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 |
|---|---|---|---|---|---|---|
~((((n|d)&((j|n)&(t>j)))|((j|d)>d))) | ((t>((~(d)>t)|(~(n)&((n|j)>~(j)))))&n) | 0 | 0 | 1 | 0 | not entailment |
((n>j)&n) | (~(((j>(n|(j&n)))&(j>d)))&((n&j)>(j|n))) | 0 | 0 | 0 | 0 | not entailment |
((d>~(~(d)))>d) | ~((~(((t|(d|d))>(d|j)))&t)) | 1 | 0 | 0 | 0 | entailment |
~(((j|(t>d))|((n>j)|j))) | ~(((((t&d)>n)>(n&(t>j)))&(t&t))) | 1 | 0 | 1 | 0 | entailment |
((d>~(~(d)))>d) | ~(((((t&d)>n)>(n&(t>j)))&(t&t))) | 0 | 0 | 0 | 0 | not entailment |
~(((j|(t>d))|((n>j)|j))) | ~((~(((t|(d|d))>(d|j)))&t)) | 0 | 0 | 1 | 0 | not entailment |
((j&n)&~((n>((j>d)&(t&d))))) | (n|(d>~(t))) | 1 | 1 | 1 | 1 | entailment |
(d&(j|n)) | (((((n>t)|(n>(j>t)))|n)&(~(d)&(n&n)))>t) | 1 | 0 | 0 | 0 | entailment |
((j&n)&~((n>((j>d)&(t&d))))) | (((((n>t)|(n>(j>t)))|n)&(~(d)&(n&n)))>t) | 0 | 0 | 1 | 0 | not entailment |
(d&(j|n)) | (n|(d>~(t))) | 0 | 0 | 0 | 0 | not entailment |
(t&(d>t)) | ~(~(((j>(n&d))|(j&t)))) | 1 | 0 | 0 | 0 | entailment |
((~(~((~(~(n))|t)))|((n&t)|d))&n) | ((n|j)|((j&(n|n))|(t>(j|~(d))))) | 1 | 1 | 0 | 0 | entailment |
(t&(d>t)) | ((n|j)|((j&(n|n))|(t>(j|~(d))))) | 0 | 0 | 0 | 0 | not entailment |
((~(~((~(~(n))|t)))|((n&t)|d))&n) | ~(~(((j>(n&d))|(j&t)))) | 0 | 1 | 0 | 0 | not entailment |
(j&t) | (((d|n)&(t|j))|t) | 1 | 0 | 0 | 0 | entailment |
~(d) | (d>(((d>j)>(j>d))&(~(n)&t))) | 1 | 0 | 0 | 0 | entailment |
(j&t) | (d>(((d>j)>(j>d))&(~(n)&t))) | 0 | 0 | 0 | 0 | not entailment |
~(d) | (((d|n)&(t|j))|t) | 0 | 0 | 0 | 0 | not entailment |
(~((~(~(d))&d))&(j|j)) | ((d|j)|(~(~((d>n)))&(d|(j&(d>d))))) | 1 | 0 | 0 | 0 | entailment |
((~(((t&~((~((t>(d|d)))|n)))|n))|t)>t) | (n|t) | 1 | 1 | 1 | 1 | entailment |
(~((~(~(d))&d))&(j|j)) | (n|t) | 0 | 1 | 0 | 0 | not entailment |
((~(((t&~((~((t>(d|d)))|n)))|n))|t)>t) | ((d|j)|(~(~((d>n)))&(d|(j&(d>d))))) | 0 | 1 | 0 | 0 | not entailment |
~(((d|t)>(t|(n&j)))) | (~(((n>(j&d))|(t&j)))|(n|d)) | 1 | 0 | 1 | 0 | entailment |
(t&~(~(((n>n)|t)))) | (j|(~(d)|(t&((n>(n|j))>t)))) | 1 | 0 | 0 | 0 | entailment |
~(((d|t)>(t|(n&j)))) | (j|(~(d)|(t&((n>(n|j))>t)))) | 0 | 0 | 1 | 0 | not entailment |
(t&~(~(((n>n)|t)))) | (~(((n>(j&d))|(t&j)))|(n|d)) | 0 | 0 | 0 | 0 | not entailment |
(t&((t|(j>j))>~(((d&d)>(j&j))))) | ((n|t)>t) | 1 | 1 | 0 | 0 | entailment |
(~(~((j&n)))&~(~(n))) | (((~((j|n))>t)>n)|~(((n>(t|d))>d))) | 1 | 0 | 0 | 0 | entailment |
(t&((t|(j>j))>~(((d&d)>(j&j))))) | (((~((j|n))>t)>n)|~(((n>(t|d))>d))) | 0 | 0 | 0 | 0 | not entailment |
(~(~((j&n)))&~(~(n))) | ((n|t)>t) | 0 | 1 | 0 | 0 | not entailment |
~(~((d&~((t&(((t|t)&t)>t)))))) | ((t>d)&d) | 1 | 1 | 1 | 1 | entailment |
~(((~(~(~(n)))>((n>j)>d))>d)) | ~((~(t)&d)) | 1 | 1 | 0 | 0 | entailment |
~(~((d&~((t&(((t|t)&t)>t)))))) | ~((~(t)&d)) | 0 | 1 | 1 | 0 | not entailment |
~(((~(~(~(n)))>((n>j)>d))>d)) | ((t>d)&d) | 0 | 1 | 0 | 0 | not entailment |
((n&t)&d) | (d>~(~(~(~(t))))) | 1 | 0 | 1 | 0 | entailment |
(~(n)&d) | (((j>j)|d)>~((d>((n&j)&t)))) | 1 | 0 | 0 | 0 | entailment |
((n&t)&d) | (((j>j)|d)>~((d>((n&j)&t)))) | 0 | 0 | 0 | 0 | not entailment |
(~(n)&d) | (d>~(~(~(~(t))))) | 0 | 0 | 0 | 0 | not entailment |
~(((((t>d)|((t|t)|j))&j)>~((j&t)))) | ((((j&j)&j)&(((j|(t|t))&j)|n))&j) | 1 | 1 | 0 | 0 | entailment |
~((n|(t&d))) | ~(n) | 1 | 1 | 1 | 1 | entailment |
~(((((t>d)|((t|t)|j))&j)>~((j&t)))) | ~(n) | 0 | 1 | 0 | 0 | not entailment |
~((n|(t&d))) | ((((j&j)&j)&(((j|(t|t))&j)|n))&j) | 0 | 0 | 0 | 0 | not entailment |
((~(((n>n)>d))>~((n>d)))>j) | (n>j) | 1 | 1 | 1 | 1 | entailment |
(d>((n|(n&(d&n)))&(((j>n)&j)&(j&n)))) | ((~(d)>~(~((t>n))))>(d>n)) | 1 | 1 | 0 | 0 | entailment |
((~(((n>n)>d))>~((n>d)))>j) | ((~(d)>~(~((t>n))))>(d>n)) | 0 | 1 | 0 | 0 | not entailment |
(d>((n|(n&(d&n)))&(((j>n)&j)&(j&n)))) | (n>j) | 0 | 1 | 1 | 0 | not entailment |
((d&(j&(j&t)))|((d&(d>j))&(j|~(t)))) | (n|(j&j)) | 1 | 1 | 0 | 0 | entailment |
((t&(~(d)>(j|d)))&((n>j)&(((n>t)|d)|d))) | ((d|~(~(d)))>t) | 1 | 1 | 1 | 0 | entailment |
((d&(j&(j&t)))|((d&(d>j))&(j|~(t)))) | ((d|~(~(d)))>t) | 0 | 1 | 1 | 1 | not entailment |
((t&(~(d)>(j|d)))&((n>j)&(((n>t)|d)|d))) | (n|(j&j)) | 0 | 1 | 1 | 0 | not entailment |
~(~((n&q))) | (q|q) | 1 | 1 | 1 | 1 | entailment |
(((e&(w>x))>w)|~(e)) | ((e>w)|~(((x|(n|n))>q))) | 1 | 0 | 0 | 0 | entailment |
~(~((n&q))) | ((e>w)|~(((x|(n|n))>q))) | 0 | 0 | 0 | 0 | not entailment |
(((e&(w>x))>w)|~(e)) | (q|q) | 0 | 1 | 0 | 0 | not entailment |
(~((w>~(~(~(n)))))&q) | (((w>n)&q)|~(n)) | 1 | 1 | 1 | 0 | entailment |
~((x&(x|~((n>((w>x)>q)))))) | (((n|x)&x)>(x&(~((x&x))|e))) | 1 | 1 | 0 | 0 | entailment |
(~((w>~(~(~(n)))))&q) | (((n|x)&x)>(x&(~((x&x))|e))) | 0 | 0 | 0 | 0 | not entailment |
~((x&(x|~((n>((w>x)>q)))))) | (((w>n)&q)|~(n)) | 0 | 1 | 1 | 0 | not entailment |
~(~(q)) | (~(q)>x) | 1 | 1 | 0 | 0 | entailment |
(~(~(n))&(e&w)) | (~(e)|n) | 1 | 1 | 1 | 0 | entailment |
~(~(q)) | (~(e)|n) | 0 | 1 | 0 | 0 | not entailment |
(~(~(n))&(e&w)) | (~(q)>x) | 0 | 1 | 0 | 0 | not entailment |
((e>(x|w))>(~(w)&x)) | ((e|(q|n))|((((q|w)&x)|w)>(w>x))) | 1 | 0 | 0 | 0 | entailment |
~((w>x)) | (~(w)>(w|((w>e)&(x>q)))) | 1 | 0 | 0 | 0 | entailment |
((e>(x|w))>(~(w)&x)) | (~(w)>(w|((w>e)&(x>q)))) | 0 | 0 | 0 | 0 | not entailment |
~((w>x)) | ((e|(q|n))|((((q|w)&x)|w)>(w>x))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((e>e)))>~(q))) | ((n|(w|q))|w) | 1 | 1 | 0 | 0 | entailment |
(x|(x&~(e))) | (((n>e)|x)>((n|(q>n))|x)) | 1 | 0 | 0 | 0 | entailment |
~((~(~((e>e)))>~(q))) | (((n>e)|x)>((n|(q>n))|x)) | 0 | 1 | 0 | 0 | not entailment |
(x|(x&~(e))) | ((n|(w|q))|w) | 0 | 1 | 0 | 0 | not entailment |
((n&x)&(q>n)) | ((~(q)|((e|x)|(x&~(q))))|(e&n)) | 1 | 0 | 0 | 0 | entailment |
((~(((n&(q&n))|x))&w)&((q&(w|w))&(n|q))) | (e|(q&~(((x&q)&(n&n))))) | 1 | 1 | 0 | 0 | entailment |
((n&x)&(q>n)) | (e|(q&~(((x&q)&(n&n))))) | 0 | 0 | 0 | 0 | not entailment |
((~(((n&(q&n))|x))&w)&((q&(w|w))&(n|q))) | ((~(q)|((e|x)|(x&~(q))))|(e&n)) | 0 | 1 | 0 | 0 | not entailment |
~((~(q)|(n|w))) | (~(w)|(n&n)) | 1 | 1 | 1 | 0 | entailment |
(w&(x|(x>n))) | (w|n) | 1 | 1 | 1 | 1 | entailment |
~((~(q)|(n|w))) | (w|n) | 0 | 1 | 1 | 0 | not entailment |
(w&(x|(x>n))) | (~(w)|(n&n)) | 0 | 1 | 1 | 0 | not entailment |
(e&(w&q)) | (~((e&(w&~(n))))|q) | 1 | 0 | 0 | 0 | entailment |
(x&((n>x)|(q|e))) | (~((n|q))|(x|x)) | 1 | 1 | 1 | 0 | entailment |
(e&(w&q)) | (~((n|q))|(x|x)) | 0 | 0 | 0 | 0 | not entailment |
(x&((n>x)|(q|e))) | (~((e&(w&~(n))))|q) | 0 | 0 | 0 | 0 | not entailment |
(e&(e&n)) | ~(~((((q|n)|q)&e))) | 1 | 0 | 0 | 0 | entailment |
(w|((w&q)&n)) | ((x|w)|x) | 1 | 1 | 0 | 0 | entailment |
(e&(e&n)) | ((x|w)|x) | 0 | 1 | 0 | 0 | not entailment |
(w|((w&q)&n)) | ~(~((((q|n)|q)&e))) | 0 | 0 | 0 | 0 | not entailment |
((e|x)&((e|(n|x))&x)) | ((q>x)|e) | 1 | 1 | 0 | 0 | entailment |
(((q|n)>(x|n))>~((((x>w)|n)|e))) | ((n>~(~((~((x&q))|(n>w)))))&(n>q)) | 1 | 0 | 1 | 0 | entailment |
((e|x)&((e|(n|x))&x)) | ((n>~(~((~((x&q))|(n>w)))))&(n>q)) | 0 | 0 | 0 | 0 | not entailment |
(((q|n)>(x|n))>~((((x>w)|n)|e))) | ((q>x)|e) | 0 | 1 | 1 | 0 | not entailment |
~(((e&z)>f)) | ~(f) | 1 | 1 | 1 | 1 | entailment |
(k&((k&~((e&z)))>~(z))) | (~((z>~(~((z>k)))))>((k&z)&e)) | 1 | 0 | 1 | 1 | entailment |
~(((e&z)>f)) | (~((z>~(~((z>k)))))>((k&z)&e)) | 0 | 0 | 0 | 0 | not entailment |
(k&((k&~((e&z)))>~(z))) | ~(f) | 0 | 1 | 0 | 0 | not entailment |
(~(~((f>(z&k))))&(k|e)) | ((f&(((f|(k>k))|e)|~(e)))>((z>e)|k)) | 1 | 0 | 1 | 0 | entailment |
(((f>z)|k)>f) | ((e|z)|(f&f)) | 1 | 1 | 0 | 0 | entailment |
(~(~((f>(z&k))))&(k|e)) | ((e|z)|(f&f)) | 0 | 1 | 1 | 0 | not entailment |
(((f>z)|k)>f) | ((f&(((f|(k>k))|e)|~(e)))>((z>e)|k)) | 0 | 0 | 0 | 0 | not entailment |
~((k|(e>~(~((z&(z>e))))))) | (e&~((k|(k&(f>(f&f)))))) | 1 | 1 | 0 | 0 | entailment |
~((k>z)) | ~(~(k)) | 1 | 1 | 1 | 1 | entailment |
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