Datasets:
tasksource
/
logical-entailment

Dataset card Data Studio Files
xet
Community
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
~(((a|o)>(i>~(a))))
((~((d>d))>l)&(~(~(~(y)))|((g>s)|a)))
1
0
0
0
entailment
((~(l)>~((d|y)))&(d>~(d)))
((~((d>d))>l)&(~(~(~(y)))|((g>s)|a)))
0
0
0
0
not entailment
~(((a|o)>(i>~(a))))
((d&s)>((g&d)&(g>a)))
0
1
0
0
not entailment
~((g|s))
~((s&y))
1
1
0
0
entailment
(((((a&g)>o)|y)&o)&(((s&(d&f))>(d&y))&d))
(~((g>d))|(g|o))
1
1
1
0
entailment
~((g|s))
(~((g>d))|(g|o))
0
0
0
0
not entailment
(((((a&g)>o)|y)&o)&(((s&(d&f))>(d&y))&d))
~((s&y))
0
1
1
0
not entailment
(o&(i&y))
((((l>d)&a)>s)|(((g&(o>(y>s)))&~(o))>s))
1
0
0
0
entailment
~(o)
(~(o)|~(~(((y&l)>g))))
1
0
0
0
entailment
(o&(i&y))
(~(o)|~(~(((y&l)>g))))
0
0
0
0
not entailment
~(o)
((((l>d)&a)>s)|(((g&(o>(y>s)))&~(o))>s))
0
0
0
0
not entailment
(~(a)&i)
(y>((~(o)|o)&((g|i)>i)))
1
0
0
0
entailment
~(~(~(((o|(s|i))>~((g&(l&d)))))))
(i>((((g|g)>(d|s))&y)|(y>(o&i))))
1
1
0
0
entailment
(~(a)&i)
(i>((((g|g)>(d|s))&y)|(y>(o&i))))
0
0
0
0
not entailment
~(~(~(((o|(s|i))>~((g&(l&d)))))))
(y>((~(o)|o)&((g|i)>i)))
0
1
0
0
not entailment
(~(~(~((o|d))))&(a&((f|l)>l)))
~(~(((d&y)>(~(~(~(i)))>(l|(s>i))))))
1
0
0
0
entailment
(((~(~(f))>~(l))>f)&d)
((~((o|d))&i)|((l>(y|o))|f))
1
0
0
0
entailment
(~(~(~((o|d))))&(a&((f|l)>l)))
((~((o|d))&i)|((l>(y|o))|f))
0
1
0
0
not entailment
(((~(~(f))>~(l))>f)&d)
~(~(((d&y)>(~(~(~(i)))>(l|(s>i))))))
0
0
0
0
not entailment
(~(((y>i)&i))&(~((d|(d>d)))|((d|a)|y)))
(~((g&i))|~((~((l&a))&(o&g))))
1
1
0
0
entailment
(((i&~(a))&l)&~(~(g)))
(~(~(o))>~(a))
1
1
0
0
entailment
(~(((y>i)&i))&(~((d|(d>d)))|((d|a)|y)))
(~(~(o))>~(a))
0
1
0
0
not entailment
(((i&~(a))&l)&~(~(g)))
(~((g&i))|~((~((l&a))&(o&g))))
0
0
0
0
not entailment
~((g|(((f|d)&d)|~((i&y)))))
~((i&~((y|(g&i)))))
1
1
1
0
entailment
(f&((i|g)&(d|a)))
(s|((~(i)|l)|(~(f)>(d|(y>(i>a))))))
1
0
0
0
entailment
~((g|(((f|d)&d)|~((i&y)))))
(s|((~(i)|l)|(~(f)>(d|(y>(i>a))))))
0
0
0
0
not entailment
(f&((i|g)&(d|a)))
~((i&~((y|(g&i)))))
0
0
0
0
not entailment
~(((y&o)>~((o>i))))
(a>((i|l)|(((l|g)>(g&i))>o)))
1
0
0
0
entailment
(~((f>d))&(g>~(y)))
(((s&s)&o)|~(d))
1
1
0
0
entailment
~(((y&o)>~((o>i))))
(((s&s)&o)|~(d))
0
1
0
0
not entailment
(~((f>d))&(g>~(y)))
(a>((i|l)|(((l|g)>(g&i))>o)))
0
0
0
0
not entailment
((y&~(~(~((a|f)))))&y)
(((l|((y|a)&(l>a)))|i)|i)
1
1
0
0
entailment
(((a&y)|f)&(g&(y>i)))
((~(g)>o)|(~(((a>d)|i))&(l&g)))
1
0
0
0
entailment
((y&~(~(~((a|f)))))&y)
((~(g)>o)|(~(((a>d)|i))&(l&g)))
0
0
0
0
not entailment
(((a&y)|f)&(g&(y>i)))
(((l|((y|a)&(l>a)))|i)|i)
0
0
0
0
not entailment
~((~(~((f|a)))>(f>(y>(d&l)))))
(((f&i)&((i&d)|(d>o)))>y)
1
1
0
0
entailment
~(g)
(((y>o)>(f&~(d)))>(~(g)|~((d>(a>s)))))
1
0
0
0
entailment
~((~(~((f|a)))>(f>(y>(d&l)))))
(((y>o)>(f&~(d)))>(~(g)|~((d>(a>s)))))
0
0
0
0
not entailment
~(g)
(((f&i)&((i&d)|(d>o)))>y)
0
0
0
0
not entailment
((i|o)&(((y|a)&~(a))&d))
(d|(d|f))
1
1
0
0
entailment
~(((g|o)|g))
(g>~(((l&(a>l))|(((y|a)&a)|(y>y)))))
1
0
0
0
entailment
((i|o)&(((y|a)&~(a))&d))
(g>~(((l&(a>l))|(((y|a)&a)|(y>y)))))
0
0
0
0
not entailment
~(((g|o)|g))
(d|(d|f))
0
1
0
0
not entailment
~(~((~(((i&f)>~(d)))&((g>i)>(i&o)))))
(f&i)
1
1
1
1
entailment
~((((f>f)&d)>((~(a)>o)|~((~(s)|o)))))
~((f&((l>g)&(d&(a|((i|((y|d)|a))&o))))))
1
1
0
0
entailment
~(~((~(((i&f)>~(d)))&((g>i)>(i&o)))))
~((f&((l>g)&(d&(a|((i|((y|d)|a))&o))))))
0
1
0
0
not entailment
~((((f>f)&d)>((~(a)>o)|~((~(s)|o)))))
(f&i)
0
1
0
0
not entailment
(a&((o|y)&d))
((y|~((~(s)&a)))>(a|i))
1
0
0
0
entailment
((((i|g)|y)&(s&s))&(g>~(l)))
(((o>f)>(y&o))|(((a>s)&s)|y))
1
1
0
0
entailment
(a&((o|y)&d))
(((o>f)>(y&o))|(((a>s)&s)|y))
0
0
0
0
not entailment
((((i|g)|y)&(s&s))&(g>~(l)))
((y|~((~(s)&a)))>(a|i))
0
1
0
0
not entailment
~((a>(((d|y)&~(o))>d)))
(f|((d&l)>(y&((d|i)>d))))
1
1
0
0
entailment
(a&s)
(((s&i)&~(y))|(a&s))
1
0
0
0
entailment
~((a>(((d|y)&~(o))>d)))
(((s&i)&~(y))|(a&s))
0
1
0
0
not entailment
(a&s)
(f|((d&l)>(y&((d|i)>d))))
0
0
0
0
not entailment
(a&~(((~((a&d))|a)&(f|g))))
(f>((l&g)>(((s|a)&~((~(y)&g)))&~(o))))
1
0
0
0
entailment
~(~(i))
(i|~(~((l|l))))
1
0
0
0
entailment
(a&~(((~((a&d))|a)&(f|g))))
(i|~(~((l|l))))
0
1
0
0
not entailment
~(~(i))
(f>((l&g)>(((s|a)&~((~(y)&g)))&~(o))))
0
0
0
0
not entailment
(((f|z)&~((f|(p>v))))&~(~(a)))
(p&p)
1
1
1
1
entailment
~((a|b))
((v&(((l|f)>f)|f))|(a>f))
1
0
0
0
entailment
(((f|z)&~((f|(p>v))))&~(~(a)))
((v&(((l|f)>f)|f))|(a>f))
0
1
0
0
not entailment
~((a|b))
(p&p)
0
1
0
0
not entailment
~((a|~(((l>b)&(a|l)))))
((((z|f)&t)&((a|a)|p))>~(~((z|l))))
1
0
0
0
entailment
((v>(f>b))>f)
(f|(a&((a>b)>z)))
1
0
0
0
entailment
~((a|~(((l>b)&(a|l)))))
(f|(a&((a>b)>z)))
0
1
0
0
not entailment
((v>(f>b))>f)
((((z|f)&t)&((a|a)|p))>~(~((z|l))))
0
0
0
0
not entailment
((z&p)&(f|~(((a|(z|a))|t))))
((v|p)>p)
1
1
0
0
entailment
(l>a)
((z&b)>(~(~((a|((l>a)&(z|v)))))|v))
1
0
0
0
entailment
((z&p)&(f|~(((a|(z|a))|t))))
((z&b)>(~(~((a|((l>a)&(z|v)))))|v))
0
0
0
0
not entailment
(l>a)
((v|p)>p)
0
0
0
0
not entailment
(((t&p)&v)&(z&p))
((f&b)>(z&t))
1
1
0
0
entailment
(~((((f>p)>v)&b))&f)
(t>f)
1
1
0
0
entailment
(((t&p)&v)&(z&p))
(t>f)
0
1
0
0
not entailment
(~((((f>p)>v)&b))&f)
((f&b)>(z&t))
0
1
0
0
not entailment
(p&(a|a))
(p&(~(~((t|a)))|(~(~(t))>p)))
1
0
0
0
entailment
((~(t)|~((p>(p|(b&(a>a))))))&(f|v))
((p>~((~(f)>z)))>(~(t)|(b>l)))
1
1
0
0
entailment
(p&(a|a))
((p>~((~(f)>z)))>(~(t)|(b>l)))
0
0
0
0
not entailment
((~(t)|~((p>(p|(b&(a>a))))))&(f|v))
(p&(~(~((t|a)))|(~(~(t))>p)))
0
1
1
0
not entailment
((l&t)&((l|(b>t))&(v&((v>v)|f))))
((a|t)|((a|p)&b))
1
1
0
0
entailment
((f>~(~((z&(f&f)))))&~(~(f)))
(z>(f|a))
1
1
0
0
entailment
((l&t)&((l|(b>t))&(v&((v>v)|f))))
(z>(f|a))
0
1
0
0
not entailment
((f>~(~((z&(f&f)))))&~(~(f)))
((a|t)|((a|p)&b))
0
1
0
0
not entailment
(((((z&v)&a)|z)|l)>(t&~(a)))
~(~((z>(~(((z|p)&(a&z)))|(~(l)>f)))))
1
0
0
0
entailment
~((v>l))
(~((f>v))>~(l))
1
0
0
0
entailment
(((((z&v)&a)|z)|l)>(t&~(a)))
(~((f>v))>~(l))
0
1
0
0
not entailment
~((v>l))
~(~((z>(~(((z|p)&(a&z)))|(~(l)>f)))))
0
0
0
0
not entailment
(~((v&f))>f)
(f&f)
1
1
1
1
entailment
(l&(p|(~(p)&(v|v))))
(~((l|l))>(p&(p>a)))
1
1
0
0
entailment
(~((v&f))>f)
(~((l|l))>(p&(p>a)))
0
0
0
0
not entailment
(l&(p|(~(p)&(v|v))))
(f&f)
0
1
0
0
not entailment
((~(l)>t)&t)
((~(f)&~(((f>z)>b)))|t)
1
0
0
0
entailment
~((a|(~(~((v&f)))>(((b>a)>p)|z))))
((f|~((a|f)))|l)
1
1
0
0
entailment
((~(l)>t)&t)
((f|~((a|f)))|l)
0
0
0
0
not entailment
~((a|(~(~((v&f)))>(((b>a)>p)|z))))
((~(f)&~(((f>z)>b)))|t)
0
1
0
0
not entailment
(t&((p>l)|a))
((t|f)|(((a&a)|p)|l))
1
0
0
0
entailment
((l>((f&b)>a))>b)
~(~(b))
1
1
1
1
entailment
(t&((p>l)|a))
~(~(b))
0
1
0
0
not entailment
((l>((f&b)>a))>b)
((t|f)|(((a&a)|p)|l))
0
0
0
0
not entailment
(t&((l&(b&a))&b))
(z|a)
1
1
0
0
entailment