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 |
|---|---|---|---|---|---|---|
(~(q)>q) | (q|n) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((w|w)>s)))) | ~(((~(w)&n)&p)) | 1 | 1 | 0 | 0 | entailment |
(~(q)>q) | ~(((~(w)&n)&p)) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((w|w)>s)))) | (q|n) | 0 | 1 | 0 | 0 | not entailment |
((p&p)&((q|p)>~(n))) | (n>q) | 1 | 1 | 1 | 0 | entailment |
((n&e)&(s&~(~((w>(q|(n&n))))))) | (((e|s)|q)>n) | 1 | 1 | 1 | 0 | entailment |
((p&p)&((q|p)>~(n))) | (((e|s)|q)>n) | 0 | 1 | 0 | 0 | not entailment |
((n&e)&(s&~(~((w>(q|(n&n))))))) | (n>q) | 0 | 1 | 1 | 0 | not entailment |
((p&s)&~(~((e|e)))) | (((s&s)&p)>(q|e)) | 1 | 1 | 0 | 0 | entailment |
(~((w|w))>~(((w&p)>~((n>w))))) | (~(((n|q)&s))|(e>(p>(~(w)>q)))) | 1 | 1 | 0 | 0 | entailment |
((p&s)&~(~((e|e)))) | (~(((n|q)&s))|(e>(p>(~(w)>q)))) | 0 | 0 | 0 | 0 | not entailment |
(~((w|w))>~(((w&p)>~((n>w))))) | (((s&s)&p)>(q|e)) | 0 | 1 | 0 | 0 | not entailment |
(~(e)&((w>w)>s)) | (w|s) | 1 | 1 | 1 | 1 | entailment |
((((n|s)|q)&e)&((s>e)>n)) | ((~((n|(s&w)))>n)|~(((s&(s|s))|(w|s)))) | 1 | 0 | 0 | 0 | entailment |
(~(e)&((w>w)>s)) | ((~((n|(s&w)))>n)|~(((s&(s|s))|(w|s)))) | 0 | 0 | 0 | 0 | not entailment |
((((n|s)|q)&e)&((s>e)>n)) | (w|s) | 0 | 1 | 0 | 0 | not entailment |
(n&(((n>((~(n)>q)>s))&w)&(e&(~(w)|s)))) | (w|w) | 1 | 1 | 1 | 1 | entailment |
~(n) | ~((((q>q)|s)&~(((n&(p>w))>(q>p))))) | 1 | 0 | 0 | 0 | entailment |
(n&(((n>((~(n)>q)>s))&w)&(e&(~(w)|s)))) | ~((((q>q)|s)&~(((n&(p>w))>(q>p))))) | 0 | 1 | 0 | 0 | not entailment |
~(n) | (w|w) | 0 | 1 | 0 | 0 | not entailment |
~((((q&w)&w)>~((n|(e&(q|(p&e))))))) | (s>(~(~(n))>((n&w)|(n&(p|e))))) | 1 | 1 | 0 | 0 | entailment |
~((~((q&(s>n)))|((s>e)&q))) | (~((n&(e|n)))>~((~((n&~(w)))|e))) | 1 | 0 | 0 | 0 | entailment |
~((((q&w)&w)>~((n|(e&(q|(p&e))))))) | (~((n&(e|n)))>~((~((n&~(w)))|e))) | 0 | 1 | 1 | 0 | not entailment |
~((~((q&(s>n)))|((s>e)&q))) | (s>(~(~(n))>((n&w)|(n&(p|e))))) | 0 | 0 | 0 | 0 | not entailment |
((e>~(n))&(~((n|s))|~(n))) | ((e>(p|e))&((n>p)|((q>w)&(w|(~(s)&e))))) | 1 | 0 | 0 | 0 | entailment |
((q>((p|e)&(~((s>(q&q)))&p)))&(e&e)) | (p|(q>n)) | 1 | 1 | 0 | 0 | entailment |
((e>~(n))&(~((n|s))|~(n))) | (p|(q>n)) | 0 | 1 | 0 | 0 | not entailment |
((q>((p|e)&(~((s>(q&q)))&p)))&(e&e)) | ((e>(p|e))&((n>p)|((q>w)&(w|(~(s)&e))))) | 0 | 0 | 0 | 0 | not entailment |
(p&((q>~(q))&w)) | (s>((((n|w)&w)>~((w|p)))>(n>e))) | 1 | 0 | 0 | 0 | entailment |
(~(~(((n>s)&q)))&(~((p>p))>~(q))) | (((s>(p&q))|~(~((q>w))))>((p>(n>e))>q)) | 1 | 0 | 0 | 0 | entailment |
(p&((q>~(q))&w)) | (((s>(p&q))|~(~((q>w))))>((p>(n>e))>q)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(((n>s)&q)))&(~((p>p))>~(q))) | (s>((((n|w)&w)>~((w|p)))>(n>e))) | 0 | 1 | 0 | 0 | not entailment |
((e>(q&p))&~((s>(w>(n|e))))) | ((w>~(p))|(s|q)) | 1 | 1 | 1 | 0 | entailment |
(~((n&(s&p)))&(e&e)) | ((((p&q)&n)>e)>((p>q)>(s>(q|e)))) | 1 | 0 | 0 | 0 | entailment |
((e>(q&p))&~((s>(w>(n|e))))) | ((((p&q)&n)>e)>((p>q)>(s>(q|e)))) | 0 | 0 | 1 | 0 | not entailment |
(~((n&(s&p)))&(e&e)) | ((w>~(p))|(s|q)) | 0 | 1 | 0 | 0 | not entailment |
((((s>w)>p)&((n>e)&w))&((p&s)&~((p>q)))) | (w|(~(w)&(w|p))) | 1 | 1 | 1 | 1 | entailment |
(n&(e&e)) | (p>~(~((p&(e|n))))) | 1 | 0 | 0 | 0 | entailment |
((((s>w)>p)&((n>e)&w))&((p&s)&~((p>q)))) | (p>~(~((p&(e|n))))) | 0 | 1 | 1 | 0 | not entailment |
(n&(e&e)) | (w|(~(w)&(w|p))) | 0 | 0 | 0 | 0 | not entailment |
((p&p)|p) | ((~((w&p))&w)>~((q>((w|(~(e)&w))&q)))) | 1 | 0 | 0 | 0 | entailment |
(s&e) | (e|(e|w)) | 1 | 0 | 0 | 0 | entailment |
((p&p)|p) | (e|(e|w)) | 0 | 1 | 0 | 0 | not entailment |
(s&e) | ((~((w&p))&w)>~((q>((w|(~(e)&w))&q)))) | 0 | 0 | 0 | 0 | not entailment |
((w|n)&~((q|~((~(p)>~(~(~(q)))))))) | ~(~((n|w))) | 1 | 1 | 1 | 1 | entailment |
(((~(s)|(w&p))>(~(e)|n))>(e&s)) | (n|e) | 1 | 1 | 1 | 0 | entailment |
((w|n)&~((q|~((~(p)>~(~(~(q)))))))) | (n|e) | 0 | 1 | 0 | 0 | not entailment |
(((~(s)|(w&p))>(~(e)|n))>(e&s)) | ~(~((n|w))) | 0 | 1 | 1 | 0 | not entailment |
(~((((p|s)&((q&q)&n))>q))|((~(w)|s)&n)) | ((n|(w&~(w)))|(p>~((p|(n|s))))) | 1 | 1 | 1 | 0 | entailment |
~(((~(e)|q)>w)) | (w>(~((s|((p&p)|((p|w)>q))))&s)) | 1 | 0 | 0 | 0 | entailment |
(~((((p|s)&((q&q)&n))>q))|((~(w)|s)&n)) | (w>(~((s|((p&p)|((p|w)>q))))&s)) | 0 | 1 | 1 | 0 | not entailment |
~(((~(e)|q)>w)) | ((n|(w&~(w)))|(p>~((p|(n|s))))) | 0 | 0 | 0 | 0 | not entailment |
(n&((~((s>~(~(e))))>((w|s)>n))>(p|s))) | (~((~((s>q))>p))|n) | 1 | 1 | 0 | 0 | entailment |
~((p&p)) | ~(~(~((e&(p&n))))) | 1 | 0 | 0 | 0 | entailment |
(n&((~((s>~(~(e))))>((w|s)>n))>(p|s))) | ~(~(~((e&(p&n))))) | 0 | 1 | 1 | 0 | not entailment |
~((p&p)) | (~((~((s>q))>p))|n) | 0 | 0 | 0 | 0 | not entailment |
~((g|~((s&u)))) | ((g&~((z>h)))>~(((z&g)|((d&g)|h)))) | 1 | 0 | 0 | 0 | entailment |
((o&d)&(~(g)>((((z|u)&f)|o)|i))) | ((f>f)>((u|z)>((f|g)>o))) | 1 | 1 | 1 | 0 | entailment |
~((g|~((s&u)))) | ((f>f)>((u|z)>((f|g)>o))) | 0 | 0 | 0 | 0 | not entailment |
((o&d)&(~(g)>((((z|u)&f)|o)|i))) | ((g&~((z>h)))>~(((z&g)|((d&g)|h)))) | 0 | 0 | 0 | 0 | not entailment |
(((f&i)|(g&f))&(~(i)>j)) | ((f|z)|((z|o)&~((~(i)|f)))) | 1 | 0 | 0 | 0 | entailment |
(g&(h&j)) | ((j&g)|((i>~(s))>j)) | 1 | 0 | 0 | 0 | entailment |
(((f&i)|(g&f))&(~(i)>j)) | ((j&g)|((i>~(s))>j)) | 0 | 1 | 0 | 0 | not entailment |
(g&(h&j)) | ((f|z)|((z|o)&~((~(i)|f)))) | 0 | 0 | 0 | 0 | not entailment |
(~(((i|g)>i))&h) | ((o>~((((~((u>g))|o)>d)|(g|h))))|(u>h)) | 1 | 0 | 0 | 0 | entailment |
(~((f&s))&(o&s)) | ((o|z)&(~((~((f|~(j)))|j))|(d>j))) | 1 | 0 | 0 | 0 | entailment |
(~(((i|g)>i))&h) | ((o|z)&(~((~((f|~(j)))|j))|(d>j))) | 0 | 0 | 0 | 0 | not entailment |
(~((f&s))&(o&s)) | ((o>~((((~((u>g))|o)>d)|(g|h))))|(u>h)) | 0 | 0 | 0 | 0 | not entailment |
(f&(z&h)) | (f|((~((f&g))|(i>u))&((o&z)|d))) | 1 | 0 | 0 | 0 | entailment |
~(i) | ((o&i)>g) | 1 | 0 | 0 | 0 | entailment |
(f&(z&h)) | ((o&i)>g) | 0 | 1 | 0 | 0 | not entailment |
~(i) | (f|((~((f&g))|(i>u))&((o&z)|d))) | 0 | 0 | 0 | 0 | not entailment |
~(((z&u)&(g>(g>(u>(~(g)>j)))))) | ~(((z&u)&(d|(~(j)>(s&i))))) | 1 | 1 | 0 | 0 | entailment |
(((((d&(u|h))>o)&(i&u))|z)&z) | (((~(s)>h)|((d&u)&~(u)))|~(~(z))) | 1 | 0 | 0 | 0 | entailment |
~(((z&u)&(g>(g>(u>(~(g)>j)))))) | (((~(s)>h)|((d&u)&~(u)))|~(~(z))) | 0 | 0 | 0 | 0 | not entailment |
(((((d&(u|h))>o)&(i&u))|z)&z) | ~(((z&u)&(d|(~(j)>(s&i))))) | 0 | 1 | 0 | 0 | not entailment |
((f>(i&(((g|f)&i)&i)))>~((i|(g|o)))) | (((h|g)&(g>f))|(i>z)) | 1 | 1 | 0 | 0 | entailment |
(s&j) | ((s|(d>z))|u) | 1 | 0 | 0 | 0 | entailment |
((f>(i&(((g|f)&i)&i)))>~((i|(g|o)))) | ((s|(d>z))|u) | 0 | 1 | 0 | 0 | not entailment |
(s&j) | (((h|g)&(g>f))|(i>z)) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(i))|z)) | (~(((i&j)&d))|(~(z)|~(d))) | 1 | 0 | 0 | 0 | entailment |
~((((s|d)|~((f&d)))&(j>h))) | (~(i)>~((g&~((i|(h>d)))))) | 1 | 1 | 0 | 0 | entailment |
~((~(~(i))|z)) | (~(i)>~((g&~((i|(h>d)))))) | 0 | 0 | 0 | 0 | not entailment |
~((((s|d)|~((f&d)))&(j>h))) | (~(((i&j)&d))|(~(z)|~(d))) | 0 | 1 | 0 | 0 | not entailment |
~((d|(o&(j&f)))) | ((d>s)|(i&(z&(h&s)))) | 1 | 0 | 0 | 0 | entailment |
(g&~((h>s))) | (f|h) | 1 | 1 | 0 | 0 | entailment |
~((d|(o&(j&f)))) | (f|h) | 0 | 1 | 0 | 0 | not entailment |
(g&~((h>s))) | ((d>s)|(i&(z&(h&s)))) | 0 | 0 | 0 | 0 | not entailment |
~(((f>j)>d)) | (~(f)|~(d)) | 1 | 1 | 1 | 1 | entailment |
~(j) | ~(j) | 1 | 1 | 1 | 1 | entailment |
~(((f>j)>d)) | ~(j) | 0 | 1 | 1 | 0 | not entailment |
~(j) | (~(f)|~(d)) | 0 | 0 | 0 | 0 | not entailment |
(((u|o)&s)&((z&f)>(((d>f)|j)>(f>~(g))))) | (((((z>d)|(i>~(s)))>j)|s)|o) | 1 | 1 | 0 | 0 | entailment |
(o>((f>o)&z)) | ((((i>d)|s)>g)|((~(z)&o)>i)) | 1 | 0 | 0 | 0 | entailment |
(((u|o)&s)&((z&f)>(((d>f)|j)>(f>~(g))))) | ((((i>d)|s)>g)|((~(z)&o)>i)) | 0 | 1 | 0 | 0 | not entailment |
(o>((f>o)&z)) | (((((z>d)|(i>~(s)))>j)|s)|o) | 0 | 0 | 0 | 0 | not entailment |
(~((g>h))&~(i)) | ~(~((((j|h)>((~(~(j))>j)&o))|(h>u)))) | 1 | 0 | 0 | 0 | entailment |
(((s|z)>f)&~(~(g))) | (~(~((~((g>z))&s)))>((z&i)|f)) | 1 | 0 | 0 | 0 | entailment |
(~((g>h))&~(i)) | (~(~((~((g>z))&s)))>((z&i)|f)) | 0 | 0 | 0 | 0 | not entailment |
(((s|z)>f)&~(~(g))) | ~(~((((j|h)>((~(~(j))>j)&o))|(h>u)))) | 0 | 0 | 0 | 0 | not entailment |
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