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>(u|((s>(f>~(o)))&i)))&(d&(u&i))) | (((g|f)>d)|d) | 1 | 1 | 0 | 0 | entailment |
~((~(j)|s)) | (s>(((((j>g)|u)&(i|(d|i)))>~((d&d)))&z)) | 1 | 0 | 0 | 0 | entailment |
((z>(u|((s>(f>~(o)))&i)))&(d&(u&i))) | (s>(((((j>g)|u)&(i|(d|i)))>~((d&d)))&z)) | 0 | 0 | 0 | 0 | not entailment |
~((~(j)|s)) | (((g|f)>d)|d) | 0 | 1 | 0 | 0 | not entailment |
(i&(s&f)) | ((d|(~(h)|d))|i) | 1 | 0 | 0 | 0 | entailment |
((g>u)&~((u>f))) | ((j&d)|(~(((z>~((z&j)))|g))|(~(u)>d))) | 1 | 0 | 0 | 0 | entailment |
(i&(s&f)) | ((j&d)|(~(((z>~((z&j)))|g))|(~(u)>d))) | 0 | 0 | 0 | 0 | not entailment |
((g>u)&~((u>f))) | ((d|(~(h)|d))|i) | 0 | 1 | 0 | 0 | not entailment |
~(((z&(o|j))>~((~(o)&~(~((f&d))))))) | ((o|~((((s>j)|j)|o)))>~(~((d>(u|s))))) | 1 | 1 | 0 | 0 | entailment |
~((~(((j|g)&g))|j)) | (~(u)>g) | 1 | 1 | 0 | 0 | entailment |
~(((z&(o|j))>~((~(o)&~(~((f&d))))))) | (~(u)>g) | 0 | 1 | 0 | 0 | not entailment |
~((~(((j|g)&g))|j)) | ((o|~((((s>j)|j)|o)))>~(~((d>(u|s))))) | 0 | 0 | 0 | 0 | not entailment |
((u&o)&(~(~(d))|f)) | (~(o)>((o|~((f>i)))|g)) | 1 | 0 | 0 | 0 | entailment |
(~((z|o))&~((z|d))) | ~(d) | 1 | 1 | 1 | 1 | entailment |
((u&o)&(~(~(d))|f)) | ~(d) | 0 | 1 | 1 | 0 | not entailment |
(~((z|o))&~((z|d))) | (~(o)>((o|~((f>i)))|g)) | 0 | 0 | 0 | 0 | not entailment |
(~(((h|h)&(h&(w|~((j|~(j)))))))&(j&d)) | (~((((j|j)|d)>~(d)))&(j&j)) | 1 | 1 | 1 | 1 | entailment |
(d&w) | (w|(d>h)) | 1 | 0 | 0 | 0 | entailment |
(~(((h|h)&(h&(w|~((j|~(j)))))))&(j&d)) | (w|(d>h)) | 0 | 1 | 1 | 0 | not entailment |
(d&w) | (~((((j|j)|d)>~(d)))&(j&j)) | 0 | 0 | 0 | 0 | not entailment |
(((~((j|d))|d)>(j&h))&(j|h)) | (~((((w&h)|d)>j))>~(d)) | 1 | 1 | 0 | 0 | entailment |
(~((h&d))&d) | (~(~((~(w)|d)))>~((~((d|d))&(j&h)))) | 1 | 0 | 0 | 0 | entailment |
(((~((j|d))|d)>(j&h))&(j|h)) | (~(~((~(w)|d)))>~((~((d|d))&(j&h)))) | 0 | 0 | 0 | 0 | not entailment |
(~((h&d))&d) | (~((((w&h)|d)>j))>~(d)) | 0 | 0 | 0 | 0 | not entailment |
~((((w>w)&(j>h))>h)) | ~(h) | 1 | 1 | 1 | 1 | entailment |
(d&(d>(w>h))) | ((d|w)|(d|j)) | 1 | 1 | 0 | 0 | entailment |
~((((w>w)&(j>h))>h)) | ((d|w)|(d|j)) | 0 | 1 | 0 | 0 | not entailment |
(d&(d>(w>h))) | ~(h) | 0 | 1 | 1 | 0 | not entailment |
~(((j|j)&~(((h&(w>j))&h)))) | ((((h>j)>w)&h)|(j>h)) | 1 | 1 | 1 | 0 | entailment |
~(~((~(~((h|j)))&(w&((h|d)|w))))) | (w|((h|(w&~(h)))&~(j))) | 1 | 1 | 1 | 0 | entailment |
~(((j|j)&~(((h&(w>j))&h)))) | (w|((h|(w&~(h)))&~(j))) | 0 | 1 | 1 | 0 | not entailment |
~(~((~(~((h|j)))&(w&((h|d)|w))))) | ((((h>j)>w)&h)|(j>h)) | 0 | 1 | 1 | 0 | not entailment |
~(~(w)) | (((j>w)|h)|(~(~(~(d)))>(w|d))) | 1 | 0 | 0 | 0 | entailment |
((w&d)|j) | (d|(~(((w&w)>d))>((w&j)|h))) | 1 | 0 | 0 | 0 | entailment |
~(~(w)) | (d|(~(((w&w)>d))>((w&j)|h))) | 0 | 0 | 0 | 0 | not entailment |
((w&d)|j) | (((j>w)|h)|(~(~(~(d)))>(w|d))) | 0 | 0 | 0 | 0 | not entailment |
~(((d>((w|d)&d))>~(h))) | ~(~(~(((d>h)>~((d|h)))))) | 1 | 0 | 1 | 1 | entailment |
(w&(~((w|d))>h)) | ((d&j)>w) | 1 | 1 | 0 | 0 | entailment |
~(((d>((w|d)&d))>~(h))) | ((d&j)>w) | 0 | 1 | 0 | 0 | not entailment |
(w&(~((w|d))>h)) | ~(~(~(((d>h)>~((d|h)))))) | 0 | 0 | 1 | 0 | not entailment |
~(((w&j)>h)) | (((j>j)>(w>w))&(h>(w|(j>~(j))))) | 1 | 0 | 1 | 0 | entailment |
(j&d) | (((w&w)|w)>d) | 1 | 0 | 0 | 0 | entailment |
~(((w&j)>h)) | (((w&w)|w)>d) | 0 | 1 | 0 | 0 | not entailment |
(j&d) | (((j>j)>(w>w))&(h>(w|(j>~(j))))) | 0 | 0 | 0 | 0 | not entailment |
(w&((w|h)>h)) | (((j>~(h))&(((~(d)&~(~(h)))>d)>j))|h) | 1 | 0 | 0 | 0 | entailment |
~(h) | (((d&((h|w)|(h|j)))>j)|((h&(d&d))>j)) | 1 | 0 | 0 | 0 | entailment |
(w&((w|h)>h)) | (((d&((h|w)|(h|j)))>j)|((h&(d&d))>j)) | 0 | 0 | 0 | 0 | not entailment |
~(h) | (((j>~(h))&(((~(d)&~(~(h)))>d)>j))|h) | 0 | 0 | 0 | 0 | not entailment |
~(((d&j)>(w>((w&h)|~((d|j)))))) | ((w|d)|~((d|j))) | 1 | 1 | 1 | 0 | entailment |
(~(d)&(~((h|w))|j)) | (~((d|(h&d)))|h) | 1 | 1 | 1 | 0 | entailment |
~(((d&j)>(w>((w&h)|~((d|j)))))) | (~((d|(h&d)))|h) | 0 | 1 | 1 | 0 | not entailment |
(~(d)&(~((h|w))|j)) | ((w|d)|~((d|j))) | 0 | 1 | 1 | 0 | not entailment |
((d>(h&j))|(~(~(j))&h)) | (~(~(~((w&(h&d)))))>(d>j)) | 1 | 0 | 0 | 0 | entailment |
((j|w)>(((j>((d|h)|(h>w)))>d)&~(~(w)))) | (d|(j|(h>(h>(w>j))))) | 1 | 1 | 1 | 1 | entailment |
((d>(h&j))|(~(~(j))&h)) | (d|(j|(h>(h>(w>j))))) | 0 | 1 | 0 | 0 | not entailment |
((j|w)>(((j>((d|h)|(h>w)))>d)&~(~(w)))) | (~(~(~((w&(h&d)))))>(d>j)) | 0 | 1 | 1 | 1 | not entailment |
((~(~(w))>(j>(d&(w>h))))>(j&d)) | ((h&~((d&d)))>j) | 1 | 1 | 1 | 1 | entailment |
(h|(w&((j|w)&h))) | ((w|h)|h) | 1 | 1 | 1 | 1 | entailment |
((~(~(w))>(j>(d&(w>h))))>(j&d)) | ((w|h)|h) | 0 | 1 | 1 | 0 | not entailment |
(h|(w&((j|w)&h))) | ((h&~((d&d)))>j) | 0 | 1 | 0 | 0 | not entailment |
((w|(j>w))&(~(w)&~(h))) | (w|(h>j)) | 1 | 1 | 1 | 0 | entailment |
(~(d)|(~(d)|w)) | (~((d>(j|w)))>(w|w)) | 1 | 0 | 0 | 0 | entailment |
((w|(j>w))&(~(w)&~(h))) | (~((d>(j|w)))>(w|w)) | 0 | 1 | 0 | 0 | not entailment |
(~(d)|(~(d)|w)) | (w|(h>j)) | 0 | 1 | 0 | 0 | not entailment |
((j&w)&j) | (((~(h)|j)>j)>((j&d)|j)) | 1 | 0 | 0 | 0 | entailment |
(((~((w&(w>h)))&d)&d)|((~(j)>h)&d)) | (~(h)|d) | 1 | 1 | 1 | 1 | entailment |
((j&w)&j) | (~(h)|d) | 0 | 1 | 0 | 0 | not entailment |
(((~((w&(w>h)))&d)&d)|((~(j)>h)&d)) | (((~(h)|j)>j)>((j&d)|j)) | 0 | 1 | 1 | 0 | not entailment |
~((w>(~(h)>((h|j)|(j&d))))) | (((w>h)>j)&((~(h)&~((d>j)))>d)) | 1 | 0 | 1 | 0 | entailment |
~(((((h>~(j))|h)>(h|d))|~(((j>w)|d)))) | (((w&d)&d)>h) | 1 | 1 | 1 | 0 | entailment |
~((w>(~(h)>((h|j)|(j&d))))) | (((w&d)&d)>h) | 0 | 1 | 1 | 0 | not entailment |
~(((((h>~(j))|h)>(h|d))|~(((j>w)|d)))) | (((w>h)>j)&((~(h)&~((d>j)))>d)) | 0 | 1 | 1 | 0 | not entailment |
((w|w)&h) | (d|(j|w)) | 1 | 1 | 0 | 0 | entailment |
~(((((j>j)|h)>(d|w))&(((h>w)|j)|w))) | (w>(d&w)) | 1 | 1 | 1 | 0 | entailment |
((w|w)&h) | (w>(d&w)) | 0 | 1 | 0 | 0 | not entailment |
~(((((j>j)|h)>(d|w))&(((h>w)|j)|w))) | (d|(j|w)) | 0 | 1 | 1 | 0 | not entailment |
(f&q) | ~(~(((z&~(~(k)))|~(~(f))))) | 1 | 0 | 0 | 0 | entailment |
~(j) | ~(((q&j)&~(~(p)))) | 1 | 0 | 0 | 0 | entailment |
(f&q) | ~(((q&j)&~(~(p)))) | 0 | 0 | 0 | 0 | not entailment |
~(j) | ~(~(((z&~(~(k)))|~(~(f))))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(z)|(f>j))|(j&j))) | ((z|(~(f)&y))|z) | 1 | 1 | 0 | 0 | entailment |
~((((j|j)|f)>((z|p)|(f>j)))) | ~(((((~(j)&p)>j)>(p&p))&(v>z))) | 1 | 0 | 0 | 0 | entailment |
~(((~(z)|(f>j))|(j&j))) | ~(((((~(j)&p)>j)>(p&p))&(v>z))) | 0 | 0 | 0 | 0 | not entailment |
~((((j|j)|f)>((z|p)|(f>j)))) | ((z|(~(f)&y))|z) | 0 | 1 | 0 | 0 | not entailment |
((f&(v>f))&~(v)) | (z|(~(f)>(y>q))) | 1 | 1 | 0 | 0 | entailment |
~((~(~((q&y)))|k)) | ((p>y)>~(k)) | 1 | 1 | 0 | 0 | entailment |
((f&(v>f))&~(v)) | ((p>y)>~(k)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~((q&y)))|k)) | (z|(~(f)>(y>q))) | 0 | 1 | 0 | 0 | not entailment |
(p|(p&f)) | (((p&v)&~((j|k)))|(~(v)>p)) | 1 | 0 | 0 | 0 | entailment |
~((((f&z)&(y|q))>((j&(p>(v>q)))&q))) | (((v|y)&(~((f&z))&y))>~(~(~((k>v))))) | 1 | 0 | 0 | 0 | entailment |
(p|(p&f)) | (((v|y)&(~((f&z))&y))>~(~(~((k>v))))) | 0 | 0 | 0 | 0 | not entailment |
~((((f&z)&(y|q))>((j&(p>(v>q)))&q))) | (((p&v)&~((j|k)))|(~(v)>p)) | 0 | 1 | 0 | 0 | not entailment |
~((~(((k>(z>z))&(f&p)))|~(f))) | ((y|(p|f))|(q>v)) | 1 | 1 | 0 | 0 | entailment |
~(((f|(~((y>(v>z)))&(f>f)))|j)) | (~(j)|k) | 1 | 1 | 0 | 0 | entailment |
~((~(((k>(z>z))&(f&p)))|~(f))) | (~(j)|k) | 0 | 1 | 0 | 0 | not entailment |
~(((f|(~((y>(v>z)))&(f>f)))|j)) | ((y|(p|f))|(q>v)) | 0 | 1 | 0 | 0 | not entailment |
((z&(p&f))&((q&(j&f))|j)) | ~(~((j|(~(q)&((p>y)&(q>(v>f))))))) | 1 | 0 | 0 | 0 | entailment |
(v&y) | ((q>(z|k))>y) | 1 | 0 | 0 | 0 | entailment |
((z&(p&f))&((q&(j&f))|j)) | ((q>(z|k))>y) | 0 | 1 | 0 | 0 | not entailment |
(v&y) | ~(~((j|(~(q)&((p>y)&(q>(v>f))))))) | 0 | 0 | 0 | 0 | not entailment |
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