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 |
|---|---|---|---|---|---|---|
(d&d)
|
(~(d)|(~(((d|(~((d>f))|d))|f))|f))
| 0 | 0 | 0 | 0 |
not entailment
|
(d>f)
|
(d|d)
| 0 | 1 | 1 | 0 |
not entailment
|
(f&(d>d))
|
((f|(d&(d|(d>f))))|f)
| 1 | 0 | 1 | 1 |
entailment
|
((d>d)>~(f))
|
((f|(~(f)|((d>d)>d)))>(f>d))
| 1 | 0 | 1 | 0 |
entailment
|
(f&(d>d))
|
((f|(~(f)|((d>d)>d)))>(f>d))
| 0 | 0 | 1 | 0 |
not entailment
|
((d>d)>~(f))
|
((f|(d&(d|(d>f))))|f)
| 0 | 0 | 1 | 0 |
not entailment
|
((d>d)>~(~(f)))
|
~(~(~(((f|f)>(~((d>f))&(f>d))))))
| 1 | 0 | 1 | 1 |
entailment
|
~((d>((f&f)&~(~((f>d))))))
|
(~(f)&(~((f>f))>d))
| 1 | 1 | 1 | 1 |
entailment
|
((d>d)>~(~(f)))
|
(~(f)&(~((f>f))>d))
| 0 | 0 | 1 | 0 |
not entailment
|
~((d>((f&f)&~(~((f>d))))))
|
~(~(~(((f|f)>(~((d>f))&(f>d))))))
| 0 | 0 | 1 | 1 |
not entailment
|
((f&f)&(f|(((f&f)|d)&(d&~(f)))))
|
((((f|d)>d)|(~(f)|d))>((f>d)&f))
| 1 | 1 | 1 | 0 |
entailment
|
((f|d)>(~(d)&d))
|
(((f|~(~(~(~(f)))))>d)|~((d>f)))
| 1 | 0 | 1 | 1 |
entailment
|
((f&f)&(f|(((f&f)|d)&(d&~(f)))))
|
(((f|~(~(~(~(f)))))>d)|~((d>f)))
| 0 | 0 | 1 | 1 |
not entailment
|
((f|d)>(~(d)&d))
|
((((f|d)>d)|(~(f)|d))>((f>d)&f))
| 0 | 0 | 1 | 0 |
not entailment
|
(f&(~(d)|(((f|f)>d)|d)))
|
(~(~(f))|(d&~((f|d))))
| 1 | 1 | 1 | 1 |
entailment
|
((f>d)&~(~(~(f))))
|
~(f)
| 1 | 1 | 1 | 1 |
entailment
|
(f&(~(d)|(((f|f)>d)|d)))
|
~(f)
| 0 | 1 | 1 | 1 |
not entailment
|
((f>d)&~(~(~(f))))
|
(~(~(f))|(d&~((f|d))))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((f|~(~(d)))|(d&((d|f)&(d|~(d))))))
|
(f|((d|d)>~(d)))
| 1 | 1 | 1 | 0 |
entailment
|
(d&~(f))
|
(d&~((~(f)>f)))
| 1 | 0 | 1 | 1 |
entailment
|
~(((f|~(~(d)))|(d&((d|f)&(d|~(d))))))
|
(d&~((~(f)>f)))
| 0 | 1 | 1 | 1 |
not entailment
|
(d&~(f))
|
(f|((d|d)>~(d)))
| 0 | 0 | 1 | 0 |
not entailment
|
(((f&f)|f)&f)
|
~(~(((~(~(f))|(((f&d)|f)&d))|d)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(d)>((d|(f&f))>~(~((d>f)))))>f))
|
(((d|f)>~(d))>((f&d)|((f&(d>f))>(f>d))))
| 1 | 1 | 1 | 1 |
entailment
|
(((f&f)|f)&f)
|
(((d|f)>~(d))>((f&d)|((f&(d>f))>(f>d))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(d)>((d|(f&f))>~(~((d>f)))))>f))
|
~(~(((~(~(f))|(((f&d)|f)&d))|d)))
| 0 | 1 | 1 | 1 |
not entailment
|
(y&(~((y>((y|y)|y)))>(y|y)))
|
((y>y)>y)
| 1 | 1 | 1 | 1 |
entailment
|
~(y)
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
(y&(~((y>((y|y)|y)))>(y|y)))
|
~(y)
| 0 | 1 | 1 | 1 |
not entailment
|
~(y)
|
((y>y)>y)
| 0 | 0 | 1 | 0 |
not entailment
|
(~(~(((y&y)|y)))&(y&y))
|
(((y|y)&(y|y))|(y|(~(y)>y)))
| 1 | 0 | 1 | 1 |
entailment
|
~(((y|y)|y))
|
~((y&(y&(y&y))))
| 1 | 0 | 1 | 1 |
entailment
|
(~(~(((y&y)|y)))&(y&y))
|
~((y&(y&(y&y))))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((y|y)|y))
|
(((y|y)&(y|y))|(y|(~(y)>y)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(~((y&(y&(y|y)))))
|
~(~((((y|(y&y))>((y>y)&(y|y)))>(y&y))))
| 1 | 0 | 1 | 0 |
entailment
|
(~(y)&((y>y)|y))
|
(~((y|y))|(((y|(y&y))|y)&~(y)))
| 1 | 0 | 1 | 1 |
entailment
|
~(~((y&(y&(y|y)))))
|
(~((y|y))|(((y|(y&y))|y)&~(y)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(y)&((y>y)|y))
|
~(~((((y|(y&y))>((y>y)&(y|y)))>(y&y))))
| 0 | 0 | 1 | 1 |
not entailment
|
(((y>(y&y))|(y&y))&(y&y))
|
(y&y)
| 1 | 1 | 1 | 1 |
entailment
|
(y>~((y&y)))
|
~(((~(~(y))>(y|y))&y))
| 1 | 0 | 1 | 0 |
entailment
|
(((y>(y&y))|(y&y))&(y&y))
|
~(((~(~(y))>(y|y))&y))
| 0 | 1 | 1 | 1 |
not entailment
|
(y>~((y&y)))
|
(y&y)
| 0 | 1 | 1 | 0 |
not entailment
|
(y&y)
|
(y|y)
| 1 | 1 | 1 | 1 |
entailment
|
(~(((y|(y>y))>(y|y)))&(~((y>(y|y)))>y))
|
~(((y>~(y))>((y&y)|y)))
| 1 | 1 | 1 | 1 |
entailment
|
(y&y)
|
~(((y>~(y))>((y&y)|y)))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(((y|(y>y))>(y|y)))&(~((y>(y|y)))>y))
|
(y|y)
| 0 | 1 | 1 | 1 |
not entailment
|
(y&y)
|
(y&(y|y))
| 1 | 0 | 1 | 1 |
entailment
|
(((y|(y>y))&y)>(~(((y|y)&(y&y)))&y))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
(y&y)
|
~(y)
| 0 | 1 | 1 | 0 |
not entailment
|
(((y|(y>y))&y)>(~(((y|y)&(y&y)))&y))
|
(y&(y|y))
| 0 | 1 | 1 | 1 |
not entailment
|
(((y|y)>(y|y))>y)
|
~(~((y&(y>(y>y)))))
| 1 | 0 | 1 | 1 |
entailment
|
((~(y)|(y>y))>~((y|y)))
|
~(((y&~((y|~(y))))|(((y|y)&y)|y)))
| 1 | 0 | 1 | 1 |
entailment
|
(((y|y)>(y|y))>y)
|
~(((y&~((y|~(y))))|(((y|y)&y)|y)))
| 0 | 0 | 1 | 1 |
not entailment
|
((~(y)|(y>y))>~((y|y)))
|
~(~((y&(y>(y>y)))))
| 0 | 1 | 1 | 1 |
not entailment
|
((y|y)|(y|y))
|
(y&y)
| 1 | 1 | 1 | 1 |
entailment
|
~(y)
|
~(((y|y)|y))
| 1 | 0 | 1 | 1 |
entailment
|
((y|y)|(y|y))
|
~(((y|y)|y))
| 0 | 1 | 1 | 0 |
not entailment
|
~(y)
|
(y&y)
| 0 | 1 | 1 | 0 |
not entailment
|
(y|y)
|
((y>y)>y)
| 1 | 0 | 1 | 0 |
entailment
|
(y>~(((y>(y&~((y&(y>y)))))|((y>y)>y))))
|
~(y)
| 1 | 1 | 1 | 1 |
entailment
|
(y|y)
|
~(y)
| 0 | 1 | 1 | 0 |
not entailment
|
(y>~(((y>(y&~((y&(y>y)))))|((y>y)>y))))
|
((y>y)>y)
| 0 | 1 | 1 | 1 |
not entailment
|
(~(~((y&(y>y))))&y)
|
(y|~((((y&y)|y)>y)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(~(~(y)))|~((y|y)))
|
((y|(y|y))>((((y>y)>y)>(y>~(y)))&y))
| 1 | 0 | 1 | 0 |
entailment
|
(~(~((y&(y>y))))&y)
|
((y|(y|y))>((((y>y)>y)>(y>~(y)))&y))
| 0 | 0 | 1 | 1 |
not entailment
|
(~(~(~(y)))|~((y|y)))
|
(y|~((((y&y)|y)>y)))
| 0 | 1 | 1 | 0 |
not entailment
|
(((v>v)|(b>x))&(((~(~(h))&q)>x)>(h&b)))
|
(b>~(~((b>(q|h)))))
| 1 | 1 | 1 | 1 |
entailment
|
~(~((x&(v|v))))
|
~(~((v|(~((~(x)|q))>~(~(v))))))
| 1 | 0 | 0 | 0 |
entailment
|
(((v>v)|(b>x))&(((~(~(h))&q)>x)>(h&b)))
|
~(~((v|(~((~(x)|q))>~(~(v))))))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~((x&(v|v))))
|
(b>~(~((b>(q|h)))))
| 0 | 0 | 0 | 0 |
not entailment
|
(q&((b>q)&x))
|
((~(v)&h)>((q>x)&(x|v)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~((b&h)))
|
~(((x&q)&~((v|(q>b)))))
| 1 | 0 | 0 | 0 |
entailment
|
(q&((b>q)&x))
|
~(((x&q)&~((v|(q>b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((b&h)))
|
((~(v)&h)>((q>x)&(x|v)))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((((q>(v>h))>v)&q))&q)
|
((((h>b)&h)&(q>v))>(v&q))
| 1 | 1 | 0 | 0 |
entailment
|
((((v>v)>v)>h)>(x&b))
|
(q>~((~((v|x))&(b>(b&x)))))
| 1 | 0 | 0 | 0 |
entailment
|
(~((((q>(v>h))>v)&q))&q)
|
(q>~((~((v|x))&(b>(b&x)))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((v>v)>v)>h)>(x&b))
|
((((h>b)&h)&(q>v))>(v&q))
| 0 | 0 | 0 | 0 |
not entailment
|
((q>x)&(((h>(h|h))>v)&~(~((x&(v>b))))))
|
(((x&x)|(v&x))|~(((v>q)|q)))
| 1 | 1 | 1 | 1 |
entailment
|
~(((~(x)>(q|v))|(b>q)))
|
(~((h>b))|~(x))
| 1 | 1 | 0 | 0 |
entailment
|
((q>x)&(((h>(h|h))>v)&~(~((x&(v>b))))))
|
(~((h>b))|~(x))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(x)>(q|v))|(b>q)))
|
(((x&x)|(v&x))|~(((v>q)|q)))
| 0 | 0 | 1 | 0 |
not entailment
|
~(((v>~((q&q)))|~(v)))
|
((~(h)&x)|(~(q)>(((b>v)|h)&b)))
| 1 | 0 | 0 | 0 |
entailment
|
(v>(x&(h>(b&x))))
|
((b|(h&q))|(v>x))
| 1 | 1 | 0 | 0 |
entailment
|
~(((v>~((q&q)))|~(v)))
|
((b|(h&q))|(v>x))
| 0 | 1 | 0 | 0 |
not entailment
|
(v>(x&(h>(b&x))))
|
((~(h)&x)|(~(q)>(((b>v)|h)&b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((q>x)>~(b))>(b&b))
|
((b&b)|(v|(x|(h&(h&~((v>((h|b)>b))))))))
| 1 | 0 | 0 | 0 |
entailment
|
(~(x)&(x|~((b|v))))
|
((x&(b>b))>(h>q))
| 1 | 1 | 0 | 0 |
entailment
|
(((q>x)>~(b))>(b&b))
|
((x&(b>b))>(h>q))
| 0 | 1 | 0 | 0 |
not entailment
|
(~(x)&(x|~((b|v))))
|
((b&b)|(v|(x|(h&(h&~((v>((h|b)>b))))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((((x>h)|b)|(~(((q|q)>q))|x))&(q&b))
|
~(((((q>q)>x)|(h>v))&~((q|(x>b)))))
| 1 | 1 | 0 | 0 |
entailment
|
((((h|h)&~(h))|(v|v))&((b|~(b))&(h|q)))
|
((~(~((h|v)))&b)|~(b))
| 1 | 1 | 1 | 1 |
entailment
|
((((x>h)|b)|(~(((q|q)>q))|x))&(q&b))
|
((~(~((h|v)))&b)|~(b))
| 0 | 1 | 0 | 0 |
not entailment
|
((((h|h)&~(h))|(v|v))&((b|~(b))&(h|q)))
|
~(((((q>q)>x)|(h>v))&~((q|(x>b)))))
| 0 | 1 | 0 | 0 |
not entailment
|
(v|(((x>h)&(~(~(q))&q))&h))
|
(v|(h>q))
| 1 | 1 | 1 | 0 |
entailment
|
~(((~(b)>(v|x))>((b&h)|v)))
|
((q|v)>q)
| 1 | 1 | 0 | 0 |
entailment
|
(v|(((x>h)&(~(~(q))&q))&h))
|
((q|v)>q)
| 0 | 1 | 1 | 0 |
not entailment
|
~(((~(b)>(v|x))>((b&h)|v)))
|
(v|(h>q))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(((h>((v&v)&x))|v)&(v>~(h))))
|
(b|~(((~(b)>v)&v)))
| 1 | 1 | 1 | 0 |
entailment
|
((((h|q)&~(b))>(b>(v>x)))>(x&(v&x)))
|
((x|(h&q))|(x|(h&v)))
| 1 | 1 | 1 | 1 |
entailment
|
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