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 |
|---|---|---|---|---|---|---|
(~((s|~(((a&e)&r))))&(e|((r>j)&k))) | (j|e) | 1 | 1 | 1 | 1 | entailment |
(~(((s|(a&(e&s)))|(k>k)))|(y&s)) | (j|(s&(s|k))) | 1 | 1 | 0 | 0 | entailment |
(~((s|~(((a&e)&r))))&(e|((r>j)&k))) | (j|(s&(s|k))) | 0 | 1 | 1 | 0 | not entailment |
(~(((s|(a&(e&s)))|(k>k)))|(y&s)) | (j|e) | 0 | 1 | 0 | 0 | not entailment |
(e&(e>(s>y))) | ~((((~(a)|(y>~(s)))|(k>k))&~(e))) | 1 | 0 | 0 | 0 | entailment |
~((s|(~(e)>(a>y)))) | ~((e&(y&~(r)))) | 1 | 1 | 0 | 0 | entailment |
(e&(e>(s>y))) | ~((e&(y&~(r)))) | 0 | 0 | 0 | 0 | not entailment |
~((s|(~(e)>(a>y)))) | ~((((~(a)|(y>~(s)))|(k>k))&~(e))) | 0 | 0 | 0 | 0 | not entailment |
(y&(j&(e>~(k)))) | (((a>(k&r))>~(y))>(((s|r)>(a&a))|e)) | 1 | 0 | 0 | 0 | entailment |
(~(~(k))&((~(s)|e)>r)) | (~(k)>e) | 1 | 1 | 1 | 0 | entailment |
(y&(j&(e>~(k)))) | (~(k)>e) | 0 | 1 | 1 | 0 | not entailment |
(~(~(k))&((~(s)|e)>r)) | (((a>(k&r))>~(y))>(((s|r)>(a&a))|e)) | 0 | 0 | 0 | 0 | not entailment |
(~(((a>k)|(s>y)))&~((k|r))) | (((s&~(j))&a)|(j|r)) | 1 | 1 | 0 | 0 | entailment |
~(((~(s)>~(((e|s)>r)))|e)) | ~((~((((s|s)|(e|e))&j))>e)) | 1 | 1 | 0 | 0 | entailment |
(~(((a>k)|(s>y)))&~((k|r))) | ~((~((((s|s)|(e|e))&j))>e)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(s)>~(((e|s)>r)))|e)) | (((s&~(j))&a)|(j|r)) | 0 | 1 | 0 | 0 | not entailment |
(a&j) | (~(~(((k&(a|r))|j)))|y) | 1 | 0 | 0 | 0 | entailment |
(a&s) | (((s&s)>(a&~(k)))>(e>((k&j)>s))) | 1 | 0 | 0 | 0 | entailment |
(a&j) | (((s&s)>(a&~(k)))>(e>((k&j)>s))) | 0 | 0 | 0 | 0 | not entailment |
(a&s) | (~(~(((k&(a|r))|j)))|y) | 0 | 0 | 0 | 0 | not entailment |
(a&y) | ((a|~(j))&(~(y)|a)) | 1 | 0 | 0 | 0 | entailment |
(k|(j&~((s>(a>j))))) | ((j&j)|((((r&y)>r)&r)>k)) | 1 | 0 | 0 | 0 | entailment |
(a&y) | ((j&j)|((((r&y)>r)&r)>k)) | 0 | 0 | 0 | 0 | not entailment |
(k|(j&~((s>(a>j))))) | ((a|~(j))&(~(y)|a)) | 0 | 1 | 0 | 0 | not entailment |
(((a>k)&(e&s))&k) | (((k|(y>j))>r)|(k|y)) | 1 | 0 | 0 | 0 | entailment |
~(((s&(s|k))|e)) | ~((e&s)) | 1 | 1 | 1 | 1 | entailment |
(((a>k)&(e&s))&k) | ~((e&s)) | 0 | 1 | 1 | 0 | not entailment |
~(((s&(s|k))|e)) | (((k|(y>j))>r)|(k|y)) | 0 | 0 | 0 | 0 | not entailment |
(s&~(j)) | (((j>(e|s))|(y|y))|(e&~((r>(a>a))))) | 1 | 0 | 0 | 0 | entailment |
(~(y)&r) | (~(~(r))|y) | 1 | 0 | 1 | 0 | entailment |
(s&~(j)) | (~(~(r))|y) | 0 | 0 | 0 | 0 | not entailment |
(~(y)&r) | (((j>(e|s))|(y|y))|(e&~((r>(a>a))))) | 0 | 0 | 0 | 0 | not entailment |
~((s>k)) | ((y>s)|((~(s)&k)|k)) | 1 | 0 | 0 | 0 | entailment |
((y>~(~(a)))>j) | ((e>~(y))>(e>((j&(s|e))|(k|j)))) | 1 | 0 | 0 | 0 | entailment |
~((s>k)) | ((e>~(y))>(e>((j&(s|e))|(k|j)))) | 0 | 0 | 0 | 0 | not entailment |
((y>~(~(a)))>j) | ((y>s)|((~(s)&k)|k)) | 0 | 0 | 0 | 0 | not entailment |
((a>a)>~((((e&(~(r)&~(a)))&k)>(r&s)))) | (((s>j)>~(((j>r)&(k>r))))&((~(r)>k)>e)) | 1 | 1 | 0 | 0 | entailment |
(k&(s&r)) | (~(~(~(j)))>(s&(s&r))) | 1 | 0 | 0 | 0 | entailment |
((a>a)>~((((e&(~(r)&~(a)))&k)>(r&s)))) | (~(~(~(j)))>(s&(s&r))) | 0 | 1 | 0 | 0 | not entailment |
(k&(s&r)) | (((s>j)>~(((j>r)&(k>r))))&((~(r)>k)>e)) | 0 | 0 | 0 | 0 | not entailment |
(~(~(j))&(s|k)) | (~(~(((e>(j&e))|~(k))))>(j|k)) | 1 | 0 | 0 | 0 | entailment |
~(((k|j)|((e&r)>~(y)))) | (((y&(a>s))|a)&((y&(~(j)|~((a>a))))|e)) | 1 | 0 | 0 | 0 | entailment |
(~(~(j))&(s|k)) | (((y&(a>s))|a)&((y&(~(j)|~((a>a))))|e)) | 0 | 0 | 0 | 0 | not entailment |
~(((k|j)|((e&r)>~(y)))) | (~(~(((e>(j&e))|~(k))))>(j|k)) | 0 | 0 | 1 | 0 | not entailment |
((((e>k)>(k&j))>k)&k) | (~(k)>e) | 1 | 1 | 1 | 0 | entailment |
(y&s) | ~((j&~(s))) | 1 | 0 | 0 | 0 | entailment |
((((e>k)>(k&j))>k)&k) | ~((j&~(s))) | 0 | 1 | 0 | 0 | not entailment |
(y&s) | (~(k)>e) | 0 | 0 | 0 | 0 | not entailment |
(y&(~((a&~(s)))|k)) | ~((~(((a&s)>y))&((r>k)>(~((k>e))>j)))) | 1 | 0 | 0 | 0 | entailment |
(((s&e)>k)>~((((e>j)>((a|j)|j))|r))) | ((((j>(r>r))|s)>(k&(j|j)))>(y&(k>s))) | 1 | 1 | 0 | 0 | entailment |
(y&(~((a&~(s)))|k)) | ((((j>(r>r))|s)>(k&(j|j)))>(y&(k>s))) | 0 | 0 | 0 | 0 | not entailment |
(((s&e)>k)>~((((e>j)>((a|j)|j))|r))) | ~((~(((a&s)>y))&((r>k)>(~((k>e))>j)))) | 0 | 0 | 0 | 0 | not entailment |
((e>g)>~((~((((w&u)>q)|(x|g)))>(q&e)))) | (g>w) | 1 | 1 | 1 | 1 | entailment |
~((~(x)>((w|m)>(u|((z|d)&x))))) | (~((~((d>m))&x))|m) | 1 | 1 | 1 | 1 | entailment |
((e>g)>~((~((((w&u)>q)|(x|g)))>(q&e)))) | (~((~((d>m))&x))|m) | 0 | 1 | 0 | 0 | not entailment |
~((~(x)>((w|m)>(u|((z|d)&x))))) | (g>w) | 0 | 1 | 0 | 0 | not entailment |
~((~((u&q))|(e|((g&q)>((q>x)&w))))) | ~((e&z)) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((((m>g)>m)&x)>~(d))))) | (((u>d)|(u>(u&(x|(z&d)))))|(w|x)) | 1 | 1 | 0 | 0 | entailment |
~((~((u&q))|(e|((g&q)>((q>x)&w))))) | (((u>d)|(u>(u&(x|(z&d)))))|(w|x)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(((((m>g)>m)&x)>~(d))))) | ~((e&z)) | 0 | 1 | 0 | 0 | not entailment |
(x>(~(w)&~(z))) | ((w&(d&d))>((z&g)>(x>u))) | 1 | 0 | 0 | 0 | entailment |
((e|e)&g) | (~(e)|((x|(u&q))|g)) | 1 | 0 | 0 | 0 | entailment |
(x>(~(w)&~(z))) | (~(e)|((x|(u&q))|g)) | 0 | 0 | 0 | 0 | not entailment |
((e|e)&g) | ((w&(d&d))>((z&g)>(x>u))) | 0 | 0 | 0 | 0 | not entailment |
~(~(e)) | (~(d)|((z|u)>(e|(m>x)))) | 1 | 0 | 0 | 0 | entailment |
~(((e|x)&((d&w)>w))) | (e>((~(~((w|(~(w)&x))))&(z|w))&e)) | 1 | 0 | 0 | 0 | entailment |
~(~(e)) | (e>((~(~((w|(~(w)&x))))&(z|w))&e)) | 0 | 0 | 0 | 0 | not entailment |
~(((e|x)&((d&w)>w))) | (~(d)|((z|u)>(e|(m>x)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((w|((~((e>e))|q)>d)))>d)) | (u>(~(d)|~(((e|e)>((e>(x>~(z)))&q))))) | 1 | 0 | 0 | 0 | entailment |
(m>((z&~((e>g)))&e)) | (~(m)|~(g)) | 1 | 1 | 1 | 1 | entailment |
~((~((w|((~((e>e))|q)>d)))>d)) | (~(m)|~(g)) | 0 | 1 | 0 | 0 | not entailment |
(m>((z&~((e>g)))&e)) | (u>(~(d)|~(((e|e)>((e>(x>~(z)))&q))))) | 0 | 0 | 0 | 0 | not entailment |
(m&~((x|u))) | ~((x&m)) | 1 | 1 | 1 | 0 | entailment |
(~(g)&~(((m&e)>g))) | ~((((x>q)&~(e))|(g&m))) | 1 | 0 | 0 | 0 | entailment |
(m&~((x|u))) | ~((((x>q)&~(e))|(g&m))) | 0 | 0 | 0 | 0 | not entailment |
(~(g)&~(((m&e)>g))) | ~((x&m)) | 0 | 1 | 0 | 0 | not entailment |
~((w|~((q|(w&x))))) | ((x&(q&w))>(x&~((x|(x>w))))) | 1 | 0 | 1 | 0 | entailment |
~((~(~((z>e)))|g)) | (~(~(~(((e|((x>(x&x))>x))>d))))>x) | 1 | 0 | 0 | 0 | entailment |
~((w|~((q|(w&x))))) | (~(~(~(((e|((x>(x&x))>x))>d))))>x) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((z>e)))|g)) | ((x&(q&w))>(x&~((x|(x>w))))) | 0 | 0 | 0 | 0 | not entailment |
~(((d&(z&(q&~(x))))>~(((g&g)|q)))) | (~((~((w&x))>d))>(q&(u>g))) | 1 | 1 | 0 | 0 | entailment |
(~(~(~(g)))&w) | ~((((g|u)&g)&(~(d)|d))) | 1 | 0 | 0 | 0 | entailment |
~(((d&(z&(q&~(x))))>~(((g&g)|q)))) | ~((((g|u)&g)&(~(d)|d))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(g)))&w) | (~((~((w&x))>d))>(q&(u>g))) | 0 | 0 | 0 | 0 | not entailment |
((w>(w&q))&(u&q)) | ((w&w)>((((z>u)&(m|w))|u)>(~(q)|(x|u)))) | 1 | 0 | 0 | 0 | entailment |
~((z&(m|~(g)))) | ((z>e)|((x&m)>~((u>((m|e)&x))))) | 1 | 0 | 0 | 0 | entailment |
((w>(w&q))&(u&q)) | ((z>e)|((x&m)>~((u>((m|e)&x))))) | 0 | 0 | 0 | 0 | not entailment |
~((z&(m|~(g)))) | ((w&w)>((((z>u)&(m|w))|u)>(~(q)|(x|u)))) | 0 | 0 | 0 | 0 | not entailment |
((w>(q&(((x&q)>(x|m))&(~(d)&(x&u)))))&w) | ((((x|d)&e)>~(~(d)))>((m>w)&(u&w))) | 1 | 1 | 0 | 0 | entailment |
(((z|d)&g)&e) | (u>g) | 1 | 1 | 0 | 0 | entailment |
((w>(q&(((x&q)>(x|m))&(~(d)&(x&u)))))&w) | (u>g) | 0 | 1 | 0 | 0 | not entailment |
(((z|d)&g)&e) | ((((x|d)&e)>~(~(d)))>((m>w)&(u&w))) | 0 | 0 | 0 | 0 | not entailment |
((((z|e)&x)&(z&e))&(~(m)|q)) | ~(~((z|(g&(u>m))))) | 1 | 1 | 0 | 0 | entailment |
((e>(m&e))&~((x|~(((e|x)&e))))) | ((q|(e>u))>(m|(u&q))) | 1 | 1 | 0 | 0 | entailment |
((((z|e)&x)&(z&e))&(~(m)|q)) | ((q|(e>u))>(m|(u&q))) | 0 | 1 | 0 | 0 | not entailment |
((e>(m&e))&~((x|~(((e|x)&e))))) | ~(~((z|(g&(u>m))))) | 0 | 1 | 0 | 0 | not entailment |
((z&e)&m) | ~(~((g>(((d|e)|x)>m)))) | 1 | 0 | 0 | 0 | entailment |
~((z|(d>w))) | (~(~(((x|g)&((g|e)>g))))>d) | 1 | 0 | 0 | 0 | entailment |
((z&e)&m) | (~(~(((x|g)&((g|e)>g))))>d) | 0 | 0 | 0 | 0 | not entailment |
~((z|(d>w))) | ~(~((g>(((d|e)|x)>m)))) | 0 | 0 | 0 | 0 | not entailment |
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