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 |
|---|---|---|---|---|---|---|
(d&g) | ((h>a)>(a&a)) | 0 | 0 | 0 | 0 | not entailment |
((a|~(~(g)))&((g|(g>(w>g)))&h)) | (~(g)>a) | 1 | 1 | 1 | 1 | entailment |
((d>d)>p) | (p|((h&h)>(h&w))) | 1 | 0 | 0 | 0 | entailment |
((a|~(~(g)))&((g|(g>(w>g)))&h)) | (p|((h&h)>(h&w))) | 0 | 1 | 0 | 0 | not entailment |
((d>d)>p) | (~(g)>a) | 0 | 1 | 0 | 0 | not entailment |
(((w>w)&(g>p))&(h&p)) | (~((~((w|~((d&w))))&(a|g)))&h) | 1 | 0 | 0 | 0 | entailment |
((a>w)>(a|a)) | ((~((a&a))&d)>(~(g)>a)) | 1 | 0 | 0 | 0 | entailment |
(((w>w)&(g>p))&(h&p)) | ((~((a&a))&d)>(~(g)>a)) | 0 | 0 | 0 | 0 | not entailment |
((a>w)>(a|a)) | (~((~((w|~((d&w))))&(a|g)))&h) | 0 | 0 | 0 | 0 | not entailment |
((~((w|d))&~((a>(a>~(p)))))&((a>w)>a)) | (~((p|~((w|~((h&d))))))>a) | 1 | 1 | 0 | 0 | entailment |
(d&(w>g)) | (~(~(((w|a)|w)))>d) | 1 | 0 | 0 | 0 | entailment |
((~((w|d))&~((a>(a>~(p)))))&((a>w)>a)) | (~(~(((w|a)|w)))>d) | 0 | 1 | 1 | 0 | not entailment |
(d&(w>g)) | (~((p|~((w|~((h&d))))))>a) | 0 | 0 | 0 | 0 | not entailment |
((p|(h>(w|((w|g)>d))))&((~(d)&d)|(p&d))) | ((((p>w)>w)&(w|a))|(d|a)) | 1 | 1 | 0 | 0 | entailment |
~((((((a>d)>p)|d)|~(~(d)))|~((h>p)))) | ~(((p>p)&a)) | 1 | 1 | 1 | 1 | entailment |
((p|(h>(w|((w|g)>d))))&((~(d)&d)|(p&d))) | ~(((p>p)&a)) | 0 | 1 | 0 | 0 | not entailment |
~((((((a>d)>p)|d)|~(~(d)))|~((h>p)))) | ((((p>w)>w)&(w|a))|(d|a)) | 0 | 1 | 0 | 0 | not entailment |
~((((a&p)>(a&p))&(g>p))) | (((~((a|p))>w)>((p|g)&w))|(g|(g|g))) | 1 | 0 | 0 | 0 | entailment |
~((w>(~(g)>((g>w)&p)))) | ((p|w)|a) | 1 | 1 | 0 | 0 | entailment |
~((((a&p)>(a&p))&(g>p))) | ((p|w)|a) | 0 | 1 | 0 | 0 | not entailment |
~((w>(~(g)>((g>w)&p)))) | (((~((a|p))>w)>((p|g)&w))|(g|(g|g))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(p))>~((p&p))) | ~(((p&((h|(w|((d&w)|(d>d))))&h))&(a>g))) | 1 | 0 | 0 | 0 | entailment |
(((w&a)&~((a>~(h))))&(g|h)) | ~(~((~(~((g>~(d))))>(~(d)>a)))) | 1 | 0 | 0 | 0 | entailment |
(~(~(p))>~((p&p))) | ~(~((~(~((g>~(d))))>(~(d)>a)))) | 0 | 0 | 0 | 0 | not entailment |
(((w&a)&~((a>~(h))))&(g|h)) | ~(((p&((h|(w|((d&w)|(d>d))))&h))&(a>g))) | 0 | 0 | 0 | 0 | not entailment |
~(((w|(d&~(~((g|a)))))|p)) | (~(w)|(a&(d|w))) | 1 | 1 | 1 | 0 | entailment |
((~(p)>p)&((a|(w&h))>d)) | (h|(p&p)) | 1 | 1 | 1 | 0 | entailment |
~(((w|(d&~(~((g|a)))))|p)) | (h|(p&p)) | 0 | 1 | 0 | 0 | not entailment |
((~(p)>p)&((a|(w&h))>d)) | (~(w)|(a&(d|w))) | 0 | 1 | 1 | 0 | not entailment |
(w&~(h)) | ((~((w>p))&(h&~(p)))>(g&w)) | 1 | 0 | 0 | 0 | entailment |
~(~((h&~(((~(d)&(d>g))|(p&d)))))) | (((p&w)|g)>(((g>a)&p)|(d|h))) | 1 | 1 | 0 | 0 | entailment |
(w&~(h)) | (((p&w)|g)>(((g>a)&p)|(d|h))) | 0 | 0 | 0 | 0 | not entailment |
~(~((h&~(((~(d)&(d>g))|(p&d)))))) | ((~((w>p))&(h&~(p)))>(g&w)) | 0 | 1 | 0 | 0 | not entailment |
((w|h)&(w&(((w>p)>g)&g))) | (~(p)>(w|a)) | 1 | 1 | 0 | 0 | entailment |
((w|h)&(w&(((w>p)>g)&g))) | (g>h) | 0 | 1 | 1 | 0 | not entailment |
~(g) | (~(p)>(w|a)) | 0 | 0 | 0 | 0 | not entailment |
((~((p|h))>d)&a) | (((h|a)&(h>(g&h)))>(d>a)) | 1 | 0 | 0 | 0 | entailment |
((p>p)&h) | (g|((w>a)>h)) | 1 | 0 | 0 | 0 | entailment |
((~((p|h))>d)&a) | (g|((w>a)>h)) | 0 | 1 | 0 | 0 | not entailment |
((p>p)&h) | (((h|a)&(h>(g&h)))>(d>a)) | 0 | 0 | 0 | 0 | not entailment |
(~(~((~(~(d))>(w|p))))>(~((a|p))|d)) | (d|((g>(a>d))|(w>(d|p)))) | 1 | 1 | 0 | 0 | entailment |
(w&(~((p>p))|((p>(~(w)>w))&(h&a)))) | ~((g&~(w))) | 1 | 1 | 0 | 0 | entailment |
(~(~((~(~(d))>(w|p))))>(~((a|p))|d)) | ~((g&~(w))) | 0 | 1 | 0 | 0 | not entailment |
(w&(~((p>p))|((p>(~(w)>w))&(h&a)))) | (d|((g>(a>d))|(w>(d|p)))) | 0 | 1 | 0 | 0 | not entailment |
((((w>a)>a)&((g|~(~(a)))|(g>(g|g))))>d) | ((((a>d)|g)|(p|(a>h)))|(a>h)) | 1 | 1 | 0 | 0 | entailment |
~(d) | ((w>p)|((p>(g&p))&((a&d)>p))) | 1 | 0 | 0 | 0 | entailment |
((((w>a)>a)&((g|~(~(a)))|(g>(g|g))))>d) | ((w>p)|((p>(g&p))&((a&d)>p))) | 0 | 1 | 0 | 0 | not entailment |
~(d) | ((((a>d)|g)|(p|(a>h)))|(a>h)) | 0 | 0 | 0 | 0 | not entailment |
(((z|((z&x)|(x&(x&z))))>(z>z))&(x&x)) | ((x|((x>z)>x))&(z>x)) | 1 | 1 | 1 | 1 | entailment |
(z&(z>z)) | (((z&z)|(~((x>(x>z)))>z))|(z|((z>x)&z))) | 1 | 0 | 0 | 0 | entailment |
(((z|((z&x)|(x&(x&z))))>(z>z))&(x&x)) | (((z&z)|(~((x>(x>z)))>z))|(z|((z>x)&z))) | 0 | 0 | 1 | 1 | not entailment |
(z&(z>z)) | ((x|((x>z)>x))&(z>x)) | 0 | 0 | 0 | 0 | not entailment |
((((z>(x>z))|x)&(z>((z|x)>z)))>x) | ((x&x)&((x&x)&(x|(z|x)))) | 1 | 1 | 1 | 1 | entailment |
((z>~((x&z)))>z) | (z|(x&~(x))) | 1 | 1 | 1 | 0 | entailment |
((((z>(x>z))|x)&(z>((z|x)>z)))>x) | (z|(x&~(x))) | 0 | 1 | 1 | 1 | not entailment |
((z>~((x&z)))>z) | ((x&x)&((x&x)&(x|(z|x)))) | 0 | 0 | 1 | 1 | not entailment |
((((x|~(((x|x)>z)))&(~((x|z))>x))|x)&x) | ~((x>(~(x)&z))) | 1 | 1 | 1 | 1 | entailment |
(z|(z&z)) | (x>z) | 1 | 1 | 0 | 0 | entailment |
((((x|~(((x|x)>z)))&(~((x|z))>x))|x)&x) | (x>z) | 0 | 1 | 1 | 0 | not entailment |
(z|(z&z)) | ~((x>(~(x)&z))) | 0 | 0 | 0 | 0 | not entailment |
((z&x)&x) | (((z|z)|(z&x))|((x&z)|(z&z))) | 1 | 0 | 1 | 1 | entailment |
((x>(z&(x&x)))>(z>~((z>z)))) | (z>~(((x>x)&z))) | 1 | 1 | 1 | 1 | entailment |
((z&x)&x) | (z>~(((x>x)&z))) | 0 | 0 | 1 | 0 | not entailment |
((x>(z&(x&x)))>(z>~((z>z)))) | (((z|z)|(z&x))|((x&z)|(z&z))) | 0 | 1 | 1 | 1 | not entailment |
(z&x) | ~(~((((x&z)&x)|~((x|z))))) | 1 | 0 | 1 | 0 | entailment |
~((~((z>z))|(((z&(z&z))|(z>x))>(x>z)))) | (x>(z>((z|x)&~(z)))) | 1 | 1 | 1 | 0 | entailment |
(z&x) | (x>(z>((z|x)&~(z)))) | 0 | 0 | 1 | 0 | not entailment |
~((~((z>z))|(((z&(z&z))|(z>x))>(x>z)))) | ~(~((((x&z)&x)|~((x|z))))) | 0 | 1 | 1 | 0 | not entailment |
((x>~((z&(x|x))))>~((x>x))) | ((~(z)|(x&x))&(x>x)) | 1 | 1 | 1 | 0 | entailment |
(~((x|x))&~(~((z|(z|(x&(x|z))))))) | (x>~((x|(z&x)))) | 1 | 1 | 1 | 0 | entailment |
((x>~((z&(x|x))))>~((x>x))) | (x>~((x|(z&x)))) | 0 | 1 | 1 | 0 | not entailment |
(~((x|x))&~(~((z|(z|(x&(x|z))))))) | ((~(z)|(x&x))&(x>x)) | 0 | 1 | 1 | 0 | not entailment |
(z>~((z>~(x)))) | (z>(x&(z|z))) | 1 | 1 | 1 | 1 | entailment |
((~((x|(z&(x>x))))|z)&(x|z)) | ~(~(((((x|z)&z)|x)|x))) | 1 | 1 | 1 | 1 | entailment |
(z>~((z>~(x)))) | ~(~(((((x|z)&z)|x)|x))) | 0 | 0 | 1 | 1 | not entailment |
((~((x|(z&(x>x))))|z)&(x|z)) | (z>(x&(z|z))) | 0 | 1 | 1 | 1 | not entailment |
(x|x) | (~((z>z))|x) | 1 | 0 | 0 | 0 | entailment |
~(~(~((z&(z>z))))) | (x>~(z)) | 1 | 1 | 0 | 0 | entailment |
(x|x) | (x>~(z)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~((z&(z>z))))) | (~((z>z))|x) | 0 | 1 | 0 | 0 | not entailment |
(((x>((z>x)|z))&(((x|z)>(z|z))|x))>x) | (((z&x)>z)>x) | 1 | 1 | 1 | 1 | entailment |
(z&~(~((x>x)))) | (((x|z)>z)|z) | 1 | 1 | 1 | 0 | entailment |
(((x>((z>x)|z))&(((x|z)>(z|z))|x))>x) | (((x|z)>z)|z) | 0 | 1 | 1 | 1 | not entailment |
(z&~(~((x>x)))) | (((z&x)>z)>x) | 0 | 1 | 1 | 0 | not entailment |
(x>~((x>(x|z)))) | ((((x&x)|(x&x))|((z|x)&(x&x)))>z) | 1 | 0 | 1 | 0 | entailment |
(x&(x>x)) | ((((x>z)>(z&~((x&z))))&x)|z) | 1 | 0 | 0 | 0 | entailment |
(x>~((x>(x|z)))) | ((((x>z)>(z&~((x&z))))&x)|z) | 0 | 0 | 1 | 0 | not entailment |
(x&(x>x)) | ((((x&x)|(x&x))|((z|x)&(x&x)))>z) | 0 | 0 | 0 | 0 | not entailment |
~(((~((z&(z|x)))&~((x|(z>x))))|x)) | ((~((z&z))&x)>((z&z)&(z&(x>x)))) | 1 | 1 | 1 | 1 | entailment |
((x|z)&x) | ((((x&z)>z)>x)|(z|~((z>~((z&z)))))) | 1 | 0 | 1 | 0 | entailment |
~(((~((z&(z|x)))&~((x|(z>x))))|x)) | ((((x&z)>z)>x)|(z|~((z>~((z&z)))))) | 0 | 1 | 1 | 1 | not entailment |
((x|z)&x) | ((~((z&z))&x)>((z&z)&(z&(x>x)))) | 0 | 0 | 1 | 0 | not entailment |
(x&z) | ~(~(((x>((z>z)&z))&(z&(z&(z|x)))))) | 1 | 0 | 1 | 0 | entailment |
~(((~(x)|x)>x)) | (((z&(z|x))|x)>((z>(x&z))>~(z))) | 1 | 0 | 0 | 0 | entailment |
(x&z) | (((z&(z|x))|x)>((z>(x&z))>~(z))) | 0 | 0 | 1 | 0 | not entailment |
~(((~(x)|x)>x)) | ~(~(((x>((z>z)&z))&(z&(z&(z|x)))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(((z|(z|(x&z)))&(z|x)))) | (((z|(x>(x>(z>x))))&(z>x))>x) | 1 | 1 | 1 | 0 | entailment |
((~(z)&z)|~(~((~(x)&~((x|x)))))) | ~((((z>x)&(z|x))|x)) | 1 | 1 | 1 | 1 | entailment |
~(~(((z|(z|(x&z)))&(z|x)))) | ~((((z>x)&(z|x))|x)) | 0 | 1 | 1 | 0 | not entailment |
((~(z)&z)|~(~((~(x)&~((x|x)))))) | (((z|(x>(x>(z>x))))&(z>x))>x) | 0 | 1 | 1 | 0 | not entailment |
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