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
(((p>p)|p)>d)
(~((p&~(d)))&(p>(p>d)))
1
0
1
1
entailment
~((~((d|p))|~((d>p))))
(~((~((~(d)|p))|(d&p)))|(p&d))
1
0
1
0
entailment
(((p>p)|p)>d)
(~((~((~(d)|p))|(d&p)))|(p&d))
0
0
1
0
not entailment
~((~((d|p))|~((d>p))))
(~((p&~(d)))&(p>(p>d)))
0
1
1
0
not entailment
(~((s>x))&(j>m))
((d&~(~(d)))>((m|~(x))>(t>s)))
1
0
0
0
entailment
(((n&h)|s)&m)
(~(~((n&x)))|((j&(n&(m&d)))|m))
1
0
0
0
entailment
(~((s>x))&(j>m))
(~(~((n&x)))|((j&(n&(m&d)))|m))
0
0
0
0
not entailment
(((n&h)|s)&m)
((d&~(~(d)))>((m|~(x))>(t>s)))
0
0
0
0
not entailment
(((~((h|d))>~((~(x)>x)))&(s&s))&t)
(j>((h&n)|s))
1
1
0
0
entailment
((j>n)&((d&m)|n))
(~(j)>((h&~((~((~(m)>j))>(h&x))))>n))
1
0
0
0
entailment
(((~((h|d))>~((~(x)>x)))&(s&s))&t)
(~(j)>((h&~((~((~(m)>j))>(h&x))))>n))
0
0
0
0
not entailment
((j>n)&((d&m)|n))
(j>((h&n)|s))
0
1
0
0
not entailment
~(~((~(d)&m)))
~((t&~((m|(((n|t)&x)|s)))))
1
0
0
0
entailment
(~((x|(h&t)))&t)
(~(~(~(~(~(t)))))>x)
1
0
1
0
entailment
~(~((~(d)&m)))
(~(~(~(~(~(t)))))>x)
0
0
0
0
not entailment
(~((x|(h&t)))&t)
~((t&~((m|(((n|t)&x)|s)))))
0
0
0
0
not entailment
~((n>((t|~(~((d>s))))>h)))
(((~(s)&(m>(s>h)))&(((n>n)>h)|m))>(j|m))
1
0
0
0
entailment
(~((t>d))&(((h>(d&((h|s)>d)))|h)>h))
(t|(d>~(x)))
1
1
0
0
entailment
~((n>((t|~(~((d>s))))>h)))
(t|(d>~(x)))
0
1
0
0
not entailment
(~((t>d))&(((h>(d&((h|s)>d)))|h)>h))
(((~(s)&(m>(s>h)))&(((n>n)>h)|m))>(j|m))
0
0
0
0
not entailment
(~(~(((t>(h>t))&t)))|((m&(d>x))&t))
(~((((j&n)&d)|n))>(t|j))
1
1
0
0
entailment
((m>s)>(m|s))
(d|(m|s))
1
1
0
0
entailment
(~(~(((t>(h>t))&t)))|((m&(d>x))&t))
(d|(m|s))
0
1
0
0
not entailment
((m>s)>(m|s))
(~((((j&n)&d)|n))>(t|j))
0
0
0
0
not entailment
((d&((x|m)|d))&(~(~(h))>((s|(s>t))&x)))
((m&~((~((x>(s>j)))>((d&d)|m))))|d)
1
1
0
0
entailment
(m|m)
(x|(t>m))
1
0
0
0
entailment
((d&((x|m)|d))&(~(~(h))>((s|(s>t))&x)))
(x|(t>m))
0
1
1
0
not entailment
(m|m)
((m&~((~((x>(s>j)))>((d&d)|m))))|d)
0
0
0
0
not entailment
(((x|(s>t))>d)&(~(n)&(d>s)))
(~((~((s&s))>d))>h)
1
1
0
0
entailment
(((~(x)>(n&d))&x)&(((d&t)&d)>(d&j)))
((x|(n&s))|(d>m))
1
1
0
0
entailment
(((x|(s>t))>d)&(~(n)&(d>s)))
((x|(n&s))|(d>m))
0
1
0
0
not entailment
(((~(x)>(n&d))&x)&(((d&t)&d)>(d&j)))
(~((~((s&s))>d))>h)
0
1
0
0
not entailment
~(((s|~(n))|(~((m|m))|(j>x))))
((x>(n&(j&m)))&(m|(j|x)))
1
1
1
0
entailment
((m&d)&n)
(d|h)
1
1
0
0
entailment
~(((s|~(n))|(~((m|m))|(j>x))))
(d|h)
0
1
0
0
not entailment
((m&d)&n)
((x>(n&(j&m)))&(m|(j|x)))
0
0
0
0
not entailment
(t&(s>j))
((x>t)|((t|d)|(x>t)))
1
0
0
0
entailment
(n&(((h>x)>d)>((d&(m&d))>(d&(x&h)))))
((d&d)>(~((s>~(m)))|(((x|j)&t)>n)))
1
1
0
0
entailment
(t&(s>j))
((d&d)>(~((s>~(m)))|(((x|j)&t)>n)))
0
0
0
0
not entailment
(n&(((h>x)>d)>((d&(m&d))>(d&(x&h)))))
((x>t)|((t|d)|(x>t)))
0
1
0
0
not entailment
((t&s)&(h&x))
~(~(((h&(m|s))&s)))
1
0
0
0
entailment
~((((h|t)>n)|m))
((n&((d>h)|x))>~((((d>j)>d)&~(j))))
1
0
0
0
entailment
((t&s)&(h&x))
((n&((d>h)|x))>~((((d>j)>d)&~(j))))
0
0
0
0
not entailment
~((((h|t)>n)|m))
~(~(((h&(m|s))&s)))
0
0
0
0
not entailment
(((j&j)>~(((t>h)>n)))&(~((h>j))|(m>j)))
(((j>(((s&n)|m)&x))|((n>x)|h))|m)
1
1
0
0
entailment
((s|((~((d&(h>n)))&t)&j))&~(~(d)))
((x>x)>d)
1
1
0
0
entailment
(((j&j)>~(((t>h)>n)))&(~((h>j))|(m>j)))
((x>x)>d)
0
1
0
0
not entailment
((s|((~((d&(h>n)))&t)&j))&~(~(d)))
(((j>(((s&n)|m)&x))|((n>x)|h))|m)
0
1
0
0
not entailment
~(m)
((x|((n&n)&~(((h>h)|t))))|((m>(h&j))|s))
1
0
0
0
entailment
~(~(((((h|~(s))|s)|x)&~((~(s)>x)))))
((~(~(d))|~(x))|n)
1
1
0
0
entailment
~(m)
((~(~(d))|~(x))|n)
0
0
0
0
not entailment
~(~(((((h|~(s))|s)|x)&~((~(s)>x)))))
((x|((n&n)&~(((h>h)|t))))|((m>(h&j))|s))
0
1
0
0
not entailment
(~(m)&s)
(((d&(s|s))>~(m))|((n>(x&~(j)))>t))
1
0
0
0
entailment
~(~(~(~(~(~((m&(m&(d&(s>n))))))))))
(h>(d&d))
1
1
0
0
entailment
(~(m)&s)
(h>(d&d))
0
1
0
0
not entailment
~(~(~(~(~(~((m&(m&(d&(s>n))))))))))
(((d&(s|s))>~(m))|((n>(x&~(j)))>t))
0
1
0
0
not entailment
(~((~(d)&j))&j)
(t>((~((d&d))&(m>t))>(~(n)>~(s))))
1
0
0
0
entailment
(t|(j&t))
((s&((s&d)&(n>(x|d))))>(t|t))
1
0
0
0
entailment
(~((~(d)&j))&j)
((s&((s&d)&(n>(x|d))))>(t|t))
0
0
0
0
not entailment
(t|(j&t))
(t>((~((d&d))&(m>t))>(~(n)>~(s))))
0
0
0
0
not entailment
(m&(s>d))
((n|m)&(h|m))
1
0
0
0
entailment
~(((((j>d)>t)|(~((d>d))&(x|j)))>t))
((d&n)|((~(d)|h)>(j&j)))
1
1
0
0
entailment
(m&(s>d))
((d&n)|((~(d)|h)>(j&j)))
0
0
0
0
not entailment
~(((((j>d)>t)|(~((d>d))&(x|j)))>t))
((n|m)&(h|m))
0
1
0
0
not entailment
(j&((n&n)&(~((m>n))|m)))
(~(j)>(h|(x>m)))
1
1
0
0
entailment
((x>s)&(~(t)&((n>(t&d))&s)))
(x>(s|d))
1
1
1
1
entailment
(j&((n&n)&(~((m>n))|m)))
(x>(s|d))
0
1
0
0
not entailment
((x>s)&(~(t)&((n>(t&d))&s)))
(~(j)>(h|(x>m)))
0
1
0
0
not entailment
~(~((z|f)))
((f|(f|f))|(z|f))
1
0
1
1
entailment
~((~(f)&~((f|~(((z|z)|(f|(z&f))))))))
(z>f)
1
1
1
1
entailment
~(~((z|f)))
(z>f)
0
1
1
0
not entailment
~((~(f)&~((f|~(((z|z)|(f|(z&f))))))))
((f|(f|f))|(z|f))
0
1
1
0
not entailment
~(z)
((z>f)&((f>(z>z))|(~(~(f))|z)))
1
0
0
0
entailment
(((f>(z|f))>~(((f>z)&z)))>z)
(z|~(f))
1
1
1
1
entailment
~(z)
(z|~(f))
0
0
0
0
not entailment
(((f>(z|f))>~(((f>z)&z)))>z)
((z>f)&((f>(z>z))|(~(~(f))|z)))
0
0
1
0
not entailment
((z&f)&f)
((z>f)>f)
1
1
1
0
entailment
(~((f|f))|~(f))
~((f&(~(z)|f)))
1
1
0
0
entailment
((z&f)&f)
~((f&(~(z)|f)))
0
0
1
0
not entailment
(~((f|f))|~(f))
((z>f)>f)
0
1
0
0
not entailment
(((z|f)|z)>f)
((~(~(((~((z>z))&f)|z)))&z)>(z>(f|f)))
1
0
1
0
entailment
(z&(z&~(~(~(f)))))
~(((f>f)>(f&f)))
1
1
1
0
entailment
(((z|f)|z)>f)
~(((f>f)>(f&f)))
0
0
1
1
not entailment
(z&(z&~(~(~(f)))))
((~(~(((~((z>z))&f)|z)))&z)>(z>(f|f)))
0
0
1
0
not entailment
((z>z)>(f&z))
(~(f)|z)
1
1
1
0
entailment
~(~((~((z|~(z)))|~((f>z)))))
(((z|z)|(f>~(f)))>~(~((f&~(f)))))
1
0
1
0
entailment
((z>z)>(f&z))
(((z|z)|(f>~(f)))>~(~((f&~(f)))))
0
0
1
0
not entailment
~(~((~((z|~(z)))|~((f>z)))))
(~(f)|z)
0
1
1
0
not entailment
(f&~((z&z)))
(f|f)
1
1
1
1
entailment
(~((~(f)&z))>z)
((f&(((z|z)>~(z))>(~(f)|z)))|z)
1
0
1
0
entailment
(f&~((z&z)))
((f&(((z|z)>~(z))>(~(f)|z)))|z)
0
0
1
0
not entailment
(~((~(f)&z))>z)
(f|f)
0
1
1
0
not entailment
(f&~(z))
((f&z)|((f&z)|f))
1
0
1
0
entailment
~((~((z>f))|f))
((f>z)&(z>((z>f)|f)))
1
0
1
0
entailment
(f&~(z))
((f>z)&(z>((z>f)|f)))
0
0
1
0
not entailment
~((~((z>f))|f))
((f&z)|((f&z)|f))
0
1
1
0
not entailment
(f>~(f))
(((f>z)&z)>~((z>((f|f)&z))))
1
0
0
0
entailment
(z&~(~(((f>z)>f))))
(((z|(z>z))&(z>z))>f)
1
1
1
1
entailment
(f>~(f))
(((z|(z>z))&(z>z))>f)
0
0
0
0
not entailment
(z&~(~(((f>z)>f))))
(((f>z)&z)>~((z>((f|f)&z))))
0
0
1
0
not entailment