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
((t&b)&((i|a)>(m&g)))
(t|((a>~(~(b)))|g))
1
1
1
1
entailment
(m&~(~(~((u>x)))))
(~((g>(t&(b&x))))>u)
1
1
0
0
entailment
((t&b)&((i|a)>(m&g)))
(~((g>(t&(b&x))))>u)
0
1
0
0
not entailment
(m&~(~(~((u>x)))))
(t|((a>~(~(b)))|g))
0
1
0
0
not entailment
((u&a)&(b>(u>((m|x)>(b&b)))))
((t|~((m&(i|m))))|((t|(a>i))>((b>i)|g)))
1
0
0
0
entailment
~(((b>u)>((x>b)>x)))
~((x&((x&(t>(((i>m)|i)|(g|b))))&x)))
1
0
0
0
entailment
((u&a)&(b>(u>((m|x)>(b&b)))))
~((x&((x&(t>(((i>m)|i)|(g|b))))&x)))
0
0
0
0
not entailment
~(((b>u)>((x>b)>x)))
((t|~((m&(i|m))))|((t|(a>i))>((b>i)|g)))
0
0
0
0
not entailment
(a&(t&~(((m&u)&~(x)))))
((((x|u)>(u&a))|~((~(i)|~(g))))|a)
1
0
0
0
entailment
(((m>~(((g>a)>b)))|x)|(g&~(x)))
((b>x)|((b&g)|~(((x>m)>(x|m)))))
1
1
1
0
entailment
(a&(t&~(((m&u)&~(x)))))
((b>x)|((b&g)|~(((x>m)>(x|m)))))
0
0
0
0
not entailment
(((m>~(((g>a)>b)))|x)|(g&~(x)))
((((x|u)>(u&a))|~((~(i)|~(g))))|a)
0
0
0
0
not entailment
~(((a|(a&m))|(~((x>u))|(~(b)>g))))
((((u>u)&~(a))&(g|i))>(b>~(b)))
1
1
0
0
entailment
(t&(b&b))
~(~(b))
1
1
1
1
entailment
~(((a|(a&m))|(~((x>u))|(~(b)>g))))
~(~(b))
0
1
1
0
not entailment
(t&(b&b))
((((u>u)&~(a))&(g|i))>(b>~(b)))
0
0
0
0
not entailment
(a&(i|a))
~(~(a))
1
1
1
1
entailment
~((~((b>~((x>t))))>(a|t)))
(b|(b&b))
1
1
1
1
entailment
(a&(i|a))
(b|(b&b))
0
1
0
0
not entailment
~((~((b>~((x>t))))>(a|t)))
~(~(a))
0
1
1
0
not entailment
~(~(((b|(a|x))>(((g>m)>m)&(g>u)))))
((u|x)>(~((u|m))>~(b)))
1
1
1
0
entailment
~((u|t))
~(((m&b)&(~(t)>u)))
1
0
0
0
entailment
~(~(((b|(a|x))>(((g>m)>m)&(g>u)))))
~(((m&b)&(~(t)>u)))
0
1
0
0
not entailment
~((u|t))
((u|x)>(~((u|m))>~(b)))
0
0
0
0
not entailment
(m&(((t|m)|x)|(u>i)))
((t>m)&~((~(~((m>b)))&~(b))))
1
0
0
0
entailment
~((~((t>u))|b))
(~(~(t))>((b|i)>i))
1
0
0
0
entailment
(m&(((t|m)|x)|(u>i)))
(~(~(t))>((b|i)>i))
0
1
0
0
not entailment
~((~((t>u))|b))
((t>m)&~((~(~((m>b)))&~(b))))
0
0
0
0
not entailment
((u&(t>t))&~(((((m|u)&(b&g))&b)|~(t))))
(((g>g)>(m>a))|(~((i&g))|t))
1
1
0
0
entailment
(((x>(((b&u)>x)|m))|(a|t))>~(((u>a)|t)))
(((t&m)&g)>b)
1
1
0
0
entailment
((u&(t>t))&~(((((m|u)&(b&g))&b)|~(t))))
(((t&m)&g)>b)
0
1
1
0
not entailment
(((x>(((b&u)>x)|m))|(a|t))>~(((u>a)|t)))
(((g>g)>(m>a))|(~((i&g))|t))
0
1
0
0
not entailment
~(((a|u)|g))
(u|(~((a>u))>(a&x)))
1
0
0
0
entailment
~((i|(t&((g>u)|(i&m)))))
(((u|a)|g)|((i>(x&m))|g))
1
1
0
0
entailment
~(((a|u)|g))
(((u|a)|g)|((i>(x&m))|g))
0
0
0
0
not entailment
~((i|(t&((g>u)|(i&m)))))
(u|(~((a>u))>(a&x)))
0
1
0
0
not entailment
(~((~(b)|~((i&i))))&(a>u))
(b>((((t&i)|g)&u)|i))
1
1
0
0
entailment
(t&g)
(x>(g|g))
1
0
0
0
entailment
(~((~(b)|~((i&i))))&(a>u))
(x>(g|g))
0
1
0
0
not entailment
(t&g)
(b>((((t&i)|g)&u)|i))
0
0
0
0
not entailment
~(~((((o&u)&y)&(u|o))))
(o|(~((u|u))>(((v|y)|q)&~(q))))
1
0
0
0
entailment
((o|q)>(((v&q)>o)&(o>f)))
((v&(o&v))>f)
1
1
1
1
entailment
~(~((((o&u)&y)&(u|o))))
((v&(o&v))>f)
0
1
0
0
not entailment
((o|q)>(((v&q)>o)&(o>f)))
(o|(~((u|u))>(((v|y)|q)&~(q))))
0
0
0
0
not entailment
~((((~(o)>(f|y))>(v|v))>(u|(q>v))))
(u>q)
1
1
1
1
entailment
~((~(u)|((v&(~(v)|(v|f)))>(f|~(v)))))
(v|y)
1
1
0
0
entailment
~((((~(o)>(f|y))>(v|v))>(u|(q>v))))
(v|y)
0
1
1
0
not entailment
~((~(u)|((v&(~(v)|(v|f)))>(f|~(v)))))
(u>q)
0
1
0
0
not entailment
~(~(v))
(v|((y>u)|(v|~(((f>y)&y)))))
1
0
0
0
entailment
(~(((~((f|f))>o)&~(u)))&y)
(((q&o)|y)|((v&q)&v))
1
1
0
0
entailment
~(~(v))
(((q&o)|y)|((v&q)&v))
0
0
0
0
not entailment
(~(((~((f|f))>o)&~(u)))&y)
(v|((y>u)|(v|~(((f>y)&y)))))
0
1
0
0
not entailment
~(o)
(o>(u&q))
1
0
0
0
entailment
((o&o)|((((f>(y&y))&q)&(q>u))&v))
(~((o>((y|v)|f)))|~(~(((v|o)|(y|q)))))
1
0
1
0
entailment
~(o)
(~((o>((y|v)|f)))|~(~(((v|o)|(y|q)))))
0
0
0
0
not entailment
((o&o)|((((f>(y&y))&q)&(q>u))&v))
(o>(u&q))
0
1
1
0
not entailment
(f>((y&(u&f))&~((q&~(~(y))))))
(y|(y|(f>v)))
1
1
0
0
entailment
(~(((f|u)>((v&y)>v)))|(v|f))
(((y|y)|v)|(y|f))
1
1
1
1
entailment
(f>((y&(u&f))&~((q&~(~(y))))))
(((y|y)|v)|(y|f))
0
1
0
0
not entailment
(~(((f|u)>((v&y)>v)))|(v|f))
(y|(y|(f>v)))
0
1
1
0
not entailment
(((~(o)>~(y))>(~((~(~(u))|q))&y))&u)
(~((v&v))|u)
1
1
0
0
entailment
(~(y)|(o&~((f|(((v&o)&v)|y)))))
(((q&(o>q))|q)>((~((u>(u&f)))>~(y))&q))
1
0
0
0
entailment
(((~(o)>~(y))>(~((~(~(u))|q))&y))&u)
(((q&(o>q))|q)>((~((u>(u&f)))>~(y))&q))
0
1
0
0
not entailment
(~(y)|(o&~((f|(((v&o)&v)|y)))))
(~((v&v))|u)
0
1
0
0
not entailment
~(((~((o>o))|(q>f))|u))
((~(f)|(f|(y>q)))&(q&~(f)))
1
0
0
0
entailment
((((y>v)|y)&u)&(u&q))
((y>~(o))>~((~(u)&~(f))))
1
0
0
0
entailment
~(((~((o>o))|(q>f))|u))
((y>~(o))>~((~(u)&~(f))))
0
0
0
0
not entailment
((((y>v)|y)&u)&(u&q))
((~(f)|(f|(y>q)))&(q&~(f)))
0
0
0
0
not entailment
(~((v>(v&(o|y))))&~(y))
(q|~(o))
1
1
0
0
entailment
~(((v&~(((y|u)>(q&o))))>~(f)))
(~(f)>y)
1
1
1
1
entailment
(~((v>(v&(o|y))))&~(y))
(~(f)>y)
0
1
0
0
not entailment
~(((v&~(((y|u)>(q&o))))>~(f)))
(q|~(o))
0
1
1
0
not entailment
(((y|q)&u)&(q|q))
(f>(u|v))
1
1
0
0
entailment
~((((f&q)>y)>v))
(v>(f&(y|f)))
1
1
1
0
entailment
(((y|q)&u)&(q|q))
(v>(f&(y|f)))
0
1
0
0
not entailment
~((((f&q)>y)>v))
(f>(u|v))
0
1
0
0
not entailment
~((~((o>y))>v))
(((u|(f&y))&u)|((o|o)|u))
1
0
0
0
entailment
(~((((((v|f)>v)&q)|u)|f))&(~((v&q))>y))
((q>(v|f))>(~(f)>(~(y)>y)))
1
1
1
1
entailment
~((~((o>y))>v))
((q>(v|f))>(~(f)>(~(y)>y)))
0
0
0
0
not entailment
(~((((((v|f)>v)&q)|u)|f))&(~((v&q))>y))
(((u|(f&y))&u)|((o|o)|u))
0
1
0
0
not entailment
((o&q)&(y>~(((o>f)&u))))
(u|o)
1
1
1
0
entailment
~((((u|y)>q)>~(v)))
~((~((f|v))&((u&(q&o))>y)))
1
0
0
0
entailment
((o&q)&(y>~(((o>f)&u))))
~((~((f|v))&((u&(q&o))>y)))
0
0
0
0
not entailment
~((((u|y)>q)>~(v)))
(u|o)
0
1
0
0
not entailment
(~(~(o))&~((u&~(~((~(q)|q))))))
(((f&q)|(q|u))>o)
1
1
0
0
entailment
(y&q)
((f&o)|y)
1
0
0
0
entailment
(~(~(o))&~((u&~(~((~(q)|q))))))
((f&o)|y)
0
1
0
0
not entailment
(y&q)
(((f&q)|(q|u))>o)
0
0
0
0
not entailment
~((q>(~(((y|u)>~((y|f))))|(f&v))))
~(~(((q&~(((q|y)&o)))|q)))
1
1
0
0
entailment
((q>q)&~(((y>o)&(y>((f|q)&q)))))
(((q&f)>y)|y)
1
1
1
1
entailment
~((q>(~(((y|u)>~((y|f))))|(f&v))))
(((q&f)>y)|y)
0
1
1
0
not entailment
((q>q)&~(((y>o)&(y>((f|q)&q)))))
~(~(((q&~(((q|y)&o)))|q)))
0
1
1
0
not entailment
(~((((v>v)>~((o>f)))>(u>(o>v))))|~(y))
~(~((((o&(u>u))&y)>u)))
1
1
1
0
entailment
((((f|y)>q)>o)&~(~((v>(f|q)))))
(v>((f&v)|(f|q)))
1
1
1
0
entailment
(~((((v>v)>~((o>f)))>(u>(o>v))))|~(y))
(v>((f&v)|(f|q)))
0
1
0
0
not entailment
((((f|y)>q)>o)&~(~((v>(f|q)))))
~(~((((o&(u>u))&y)>u)))
0
1
0
0
not entailment
((v|y)&(q&u))
(((u|(u|y))&~((f|y)))>~(((v&q)>f)))
1
0
0
0
entailment
((~(~(q))&o)&~(((o&f)&((o>u)>y))))
(f|o)
1
1
1
0
entailment
((v|y)&(q&u))
(f|o)
0
1
0
0
not entailment
((~(~(q))&o)&~(((o&f)&((o>u)>y))))
(((u|(u|y))&~((f|y)))>~(((v&q)>f)))
0
1
0
0
not entailment