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 |
---|---|---|---|---|---|---|
(~((f>~((f|t))))&t) | (t|(~(~(((t&~(~(~(f))))>f)))>t)) | 1 | 0 | 1 | 0 | entailment |
~((t|(f|f))) | (t>(~(t)&f)) | 1 | 1 | 1 | 0 | entailment |
(~((f>~((f|t))))&t) | (t>(~(t)&f)) | 0 | 1 | 1 | 0 | not entailment |
~((t|(f|f))) | (t|(~(~(((t&~(~(~(f))))>f)))>t)) | 0 | 0 | 1 | 0 | not entailment |
(g&(p&(~(d)&((h|g)>(~(o)&f))))) | (((o&z)|((f>~(d))>(w>p)))|f) | 1 | 1 | 0 | 0 | entailment |
~((d>~(g))) | ((((d>w)>(f&z))&(w&(d|z)))|d) | 1 | 0 | 0 | 0 | entailment |
(g&(p&(~(d)&((h|g)>(~(o)&f))))) | ((((d>w)>(f&z))&(w&(d|z)))|d) | 0 | 1 | 0 | 0 | not entailment |
~((d>~(g))) | (((o&z)|((f>~(d))>(w>p)))|f) | 0 | 0 | 0 | 0 | not entailment |
(j&p) | ((d|j)|g) | 1 | 0 | 0 | 0 | entailment |
((d>((p&o)&g))&~(((o>f)|((g|f)&o)))) | ((o|f)>~((d&o))) | 1 | 1 | 1 | 1 | entailment |
(j&p) | ((o|f)>~((d&o))) | 0 | 0 | 0 | 0 | not entailment |
((d>((p&o)&g))&~(((o>f)|((g|f)&o)))) | ((d|j)|g) | 0 | 1 | 0 | 0 | not entailment |
~(((d&p)>(~(~(z))&(g|(h|p))))) | ((~((f&~(~(~(p)))))>f)|p) | 1 | 1 | 0 | 0 | entailment |
(~(((j|j)>(w|d)))&~((z&j))) | ~(~(j)) | 1 | 1 | 1 | 1 | entailment |
~(((d&p)>(~(~(z))&(g|(h|p))))) | ~(~(j)) | 0 | 1 | 0 | 0 | not entailment |
(~(((j|j)>(w|d)))&~((z&j))) | ((~((f&~(~(~(p)))))>f)|p) | 0 | 1 | 0 | 0 | not entailment |
~((((z&(d|o))|d)|~((z&g)))) | (~((g>o))|(z|z)) | 1 | 1 | 1 | 1 | entailment |
(~(j)&d) | (((f&d)|(~((p>((z|g)|d)))|~(f)))|h) | 1 | 0 | 0 | 0 | entailment |
~((((z&(d|o))|d)|~((z&g)))) | (((f&d)|(~((p>((z|g)|d)))|~(f)))|h) | 0 | 0 | 0 | 0 | not entailment |
(~(j)&d) | (~((g>o))|(z|z)) | 0 | 0 | 0 | 0 | not entailment |
(((h&w)&~((z|f)))&g) | (g|(d|(~((h>z))&(o&(p>z))))) | 1 | 0 | 0 | 0 | entailment |
(~(((o|((o&w)>~(f)))>g))&~(g)) | (((w>w)&~(g))|z) | 1 | 1 | 0 | 0 | entailment |
(((h&w)&~((z|f)))&g) | (((w>w)&~(g))|z) | 0 | 1 | 1 | 0 | not entailment |
(~(((o|((o&w)>~(f)))>g))&~(g)) | (g|(d|(~((h>z))&(o&(p>z))))) | 0 | 1 | 0 | 0 | not entailment |
(g&(f&(o>j))) | (f|((h|(h|(~(w)>d)))|d)) | 1 | 0 | 0 | 0 | entailment |
((((h>p)|(j>j))&o)&(~(w)|~(((h&h)|h)))) | ((d|(j|o))&((g&o)|o)) | 1 | 1 | 0 | 0 | entailment |
(g&(f&(o>j))) | ((d|(j|o))&((g&o)|o)) | 0 | 0 | 0 | 0 | not entailment |
((((h>p)|(j>j))&o)&(~(w)|~(((h&h)|h)))) | (f|((h|(h|(~(w)>d)))|d)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((p>f)>(g|g))))) | ((h>f)|(d>((h|p)>(p>(((h|h)&(z|h))&o))))) | 1 | 0 | 0 | 0 | entailment |
(d&(z|p)) | ((d|w)|(h&~(~(((f&j)|g))))) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((p>f)>(g|g))))) | ((d|w)|(h&~(~(((f&j)|g))))) | 0 | 0 | 0 | 0 | not entailment |
(d&(z|p)) | ((h>f)|(d>((h|p)>(p>(((h|h)&(z|h))&o))))) | 0 | 0 | 0 | 0 | not entailment |
~((z>f)) | (g>((p>f)>z)) | 1 | 0 | 0 | 0 | entailment |
((p|o)&(g&(o>h))) | ~(~((j|g))) | 1 | 1 | 0 | 0 | entailment |
~((z>f)) | ~(~((j|g))) | 0 | 0 | 0 | 0 | not entailment |
((p|o)&(g&(o>h))) | (g>((p>f)>z)) | 0 | 1 | 0 | 0 | not entailment |
~((((z>h)&(w>d))>((j|g)>(g&g)))) | ((p>h)|((((z|j)|j)|j)>~(g))) | 1 | 1 | 0 | 0 | entailment |
~(((z&w)|(o>z))) | ~(~(o)) | 1 | 1 | 1 | 1 | entailment |
~((((z>h)&(w>d))>((j|g)>(g&g)))) | ~(~(o)) | 0 | 1 | 0 | 0 | not entailment |
~(((z&w)|(o>z))) | ((p>h)|((((z|j)|j)|j)>~(g))) | 0 | 0 | 0 | 0 | not entailment |
((~(w)&(f&o))&(j&(d&(~((z&d))>z)))) | (f|~((((h|g)|g)&g))) | 1 | 1 | 0 | 0 | entailment |
(((((j&p)|(h&z))|(~(w)&~(p)))&p)&h) | ((~((g|z))&p)|h) | 1 | 1 | 0 | 0 | entailment |
((~(w)&(f&o))&(j&(d&(~((z&d))>z)))) | ((~((g|z))&p)|h) | 0 | 1 | 0 | 0 | not entailment |
(((((j&p)|(h&z))|(~(w)&~(p)))&p)&h) | (f|~((((h|g)|g)&g))) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(o))|~(d))) | ((w>((w&~(w))&j))|((~(g)|(j&o))|d)) | 1 | 0 | 0 | 0 | entailment |
(g&((~(f)|d)|(p>(h>j)))) | (~(j)>(~(((p>j)>g))|(g|~(f)))) | 1 | 0 | 1 | 0 | entailment |
~((~(~(o))|~(d))) | (~(j)>(~(((p>j)>g))|(g|~(f)))) | 0 | 0 | 0 | 0 | not entailment |
(g&((~(f)|d)|(p>(h>j)))) | ((w>((w&~(w))&j))|((~(g)|(j&o))|d)) | 0 | 0 | 0 | 0 | not entailment |
((g>(o&w))&(f&((o|p)&(d>(w&(g&d)))))) | ((f|d)>f) | 1 | 1 | 1 | 0 | entailment |
~(~(~(((z&j)>~(~(g)))))) | ~((~(((p|(z>((h&z)|g)))>j))&d)) | 1 | 0 | 0 | 0 | entailment |
((g>(o&w))&(f&((o|p)&(d>(w&(g&d)))))) | ~((~(((p|(z>((h&z)|g)))>j))&d)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((z&j)>~(~(g)))))) | ((f|d)>f) | 0 | 1 | 0 | 0 | not entailment |
((w|((~((z|d))|z)&d))&((h&z)&f)) | (d|(z|((~(g)>p)|h))) | 1 | 1 | 0 | 0 | entailment |
~((((o|h)>j)&j)) | ~(j) | 1 | 1 | 1 | 1 | entailment |
((w|((~((z|d))|z)&d))&((h&z)&f)) | ~(j) | 0 | 1 | 0 | 0 | not entailment |
~((((o|h)>j)&j)) | (d|(z|((~(g)>p)|h))) | 0 | 0 | 0 | 0 | not entailment |
((~(o)&z)&(f|(z&w))) | (o>j) | 1 | 1 | 0 | 0 | entailment |
(~((g|h))&(w>z)) | ~(((((j>h)>o)|g)&h)) | 1 | 0 | 0 | 0 | entailment |
((~(o)&z)&(f|(z&w))) | ~(((((j>h)>o)|g)&h)) | 0 | 1 | 0 | 0 | not entailment |
(~((g|h))&(w>z)) | (o>j) | 0 | 1 | 0 | 0 | not entailment |
(s&(s&m)) | (s|~(~((~(r)>~(~(r)))))) | 1 | 0 | 0 | 0 | entailment |
~((s|((r|(m|m))&((w>r)&(w>r))))) | (((m|((m|r)>s))|~(a))>~(((m|w)&r))) | 1 | 0 | 0 | 0 | entailment |
(s&(s&m)) | (((m|((m|r)>s))|~(a))>~(((m|w)&r))) | 0 | 0 | 0 | 0 | not entailment |
~((s|((r|(m|m))&((w>r)&(w>r))))) | (s|~(~((~(r)>~(~(r)))))) | 0 | 1 | 1 | 0 | not entailment |
(m&~(a)) | (~(~(m))|(m|w)) | 1 | 0 | 0 | 0 | entailment |
(r&((m&m)>(((~(a)|w)&r)&r))) | (~(~((((r|~(r))|w)>r)))|a) | 1 | 1 | 1 | 0 | entailment |
(m&~(a)) | (~(~((((r|~(r))|w)>r)))|a) | 0 | 0 | 0 | 0 | not entailment |
(r&((m&m)>(((~(a)|w)&r)&r))) | (~(~(m))|(m|w)) | 0 | 1 | 1 | 0 | not entailment |
~((w|~(~(s)))) | ((a|((a|(s&s))|(s>r)))>~(w)) | 1 | 0 | 0 | 0 | entailment |
(((a|(r|m))|((a|m)&((r&r)&m)))&~((s>a))) | (s&(~((w>~((~(w)>a))))|(w>a))) | 1 | 1 | 0 | 0 | entailment |
~((w|~(~(s)))) | (s&(~((w>~((~(w)>a))))|(w>a))) | 0 | 0 | 0 | 0 | not entailment |
(((a|(r|m))|((a|m)&((r&r)&m)))&~((s>a))) | ((a|((a|(s&s))|(s>r)))>~(w)) | 0 | 1 | 0 | 0 | not entailment |
~((~(w)>(a>r))) | (~(((w>~(w))>r))|s) | 1 | 0 | 0 | 0 | entailment |
(r&((((w&s)>s)|(r>w))|((w>s)>r))) | (~(r)>(~(m)&r)) | 1 | 1 | 0 | 0 | entailment |
~((~(w)>(a>r))) | (~(r)>(~(m)&r)) | 0 | 1 | 0 | 0 | not entailment |
(r&((((w&s)>s)|(r>w))|((w>s)>r))) | (~(((w>~(w))>r))|s) | 0 | 1 | 1 | 1 | not entailment |
~((r|(r|(s>w)))) | (~(((a&~(m))|r))|~(m)) | 1 | 0 | 0 | 0 | entailment |
(((((r&r)>(m>m))|a)&w)|m) | (((m&m)>(m>w))>w) | 1 | 1 | 1 | 0 | entailment |
~((r|(r|(s>w)))) | (((m&m)>(m>w))>w) | 0 | 1 | 0 | 0 | not entailment |
(((((r&r)>(m>m))|a)&w)|m) | (~(((a&~(m))|r))|~(m)) | 0 | 1 | 1 | 0 | not entailment |
~(((m|~(m))>~(~(~((s&(a|(w&a)))))))) | ~((~(s)&w)) | 1 | 1 | 1 | 0 | entailment |
(~(w)>((~(~(r))>r)>(w&a))) | (~((~(s)&(m&a)))>w) | 1 | 1 | 0 | 0 | entailment |
~(((m|~(m))>~(~(~((s&(a|(w&a)))))))) | (~((~(s)&(m&a)))>w) | 0 | 1 | 1 | 0 | not entailment |
(~(w)>((~(~(r))>r)>(w&a))) | ~((~(s)&w)) | 0 | 1 | 0 | 0 | not entailment |
(w&((((w>r)|w)>(a>a))>m)) | (~(s)|m) | 1 | 1 | 0 | 0 | entailment |
((s&m)|s) | (~(w)|(~(((s&~(w))&w))>s)) | 1 | 0 | 0 | 0 | entailment |
(w&((((w>r)|w)>(a>a))>m)) | (~(w)|(~(((s&~(w))&w))>s)) | 0 | 0 | 0 | 0 | not entailment |
((s&m)|s) | (~(s)|m) | 0 | 1 | 1 | 0 | not entailment |
~((s>(m>(m>~((r>w)))))) | (((s|r)&s)&((a&m)|(s>m))) | 1 | 1 | 0 | 0 | entailment |
((r>r)>~((~(w)>(r&((s>s)&s))))) | (((m&w)|s)>~(r)) | 1 | 1 | 0 | 0 | entailment |
~((s>(m>(m>~((r>w)))))) | (((m&w)|s)>~(r)) | 0 | 1 | 1 | 0 | not entailment |
((r>r)>~((~(w)>(r&((s>s)&s))))) | (((s|r)&s)&((a&m)|(s>m))) | 0 | 1 | 0 | 0 | not entailment |
~(m) | (~(m)|~(a)) | 1 | 0 | 0 | 0 | entailment |
(((~(~(m))&w)|(s|r))>((m&s)&~((w|w)))) | ~(((((a>w)&r)&(~(r)|(r|s)))&(s>~(m)))) | 1 | 1 | 0 | 0 | entailment |
~(m) | ~(((((a>w)&r)&(~(r)|(r|s)))&(s>~(m)))) | 0 | 0 | 0 | 0 | not entailment |
(((~(~(m))&w)|(s|r))>((m&s)&~((w|w)))) | (~(m)|~(a)) | 0 | 1 | 0 | 0 | not entailment |
(~(m)&((~(w)&~(w))&r)) | ((((w|w)&s)|~(a))>(r&(w>w))) | 1 | 0 | 0 | 0 | entailment |
((~((m&r))&s)|((w&s)&(s&s))) | ~(~((s|~(~(w))))) | 1 | 1 | 1 | 1 | entailment |
(~(m)&((~(w)&~(w))&r)) | ~(~((s|~(~(w))))) | 0 | 1 | 0 | 0 | not entailment |
((~((m&r))&s)|((w&s)&(s&s))) | ((((w|w)&s)|~(a))>(r&(w>w))) | 0 | 1 | 0 | 0 | not entailment |
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