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 |
|---|---|---|---|---|---|---|
~((~(~(~(((t>h)>(g>v)))))>t)) | (g|~(~(t))) | 1 | 1 | 1 | 0 | entailment |
(q&(((t|q)&j)|(m|(v&m)))) | (q|~(m)) | 1 | 1 | 1 | 0 | entailment |
~((~(~(~(((t>h)>(g>v)))))>t)) | (q|~(m)) | 0 | 1 | 0 | 0 | not entailment |
(q&(((t|q)&j)|(m|(v&m)))) | (g|~(~(t))) | 0 | 1 | 0 | 0 | not entailment |
~(((~((h|q))|t)|(j>(q&j)))) | (j&(((q>~(q))&(h|j))&j)) | 1 | 1 | 1 | 1 | entailment |
(q&j) | (g|((v&(j|t))>q)) | 1 | 0 | 0 | 0 | entailment |
~(((~((h|q))|t)|(j>(q&j)))) | (g|((v&(j|t))>q)) | 0 | 1 | 0 | 0 | not entailment |
(q&j) | (j&(((q>~(q))&(h|j))&j)) | 0 | 0 | 0 | 0 | not entailment |
~(((g>(v|v))|~(~((t|t))))) | ((~(((v>g)|~((h|q))))>(q|(j&(h>h))))|g) | 1 | 0 | 0 | 0 | entailment |
(((g|~(j))>((j>j)>((g&q)>q)))>(m&(m|g))) | (~(~((t>(h|m))))&m) | 1 | 1 | 0 | 0 | entailment |
~(((g>(v|v))|~(~((t|t))))) | (~(~((t>(h|m))))&m) | 0 | 1 | 0 | 0 | not entailment |
(((g|~(j))>((j>j)>((g&q)>q)))>(m&(m|g))) | ((~(((v>g)|~((h|q))))>(q|(j&(h>h))))|g) | 0 | 1 | 0 | 0 | not entailment |
((v&((j|j)|v))&(m|v)) | ((t>((g&v)|(j|(g|(~(~(g))|q)))))|v) | 1 | 0 | 0 | 0 | entailment |
(~((~((v|(((v>t)>t)|q)))&j))&t) | (j>t) | 1 | 1 | 1 | 1 | entailment |
((v&((j|j)|v))&(m|v)) | (j>t) | 0 | 1 | 0 | 0 | not entailment |
(~((~((v|(((v>t)>t)|q)))&j))&t) | ((t>((g&v)|(j|(g|(~(~(g))|q)))))|v) | 0 | 0 | 0 | 0 | not entailment |
((q&(~(g)|(t&v)))|j) | (((~(~(t))|((v|q)>t))|(q|j))&((v&j)>j)) | 1 | 0 | 1 | 0 | entailment |
(h&v) | ((t>(g|v))|((~(v)&(h|m))&~((~(m)&h)))) | 1 | 0 | 0 | 0 | entailment |
((q&(~(g)|(t&v)))|j) | ((t>(g|v))|((~(v)&(h|m))&~((~(m)&h)))) | 0 | 0 | 0 | 0 | not entailment |
(h&v) | (((~(~(t))|((v|q)>t))|(q|j))&((v&j)>j)) | 0 | 0 | 0 | 0 | not entailment |
(h&t) | ((t|g)&((h&h)|~((t&m)))) | 1 | 0 | 0 | 0 | entailment |
((q&h)&q) | (((g>(q&j))>(t>q))|(~(g)&q)) | 1 | 0 | 0 | 0 | entailment |
(h&t) | (((g>(q&j))>(t>q))|(~(g)&q)) | 0 | 0 | 0 | 0 | not entailment |
((q&h)&q) | ((t|g)&((h&h)|~((t&m)))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(q)>~((m|v)))|h)) | (q>h) | 1 | 1 | 1 | 0 | entailment |
((j>j)>j) | ((j&g)|((g>~(~((m|t))))|(v>~(~(m))))) | 1 | 0 | 0 | 0 | entailment |
~(((~(q)>~((m|v)))|h)) | ((j&g)|((g>~(~((m|t))))|(v>~(~(m))))) | 0 | 0 | 0 | 0 | not entailment |
((j>j)>j) | (q>h) | 0 | 1 | 0 | 0 | not entailment |
((g|~((h&((g&(t>t))&(m|((h>m)>v))))))>t) | (((q&(q&g))|~((h|v)))|((m|v)|t)) | 1 | 1 | 0 | 0 | entailment |
~(((((m>h)|((j|g)&j))&j)|(t|g))) | ((~(~(v))>(~(g)|~(~((h&v)))))|h) | 1 | 0 | 0 | 0 | entailment |
((g|~((h&((g&(t>t))&(m|((h>m)>v))))))>t) | ((~(~(v))>(~(g)|~(~((h&v)))))|h) | 0 | 1 | 1 | 0 | not entailment |
~(((((m>h)|((j|g)&j))&j)|(t|g))) | (((q&(q&g))|~((h|v)))|((m|v)|t)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(h)|~((h&q)))|(((m|q)|t)&(j>v)))) | ((((~(t)>t)>(v&t))&~(h))>(h|v)) | 1 | 1 | 1 | 0 | entailment |
(m&q) | ((~((~((j>v))&g))>((q>v)|m))|(j&m)) | 1 | 0 | 0 | 0 | entailment |
~(((~(h)|~((h&q)))|(((m|q)|t)&(j>v)))) | ((~((~((j>v))&g))>((q>v)|m))|(j&m)) | 0 | 1 | 0 | 0 | not entailment |
(m&q) | ((((~(t)>t)>(v&t))&~(h))>(h|v)) | 0 | 0 | 0 | 0 | not entailment |
(r&~((x&e))) | (((~(x)>~(~(x)))>x)&r) | 1 | 0 | 1 | 0 | entailment |
~(~(((h&h)&(d&((k|(k|v))|h))))) | (d>h) | 1 | 1 | 1 | 0 | entailment |
(r&~((x&e))) | (d>h) | 0 | 1 | 0 | 0 | not entailment |
~(~(((h&h)&(d&((k|(k|v))|h))))) | (((~(x)>~(~(x)))>x)&r) | 0 | 1 | 0 | 0 | not entailment |
~((k&(k|d))) | ~((d&(k&r))) | 1 | 1 | 0 | 0 | entailment |
~(h) | ((x|~(k))>(~(~((x|(t|x))))>~(h))) | 1 | 0 | 0 | 0 | entailment |
~((k&(k|d))) | ((x|~(k))>(~(~((x|(t|x))))>~(h))) | 0 | 0 | 0 | 0 | not entailment |
~(h) | ~((d&(k&r))) | 0 | 0 | 0 | 0 | not entailment |
(k&(~((d>~(k)))&(d|~(x)))) | (((v&t)&((r>r)>r))>d) | 1 | 1 | 0 | 0 | entailment |
~(~(((v>(t|(k>v)))&((e&r)|~(t))))) | (r|~(t)) | 1 | 1 | 1 | 1 | entailment |
(k&(~((d>~(k)))&(d|~(x)))) | (r|~(t)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((v>(t|(k>v)))&((e&r)|~(t))))) | (((v&t)&((r>r)>r))>d) | 0 | 1 | 0 | 0 | not entailment |
(x&~(((r|t)|~(~((r&e)))))) | ~(((~(h)&~(h))&t)) | 1 | 1 | 0 | 0 | entailment |
~(((r|v)>~((((e&x)&((k|r)|v))&d)))) | (~((((x>r)|v)&k))>d) | 1 | 1 | 1 | 0 | entailment |
(x&~(((r|t)|~(~((r&e)))))) | (~((((x>r)|v)&k))>d) | 0 | 1 | 0 | 0 | not entailment |
~(((r|v)>~((((e&x)&((k|r)|v))&d)))) | ~(((~(h)&~(h))&t)) | 0 | 1 | 0 | 0 | not entailment |
(((d|e)&x)&(t|t)) | (t|x) | 1 | 1 | 1 | 1 | entailment |
(h|((t|d)&d)) | ((v|d)|(r>(h|v))) | 1 | 0 | 0 | 0 | entailment |
(((d|e)&x)&(t|t)) | ((v|d)|(r>(h|v))) | 0 | 1 | 0 | 0 | not entailment |
(h|((t|d)&d)) | (t|x) | 0 | 1 | 0 | 0 | not entailment |
~(~((((r|d)>x)>((h&(t&(k|d)))|(t&r))))) | ~((~((v|t))&x)) | 1 | 1 | 0 | 0 | entailment |
(x|(x|x)) | ((x|(~(~(h))|h))|k) | 1 | 0 | 0 | 0 | entailment |
~(~((((r|d)>x)>((h&(t&(k|d)))|(t&r))))) | ((x|(~(~(h))|h))|k) | 0 | 1 | 1 | 0 | not entailment |
(x|(x|x)) | ~((~((v|t))&x)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~(d)))&(t&r)) | ~(~(t)) | 1 | 1 | 1 | 1 | entailment |
((x&d)&~(v)) | (h|((~((r&(h&t)))>((v&k)|~((v>v))))|d)) | 1 | 0 | 0 | 0 | entailment |
(~(~(~(d)))&(t&r)) | (h|((~((r&(h&t)))>((v&k)|~((v>v))))|d)) | 0 | 0 | 0 | 0 | not entailment |
((x&d)&~(v)) | ~(~(t)) | 0 | 1 | 0 | 0 | not entailment |
(~((x&e))&h) | ((x&((v|h)>t))>(v|(r>t))) | 1 | 0 | 0 | 0 | entailment |
(r&(k&(k>k))) | (t|(h>k)) | 1 | 1 | 0 | 0 | entailment |
(~((x&e))&h) | (t|(h>k)) | 0 | 1 | 0 | 0 | not entailment |
(r&(k&(k>k))) | ((x&((v|h)>t))>(v|(r>t))) | 0 | 0 | 0 | 0 | not entailment |
((e&(h&~(v)))&(e&h)) | (t>~((((e|v)&~(~((x>k))))&v))) | 1 | 0 | 0 | 0 | entailment |
((((e&d)|(v>e))|(x|x))&((x&d)&t)) | ((e>d)|(k>(k&x))) | 1 | 1 | 0 | 0 | entailment |
((e&(h&~(v)))&(e&h)) | ((e>d)|(k>(k&x))) | 0 | 1 | 0 | 0 | not entailment |
((((e&d)|(v>e))|(x|x))&((x&d)&t)) | (t>~((((e|v)&~(~((x>k))))&v))) | 0 | 1 | 0 | 0 | not entailment |
(~((t|h))&(((k>r)|e)>t)) | (((v&k)>(x>x))&~(h)) | 1 | 1 | 0 | 0 | entailment |
(d&v) | ((r|d)|((~(v)&(t|k))&(((v&x)|t)&e))) | 1 | 0 | 0 | 0 | entailment |
(~((t|h))&(((k>r)|e)>t)) | ((r|d)|((~(v)&(t|k))&(((v&x)|t)&e))) | 0 | 0 | 0 | 0 | not entailment |
(d&v) | (((v&k)>(x>x))&~(h)) | 0 | 0 | 0 | 0 | not entailment |
(e|e) | (((k|(t|k))|(x&h))|(d>e)) | 1 | 0 | 0 | 0 | entailment |
~((r|r)) | ((k&r)>(t>~(e))) | 1 | 0 | 0 | 0 | entailment |
(e|e) | ((k&r)>(t>~(e))) | 0 | 0 | 0 | 0 | not entailment |
~((r|r)) | (((k|(t|k))|(x&h))|(d>e)) | 0 | 0 | 0 | 0 | not entailment |
(t&e) | (d|(((r>d)|r)>e)) | 1 | 0 | 0 | 0 | entailment |
~(((k|d)|(e&~((e>(d&k)))))) | (~((((h>d)&(d|h))&~(r)))|v) | 1 | 1 | 0 | 0 | entailment |
(t&e) | (~((((h>d)&(d|h))&~(r)))|v) | 0 | 0 | 0 | 0 | not entailment |
~(((k|d)|(e&~((e>(d&k)))))) | (d|(((r>d)|r)>e)) | 0 | 1 | 0 | 0 | not entailment |
~((~((((d&d)|~(v))&t))|(x|k))) | ((h|(d&(x&e)))>((r>t)|d)) | 1 | 1 | 0 | 0 | entailment |
~(e) | ((h&((e&h)|e))|~(e)) | 1 | 0 | 0 | 0 | entailment |
~((~((((d&d)|~(v))&t))|(x|k))) | ((h&((e&h)|e))|~(e)) | 0 | 1 | 0 | 0 | not entailment |
~(e) | ((h|(d&(x&e)))>((r>t)|d)) | 0 | 0 | 0 | 0 | not entailment |
(t&~((~((x&(r|t)))|(e&(t>e))))) | ~(~(((~((v|h))>e)>(k|t)))) | 1 | 1 | 0 | 0 | entailment |
((r>h)>r) | (r&((h|((e>h)>k))>(k>(r|x)))) | 1 | 0 | 0 | 0 | entailment |
(t&~((~((x&(r|t)))|(e&(t>e))))) | (r&((h|((e>h)>k))>(k>(r|x)))) | 0 | 1 | 0 | 0 | not entailment |
((r>h)>r) | ~(~(((~((v|h))>e)>(k|t)))) | 0 | 0 | 0 | 0 | not entailment |
((h&(v&~(x)))&(v|k)) | ~(((t|v)&~((h|e)))) | 1 | 1 | 0 | 0 | entailment |
(~((d>(v&v)))&(h>t)) | (t>((v&d)|d)) | 1 | 1 | 1 | 0 | entailment |
((h&(v&~(x)))&(v|k)) | (t>((v&d)|d)) | 0 | 1 | 0 | 0 | not entailment |
(~((d>(v&v)))&(h>t)) | ~(((t|v)&~((h|e)))) | 0 | 1 | 0 | 0 | not entailment |
(((l&l)|l)|(~(((h>l)|(h|l)))|l)) | ((~(l)|~((h|h)))>(h|(l|l))) | 1 | 1 | 1 | 1 | entailment |
(~((h>~((h&l))))|~((l&l))) | ((l>h)|h) | 1 | 1 | 1 | 1 | entailment |
(((l&l)|l)|(~(((h>l)|(h|l)))|l)) | ((l>h)|h) | 0 | 1 | 1 | 1 | not entailment |
(~((h>~((h&l))))|~((l&l))) | ((~(l)|~((h|h)))>(h|(l|l))) | 0 | 1 | 1 | 1 | not entailment |
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