment |
(j&((u|e)>~(s))) | (s>j) | 1 | 1 | 1 | 1 | entailment |
((r>(i|s))>~(((r|y)>i))) | (i>q) | 1 | 1 | 0 | 0 | entailment |
(j&((u|e)>~(s))) | (i>q) | 0 | 1 | 0 | 0 | not entailment |
((r>(i|s))>~(((r|y)>i))) | (s>j) | 0 | 1 | 0 | 0 | not entailment |
(s&u) | (u|~(((i|j)|((e|q)>(j&~((y|u))))))) | 1 | 0 | 0 | 0 | entailment |
(y&(((y&r)&s)&(y>(r&y)))) | ((((e>q)|(i>s))&(q&y))|~((q&(u|s)))) | 1 | 0 | 0 | 0 | entailment |
(s&u) | ((((e>q)|(i>s))&(q&y))|~((q&(u|s)))) | 0 | 0 | 0 | 0 | not entailment |
(y&(((y&r)&s)&(y>(r&y)))) | (u|~(((i|j)|((e|q)>(j&~((y|u))))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((r&j)>~(~(y)))))) | (j|u) | 1 | 1 | 0 | 0 | entailment |
(((s>r)|~(((q|u)&(y|(q&j)))))&i) | ((e|(q|i))|q) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((r&j)>~(~(y)))))) | ((e|(q|i))|q) | 0 | 1 | 0 | 0 | not entailment |
(((s>r)|~(((q|u)&(y|(q&j)))))&i) | (j|u) | 0 | 1 | 1 | 0 | not entailment |
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