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>~(((r|k)|~(g)))))
(~((~(r)&~(r)))|~(x))
1
1
0
0
entailment
((~(~((x&d)))&k)&((k>((r>t)&~(t)))&d))
(~((~(r)&~(r)))|~(x))
0
1
1
0
not entailment
~((r>~(((r|k)|~(g)))))
(~((d>k))|(x>~(t)))
0
1
0
0
not entailment
(((g|((k&x)>(d&g)))>(~(d)>k))&~(d))
((r&(d|k))>~(~((r&k))))
1
1
0
0
entailment
((~((r>~(x)))&(~(t)>g))&g)
(((r|x)|r)|x)
1
1
1
1
entailment
(((g|((k&x)>(d&g)))>(~(d)>k))&~(d))
(((r|x)|r)|x)
0
1
0
0
not entailment
((~((r>~(x)))&(~(t)>g))&g)
((r&(d|k))>~(~((r&k))))
0
1
0
0
not entailment
(r&(r>k))
((~(r)|(t>k))&((k&(r>k))|(d|((r>d)|g))))
1
0
0
0
entailment
(~(~(x))|~(~(~((~((k&x))|d)))))
((((r>(g&(r&t)))|r)&x)|~(d))
1
1
0
0
entailment
(r&(r>k))
((((r>(g&(r&t)))|r)&x)|~(d))
0
0
0
0
not entailment
(~(~(x))|~(~(~((~((k&x))|d)))))
((~(r)|(t>k))&((k&(r>k))|(d|((r>d)|g))))
0
0
0
0
not entailment
(((x>(x&t))>~(d))&(d&k))
~((t|(~((t>g))&(~(g)>(t|g)))))
1
0
0
0
entailment
~((((x>d)&k)>r))
~(((((r&(r|~(k)))>~((x>d)))>r)&k))
1
0
1
0
entailment
(((x>(x&t))>~(d))&(d&k))
~(((((r&(r|~(k)))>~((x>d)))>r)&k))
0
0
0
0
not entailment
~((((x>d)&k)>r))
~((t|(~((t>g))&(~(g)>(t|g)))))
0
0
0
0
not entailment
(~((((g&r)>x)&(g|g)))&(k&x))
((x>r)|(g>t))
1
1
0
0
entailment
(d&(d>(~((r&x))&~(~(g)))))
~(((t|~(d))&~(g)))
1
1
0
0
entailment
(~((((g&r)>x)&(g|g)))&(k&x))
~(((t|~(d))&~(g)))
0
1
0
0
not entailment
(d&(d>(~((r&x))&~(~(g)))))
((x>r)|(g>t))
0
1
0
0
not entailment
~(~(~(((g|(~((r|t))&x))>t))))
(~(g)>((t|~(r))>x))
1
1
1
0
entailment
((x&(((d|t)>~(g))>((k>t)&k)))|k)
~(~((((r|k)&(x>t))>((g>x)|k))))
1
1
0
0
entailment
~(~(~(((g|(~((r|t))&x))>t))))
~(~((((r|k)&(x>t))>((g>x)|k))))
0
1
0
0
not entailment
((x&(((d|t)>~(g))>((k>t)&k)))|k)
(~(g)>((t|~(r))>x))
0
1
0
0
not entailment
(g&(t&d))
((((t>g)|((r>d)>g))&(r>t))>(g|r))
1
0
0
0
entailment
(~(((g>d)>(t&(((k|t)>t)&~(x)))))&k)
((~(k)>r)|(((g|t)>k)&g))
1
1
0
0
entailment
(g&(t&d))
((~(k)>r)|(((g|t)>k)&g))
0
0
0
0
not entailment
(~(((g>d)>(t&(((k|t)>t)&~(x)))))&k)
((((t>g)|((r>d)>g))&(r>t))>(g|r))
0
1
0
0
not entailment
((x&~((g>r)))|x)
(~((d|(k|x)))>~(~(((((r>d)>r)|x)|r))))
1
0
0
0
entailment
(~((((r>(g&g))>t)|k))&g)
~((k|k))
1
1
1
1
entailment
((x&~((g>r)))|x)
~((k|k))
0
1
0
0
not entailment
(~((((r>(g&g))>t)|k))&g)
(~((d|(k|x)))>~(~(((((r>d)>r)|x)|r))))
0
0
0
0
not entailment
(~(~(r))&~(((t>k)&(r|r))))
(((d|x)>(d>t))&((r&r)>r))
1
1
0
0
entailment
(((((x>g)|g)&(k|d))>d)&k)
((g>x)|d)
1
1
1
1
entailment
(~(~(r))&~(((t>k)&(r|r))))
((g>x)|d)
0
1
0
0
not entailment
(((((x>g)|g)&(k|d))>d)&k)
(((d|x)>(d>t))&((r&r)>r))
0
1
0
0
not entailment
((((g|k)>d)|(x|k))&~((x|(d|~(k)))))
(r|k)
1
1
0
0
entailment
(d&x)
~(~((x|(r&~(x)))))
1
0
0
0
entailment
((((g|k)>d)|(x|k))&~((x|(d|~(k)))))
~(~((x|(r&~(x)))))
0
1
0
0
not entailment
(d&x)
(r|k)
0
1
0
0
not entailment
((x&t)&(k|~((r>k))))
(t&((g&k)|(((x|x)&(r|x))|g)))
1
0
0
0
entailment
(k&((g|r)&r))
((x>~(t))|(k|d))
1
0
0
0
entailment
((x&t)&(k|~((r>k))))
((x>~(t))|(k|d))
0
1
0
0
not entailment
(k&((g|r)&r))
(t&((g&k)|(((x|x)&(r|x))|g)))
0
0
0
0
not entailment
(t&(((r>r)>((g>~(g))|(t&g)))|(d>r)))
((k&(k|k))|t)
1
1
0
0
entailment
(((~((x&g))|(d|x))|t)>((r&(d&g))|~(t)))
(~(~(((k|g)&t)))|((r|(d&t))>r))
1
1
0
0
entailment
(t&(((r>r)>((g>~(g))|(t&g)))|(d>r)))
(~(~(((k|g)&t)))|((r|(d&t))>r))
0
1
0
0
not entailment
(((~((x&g))|(d|x))|t)>((r&(d&g))|~(t)))
((k&(k|k))|t)
0
1
0
0
not entailment
(k&((k>r)&((g|k)&(k>x))))
(~((((d>r)|r)&g))>r)
1
1
0
0
entailment
~(~(~(((g>k)>((k>(~((d&x))|k))&d)))))
((r&d)>(~(~(((r&x)&~(r))))&(d>(g|r))))
1
1
0
0
entailment
(k&((k>r)&((g|k)&(k>x))))
((r&d)>(~(~(((r&x)&~(r))))&(d>(g|r))))
0
0
0
0
not entailment
~(~(~(((g>k)>((k>(~((d&x))|k))&d)))))
(~((((d>r)|r)&g))>r)
0
1
0
0
not entailment
((r>(~(k)&(k>x)))>r)
(k|r)
1
1
1
1
entailment
(((t&x)&(r&~(~(x))))|(t&x))
(((g&r)&k)|x)
1
1
0
0
entailment
((r>(~(k)&(k>x)))>r)
(((g&r)&k)|x)
0
1
0
0
not entailment
(((t&x)&(r&~(~(x))))|(t&x))
(k|r)
0
1
0
0
not entailment
((~(d)|(g>g))&(t&k))
((g>x)|(~(((d|t)&~(~(~(t)))))&g))
1
0
0
0
entailment
((x|k)&r)
((x>(t>r))|(~(g)&t))
1
0
0
0
entailment
((~(d)|(g>g))&(t&k))
((x>(t>r))|(~(g)&t))
0
1
0
0
not entailment
((x|k)&r)
((g>x)|(~(((d|t)&~(~(~(t)))))&g))
0
0
0
0
not entailment
~(~((((r>g)&(r&((x>(x&k))>x)))&~(d))))
((((k&d)&(r>r))>(k|t))>(t|g))
1
1
0
0
entailment
~((r|(d&(k|d))))
(~(r)|((g>(r&(t>r)))>~(k)))
1
0
0
0
entailment
~(~((((r>g)&(r&((x>(x&k))>x)))&~(d))))
(~(r)|((g>(r&(t>r)))>~(k)))
0
1
0
0
not entailment
~((r|(d&(k|d))))
((((k&d)&(r>r))>(k|t))>(t|g))
0
0
0
0
not entailment
(~(d)&((~(g)&(t&(t&g)))>t))
(((d|~(x))&d)>~(~((((r|g)&(x>d))|t))))
1
0
0
0
entailment
(x&((g|(x>(g|d)))&(g>(t&~(g)))))
(((t>k)>~(((d>g)&x)))>(~(k)>(d|x)))
1
0
0
0
entailment
(~(d)&((~(g)&(t&(t&g)))>t))
(((t>k)>~(((d>g)&x)))>(~(k)>(d|x)))
0
0
0
0
not entailment
(x&((g|(x>(g|d)))&(g>(t&~(g)))))
(((d|~(x))&d)>~(~((((r|g)&(x>d))|t))))
0
0
0
0
not entailment
((t&g)&((r|(g>d))&((g>g)|(g|k))))
(((g&x)&g)|((t|d)&t))
1
1
0
0
entailment
((t|x)>~(((d>x)|(~(d)>g))))
~(~((((t&r)&g)|(t>r))))
1
1
0
0
entailment
((t&g)&((r|(g>d))&((g>g)|(g|k))))
~(~((((t&r)&g)|(t>r))))
0
1
1
0
not entailment
((t|x)>~(((d>x)|(~(d)>g))))
(((g&x)&g)|((t|d)&t))
0
1
1
0
not entailment
((p&(y|(y|x)))&((p&p)&x))
((~(o)|x)|(((p&r)|p)>(~((x&f))>c)))
1
0
0
0
entailment
~((y>~(~(r))))
((~((f&x))|x)>y)
1
1
0
0
entailment
((p&(y|(y|x)))&((p&p)&x))
((~((f&x))|x)>y)
0
1
0
0
not entailment
~((y>~(~(r))))
((~(o)|x)|(((p&r)|p)>(~((x&f))>c)))
0
0
0
0
not entailment
(x&r)
~((~(x)&(~(f)|(y&c))))
1
0
0
0
entailment
(((x>~(r))|f)&((c>x)>c))
((~((p&c))>c)|(p|y))
1
1
0
0
entailment
(x&r)
((~((p&c))>c)|(p|y))
0
0
0
0
not entailment
(((x>~(r))|f)&((c>x)>c))
~((~(x)&(~(f)|(y&c))))
0
1
0
0
not entailment
(((y&x)&y)&((c|r)&(p|c)))
((p|(c|y))|(f&f))
1
1
0
0
entailment
(~(((~(y)&y)&~(y)))>(o&x))
((p&(f&c))>o)
1
1
0
0
entailment
(((y&x)&y)&((c|r)&(p|c)))
((p&(f&c))>o)
0
1
0
0
not entailment
(~(((~(y)&y)&~(y)))>(o&x))
((p|(c|y))|(f&f))
0
1
0
0
not entailment
~((x&~((((y&r)>(f|p))>c))))
((~(f)&r)|((o>~(x))|((c&o)|p)))
1
0
0
0
entailment
(y&~(((~((o>(x&x)))|r)>p)))
((f&(o|~(p)))>~(p))
1
1
0
0
entailment
~((x&~((((y&r)>(f|p))>c))))
((f&(o|~(p)))>~(p))
0
1
0
0
not entailment
(y&~(((~((o>(x&x)))|r)>p)))
((~(f)&r)|((o>~(x))|((c&o)|p)))
0
0
0
0
not entailment
((o|(x&y))&(c&(~(~(y))&x)))
((((x&x)>f)>(~((o|(o&o)))>(f|x)))>y)
1
0
0
0
entailment
~(((c&((c>x)&(f>(f|f))))>~(~((f>p)))))
((((~(~(y))>r)&(o|p))>(~(p)&f))&f)
1
1
0
0
entailment
((o|(x&y))&(c&(~(~(y))&x)))
((((~(~(y))>r)&(o|p))>(~(p)&f))&f)
0
0
0
0
not entailment
~(((c&((c>x)&(f>(f|f))))>~(~((f>p)))))
((((x&x)>f)>(~((o|(o&o)))>(f|x)))>y)
0
1
0
0
not entailment
~(((y>((x|p)>x))|(((r&f)&(o|p))&y)))
(~(((o|(x>(x|f)))>x))>~(~((y>p))))
1
1
1
1
entailment
((((y>o)|(y|x))>~(~((c>x))))>~((r>p)))
(r|(~((p>(c|f)))>~(y)))
1
1
0
0
entailment
~(((y>((x|p)>x))|(((r&f)&(o|p))&y)))
(r|(~((p>(c|f)))>~(y)))
0
1
0
0
not entailment
((((y>o)|(y|x))>~(~((c>x))))>~((r>p)))
(~(((o|(x>(x|f)))>x))>~(~((y>p))))
0
1
0
0
not entailment
~((f|((y&x)|~(o))))
(~(((c|c)>(p&x)))|(((o&o)|c)|p))
1
0
0
0
entailment
~(((p|y)|o))
(f|(~(((p|(c|r))|(o>x)))>f))
1
0
0
0
entailment
~((f|((y&x)|~(o))))
(f|(~(((p|(c|r))|(o>x)))>f))
0
0
0
0
not entailment
~(((p|y)|o))
(~(((c|c)>(p&x)))|(((o&o)|c)|p))
0
0
0
0
not entailment
~((o|((~(y)|c)>((p&r)|r))))
~((o&y))
1
1
1
1
entailment