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
((c&r)&(~((c&y))|(~(r)&(r>r))))
(((y|(r>r))|((c|y)>y))&~((y&~(r))))
1
0
1
0
entailment
(((~((r|r))>~((y|c)))>(c>(y>y)))>(y&c))
(((y|(r>r))|((c|y)>y))&~((y&~(r))))
0
1
1
0
not entailment
((c&r)&(~((c&y))|(~(r)&(r>r))))
((y|r)&(((c&((c>y)|r))|((y>c)&y))&y))
0
0
1
0
not entailment
~((((r|y)|r)>(y>~(~(~(c))))))
~(~(((c|y)&((y|r)&c))))
1
1
1
1
entailment
~((~((((r>r)>y)|(y&y)))|(r>((y&c)&c))))
((~(r)|((c&c)>((r&c)&c)))&r)
1
1
1
0
entailment
~((((r|y)|r)>(y>~(~(~(c))))))
((~(r)|((c&c)>((r&c)&c)))&r)
0
1
1
0
not entailment
~((~((((r>r)>y)|(y&y)))|(r>((y&c)&c))))
~(~(((c|y)&((y|r)&c))))
0
1
1
0
not entailment
(y&r)
(y&(~((r|c))|(y>y)))
1
0
0
0
entailment
(c&(c>c))
((c|((~(y)>r)&y))&(c&(((r|c)|c)>(c|r))))
1
0
0
0
entailment
(y&r)
((c|((~(y)>r)&y))&(c&(((r|c)|c)>(c|r))))
0
0
0
0
not entailment
(c&(c>c))
(y&(~((r|c))|(y>y)))
0
0
0
0
not entailment
((((c&r)&y)&(c&(r>(c>r))))&r)
((y|r)|~((y>(c>c))))
1
1
1
1
entailment
~((c|r))
~((~(~((~(c)|(~(r)>(c|r)))))&c))
1
0
1
0
entailment
((((c&r)&y)&(c&(r>(c>r))))&r)
~((~(~((~(c)|(~(r)>(c|r)))))&c))
0
0
1
1
not entailment
~((c|r))
((y|r)|~((y>(c>c))))
0
0
0
0
not entailment
(((t&t)>t)>f)
(((t|t)&(f>(f>f)))>f)
1
0
1
0
entailment
~((((f|t)|(t&f))>~((t|(f>t)))))
((t|(t>f))&(t|(t&t)))
1
1
1
0
entailment
(((t&t)>t)>f)
((t|(t>f))&(t|(t&t)))
0
0
1
1
not entailment
~((((f|t)|(t&f))>~((t|(f>t)))))
(((t|t)&(f>(f>f)))>f)
0
1
1
0
not entailment
(f|f)
((f>~((f&(t|~(f)))))>(f|(f&(f|t))))
1
0
0
0
entailment
((t&t)|t)
((f&t)|t)
1
1
0
0
entailment
(f|f)
((f&t)|t)
0
0
0
0
not entailment
((t&t)|t)
((f>~((f&(t|~(f)))))>(f|(f&(f|t))))
0
0
0
0
not entailment
((~(t)|t)&(f&(((t&f)>f)|f)))
(t>(((t|t)&f)&(~((~((t|f))>(t|f)))|t)))
1
0
1
1
entailment
(((t|(t|t))|(f&t))&((t|t)&t))
~(~((t&t)))
1
1
1
1
entailment
((~(t)|t)&(f&(((t&f)>f)|f)))
~(~((t&t)))
0
1
1
1
not entailment
(((t|(t|t))|(f&t))&((t|t)&t))
(t>(((t|t)&f)&(~((~((t|f))>(t|f)))|t)))
0
0
1
0
not entailment
(((f&t)>(f&t))>((t&f)&(t&t)))
(((~(((t>f)&f))>t)|t)|(f&((f&f)&~(f))))
1
0
1
1
entailment
(((t>t)>~((f&t)))&~((f|(f|t))))
~(f)
1
1
1
1
entailment
(((f&t)>(f&t))>((t&f)&(t&t)))
~(f)
0
1
1
1
not entailment
(((t>t)>~((f&t)))&~((f|(f|t))))
(((~(((t>f)&f))>t)|t)|(f&((f&f)&~(f))))
0
0
1
0
not entailment
(t&f)
(((((f&t)|f)|(t&(t|(f|f))))>f)&(t|f))
1
0
1
0
entailment
~(((t>~(t))|(f|f)))
~(f)
1
1
1
1
entailment
(t&f)
~(f)
0
1
1
0
not entailment
~(((t>~(t))|(f|f)))
(((((f&t)|f)|(t&(t|(f|f))))>f)&(t|f))
0
0
1
0
not entailment
(((~(~((s|d)))&g)&((s&w)&b))&(f>(d>l)))
(((l>d)&w)|(f|(w|g)))
1
1
1
0
entailment
~(((w>(~(w)&(w&(g>b))))>s))
(((b&(((l>~(g))>d)|(b&d)))&(s>d))|(w>f))
1
0
0
0
entailment
(((~(~((s|d)))&g)&((s&w)&b))&(f>(d>l)))
(((b&(((l>~(g))>d)|(b&d)))&(s>d))|(w>f))
0
1
1
0
not entailment
~(((w>(~(w)&(w&(g>b))))>s))
(((l>d)&w)|(f|(w|g)))
0
1
0
0
not entailment
((w|~(~((s|(d>~(w))))))&(w>~((g|w))))
((l|(s>b))|(d>(((d>w)&d)>f)))
1
1
0
0
entailment
((g&w)&(((l>b)|(w>l))|l))
((w|~(~(d)))|(w|((l>(w&d))>(l|g))))
1
0
0
0
entailment
((w|~(~((s|(d>~(w))))))&(w>~((g|w))))
((w|~(~(d)))|(w|((l>(w&d))>(l|g))))
0
1
0
0
not entailment
((g&w)&(((l>b)|(w>l))|l))
((l|(s>b))|(d>(((d>w)&d)>f)))
0
0
0
0
not entailment
~((~(~((l|f)))>(g>d)))
((d>w)|((f>b)&(l|(g>g))))
1
1
0
0
entailment
~((g>(s&w)))
((b&s)>~((w&b)))
1
0
0
0
entailment
~((~(~((l|f)))>(g>d)))
((b&s)>~((w&b)))
0
1
0
0
not entailment
~((g>(s&w)))
((d>w)|((f>b)&(l|(g>g))))
0
0
0
0
not entailment
((((w>g)&f)>((g&d)>l))&((s&(w&(w&l)))&l))
((s|(l>g))|g)
1
1
1
0
entailment
~(((s|f)>(f>((f>w)|s))))
((f>l)>((f&w)>(d|d)))
1
1
0
0
entailment
((((w>g)&f)>((g&d)>l))&((s&(w&(w&l)))&l))
((f>l)>((f&w)>(d|d)))
0
1
1
0
not entailment
~(((s|f)>(f>((f>w)|s))))
((s|(l>g))|g)
0
1
0
0
not entailment
(b>(w&g))
(((l|g)|s)>(g|(~((d>(b>w)))>~(d))))
1
0
0
0
entailment
~((~(f)|~(b)))
(b|(((d|g)>s)>((s|~(b))>((l&g)&f))))
1
0
0
0
entailment
(b>(w&g))
(b|(((d|g)>s)>((s|~(b))>((l&g)&f))))
0
0
0
0
not entailment
~((~(f)|~(b)))
(((l|g)|s)>(g|(~((d>(b>w)))>~(d))))
0
0
0
0
not entailment
~(f)
~((((s&l)&f)&s))
1
0
0
0
entailment
(~((s>((b>w)&(f>b))))&d)
(((w&b)|(g&w))|(g>((s&w)|((s>w)>b))))
1
0
0
0
entailment
~(f)
(((w&b)|(g&w))|(g>((s&w)|((s>w)>b))))
0
0
0
0
not entailment
(~((s>((b>w)&(f>b))))&d)
~((((s&l)&f)&s))
0
1
0
0
not entailment
~((~(s)>(g|(((d>d)&~(w))|~(f)))))
((s&~(d))>((~(~((g|l)))|l)|(f|g)))
1
1
0
0
entailment
(((g>l)>b)&(~((~(l)|(g>g)))>~(g)))
((d>b)|((~(b)|~(~(~(w))))>(g|~(f))))
1
0
0
0
entailment
~((~(s)>(g|(((d>d)&~(w))|~(f)))))
((d>b)|((~(b)|~(~(~(w))))>(g|~(f))))
0
0
0
0
not entailment
(((g>l)>b)&(~((~(l)|(g>g)))>~(g)))
((s&~(d))>((~(~((g|l)))|l)|(f|g)))
0
1
0
0
not entailment
((f>l)&b)
((~(~(g))>(f|w))|b)
1
0
0
0
entailment
~(~(~(~(((s>d)>(~((b|g))|w))))))
((d&(~(w)&f))>~((((s&g)>w)>w)))
1
1
0
0
entailment
((f>l)&b)
((d&(~(w)&f))>~((((s&g)>w)>w)))
0
0
0
0
not entailment
~(~(~(~(((s>d)>(~((b|g))|w))))))
((~(~(g))>(f|w))|b)
0
1
0
0
not entailment
((d>(~(~(f))>b))&~((l|g)))
(~(((b>s)>(((w|w)|(d|(g&d)))|~(g))))>w)
1
0
0
0
entailment
(((g|d)&(~(g)>w))&b)
(w|((w>(l>(g|d)))&((f>~(l))>g)))
1
0
0
0
entailment
((d>(~(~(f))>b))&~((l|g)))
(w|((w>(l>(g|d)))&((f>~(l))>g)))
0
0
0
0
not entailment
(((g|d)&(~(g)>w))&b)
(~(((b>s)>(((w|w)|(d|(g&d)))|~(g))))>w)
0
0
0
0
not entailment
(~(w)&~((l>(w&((g>w)>~(d))))))
((((w|d)>f)>d)>l)
1
1
0
0
entailment
(((f>s)|((s>f)>b))&w)
(w|s)
1
1
1
1
entailment
(~(w)&~((l>(w&((g>w)>~(d))))))
(w|s)
0
1
0
0
not entailment
(((f>s)|((s>f)>b))&w)
((((w|d)>f)>d)>l)
0
1
0
0
not entailment
((s&d)&l)
(w>(l&(f|~(((s>s)&f)))))
1
0
0
0
entailment
(d>(f&(g&f)))
((d>f)|((s&w)|(((s>b)|w)&s)))
1
0
0
0
entailment
((s&d)&l)
((d>f)|((s&w)|(((s>b)|w)&s)))
0
0
0
0
not entailment
(d>(f&(g&f)))
(w>(l&(f|~(((s>s)&f)))))
0
0
0
0
not entailment
~((((l&~(((l>l)>(s>s))))&f)|(~(g)|s)))
((s&(~((g&s))>((f|d)|~(g))))>g)
1
1
0
0
entailment
~(((((b&b)|((f&f)&w))>(s&(b&f)))|d))
~((g&(w&d)))
1
1
0
0
entailment
~((((l&~(((l>l)>(s>s))))&f)|(~(g)|s)))
~((g&(w&d)))
0
1
0
0
not entailment
~(((((b&b)|((f&f)&w))>(s&(b&f)))|d))
((s&(~((g&s))>((f|d)|~(g))))>g)
0
1
0
0
not entailment
~((l>((f&~(w))>b)))
(f|g)
1
1
0
0
entailment
(b&(b&d))
((d|((l&w)|l))&(b&(~(f)|(f|g))))
1
0
0
0
entailment
~((l>((f&~(w))>b)))
((d|((l&w)|l))&(b&(~(f)|(f|g))))
0
0
0
0
not entailment
(b&(b&d))
(f|g)
0
1
0
0
not entailment
(((s|~(d))>b)&g)
((~((l&((w|(s&f))>b)))|(w|g))|f)
1
0
0
0
entailment
((l|((~(~(d))>b)|(b>w)))>(~(~(d))&s))
((f>s)&((g>d)|f))
1
1
0
0
entailment
(((s|~(d))>b)&g)
((f>s)&((g>d)|f))
0
1
0
0
not entailment
((l|((~(~(d))>b)|(b>w)))>(~(~(d))&s))
((~((l&((w|(s&f))>b)))|(w|g))|f)
0
1
0
0
not entailment
(l&(~(~(((b&s)|d)))&s))
(~(((w|l)&g))>l)
1
1
0
0
entailment
((l|w)>(b&~((w|g))))
(~(((~((f&l))|(f&s))>(l>b)))>f)
1
0
0
0
entailment
(l&(~(~(((b&s)|d)))&s))
(~(((~((f&l))|(f&s))>(l>b)))>f)
0
0
0
0
not entailment
((l|w)>(b&~((w|g))))
(~(((w|l)&g))>l)
0
1
1
0
not entailment
(s&(g&f))
(((l|(~(b)|g))|s)|d)
1
0
0
0
entailment
(~(d)&(l>f))
(~((d&w))&(((l|l)>(s&b))|(f&l)))
1
0
0
0
entailment
(s&(g&f))
(~((d&w))&(((l|l)>(s&b))|(f&l)))
0
0
0
0
not entailment
(~(d)&(l>f))
(((l|(~(b)|g))|s)|d)
0
0
0
0
not entailment
((b&(((w&w)|(s&f))|w))&(w>g))
(l>(g|f))
1
1
0
0
entailment