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 |
|---|---|---|---|---|---|---|
~((~(~(l))|(((d|l)|(l&d))&(f&c)))) | (~(l)&(~(c)|(f>(l>c)))) | 1 | 1 | 1 | 0 | entailment |
~(f) | (~(l)&(~(c)|(f>(l>c)))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(l))|(((d|l)|(l&d))&(f&c)))) | (f>c) | 0 | 1 | 1 | 0 | not entailment |
((l|(d|(l&d)))&(l&c)) | (l|c) | 1 | 1 | 1 | 1 | entailment |
~((d|(((d&l)>f)&(f>(f>d))))) | (d>(((d>f)&f)|f)) | 1 | 1 | 1 | 1 | entailment |
((l|(d|(l&d)))&(l&c)) | (d>(((d>f)&f)|f)) | 0 | 1 | 0 | 0 | not entailment |
~((d|(((d&l)>f)&(f>(f>d))))) | (l|c) | 0 | 1 | 0 | 0 | not entailment |
(((((c&l)|c)&l)>f)&(c&l)) | ~(~(~((f>((~(c)|f)&~((l&c))))))) | 1 | 0 | 1 | 0 | entailment |
~((d>(~((l>c))&(c&(c>d))))) | (l>(l&d)) | 1 | 1 | 1 | 0 | entailment |
(((((c&l)|c)&l)>f)&(c&l)) | (l>(l&d)) | 0 | 1 | 0 | 0 | not entailment |
~((d>(~((l>c))&(c&(c>d))))) | ~(~(~((f>((~(c)|f)&~((l&c))))))) | 0 | 0 | 0 | 0 | not entailment |
((f&c)|(c&~(c))) | (c&((~(d)>f)|(d&f))) | 1 | 0 | 0 | 0 | entailment |
((~((d&d))>(f&(~(f)>((d&l)&d))))>d) | ((d|~(l))|(l&~(f))) | 1 | 1 | 1 | 0 | entailment |
((f&c)|(c&~(c))) | ((d|~(l))|(l&~(f))) | 0 | 0 | 0 | 0 | not entailment |
((~((d&d))>(f&(~(f)>((d&l)&d))))>d) | (c&((~(d)>f)|(d&f))) | 0 | 1 | 0 | 0 | not entailment |
~((((d&f)>d)&l)) | ~((l&(l>c))) | 1 | 1 | 0 | 0 | entailment |
((d&(d>f))&(c|c)) | (f|(c|f)) | 1 | 1 | 1 | 1 | entailment |
~((((d&f)>d)&l)) | (f|(c|f)) | 0 | 1 | 0 | 0 | not entailment |
((d&(d>f))&(c|c)) | ~((l&(l>c))) | 0 | 1 | 0 | 0 | not entailment |
(~(~((~(l)|(d&((f>c)&l)))))&(l|d)) | (~((~(f)|(d&c)))>~(l)) | 1 | 1 | 1 | 1 | entailment |
~(~((c&l))) | (f|l) | 1 | 1 | 0 | 0 | entailment |
(~(~((~(l)|(d&((f>c)&l)))))&(l|d)) | (f|l) | 0 | 1 | 1 | 0 | not entailment |
~(~((c&l))) | (~((~(f)|(d&c)))>~(l)) | 0 | 0 | 0 | 0 | not entailment |
(~((((l>c)>c)>l))&(c&d)) | (((c|d)>d)&(l>~(f))) | 1 | 1 | 0 | 0 | entailment |
~(d) | ~((f&d)) | 1 | 0 | 0 | 0 | entailment |
(~((((l>c)>c)>l))&(c&d)) | ~((f&d)) | 0 | 1 | 0 | 0 | not entailment |
~(d) | (((c|d)>d)&(l>~(f))) | 0 | 0 | 0 | 0 | not entailment |
(~((~(((f>c)>c))>((f|d)|f)))&(c|l)) | ((l>(l&d))>~(l)) | 1 | 1 | 1 | 0 | entailment |
~(~(((l>d)&(d&(d|c))))) | ((c&(((d&d)>d)|l))|d) | 1 | 1 | 1 | 0 | entailment |
(~((~(((f>c)>c))>((f|d)|f)))&(c|l)) | ((c&(((d&d)>d)|l))|d) | 0 | 1 | 1 | 0 | not entailment |
~(~(((l>d)&(d&(d|c))))) | ((l>(l&d))>~(l)) | 0 | 1 | 1 | 0 | not entailment |
((c|((d>f)>f))&(((l&l)&d)|l)) | (((c&((f|d)>c))&d)|(l|~(~(f)))) | 1 | 0 | 1 | 0 | entailment |
~((((f>((d|l)>d))>d)>(l|((f|c)&f)))) | ((f>((d|c)|f))>(~(((f>l)>c))>(c|d))) | 1 | 1 | 1 | 0 | entailment |
((c|((d>f)>f))&(((l&l)&d)|l)) | ((f>((d|c)|f))>(~(((f>l)>c))>(c|d))) | 0 | 0 | 1 | 0 | not entailment |
~((((f>((d|l)>d))>d)>(l|((f|c)&f)))) | (((c&((f|d)>c))&d)|(l|~(~(f)))) | 0 | 1 | 1 | 0 | not entailment |
(o&~(w)) | (z>(o&(~((z>w))&o))) | 1 | 0 | 0 | 0 | entailment |
(o&n) | (~((o&w))>n) | 1 | 0 | 0 | 0 | entailment |
(o&~(w)) | (~((o&w))>n) | 0 | 0 | 0 | 0 | not entailment |
(o&n) | (z>(o&(~((z>w))&o))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(o))&z) | (o|n) | 1 | 1 | 0 | 0 | entailment |
(l&(w>~(n))) | (((w|z)>l)|~((((o&n)>l)|((l&o)>n)))) | 1 | 0 | 0 | 0 | entailment |
(~(~(o))&z) | (((w|z)>l)|~((((o&n)>l)|((l&o)>n)))) | 0 | 0 | 0 | 0 | not entailment |
(l&(w>~(n))) | (o|n) | 0 | 1 | 0 | 0 | not entailment |
~((~((~(w)|o))>(n>(n>o)))) | ((l&((z>n)|l))>~((o&~(w)))) | 1 | 1 | 0 | 0 | entailment |
(l&z) | ((o|z)>l) | 1 | 0 | 0 | 0 | entailment |
~((~((~(w)|o))>(n>(n>o)))) | ((o|z)>l) | 0 | 1 | 0 | 0 | not entailment |
(l&z) | ((l&((z>n)|l))>~((o&~(w)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(l)>l))) | (n|((o&w)>((l&o)|z))) | 1 | 0 | 0 | 0 | entailment |
~(~(w)) | (((n|l)|(w|n))>((z>z)>(n>w))) | 1 | 0 | 0 | 0 | entailment |
~(~((~(l)>l))) | (((n|l)|(w|n))>((z>z)>(n>w))) | 0 | 0 | 0 | 0 | not entailment |
~(~(w)) | (n|((o&w)>((l&o)|z))) | 0 | 0 | 0 | 0 | not entailment |
((o|o)&((l&z)>~(n))) | ((~((~(z)|l))>(n&(n>n)))>(((n>n)>o)|z)) | 1 | 0 | 1 | 0 | entailment |
~(((o|(n&(n|z)))&~((~(z)&(n&z))))) | (w>(z|~(n))) | 1 | 1 | 0 | 0 | entailment |
((o|o)&((l&z)>~(n))) | (w>(z|~(n))) | 0 | 1 | 0 | 0 | not entailment |
~(((o|(n&(n|z)))&~((~(z)&(n&z))))) | ((~((~(z)|l))>(n&(n>n)))>(((n>n)>o)|z)) | 0 | 0 | 0 | 0 | not entailment |
(~((w&o))&((o>(~(z)|n))&((n|l)>w))) | (w|~((((l|(o|z))>~((o|z)))&l))) | 1 | 1 | 1 | 0 | entailment |
~((~((o>n))|(l>n))) | ~(o) | 1 | 1 | 1 | 1 | entailment |
(~((w&o))&((o>(~(z)|n))&((n|l)>w))) | ~(o) | 0 | 1 | 1 | 1 | not entailment |
~((~((o>n))|(l>n))) | (w|~((((l|(o|z))>~((o|z)))&l))) | 0 | 0 | 0 | 0 | not entailment |
(z|(((w>n)&(w>o))&z)) | ((z&((n>z)>(z|(l&n))))|w) | 1 | 0 | 0 | 0 | entailment |
~(~(~(((n>z)|((l|((z|z)|(w|w)))>w))))) | ~(((l>z)&((z|(n&o))|l))) | 1 | 1 | 0 | 0 | entailment |
(z|(((w>n)&(w>o))&z)) | ~(((l>z)&((z|(n&o))|l))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((n>z)|((l|((z|z)|(w|w)))>w))))) | ((z&((n>z)>(z|(l&n))))|w) | 0 | 1 | 1 | 1 | not entailment |
(~(z)>z) | ((z>~((((z|((l&l)>w))&n)>z)))>(n|l)) | 1 | 0 | 0 | 0 | entailment |
~((((~((w>w))|w)|z)|(o>((o>l)|l)))) | ~(~((l>((w&(o>l))>~(~(~(o))))))) | 1 | 1 | 1 | 0 | entailment |
(~(z)>z) | ~(~((l>((w&(o>l))>~(~(~(o))))))) | 0 | 0 | 0 | 0 | not entailment |
~((((~((w>w))|w)|z)|(o>((o>l)|l)))) | ((z>~((((z|((l&l)>w))&n)>z)))>(n|l)) | 0 | 1 | 0 | 0 | not entailment |
((l>z)>n) | ~((~(~(~((n&n))))&z)) | 1 | 0 | 1 | 1 | entailment |
~((w|o)) | (((n|z)&(o|(l&o)))>((z>w)>(n>w))) | 1 | 0 | 0 | 0 | entailment |
((l>z)>n) | (((n|z)&(o|(l&o)))>((z>w)>(n>w))) | 0 | 0 | 0 | 0 | not entailment |
~((w|o)) | ~((~(~(~((n&n))))&z)) | 0 | 0 | 0 | 0 | not entailment |
(o&(~((w|(w&z)))&(l>o))) | ((~(~(o))|n)|~(l)) | 1 | 1 | 0 | 0 | entailment |
~((w>(((~(w)&~(l))&(n>(w>z)))&(o|n)))) | ~(~(w)) | 1 | 1 | 1 | 1 | entailment |
(o&(~((w|(w&z)))&(l>o))) | ~(~(w)) | 0 | 1 | 1 | 0 | not entailment |
~((w>(((~(w)&~(l))&(n>(w>z)))&(o|n)))) | ((~(~(o))|n)|~(l)) | 0 | 1 | 1 | 0 | not entailment |
(~(o)>(((((n|n)>w)>~(z))&(w|(l&w)))&z)) | ((~(n)|((l|z)|l))>o) | 1 | 1 | 1 | 0 | entailment |
(w&(z|z)) | ((((((n>o)|z)>o)>~(l))&o)>(z|z)) | 1 | 0 | 0 | 0 | entailment |
(~(o)>(((((n|n)>w)>~(z))&(w|(l&w)))&z)) | ((((((n>o)|z)>o)>~(l))&o)>(z|z)) | 0 | 1 | 1 | 0 | not entailment |
(w&(z|z)) | ((~(n)|((l|z)|l))>o) | 0 | 0 | 0 | 0 | not entailment |
((((w|l)&(l&z))|~(z))>((n|n)&((w&z)|z))) | ((((n>o)&(o|n))|(n|w))|(z|w)) | 1 | 1 | 0 | 0 | entailment |
~((n|(o|w))) | ~((~(~(w))&((z>n)&((w&z)&(n|z))))) | 1 | 0 | 0 | 0 | entailment |
((((w|l)&(l&z))|~(z))>((n|n)&((w&z)|z))) | ~((~(~(w))&((z>n)&((w&z)&(n|z))))) | 0 | 1 | 1 | 0 | not entailment |
~((n|(o|w))) | ((((n>o)&(o|n))|(n|w))|(z|w)) | 0 | 0 | 0 | 0 | not entailment |
~((~(z)|~((n|(((z&z)|(z>z))&(n|n)))))) | (((o&z)&(l|(n|(w&((w&l)|w)))))>((o>o)&n)) | 1 | 1 | 0 | 0 | entailment |
~((((~(~((z>l)))&((z>z)|z))&n)|l)) | ~((((z|n)|(w>~(z)))&~(~((l&l))))) | 1 | 1 | 0 | 0 | entailment |
~((~(z)|~((n|(((z&z)|(z>z))&(n|n)))))) | ~((((z|n)|(w>~(z)))&~(~((l&l))))) | 0 | 1 | 0 | 0 | not entailment |
~((((~(~((z>l)))&((z>z)|z))&n)|l)) | (((o&z)&(l|(n|(w&((w&l)|w)))))>((o>o)&n)) | 0 | 0 | 0 | 0 | not entailment |
(((l>o)>n)&o) | (w>((l|n)>n)) | 1 | 1 | 0 | 0 | entailment |
(((l|(o>(o&o)))>(z&w))&((o|(n|o))&w)) | ((((z>l)|z)>~(~((z>w))))>z) | 1 | 1 | 1 | 0 | entailment |
(((l>o)>n)&o) | ((((z>l)|z)>~(~((z>w))))>z) | 0 | 0 | 0 | 0 | not entailment |
(((l|(o>(o&o)))>(z&w))&((o|(n|o))&w)) | (w>((l|n)>n)) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(((~((n|l))|w)>w)))) | (((((l|n)>l)>l)>~((l&w)))&(l>(w&o))) | 1 | 0 | 0 | 0 | entailment |
(w&(o|o)) | (l|(w&o)) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((~((n|l))|w)>w)))) | (l|(w&o)) | 0 | 1 | 0 | 0 | not entailment |
(w&(o|o)) | (((((l|n)>l)>l)>~((l&w)))&(l>(w&o))) | 0 | 0 | 0 | 0 | not entailment |
~((~((z>l))|((l|o)|l))) | (~(~((l|((o&l)&(w&(z|w))))))>~(l)) | 1 | 0 | 0 | 0 | entailment |
(w&o) | ((~((l|l))>o)|~(~(~(n)))) | 1 | 0 | 0 | 0 | entailment |
~((~((z>l))|((l|o)|l))) | ((~((l|l))>o)|~(~(~(n)))) | 0 | 0 | 0 | 0 | not entailment |
(w&o) | (~(~((l|((o&l)&(w&(z|w))))))>~(l)) | 0 | 0 | 0 | 0 | not entailment |
(((((m|o)|o)&((f|a)&b))&f)&f) | (~(~((e|m)))>(~(((s>j)|a))>((f|b)>f))) | 1 | 0 | 0 | 0 | entailment |
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