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
(((m|~(o))&o)&~(((f&f)&f)))
(~(a)|~(~((~((o>f))&(o|o)))))
1
0
0
0
entailment
((~(z)&z)|a)
(z|a)
1
1
1
1
entailment
(((m|~(o))&o)&~(((f&f)&f)))
(z|a)
0
1
0
0
not entailment
((~(z)&z)|a)
(~(a)|~(~((~((o>f))&(o|o)))))
0
0
0
0
not entailment
(a&m)
(~(~(~(a)))>((f&m)&(f|(~(~(a))>m))))
1
0
0
0
entailment
((f&b)&~((~(m)&y)))
~((~(~(((b&a)>a)))&(~(f)&~(~(z)))))
1
0
0
0
entailment
(a&m)
~((~(~(((b&a)>a)))&(~(f)&~(~(z)))))
0
0
0
0
not entailment
((f&b)&~((~(m)&y)))
(~(~(~(a)))>((f&m)&(f|(~(~(a))>m))))
0
0
0
0
not entailment
~(~(y))
(y|~(((b>((m&o)>y))>((z&~(m))|(f|y)))))
1
0
0
0
entailment
(~((a>(a&y)))|(~(z)>(o&b)))
((~(a)>(z|z))|b)
1
1
1
1
entailment
~(~(y))
((~(a)>(z|z))|b)
0
0
0
0
not entailment
(~((a>(a&y)))|(~(z)>(o&b)))
(y|~(((b>((m&o)>y))>((z&~(m))|(f|y)))))
0
0
0
0
not entailment
((y&((m|z)&z))&((((o|f)|m)&(a&o))|z))
(b|((y&a)>((a|z)>z)))
1
1
0
0
entailment
(o&((((m|~(z))&((m>b)|y))|~(a))&~(m)))
((f>o)|~((y|z)))
1
1
0
0
entailment
((y&((m|z)&z))&((((o|f)|m)&(a&o))|z))
((f>o)|~((y|z)))
0
1
1
0
not entailment
(o&((((m|~(z))&((m>b)|y))|~(a))&~(m)))
(b|((y&a)>((a|z)>z)))
0
1
1
0
not entailment
(~(((a&y)|(o|y)))&f)
(m>((b>~(b))|(~(o)|z)))
1
0
0
0
entailment
~(((b>f)|~(o)))
((~(o)&(m>z))>y)
1
1
0
0
entailment
(~(((a&y)|(o|y)))&f)
((~(o)&(m>z))>y)
0
1
0
0
not entailment
~(((b>f)|~(o)))
(m>((b>~(b))|(~(o)|z)))
0
0
0
0
not entailment
~((((b&f)|z)|o))
~(((m>((m&z)>b))>(~(a)&a)))
1
0
0
0
entailment
(((~(a)>~(m))&(o>z))&m)
(b>a)
1
1
0
0
entailment
~((((b&f)|z)|o))
(b>a)
0
1
0
0
not entailment
(((~(a)>~(m))&(o>z))&m)
~(((m>((m&z)>b))>(~(a)&a)))
0
0
0
0
not entailment
(((f&f)|y)&(o&(o>z)))
(((o>(o|z))&(m>z))|z)
1
1
0
0
entailment
~((m>f))
(m&~(((~(a)&b)&(o&(b>a)))))
1
0
0
0
entailment
(((f&f)|y)&(o&(o>z)))
(m&~(((~(a)&b)&(o&(b>a)))))
0
0
0
0
not entailment
~((m>f))
(((o>(o|z))&(m>z))|z)
0
0
0
0
not entailment
(~((z>b))&~(((a>f)|~(y))))
((((o|(f>a))&o)|f)>((m|z)|((m|(z|a))|z)))
1
0
0
0
entailment
(~((b>(b>z)))&(((y&a)&a)>~((f>(m>b)))))
((b&f)|(o>b))
1
1
0
0
entailment
(~((z>b))&~(((a>f)|~(y))))
((b&f)|(o>b))
0
1
0
0
not entailment
(~((b>(b>z)))&(((y&a)&a)>~((f>(m>b)))))
((((o|(f>a))&o)|f)>((m|z)|((m|(z|a))|z)))
0
1
0
0
not entailment
(((a>b)>m)&a)
(y|a)
1
1
0
0
entailment
~((~(z)>a))
~((~((z|a))>(z&y)))
1
0
0
0
entailment
(((a>b)>m)&a)
~((~((z|a))>(z&y)))
0
0
0
0
not entailment
~((~(z)>a))
(y|a)
0
1
0
0
not entailment
(~(((o&((o>z)>y))>y))&b)
((f&o)|(~(z)&~((z&~(m)))))
1
0
0
0
entailment
(y|(a&~(((y&b)|(m>y)))))
(~(((f|z)>(m|(y&o))))>~(o))
1
0
0
0
entailment
(~(((o&((o>z)>y))>y))&b)
(~(((f|z)>(m|(y&o))))>~(o))
0
0
0
0
not entailment
(y|(a&~(((y&b)|(m>y)))))
((f&o)|(~(z)&~((z&~(m)))))
0
0
0
0
not entailment
~((~(~(~(~(z))))>((y|o)|(f&m))))
(a>z)
1
1
0
0
entailment
((b|(((m&z)>b)>~((y|(y>m)))))|~((y>z)))
(((m>y)|b)>(~(((f&a)|y))>(b|y)))
1
1
0
0
entailment
~((~(~(~(~(z))))>((y|o)|(f&m))))
(((m>y)|b)>(~(((f&a)|y))>(b|y)))
0
1
0
0
not entailment
((b|(((m&z)>b)>~((y|(y>m)))))|~((y>z)))
(a>z)
0
1
0
0
not entailment
(~(a)&~(((m|a)>y)))
(~((a>((b|f)&(o|(~((y|f))|~(f))))))>y)
1
0
0
0
entailment
((a&m)&((m>~((z>f)))&~(((o&z)&o))))
((((a>y)>((b&b)&o))&(z|(b&(y&y))))|(m&a))
1
0
0
0
entailment
(~(a)&~(((m|a)>y)))
((((a>y)>((b&b)&o))&(z|(b&(y&y))))|(m&a))
0
0
0
0
not entailment
((a&m)&((m>~((z>f)))&~(((o&z)&o))))
(~((a>((b|f)&(o|(~((y|f))|~(f))))))>y)
0
0
0
0
not entailment
(((y&o)&((f&(m&f))|y))&(m>m))
((~(((o>y)>m))|(o|f))>~(~(y)))
1
0
1
0
entailment
(a&f)
(((y&f)&m)|f)
1
0
0
0
entailment
(((y&o)&((f&(m&f))|y))&(m>m))
(((y&f)&m)|f)
0
1
1
1
not entailment
(a&f)
((~(((o>y)>m))|(o|f))>~(~(y)))
0
0
0
0
not entailment
(f&(o|a))
((b|(~(z)>z))>(~((o|f))>m))
1
0
0
0
entailment
(y|(~((z>m))&(((z|o)&((a>b)&m))&(b>m))))
(y&((z>~(a))|(y|f)))
1
1
0
0
entailment
(f&(o|a))
(y&((z>~(a))|(y|f)))
0
0
0
0
not entailment
(y|(~((z>m))&(((z|o)&((a>b)&m))&(b>m))))
((b|(~(z)>z))>(~((o|f))>m))
0
1
0
0
not entailment
~(~((z|~(~(f)))))
(f|(((y>z)|~(z))&z))
1
1
0
0
entailment
((y>(a&y))&((o|a)&~(z)))
(z>((z|y)>a))
1
1
1
1
entailment
~(~((z|~(~(f)))))
(z>((z|y)>a))
0
1
0
0
not entailment
((y>(a&y))&((o|a)&~(z)))
(f|(((y>z)|~(z))&z))
0
1
0
0
not entailment
~((m>(f>(a>(b&o)))))
((~(m)&((a&f)|(y|m)))>z)
1
0
0
0
entailment
~((~(a)>(z|((f&b)|~((y|m))))))
~((b&~(~(~(((f&~(~(y)))>z))))))
1
0
1
0
entailment
~((m>(f>(a>(b&o)))))
~((b&~(~(~(((f&~(~(y)))>z))))))
0
0
0
0
not entailment
~((~(a)>(z|((f&b)|~((y|m))))))
((~(m)&((a&f)|(y|m)))>z)
0
1
1
0
not entailment
((b>b)>f)
((o>b)>f)
1
1
0
0
entailment
(~(((o&~(a))>y))&((a|f)>(o>f)))
((f>o)>(((f|f)&((a>f)&a))>((b>f)&(b|b))))
1
0
0
0
entailment
((b>b)>f)
((f>o)>(((f|f)&((a>f)&a))>((b>f)&(b|b))))
0
0
0
0
not entailment
(~(((o&~(a))>y))&((a|f)>(o>f)))
((o>b)>f)
0
1
0
0
not entailment
~((~(((o&f)|f))|(y&(((f|f)>(m|f))|f))))
((f>m)|(y>(z&a)))
1
1
0
0
entailment
(b&y)
(a>y)
1
1
0
0
entailment
~((~(((o&f)|f))|(y&(((f|f)>(m|f))|f))))
(a>y)
0
1
0
0
not entailment
(b&y)
((f>m)|(y>(z&a)))
0
0
0
0
not entailment
~((~(~(~(y)))>((f>o)|a)))
(((a&((f&b)&f))|((a&a)>b))|(~((o&y))>f))
1
0
0
0
entailment
(~(~((m>m)))&z)
(~(z)>((f&o)|z))
1
1
0
0
entailment
~((~(~(~(y)))>((f>o)|a)))
(~(z)>((f&o)|z))
0
1
0
0
not entailment
(~(~((m>m)))&z)
(((a&((f&b)&f))|((a&a)>b))|(~((o&y))>f))
0
0
0
0
not entailment
(m&y)
((y>o)>~(~(~(~((b>((m>y)&m)))))))
1
0
0
0
entailment
~(~(((f&f)&~((f>y)))))
((m|(y>~(~(z))))&(~(y)|(a&(b&f))))
1
0
0
0
entailment
(m&y)
((m|(y>~(~(z))))&(~(y)|(a&(b&f))))
0
0
0
0
not entailment
~(~(((f&f)&~((f>y)))))
((y>o)>~(~(~(~((b>((m>y)&m)))))))
0
0
0
0
not entailment
(((b&~((k&d)))&i)&~(~((l|(f|d)))))
((((b&~(c))&k)|i)&i)
1
1
0
0
entailment
(((k&(c|c))&(c>~(l)))|k)
~(~((~((i&f))>k)))
1
1
0
0
entailment
(((b&~((k&d)))&i)&~(~((l|(f|d)))))
~(~((~((i&f))>k)))
0
1
1
0
not entailment
(((k&(c|c))&(c>~(l)))|k)
((((b&~(c))&k)|i)&i)
0
1
0
0
not entailment
~(~((c>f)))
(~(b)>((f&c)|~(c)))
1
0
0
0
entailment
(d&~(~(((l&f)>~(b)))))
(~(d)>~(((l>c)|f)))
1
1
0
0
entailment
~(~((c>f)))
(~(d)>~(((l>c)|f)))
0
0
0
0
not entailment
(d&~(~(((l&f)>~(b)))))
(~(b)>((f&c)|~(c)))
0
1
0
0
not entailment
~((d|c))
(~(d)|(b|(~(l)>i)))
1
0
0
0
entailment
~(((c|(b|l))|(b|k)))
(i|~(((b>l)&b)))
1
1
0
0
entailment
~((d|c))
(i|~(((b>l)&b)))
0
0
0
0
not entailment
~(((c|(b|l))|(b|k)))
(~(d)|(b|(~(l)>i)))
0
1
0
0
not entailment
(i&(~(((c|(c&b))&(i&(d>d))))&k))
(~(~(~((d&f))))|i)
1
1
0
0
entailment
~(~(d))
((b>b)>d)
1
1
0
0
entailment
(i&(~(((c|(c&b))&(i&(d>d))))&k))
((b>b)>d)
0
1
1
0
not entailment
~(~(d))
(~(~(~((d&f))))|i)
0
0
0
0
not entailment
~(((l|~((f&i)))>(c|d)))
(((d&c)&(k>(b&f)))>((i|l)&(b|l)))
1
0
0
0
entailment
((c|k)&k)
(~(((f&d)>~(b)))|(k&(i>i)))
1
0
0
0
entailment
~(((l|~((f&i)))>(c|d)))
(~(((f&d)>~(b)))|(k&(i>i)))
0
0
0
0
not entailment
((c|k)&k)
(((d&c)&(k>(b&f)))>((i|l)&(b|l)))
0
0
0
0
not entailment