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 |
|---|---|---|---|---|---|---|
(~(a)&s) | (~((a&a))|((i|a)>((x&t)|~(~(z))))) | 1 | 0 | 0 | 0 | entailment |
(((z&t)|~(~(t)))&~(((x>i)>i))) | (~((a&a))|((i|a)>((x&t)|~(~(z))))) | 0 | 0 | 0 | 0 | not entailment |
(~(a)&s) | ((s&x)>~(~((i&(~(a)|((t&x)&x)))))) | 0 | 0 | 0 | 0 | not entailment |
(i&(t&z)) | ((w>z)|x) | 1 | 1 | 0 | 0 | entailment |
(~(((s&w)>(~(w)&~(a))))&~((z&s))) | ~((z&(~(x)>t))) | 1 | 1 | 0 | 0 | entailment |
(i&(t&z)) | ~((z&(~(x)>t))) | 0 | 0 | 0 | 0 | not entailment |
(~(((s&w)>(~(w)&~(a))))&~((z&s))) | ((w>z)|x) | 0 | 1 | 0 | 0 | not entailment |
~((~((~(~(x))|z))>t)) | ((z&(a&z))>~(~((t|(~(s)&(z&z)))))) | 1 | 0 | 0 | 0 | entailment |
~(~(((z&z)&~(((t&s)|(z>i)))))) | (((w|z)|t)|a) | 1 | 1 | 0 | 0 | entailment |
~((~((~(~(x))|z))>t)) | (((w|z)|t)|a) | 0 | 1 | 0 | 0 | not entailment |
~(~(((z&z)&~(((t&s)|(z>i)))))) | ((z&(a&z))>~(~((t|(~(s)&(z&z)))))) | 0 | 0 | 0 | 0 | not entailment |
~((((w&w)>(i&z))|x)) | ((a|(w|w))|~(((x&t)|((w&w)|((x>x)&a))))) | 1 | 0 | 0 | 0 | entailment |
~((w|((s&z)|s))) | ~(w) | 1 | 1 | 1 | 1 | entailment |
~((((w&w)>(i&z))|x)) | ~(w) | 0 | 1 | 1 | 0 | not entailment |
~((w|((s&z)|s))) | ((a|(w|w))|~(((x&t)|((w&w)|((x>x)&a))))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(i))|x)) | ~((i&(s>(x>a)))) | 1 | 1 | 0 | 0 | entailment |
((s&(x>w))&(x|(t|((w|~(i))&((i|s)>a))))) | (s|i) | 1 | 1 | 1 | 0 | entailment |
~((~(~(i))|x)) | (s|i) | 0 | 1 | 0 | 0 | not entailment |
((s&(x>w))&(x|(t|((w|~(i))&((i|s)>a))))) | ~((i&(s>(x>a)))) | 0 | 1 | 1 | 0 | not entailment |
(i&i) | (~(((z|~(s))>a))|(t>(((z>a)>i)|(x&z)))) | 1 | 0 | 0 | 0 | entailment |
(s&((i>(i|w))>(t>s))) | (((~(t)|~(z))&((i&s)|((x|i)|~(a))))|s) | 1 | 0 | 0 | 0 | entailment |
(i&i) | (((~(t)|~(z))&((i&s)|((x|i)|~(a))))|s) | 0 | 0 | 0 | 0 | not entailment |
(s&((i>(i|w))>(t>s))) | (~(((z|~(s))>a))|(t>(((z>a)>i)|(x&z)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(z)|((~(~(z))&x)|~(i)))) | (~((i>~((i|(s&t)))))&(((s&i)|a)|(a>z))) | 1 | 0 | 0 | 0 | entailment |
(a&((((w|t)&w)|i)>t)) | (~((a|w))>(w&((w|w)&s))) | 1 | 0 | 0 | 0 | entailment |
~((~(z)|((~(~(z))&x)|~(i)))) | (~((a|w))>(w&((w|w)&s))) | 0 | 1 | 0 | 0 | not entailment |
(a&((((w|t)&w)|i)>t)) | (~((i>~((i|(s&t)))))&(((s&i)|a)|(a>z))) | 0 | 0 | 0 | 0 | not entailment |
(z&t) | ((((x|x)|(w>i))|z)|((a>i)|s)) | 1 | 0 | 0 | 0 | entailment |
(((w|w)|(i>(a|s)))&(~((a>t))&w)) | (w&((~((w>w))>(a&i))|(~(((z|w)>z))&x))) | 1 | 0 | 0 | 0 | entailment |
(z&t) | (w&((~((w>w))>(a&i))|(~(((z|w)>z))&x))) | 0 | 0 | 0 | 0 | not entailment |
(((w|w)|(i>(a|s)))&(~((a>t))&w)) | ((((x|x)|(w>i))|z)|((a>i)|s)) | 0 | 1 | 0 | 0 | not entailment |
((x|i)&z) | (((~(x)&((i|x)>i))>w)|i) | 1 | 0 | 0 | 0 | entailment |
((((i&w)|s)&t)&~(z)) | (~(~(((z>a)|(t|(i|s)))))|s) | 1 | 0 | 0 | 0 | entailment |
((x|i)&z) | (~(~(((z>a)|(t|(i|s)))))|s) | 0 | 0 | 0 | 0 | not entailment |
((((i&w)|s)&t)&~(z)) | (((~(x)&((i|x)>i))>w)|i) | 0 | 0 | 0 | 0 | not entailment |
~((~((((k&k)>(n&n))&(q|n)))|(q>n))) | (k>((~((((n|n)|~(~(q)))&q))|q)&q)) | 1 | 1 | 1 | 0 | entailment |
(k|(~(n)>n)) | (~(~(((n>k)&q)))>(q>(q&k))) | 1 | 0 | 0 | 0 | entailment |
~((~((((k&k)>(n&n))&(q|n)))|(q>n))) | (~(~(((n>k)&q)))>(q>(q&k))) | 0 | 1 | 1 | 0 | not entailment |
(k|(~(n)>n)) | (k>((~((((n|n)|~(~(q)))&q))|q)&q)) | 0 | 0 | 0 | 0 | not entailment |
((n>n)>(q&q)) | ((n>(((n&(k>q))&q)>q))&q) | 1 | 0 | 0 | 0 | entailment |
(k&((q>~((~(q)&~(k))))|((n|n)|n))) | (q>(k|k)) | 1 | 1 | 1 | 1 | entailment |
((n>n)>(q&q)) | (q>(k|k)) | 0 | 1 | 0 | 0 | not entailment |
(k&((q>~((~(q)&~(k))))|((n|n)|n))) | ((n>(((n&(k>q))&q)>q))&q) | 0 | 1 | 1 | 0 | not entailment |
(n&q) | (q&((q&n)|(n|k))) | 1 | 0 | 0 | 0 | entailment |
(~(k)>(k&~(k))) | ((k|k)&((k>q)>((q>q)|q))) | 1 | 0 | 0 | 0 | entailment |
(n&q) | ((k|k)&((k>q)>((q>q)|q))) | 0 | 0 | 0 | 0 | not entailment |
(~(k)>(k&~(k))) | (q&((q&n)|(n|k))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(k))&~((n>q))) | (((n>k)&~((~((q|k))&k)))|~((k|q))) | 1 | 0 | 1 | 0 | entailment |
(((n>k)&q)|q) | (q&((q>~(n))|(n>q))) | 1 | 0 | 1 | 0 | entailment |
(~(~(k))&~((n>q))) | (q&((q>~(n))|(n>q))) | 0 | 1 | 1 | 0 | not entailment |
(((n>k)&q)|q) | (((n>k)&~((~((q|k))&k)))|~((k|q))) | 0 | 0 | 1 | 0 | not entailment |
(q&(k>n)) | (q|n) | 1 | 1 | 1 | 1 | entailment |
~(~(~((q&q)))) | ((n&k)|((q|q)>(q&k))) | 1 | 0 | 0 | 0 | entailment |
(q&(k>n)) | ((n&k)|((q|q)>(q&k))) | 0 | 0 | 1 | 0 | not entailment |
~(~(~((q&q)))) | (q|n) | 0 | 1 | 0 | 0 | not entailment |
~((((n|n)|(n&~((n&~(~(n))))))|k)) | ((((q|k)|(n&n))&(n|(k|q)))>q) | 1 | 1 | 0 | 0 | entailment |
~(((k&k)>q)) | (k|~((n>n))) | 1 | 1 | 0 | 0 | entailment |
~((((n|n)|(n&~((n&~(~(n))))))|k)) | (k|~((n>n))) | 0 | 1 | 1 | 0 | not entailment |
~(((k&k)>q)) | ((((q|k)|(n&n))&(n|(k|q)))>q) | 0 | 0 | 0 | 0 | not entailment |
((q>k)&k) | ((k|n)&((((k|n)>((k>n)&q))&q)>n)) | 1 | 0 | 0 | 0 | entailment |
(((((n&q)|~(q))>n)>~(n))&q) | ~(((n&(n>k))&~(q))) | 1 | 1 | 0 | 0 | entailment |
((q>k)&k) | ~(((n&(n>k))&~(q))) | 0 | 0 | 0 | 0 | not entailment |
(((((n&q)|~(q))>n)>~(n))&q) | ((k|n)&((((k|n)>((k>n)&q))&q)>n)) | 0 | 0 | 0 | 0 | not entailment |
(((q|~(((k>q)|~((k>(q>k))))))&n)&q) | (q|(((q|n)|(k|~(((q&q)>~(q)))))|k)) | 1 | 1 | 1 | 1 | entailment |
(~((n&n))|~((q|(~(q)>k)))) | (~(~(~(k)))>(n>((q>~(q))&n))) | 1 | 0 | 1 | 0 | entailment |
(((q|~(((k>q)|~((k>(q>k))))))&n)&q) | (~(~(~(k)))>(n>((q>~(q))&n))) | 0 | 1 | 1 | 0 | not entailment |
(~((n&n))|~((q|(~(q)>k)))) | (q|(((q|n)|(k|~(((q&q)>~(q)))))|k)) | 0 | 0 | 1 | 0 | not entailment |
(k|(~((q>((n|q)|(q&n))))&(n&~(n)))) | (q|(q|(k|k))) | 1 | 1 | 1 | 1 | entailment |
(((q|~((((q|k)|k)&q)))&n)&~(k)) | ((((n>k)>q)>(q>(n&((~(q)>~(k))&k))))>n) | 1 | 0 | 1 | 0 | entailment |
(k|(~((q>((n|q)|(q&n))))&(n&~(n)))) | ((((n>k)>q)>(q>(n&((~(q)>~(k))&k))))>n) | 0 | 0 | 1 | 0 | not entailment |
(((q|~((((q|k)|k)&q)))&n)&~(k)) | (q|(q|(k|k))) | 0 | 1 | 1 | 0 | not entailment |
((((n>k)|k)&(q&n))|(k&((q|q)&n))) | (n>q) | 1 | 1 | 1 | 1 | entailment |
~(((q|k)&(k>k))) | ~(((n&k)|k)) | 1 | 1 | 0 | 0 | entailment |
((((n>k)|k)&(q&n))|(k&((q|q)&n))) | ~(((n&k)|k)) | 0 | 1 | 1 | 0 | not entailment |
~(((q|k)&(k>k))) | (n>q) | 0 | 1 | 0 | 0 | not entailment |
(((q&q)&n)&(n>q)) | (((k&~(((k|n)|n)))>((~(k)>q)&q))>n) | 1 | 0 | 0 | 0 | entailment |
((k&(k|(k|q)))&q) | (q&(q>k)) | 1 | 1 | 1 | 0 | entailment |
(((q&q)&n)&(n>q)) | (q&(q>k)) | 0 | 1 | 0 | 0 | not entailment |
((k&(k|(k|q)))&q) | (((k&~(((k|n)|n)))>((~(k)>q)&q))>n) | 0 | 0 | 0 | 0 | not entailment |
(~((((q>n)&(q|k))>k))|((n|n)&(n>q))) | ((n>n)&n) | 1 | 1 | 1 | 1 | entailment |
(~(q)&(n>n)) | ~(q) | 1 | 1 | 1 | 1 | entailment |
(~((((q>n)&(q|k))>k))|((n|n)&(n>q))) | ~(q) | 0 | 1 | 1 | 1 | not entailment |
(~(q)&(n>n)) | ((n>n)&n) | 0 | 1 | 1 | 1 | not entailment |
~(((~((k|n))&k)|(((k>q)>(n|k))>n))) | (((((k|n)>(n&~(n)))&q)&q)|((~(q)&k)|k)) | 1 | 0 | 1 | 0 | entailment |
(n|~(~(n))) | ((n&(n>n))|n) | 1 | 1 | 1 | 0 | entailment |
~(((~((k|n))&k)|(((k>q)>(n|k))>n))) | ((n&(n>n))|n) | 0 | 1 | 1 | 1 | not entailment |
(n|~(~(n))) | (((((k|n)>(n&~(n)))&q)&q)|((~(q)&k)|k)) | 0 | 0 | 0 | 0 | not entailment |
(n|(n|~(q))) | ((q>(q&(k&q)))>((n|(n|(q>n)))|n)) | 1 | 0 | 0 | 0 | entailment |
(~((((k|(k>q))&n)>q))>q) | (((k|(k&k))&((n>k)|(~(q)>q)))|((n|q)>q)) | 1 | 0 | 1 | 1 | entailment |
(n|(n|~(q))) | (((k|(k&k))&((n>k)|(~(q)>q)))|((n|q)>q)) | 0 | 0 | 0 | 0 | not entailment |
(~((((k|(k>q))&n)>q))>q) | ((q>(q&(k&q)))>((n|(n|(q>n)))|n)) | 0 | 0 | 1 | 0 | not entailment |
((~((~(n)>q))&~(k))|n) | ((((q&n)|k)|n)>n) | 1 | 1 | 1 | 1 | entailment |
~((~(k)|(~(n)&(~((k|k))|~(q))))) | (n|q) | 1 | 1 | 1 | 1 | entailment |
((~((~(n)>q))&~(k))|n) | (n|q) | 0 | 1 | 1 | 0 | not entailment |
~((~(k)|(~(n)&(~((k|k))|~(q))))) | ((((q&n)|k)|n)>n) | 0 | 1 | 1 | 0 | not entailment |
((j>z)>~(((z&(g|k))>(z&z)))) | (g>(~((g|j))|(~(j)>~((h|(g>h)))))) | 1 | 0 | 0 | 0 | entailment |
((k|k)&g) | (((z>(~((z&k))&k))&z)|~(~(g))) | 1 | 0 | 0 | 0 | entailment |
((j>z)>~(((z&(g|k))>(z&z)))) | (((z>(~((z&k))&k))&z)|~(~(g))) | 0 | 0 | 1 | 0 | not entailment |
((k|k)&g) | (g>(~((g|j))|(~(j)>~((h|(g>h)))))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(((((z|j)&g)|j)&~(k)))|g))) | ((((z|g)&j)&((z&k)|(z&(z|g))))>(g|k)) | 1 | 1 | 1 | 0 | entailment |
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