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 |
|---|---|---|---|---|---|---|
(~(~(((~(o)&(o|o))&h)))|(o|i)) | (~(~(o))|i) | 1 | 1 | 1 | 1 | entailment |
(h&((~(i)|~(~(((i&h)&o))))|~(h))) | ((((h&(i>h))&h)|(i>(i&h)))&h) | 1 | 1 | 1 | 1 | entailment |
(~(~(((~(o)&(o|o))&h)))|(o|i)) | ((((h&(i>h))&h)|(i>(i&h)))&h) | 0 | 1 | 1 | 0 | not entailment |
(h&((~(i)|~(~(((i&h)&o))))|~(h))) | (~(~(o))|i) | 0 | 1 | 1 | 1 | not entailment |
(i|(((o>o)>o)|o)) | ((i|o)|h) | 1 | 1 | 0 | 0 | entailment |
~(i) | (~(h)|~(i)) | 1 | 0 | 0 | 0 | entailment |
(i|(((o>o)>o)|o)) | (~(h)|~(i)) | 0 | 1 | 0 | 0 | not entailment |
~(i) | ((i|o)|h) | 0 | 0 | 0 | 0 | not entailment |
~((((((o>h)&h)&h)>(o&o))>(i>(h|o)))) | (((i&(h>~(i)))>((h|(o>i))>o))>o) | 1 | 1 | 1 | 0 | entailment |
((h&(~(h)>(h&(~((i&~(i)))|i))))&i) | ((i>(o|i))>h) | 1 | 1 | 0 | 0 | entailment |
~((((((o>h)&h)&h)>(o&o))>(i>(h|o)))) | ((i>(o|i))>h) | 0 | 1 | 1 | 0 | not entailment |
((h&(~(h)>(h&(~((i&~(i)))|i))))&i) | (((i&(h>~(i)))>((h|(o>i))>o))>o) | 0 | 1 | 0 | 0 | not entailment |
((i|(~((h>(h|h)))|~(h)))&i) | (h|i) | 1 | 1 | 1 | 1 | entailment |
((o&(((o>h)&i)>(h&h)))&o) | (o|h) | 1 | 1 | 1 | 1 | entailment |
((i|(~((h>(h|h)))|~(h)))&i) | (o|h) | 0 | 1 | 0 | 0 | not entailment |
((o&(((o>h)&i)>(h&h)))&o) | (h|i) | 0 | 1 | 1 | 0 | not entailment |
~(((h>o)>((h&o)>((i&i)&~(i))))) | ((((i&h)|(h|i))>~(i))>(~(h)|o)) | 1 | 1 | 1 | 1 | entailment |
~(i) | ((i>(h&o))>(~(i)|~(h))) | 1 | 0 | 0 | 0 | entailment |
~(((h>o)>((h&o)>((i&i)&~(i))))) | ((i>(h&o))>(~(i)|~(h))) | 0 | 1 | 1 | 0 | not entailment |
~(i) | ((((i&h)|(h|i))>~(i))>(~(h)|o)) | 0 | 0 | 0 | 0 | not entailment |
(~((((i&o)>o)&o))&(~(h)|i)) | (~((i&o))|h) | 1 | 1 | 1 | 0 | entailment |
((h|((h>~(o))>(o&o)))&((i&o)&i)) | ((((h|i)>~((i&o)))|(o&h))>h) | 1 | 1 | 1 | 0 | entailment |
(~((((i&o)>o)&o))&(~(h)|i)) | ((((h|i)>~((i&o)))|(o&h))>h) | 0 | 1 | 1 | 0 | not entailment |
((h|((h>~(o))>(o&o)))&((i&o)&i)) | (~((i&o))|h) | 0 | 1 | 1 | 0 | not entailment |
(i&h) | ~(~((o|h))) | 1 | 0 | 0 | 0 | entailment |
~(i) | ~((i&o)) | 1 | 0 | 0 | 0 | entailment |
(i&h) | ~((i&o)) | 0 | 0 | 0 | 0 | not entailment |
~(i) | ~(~((o|h))) | 0 | 0 | 0 | 0 | not entailment |
~(i) | (((i&o)&h)|(i>o)) | 1 | 0 | 0 | 0 | entailment |
((o>o)>(i&((i&h)>o))) | ~((h&~(((o>h)>i)))) | 1 | 1 | 1 | 1 | entailment |
~(i) | ~((h&~(((o>h)>i)))) | 0 | 0 | 0 | 0 | not entailment |
((o>o)>(i&((i&h)>o))) | (((i&o)&h)|(i>o)) | 0 | 1 | 1 | 0 | not entailment |
((u|w)&(z&j)) | (((y>(u|~((o|u))))&~((o|t)))>j) | 1 | 0 | 0 | 0 | entailment |
((z&z)&~((w|(~(u)>y)))) | ~((~(y)>(j&y))) | 1 | 1 | 0 | 0 | entailment |
((u|w)&(z&j)) | ~((~(y)>(j&y))) | 0 | 0 | 0 | 0 | not entailment |
((z&z)&~((w|(~(u)>y)))) | (((y>(u|~((o|u))))&~((o|t)))>j) | 0 | 0 | 0 | 0 | not entailment |
~(((o>(~((o&w))|f))|(z&(u|f)))) | (w&((((j&j)&(y>f))>(f|(f|w)))|(w&z))) | 1 | 0 | 0 | 0 | entailment |
((~(((o|y)&t))&t)&~(o)) | (f|~(o)) | 1 | 1 | 0 | 0 | entailment |
~(((o>(~((o&w))|f))|(z&(u|f)))) | (f|~(o)) | 0 | 1 | 1 | 0 | not entailment |
((~(((o|y)&t))&t)&~(o)) | (w&((((j&j)&(y>f))>(f|(f|w)))|(w&z))) | 0 | 0 | 0 | 0 | not entailment |
((t>(t>w))>(~(t)&f)) | (t|(w|f)) | 1 | 1 | 1 | 0 | entailment |
(y&(~(w)&o)) | (((j&w)&(u>u))>(~(w)&~((f|(j>y))))) | 1 | 0 | 0 | 0 | entailment |
((t>(t>w))>(~(t)&f)) | (((j&w)&(u>u))>(~(w)&~((f|(j>y))))) | 0 | 0 | 0 | 0 | not entailment |
(y&(~(w)&o)) | (t|(w|f)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((((((o|f)|f)>(j|w))|f)>z)))) | (z>o) | 1 | 1 | 1 | 0 | entailment |
~((((z&f)&j)>~(((u|(o&w))|j)))) | (f|(o|f)) | 1 | 1 | 1 | 1 | entailment |
~(~(~((((((o|f)|f)>(j|w))|f)>z)))) | (f|(o|f)) | 0 | 1 | 1 | 0 | not entailment |
~((((z&f)&j)>~(((u|(o&w))|j)))) | (z>o) | 0 | 1 | 1 | 0 | not entailment |
((f&(z&u))&~((t|(o|~((t|w)))))) | (y>~(t)) | 1 | 1 | 0 | 0 | entailment |
(o&~((j|((z&o)|(j&w))))) | (j>((t&~(z))|o)) | 1 | 1 | 0 | 0 | entailment |
((f&(z&u))&~((t|(o|~((t|w)))))) | (j>((t&~(z))|o)) | 0 | 1 | 0 | 0 | not entailment |
(o&~((j|((z&o)|(j&w))))) | (y>~(t)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((~(j)>z)>~(o))))&(f&o)) | ((z&z)>u) | 1 | 1 | 0 | 0 | entailment |
(w&z) | ((((o>(o>z))|(f>z))|(y&(f&(o&(u&u)))))&w) | 1 | 0 | 0 | 0 | entailment |
(~(~(((~(j)>z)>~(o))))&(f&o)) | ((((o>(o>z))|(f>z))|(y&(f&(o&(u&u)))))&w) | 0 | 0 | 0 | 0 | not entailment |
(w&z) | ((z&z)>u) | 0 | 0 | 0 | 0 | not entailment |
(~((~(~((o|o)))|~(w)))&z) | (o|((w>~(j))>(u|w))) | 1 | 1 | 0 | 0 | entailment |
~((u|o)) | ~(~((u>f))) | 1 | 0 | 0 | 0 | entailment |
(~((~(~((o|o)))|~(w)))&z) | ~(~((u>f))) | 0 | 1 | 0 | 0 | not entailment |
~((u|o)) | (o|((w>~(j))>(u|w))) | 0 | 0 | 0 | 0 | not entailment |
(~((((z&z)|(w>(z&(t|z))))>(w|(u>u))))|u) | ((((u>(y&~(w)))|z)>u)|y) | 1 | 1 | 0 | 0 | entailment |
((~(z)&(j>y))&f) | (z>~((((w|t)>z)>((o|t)>w)))) | 1 | 0 | 0 | 0 | entailment |
(~((((z&z)|(w>(z&(t|z))))>(w|(u>u))))|u) | (z>~((((w|t)>z)>((o|t)>w)))) | 0 | 1 | 0 | 0 | not entailment |
((~(z)&(j>y))&f) | ((((u>(y&~(w)))|z)>u)|y) | 0 | 0 | 0 | 0 | not entailment |
~((t|(u|w))) | (u|((u>f)>((t&w)>y))) | 1 | 0 | 0 | 0 | entailment |
((u|(y>u))&w) | (~((w>(j>~(t))))|((t&(t|~(f)))|w)) | 1 | 0 | 0 | 0 | entailment |
~((t|(u|w))) | (~((w>(j>~(t))))|((t&(t|~(f)))|w)) | 0 | 0 | 0 | 0 | not entailment |
((u|(y>u))&w) | (u|((u>f)>((t&w)>y))) | 0 | 0 | 0 | 0 | not entailment |
~((t|(o>(z>y)))) | (f|o) | 1 | 1 | 0 | 0 | entailment |
~(((u>~(j))>((f|y)>(f|w)))) | (w>~((w>j))) | 1 | 1 | 1 | 0 | entailment |
~((t|(o>(z>y)))) | (w>~((w>j))) | 0 | 1 | 0 | 0 | not entailment |
~(((u>~(j))>((f|y)>(f|w)))) | (f|o) | 0 | 1 | 0 | 0 | not entailment |
(~(y)&o) | ~((((f&y)&y)&((o>z)|(~(j)>u)))) | 1 | 0 | 0 | 0 | entailment |
~(((z>(w&(f>o)))>((u&u)>z))) | (y|~(~((u>(z>t))))) | 1 | 1 | 0 | 0 | entailment |
(~(y)&o) | (y|~(~((u>(z>t))))) | 0 | 0 | 0 | 0 | not entailment |
~(((z>(w&(f>o)))>((u&u)>z))) | ~((((f&y)&y)&((o>z)|(~(j)>u)))) | 0 | 0 | 0 | 0 | not entailment |
(~((o>y))&f) | (f|z) | 1 | 1 | 0 | 0 | entailment |
(w&y) | ((y|z)|((t>u)&((u>u)&t))) | 1 | 0 | 0 | 0 | entailment |
(~((o>y))&f) | ((y|z)|((t>u)&((u>u)&t))) | 0 | 0 | 0 | 0 | not entailment |
(w&y) | (f|z) | 0 | 1 | 0 | 0 | not entailment |
(u&(y&o)) | (~((y&((z&w)>t)))>(~((u|(f&o)))>(f>w))) | 1 | 0 | 0 | 0 | entailment |
~((((y|z)|w)|(u|z))) | ((u>(~(((z>(o|u))&z))&((t&y)>t)))|(f>j)) | 1 | 0 | 0 | 0 | entailment |
(u&(y&o)) | ((u>(~(((z>(o|u))&z))&((t&y)>t)))|(f>j)) | 0 | 0 | 0 | 0 | not entailment |
~((((y|z)|w)|(u|z))) | (~((y&((z&w)>t)))>(~((u|(f&o)))>(f>w))) | 0 | 0 | 0 | 0 | not entailment |
((u>f)>u) | (((z>u)|~(~(~((t&(y&y))))))|(j>(w>o))) | 1 | 0 | 0 | 0 | entailment |
(((((u>u)>f)|(y&y))>(y>w))&~(~((f>w)))) | (y>(f>w)) | 1 | 1 | 1 | 1 | entailment |
((u>f)>u) | (y>(f>w)) | 0 | 1 | 0 | 0 | not entailment |
(((((u>u)>f)|(y&y))>(y>w))&~(~((f>w)))) | (((z>u)|~(~(~((t&(y&y))))))|(j>(w>o))) | 0 | 1 | 0 | 0 | not entailment |
((t&w)&o) | (w&((o>((z&w)|~(w)))>((y>~(j))>z))) | 1 | 0 | 0 | 0 | entailment |
(((t|z)|~(~(t)))&((f|j)&(u&(f&t)))) | ~(~(~(~(u)))) | 1 | 1 | 1 | 1 | entailment |
((t&w)&o) | ~(~(~(~(u)))) | 0 | 0 | 0 | 0 | not entailment |
(((t|z)|~(~(t)))&((f|j)&(u&(f&t)))) | (w&((o>((z&w)|~(w)))>((y>~(j))>z))) | 0 | 1 | 0 | 0 | not entailment |
((t&(o&u))&((t>t)>~(f))) | (~(t)>((~(z)>z)&(o>f))) | 1 | 1 | 0 | 0 | entailment |
~((((o|y)>f)|((((t>w)>j)|t)|~(z)))) | (~(((j>y)|~(o)))>(~(f)&((j>w)&o))) | 1 | 1 | 1 | 0 | entailment |
((t&(o&u))&((t>t)>~(f))) | (~(((j>y)|~(o)))>(~(f)&((j>w)&o))) | 0 | 0 | 0 | 0 | not entailment |
~((((o|y)>f)|((((t>w)>j)|t)|~(z)))) | (~(t)>((~(z)>z)&(o>f))) | 0 | 1 | 1 | 0 | not entailment |
~((u>y)) | (o|(((y>y)&(u>y))>((t>~((u>j)))>~(y)))) | 1 | 0 | 0 | 0 | entailment |
(w&u) | (o>(~((j|(u|o)))|(w&o))) | 1 | 0 | 0 | 0 | entailment |
~((u>y)) | (o>(~((j|(u|o)))|(w&o))) | 0 | 0 | 0 | 0 | not entailment |
(w&u) | (o|(((y>y)&(u>y))>((t>~((u>j)))>~(y)))) | 0 | 0 | 0 | 0 | not entailment |
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