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 |
|---|---|---|---|---|---|---|
(y|~(r)) | (y>(r|(e&y))) | 0 | 0 | 0 | 0 | not entailment |
(r|(y&(y&e))) | ((e|((r>y)|y))|~((y>r))) | 0 | 0 | 1 | 0 | not entailment |
(((~(t)>~(~(~(h))))>(h>g))&g) | (f|(h>g)) | 1 | 1 | 0 | 0 | entailment |
~(((t>l)|((~(h)>(w>f))>(~(r)>~(u))))) | (~(l)>u) | 1 | 1 | 1 | 0 | entailment |
(((~(t)>~(~(~(h))))>(h>g))&g) | (~(l)>u) | 0 | 1 | 0 | 0 | not entailment |
~(((t>l)|((~(h)>(w>f))>(~(r)>~(u))))) | (f|(h>g)) | 0 | 1 | 0 | 0 | not entailment |
~(((~((j>(u>(s>w))))>f)|r)) | (~(r)|(u&f)) | 1 | 1 | 1 | 0 | entailment |
(((~(l)|~((w>h)))&l)&~(((t>~(j))|g))) | ((w|(t&~(u)))|((s&g)&(j|l))) | 1 | 1 | 0 | 0 | entailment |
~(((~((j>(u>(s>w))))>f)|r)) | ((w|(t&~(u)))|((s&g)&(j|l))) | 0 | 1 | 0 | 0 | not entailment |
(((~(l)|~((w>h)))&l)&~(((t>~(j))|g))) | (~(r)|(u&f)) | 0 | 1 | 0 | 0 | not entailment |
((g>((f&l)&h))&(j&((j&~(w))>h))) | ((r&(~(g)|w))>(~((j|(u&t)))>u)) | 1 | 1 | 0 | 0 | entailment |
(((u>w)>((~(r)|((w&s)>(h>r)))>(h>s)))&l) | (~(~(l))|((j>t)|u)) | 1 | 1 | 0 | 0 | entailment |
((g>((f&l)&h))&(j&((j&~(w))>h))) | (~(~(l))|((j>t)|u)) | 0 | 1 | 0 | 0 | not entailment |
(((u>w)>((~(r)|((w&s)>(h>r)))>(h>s)))&l) | ((r&(~(g)|w))>(~((j|(u&t)))>u)) | 0 | 1 | 0 | 0 | not entailment |
(w&~(~(((l&~((r&l)))&~((l&s)))))) | (g>((l&w)|~(((h|l)>u)))) | 1 | 1 | 0 | 0 | entailment |
(f>(r&w)) | ((~((s&~(u)))&(s&j))|(r|~(~(~(f))))) | 1 | 0 | 0 | 0 | entailment |
(w&~(~(((l&~((r&l)))&~((l&s)))))) | ((~((s&~(u)))&(s&j))|(r|~(~(~(f))))) | 0 | 0 | 0 | 0 | not entailment |
(f>(r&w)) | (g>((l&w)|~(((h|l)>u)))) | 0 | 0 | 0 | 0 | not entailment |
((w>h)>(~((g|s))&((r>t)&s))) | (f|(w|g)) | 1 | 1 | 0 | 0 | entailment |
~(((s|(t&~(s)))|w)) | ~(~(~((t&f)))) | 1 | 1 | 0 | 0 | entailment |
((w>h)>(~((g|s))&((r>t)&s))) | ~(~(~((t&f)))) | 0 | 1 | 0 | 0 | not entailment |
~(((s|(t&~(s)))|w)) | (f|(w|g)) | 0 | 1 | 0 | 0 | not entailment |
~((w>h)) | (r>((j|(u>~(~((s&l)))))|w)) | 1 | 0 | 0 | 0 | entailment |
~(((t>h)&f)) | ~(((~(j)|l)&~(((f&~(j))>(~(h)&t))))) | 1 | 0 | 0 | 0 | entailment |
~((w>h)) | ~(((~(j)|l)&~(((f&~(j))>(~(h)&t))))) | 0 | 0 | 0 | 0 | not entailment |
~(((t>h)&f)) | (r>((j|(u>~(~((s&l)))))|w)) | 0 | 0 | 0 | 0 | not entailment |
(~(((t&(~(f)>g))|t))&~((~(h)|f))) | ((s|h)|w) | 1 | 1 | 0 | 0 | entailment |
(l&f) | (w>f) | 1 | 1 | 0 | 0 | entailment |
(~(((t&(~(f)>g))|t))&~((~(h)|f))) | (w>f) | 0 | 1 | 0 | 0 | not entailment |
(l&f) | ((s|h)|w) | 0 | 0 | 0 | 0 | not entailment |
(h&(s>t)) | (((u&f)|t)>h) | 1 | 0 | 0 | 0 | entailment |
~(((f|h)>((w|((t|(g|(~(l)|s)))|j))|w))) | ~(((j&g)&t)) | 1 | 1 | 1 | 1 | entailment |
(h&(s>t)) | ~(((j&g)&t)) | 0 | 0 | 0 | 0 | not entailment |
~(((f|h)>((w|((t|(g|(~(l)|s)))|j))|w))) | (((u&f)|t)>h) | 0 | 1 | 0 | 0 | not entailment |
~(((h|(u&u))|f)) | (h>~((w|t))) | 1 | 1 | 0 | 0 | entailment |
(h&(g&(j&f))) | ((~(~(g))>(t>f))|((s&r)|r)) | 1 | 0 | 0 | 0 | entailment |
~(((h|(u&u))|f)) | ((~(~(g))>(t>f))|((s&r)|r)) | 0 | 0 | 0 | 0 | not entailment |
(h&(g&(j&f))) | (h>~((w|t))) | 0 | 1 | 0 | 0 | not entailment |
~((f|(~(((h>w)>((j>r)>(r|g))))|s))) | ((h|h)|((w&s)>r)) | 1 | 1 | 1 | 1 | entailment |
(~(~(~(~(u))))&((r>h)|(r|g))) | ((s>((u>r)|((h&u)>s)))>(u|l)) | 1 | 1 | 0 | 0 | entailment |
~((f|(~(((h>w)>((j>r)>(r|g))))|s))) | ((s>((u>r)|((h&u)>s)))>(u|l)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(~(u))))&((r>h)|(r|g))) | ((h|h)|((w&s)>r)) | 0 | 1 | 0 | 0 | not entailment |
(j&~((g>(r>(l>u))))) | ((u>((g|w)&(j|r)))|(s&((~(t)>(j&f))&j))) | 1 | 0 | 0 | 0 | entailment |
~(~(w)) | (((h&h)>s)|w) | 1 | 0 | 0 | 0 | entailment |
(j&~((g>(r>(l>u))))) | (((h&h)>s)|w) | 0 | 1 | 0 | 0 | not entailment |
~(~(w)) | ((u>((g|w)&(j|r)))|(s&((~(t)>(j&f))&j))) | 0 | 0 | 0 | 0 | not entailment |
(h&(j>l)) | ((r|h)|l) | 1 | 1 | 0 | 0 | entailment |
~((((l>(r>(t|t)))|l)>(r|(w|u)))) | (~(s)>(~((t>~(w)))>(t>j))) | 1 | 1 | 0 | 0 | entailment |
(h&(j>l)) | (~(s)>(~((t>~(w)))>(t>j))) | 0 | 0 | 0 | 0 | not entailment |
~((((l>(r>(t|t)))|l)>(r|(w|u)))) | ((r|h)|l) | 0 | 1 | 0 | 0 | not entailment |
((t|r)&~((~((r&((u&t)|j)))>l))) | (g|(f|((h|~(t))>(j>(h|s))))) | 1 | 1 | 0 | 0 | entailment |
(((~((u>l))>(h>w))|~(t))&~((j&s))) | ~(((h&j)&s)) | 1 | 1 | 1 | 1 | entailment |
((t|r)&~((~((r&((u&t)|j)))>l))) | ~(((h&j)&s)) | 0 | 1 | 0 | 0 | not entailment |
(((~((u>l))>(h>w))|~(t))&~((j&s))) | (g|(f|((h|~(t))>(j>(h|s))))) | 0 | 1 | 0 | 0 | not entailment |
~((s>(~(((t&(u>f))>l))>(s>(u>(l&w)))))) | (f&(w>t)) | 1 | 1 | 1 | 1 | entailment |
~(g) | ~(((j|h)&g)) | 1 | 0 | 0 | 0 | entailment |
~((s>(~(((t&(u>f))>l))>(s>(u>(l&w)))))) | ~(((j|h)&g)) | 0 | 1 | 0 | 0 | not entailment |
~(g) | (f&(w>t)) | 0 | 0 | 0 | 0 | not entailment |
~(((h|w)|~(((~(r)>r)&((j&u)&r))))) | ((j|(t&((u&l)|s)))&(~(u)>w)) | 1 | 1 | 0 | 0 | entailment |
((r>~(((~(w)&(r|s))&l)))&h) | (g>~(~((h|(w|h))))) | 1 | 1 | 0 | 0 | entailment |
~(((h|w)|~(((~(r)>r)&((j&u)&r))))) | (g>~(~((h|(w|h))))) | 0 | 1 | 0 | 0 | not entailment |
((r>~(((~(w)&(r|s))&l)))&h) | ((j|(t&((u&l)|s)))&(~(u)>w)) | 0 | 1 | 0 | 0 | not entailment |
((~(g)>(t&~((r|~((l&w))))))&(r>s)) | (l|((~(s)>(l&((h&j)|g)))>(t|g))) | 1 | 1 | 0 | 0 | entailment |
~((h&((f|~((t&l)))|t))) | (h>((w|r)|s)) | 1 | 1 | 0 | 0 | entailment |
((~(g)>(t&~((r|~((l&w))))))&(r>s)) | (h>((w|r)|s)) | 0 | 1 | 0 | 0 | not entailment |
~((h&((f|~((t&l)))|t))) | (l|((~(s)>(l&((h&j)|g)))>(t|g))) | 0 | 0 | 0 | 0 | not entailment |
~((g>~((w&h)))) | ~(~(((f>g)|~(((r&g)>(g&t)))))) | 1 | 0 | 0 | 0 | entailment |
((~(r)&~(t))&((h|s)&((f&j)&w))) | ((u>j)&((f&h)|(h>(~(g)&((s&(h&l))|h))))) | 1 | 0 | 0 | 0 | entailment |
~((g>~((w&h)))) | ((u>j)&((f&h)|(h>(~(g)&((s&(h&l))|h))))) | 0 | 0 | 0 | 0 | not entailment |
((~(r)&~(t))&((h|s)&((f&j)&w))) | ~(~(((f>g)|~(((r&g)>(g&t)))))) | 0 | 1 | 0 | 0 | not entailment |
~(((((w|s)|g)|(w&w))|(t|s))) | (~((j|~((u|l))))>(t>j)) | 1 | 1 | 0 | 0 | entailment |
((s>(j&r))&~(((t&(w|w))|(f|l)))) | ((g&~(((h|l)>~(t))))|(f>~(f))) | 1 | 1 | 0 | 0 | entailment |
~(((((w|s)|g)|(w&w))|(t|s))) | ((g&~(((h|l)>~(t))))|(f>~(f))) | 0 | 0 | 0 | 0 | not entailment |
((s>(j&r))&~(((t&(w|w))|(f|l)))) | (~((j|~((u|l))))>(t>j)) | 0 | 1 | 0 | 0 | not entailment |
(((u>(w>f))>((l>r)|w))>~((s>s))) | ~((w&~(~(~(s))))) | 1 | 1 | 1 | 1 | entailment |
(~((u>~(((j&(l|h))>~(((j>r)&w))))))&u) | ((h|j)>u) | 1 | 1 | 1 | 1 | entailment |
(((u>(w>f))>((l>r)|w))>~((s>s))) | ((h|j)>u) | 0 | 1 | 0 | 0 | not entailment |
(~((u>~(((j&(l|h))>~(((j>r)&w))))))&u) | ~((w&~(~(~(s))))) | 0 | 1 | 0 | 0 | not entailment |
(d|f) | ((~((f>d))>d)>((d|d)&(d&(f>(f|f))))) | 1 | 0 | 1 | 0 | entailment |
~((~(f)>(f&d))) | ((f|d)>~(~((d|~((~(d)&f)))))) | 1 | 0 | 1 | 0 | entailment |
(d|f) | ((f|d)>~(~((d|~((~(d)&f)))))) | 0 | 0 | 1 | 0 | not entailment |
~((~(f)>(f&d))) | ((~((f>d))>d)>((d|d)&(d&(f>(f|f))))) | 0 | 0 | 1 | 0 | not entailment |
(f|f) | (~(f)>f) | 1 | 0 | 1 | 1 | entailment |
~((f&(f>f))) | ((f&d)|~(f)) | 1 | 1 | 0 | 0 | entailment |
(f|f) | ((f&d)|~(f)) | 0 | 0 | 0 | 0 | not entailment |
~((f&(f>f))) | (~(f)>f) | 0 | 1 | 1 | 1 | not entailment |
((d>~(((f|f)&f)))>(f&d)) | ((f&((d>d)>f))|((f|d)|((d|f)|~((f>d))))) | 1 | 0 | 1 | 0 | entailment |
~(d) | ~((((f&((d|~((f|f)))&d))|(d&f))&(f|d))) | 1 | 0 | 0 | 0 | entailment |
((d>~(((f|f)&f)))>(f&d)) | ~((((f&((d|~((f|f)))&d))|(d&f))&(f|d))) | 0 | 0 | 1 | 0 | not entailment |
~(d) | ((f&((d>d)>f))|((f|d)|((d|f)|~((f>d))))) | 0 | 0 | 0 | 0 | not entailment |
(f&f) | (f|f) | 1 | 1 | 1 | 1 | entailment |
(d&(((~(d)>(f>d))|~((d|f)))>d)) | (d|d) | 1 | 1 | 1 | 1 | entailment |
(f&f) | (d|d) | 0 | 1 | 0 | 0 | not entailment |
(d&(((~(d)>(f>d))|~((d|f)))>d)) | (f|f) | 0 | 1 | 1 | 1 | not entailment |
(f&d) | (~(~((d|d)))|d) | 1 | 0 | 1 | 1 | entailment |
~((~(~((d|d)))|((d&~((d&(f>d))))&d))) | (f>(d>~(d))) | 1 | 1 | 1 | 1 | entailment |
(f&d) | (f>(d>~(d))) | 0 | 0 | 1 | 0 | not entailment |
~((~(~((d|d)))|((d&~((d&(f>d))))&d))) | (~(~((d|d)))|d) | 0 | 1 | 1 | 1 | not entailment |
(d&d) | (d|d) | 1 | 1 | 1 | 1 | entailment |
(d>f) | (~(d)|(~(((d|(~((d>f))|d))|f))|f)) | 1 | 0 | 1 | 0 | entailment |
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