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
~((r|~((y|(v|(y&r))))))
(((~(g)|c)|(~(r)|(g&u)))|~(~(y)))
1
0
0
0
entailment
(~(((~(s)|u)&(g>c)))|(v&v))
(((~(g)|c)|(~(r)|(g&u)))|~(~(y)))
0
0
0
0
not entailment
~((r|~((y|(v|(y&r))))))
((~(g)>~(~(v)))|~(~(((v|s)&(v>u)))))
0
0
0
0
not entailment
~((~((((y|(d|r))>v)&c))>~((r&y))))
(y|~(o))
1
1
0
0
entailment
(u&(g&o))
(((u|g)&~((((u&~(y))&(~(s)|s))|o)))|u)
1
0
0
0
entailment
~((~((((y|(d|r))>v)&c))>~((r&y))))
(((u|g)&~((((u&~(y))&(~(s)|s))|o)))|u)
0
0
0
0
not entailment
(u&(g&o))
(y|~(o))
0
1
0
0
not entailment
~(~(((s&g)&y)))
((a>y)|((d|y)>(~((d&~(y)))&(g|g))))
1
0
0
0
entailment
((g&~((a>y)))&(s>y))
(~((y>~(d)))>~(~(~((s|s)))))
1
0
0
0
entailment
~(~(((s&g)&y)))
(~((y>~(d)))>~(~(~((s|s)))))
0
0
0
0
not entailment
((g&~((a>y)))&(s>y))
((a>y)|((d|y)>(~((d&~(y)))&(g|g))))
0
0
0
0
not entailment
(s&y)
~(~(((a|a)>y)))
1
0
0
0
entailment
((a|a)&(g>d))
(a|(s>a))
1
1
0
0
entailment
(s&y)
(a|(s>a))
0
0
0
0
not entailment
((a|a)&(g>d))
~(~(((a|a)>y)))
0
0
0
0
not entailment
~(~(((~(d)|a)&~((g|g)))))
~(((~(((g>(y|s))&d))&~((s>y)))&(g|g)))
1
0
0
0
entailment
(s&(g|y))
(((a>~(s))>g)|s)
1
0
0
0
entailment
~(~(((~(d)|a)&~((g|g)))))
(((a>~(s))>g)|s)
0
1
0
0
not entailment
(s&(g|y))
~(((~(((g>(y|s))&d))&~((s>y)))&(g|g)))
0
0
0
0
not entailment
((d&((s>~(s))&d))&a)
((d|g)>a)
1
1
0
0
entailment
(((a>((a&g)&s))&((s>d)>g))&(~((s>a))&d))
((g>g)>g)
1
1
1
0
entailment
((d&((s>~(s))&d))&a)
((g>g)>g)
0
1
0
0
not entailment
(((a>((a&g)&s))&((s>d)>g))&(~((s>a))&d))
((d|g)>a)
0
1
1
0
not entailment
((g&s)&(g>((d>g)&d)))
(~(((a>d)>d))>(~(y)|s))
1
0
0
0
entailment
~(((s&g)|(~((s&(a&d)))>g)))
((a&g)>(~((d>~(((s|s)>y))))&(a&s)))
1
0
0
0
entailment
((g&s)&(g>((d>g)&d)))
((a&g)>(~((d>~(((s|s)>y))))&(a&s)))
0
0
0
0
not entailment
~(((s&g)|(~((s&(a&d)))>g)))
(~(((a>d)>d))>(~(y)|s))
0
1
0
0
not entailment
(~(g)&(s&~((a|y))))
~(~(((((d|s)&(g|d))&(s|(a|y)))|(a>g))))
1
0
0
0
entailment
(~(g)&(s&~((a|y))))
(d>g)
0
1
0
0
not entailment
~(d)
~(~(((((d|s)&(g|d))&(s|(a|y)))|(a>g))))
0
0
0
0
not entailment
((((s&~((d>a)))&g)|s)&(a>~(g)))
((((g|s)|y)|~((d>a)))&(((a&s)|g)>s))
1
0
0
0
entailment
~(((d|a)|~(((d|(~(s)|(s|s)))|(y&s)))))
~((((a>y)|(y&g))>(d&a)))
1
1
0
0
entailment
((((s&~((d>a)))&g)|s)&(a>~(g)))
~((((a>y)|(y&g))>(d&a)))
0
1
0
0
not entailment
~(((d|a)|~(((d|(~(s)|(s|s)))|(y&s)))))
((((g|s)|y)|~((d>a)))&(((a&s)|g)>s))
0
1
0
0
not entailment
(((a&g)&(y>d))&(d|~(((g&a)|y))))
((y|(d>d))&((s|s)|(a|s)))
1
1
0
0
entailment
(((d>a)>(d|a))>~((a>y)))
~(~(~(((s|y)&((d|a)&(a&(y&g)))))))
1
0
0
0
entailment
(((a&g)&(y>d))&(d|~(((g&a)|y))))
~(~(~(((s|y)&((d|a)&(a&(y&g)))))))
0
0
0
0
not entailment
(((d>a)>(d|a))>~((a>y)))
((y|(d>d))&((s|s)|(a|s)))
0
1
0
0
not entailment
((a|y)&(~((y>g))>~(a)))
((((d&((a>d)|s))>(a>d))>~((g|(d>y))))>a)
1
0
0
0
entailment
(((g|(d>g))>g)&d)
(d|y)
1
1
0
0
entailment
((a|y)&(~((y>g))>~(a)))
(d|y)
0
1
0
0
not entailment
(((g|(d>g))>g)&d)
((((d&((a>d)|s))>(a>d))>~((g|(d>y))))>a)
0
0
0
0
not entailment
(((a>a)|s)>~((((y&d)&y)|(y>s))))
(((~((g&(y&d)))|g)>(d&(s>a)))|(s>(y|d)))
1
0
0
0
entailment
~((~(s)|(((y|g)&s)|a)))
(~(g)|~(~(((d|d)&(g&(y>d))))))
1
0
0
0
entailment
(((a>a)|s)>~((((y&d)&y)|(y>s))))
(~(g)|~(~(((d|d)&(g&(y>d))))))
0
1
0
0
not entailment
~((~(s)|(((y|g)&s)|a)))
(((~((g&(y&d)))|g)>(d&(s>a)))|(s>(y|d)))
0
0
0
0
not entailment
(a&d)
(d&(a|~(~(~((g|d))))))
1
0
0
0
entailment
(y|((~(s)&a)|y))
~((s&(~(y)&d)))
1
1
0
0
entailment
(a&d)
~((s&(~(y)&d)))
0
0
0
0
not entailment
(y|((~(s)&a)|y))
(d&(a|~(~(~((g|d))))))
0
0
0
0
not entailment
(a|~(((((y>s)>g)&a)>((~(y)>d)&y))))
((a&(a|s))|((a|((g|d)&a))&g))
1
1
1
0
entailment
(g>~((y>(g&(d|g)))))
((~(s)>~(s))>~((s&g)))
1
0
0
0
entailment
(a|~(((((y>s)>g)&a)>((~(y)>d)&y))))
((~(s)>~(s))>~((s&g)))
0
1
1
0
not entailment
(g>~((y>(g&(d|g)))))
((a&(a|s))|((a|((g|d)&a))&g))
0
0
0
0
not entailment
((((g|y)|((a>y)|g))>a)&~(y))
(a|~(s))
1
1
0
0
entailment
(y&d)
~((g&~((d|(d|s)))))
1
0
0
0
entailment
((((g|y)|((a>y)|g))>a)&~(y))
~((g&~((d|(d|s)))))
0
1
0
0
not entailment
(y&d)
(a|~(s))
0
0
0
0
not entailment
((d>y)&(((g|g)|~((s&y)))&(s|s)))
((d|(d>(g&a)))>(s|((s&~(a))|a)))
1
1
0
0
entailment
~((d>~(d)))
(y|d)
1
1
0
0
entailment
((d>y)&(((g|g)|~((s&y)))&(s|s)))
(y|d)
0
1
1
0
not entailment
~((d>~(d)))
((d|(d>(g&a)))>(s|((s&~(a))|a)))
0
0
0
0
not entailment
~(((~(((s>(g|g))&(g>~(g))))>(d&d))|y))
((a|(g&g))|s)
1
1
0
0
entailment
(y&(d|s))
(a|y)
1
1
0
0
entailment
~(((~(((s>(g|g))&(g>~(g))))>(d&d))|y))
(a|y)
0
1
0
0
not entailment
(y&(d|s))
((a|(g&g))|s)
0
0
0
0
not entailment
((((~(s)|g)&s)>g)&~((~((y|d))>(g|s))))
((((g&d)&(~(y)>(~(d)&~(a))))>s)>~(y))
1
1
0
0
entailment
((a&a)&~(~((s|s))))
(s|a)
1
1
1
1
entailment
((((~(s)|g)&s)>g)&~((~((y|d))>(g|s))))
(s|a)
0
1
0
0
not entailment
((a&a)&~(~((s|s))))
((((g&d)&(~(y)>(~(d)&~(a))))>s)>~(y))
0
0
0
0
not entailment
~(((((g&g)>g)>(g>y))|(s&(((y|y)&y)>a))))
((((y&y)&~(g))>a)>((~(d)&s)>(g|y)))
1
1
0
0
entailment
(s&(~(~(s))>((g>(d&g))|(g|(a|a)))))
((((s|y)&(d&a))|y)|(a|s))
1
1
0
0
entailment
~(((((g&g)>g)>(g>y))|(s&(((y|y)&y)>a))))
((((s|y)&(d&a))|y)|(a|s))
0
1
0
0
not entailment
(s&(~(~(s))>((g>(d&g))|(g|(a|a)))))
((((y&y)&~(g))>a)>((~(d)&s)>(g|y)))
0
1
0
0
not entailment
(~(~(~((a&(~((s&a))>(a&~(d)))))))&a)
(d>(~(s)|a))
1
1
1
0
entailment
(((~((y>d))&(d>d))>(a|(~(y)&d)))>~(g))
(~(y)>(g>~(g)))
1
1
1
1
entailment
(~(~(~((a&(~((s&a))>(a&~(d)))))))&a)
(~(y)>(g>~(g)))
0
1
0
0
not entailment
(((~((y>d))&(d>d))>(a|(~(y)&d)))>~(g))
(d>(~(s)|a))
0
1
0
0
not entailment
~(~(((s>a)&((g>g)&a))))
(~((~((a>(s&(y|d))))|a))>~((a>g)))
1
0
0
0
entailment
(g&~((g>~(~(~(s))))))
(y|s)
1
1
0
0
entailment
~(~(((s>a)&((g>g)&a))))
(y|s)
0
1
0
0
not entailment
(g&~((g>~(~(~(s))))))
(~((~((a>(s&(y|d))))|a))>~((a>g)))
0
0
0
0
not entailment
~(((s|~(f))&~(f)))
((f&~(s))|s)
1
1
1
0
entailment
((d>f)&~((d|f)))
(s|~(f))
1
1
0
0
entailment
~(((s|~(f))&~(f)))
(s|~(f))
0
1
1
0
not entailment
((d>f)&~((d|f)))
((f&~(s))|s)
0
1
0
0
not entailment
(f&s)
((((((f>d)|(~(s)>d))&s)&s)|f)|(d&s))
1
0
0
0
entailment
((s>s)>(d>~(f)))
(f>~((s&d)))
1
1
1
1
entailment
(f&s)
(f>~((s&d)))
0
0
0
0
not entailment
((s>s)>(d>~(f)))
((((((f>d)|(~(s)>d))&s)&s)|f)|(d&s))
0
0
1
0
not entailment
((((d|(s&s))>~(s))&(f|s))&f)
((f>~(~(~(~((s|s))))))>((s|s)&d))
1
0
1
0
entailment
~((~(d)|f))
~(~(((s|(s>f))&(~(d)>(d&(f&(s>s)))))))
1
0
0
0
entailment
((((d|(s&s))>~(s))&(f|s))&f)
~(~(((s|(s>f))&(~(d)>(d&(f&(s>s)))))))
0
0
1
0
not entailment
~((~(d)|f))
((f>~(~(~(~((s|s))))))>((s|s)&d))
0
0
0
0
not entailment
(f&s)
((d|(s|f))|s)
1
0
0
0
entailment
~((f|((s|d)|s)))
~(((d&(f&s))|(d|(~(d)&f))))
1
0
1
0
entailment
(f&s)
~(((d&(f&s))|(d|(~(d)&f))))
0
0
0
0
not entailment
~((f|((s|d)|s)))
((d|(s|f))|s)
0
1
1
0
not entailment
~((s>(f&f)))
((f|((d|s)>~((f>f))))|s)
1
0
0
0
entailment
~((~((s|~(f)))|~(d)))
(~(d)>f)
1
1
1
0
entailment