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 |
|---|---|---|---|---|---|---|
((u&h)&(p>p)) | ~(~((u|(((x&x)|(~(b)&p))>f)))) | 1 | 0 | 0 | 0 | entailment |
~(((((h&h)&b)|t)&t)) | ((t&~(p))>((u&u)>(x&(x&x)))) | 1 | 0 | 0 | 0 | entailment |
((u&h)&(p>p)) | ((t&~(p))>((u&u)>(x&(x&x)))) | 0 | 0 | 0 | 0 | not entailment |
~(((((h&h)&b)|t)&t)) | ~(~((u|(((x&x)|(~(b)&p))>f)))) | 0 | 0 | 0 | 0 | not entailment |
((~((t|b))>p)&(~(t)&u)) | ((~(t)|f)|~((t&u))) | 1 | 1 | 0 | 0 | entailment |
~((f&((h>(x|h))|h))) | ((f&(~(b)>t))>(h&w)) | 1 | 1 | 0 | 0 | entailment |
((~((t|b))>p)&(~(t)&u)) | ((f&(~(b)>t))>(h&w)) | 0 | 1 | 0 | 0 | not entailment |
~((f&((h>(x|h))|h))) | ((~(t)|f)|~((t&u))) | 0 | 1 | 0 | 0 | not entailment |
~(((t>e)|~((c>~(c))))) | ~((c&~(b))) | 1 | 1 | 0 | 0 | entailment |
~((~(w)|k)) | ((b>x)|(c|~(k))) | 1 | 0 | 0 | 0 | entailment |
~(((t>e)|~((c>~(c))))) | ((b>x)|(c|~(k))) | 0 | 1 | 0 | 0 | not entailment |
~((~(w)|k)) | ~((c&~(b))) | 0 | 1 | 0 | 0 | not entailment |
(w&b) | ((((e>t)|g)|(x|w))|(b|(z|(g|k)))) | 1 | 0 | 0 | 0 | entailment |
~(t) | (~(b)|~((((c>((t&x)>z))>w)&t))) | 1 | 0 | 0 | 0 | entailment |
(w&b) | (~(b)|~((((c>((t&x)>z))>w)&t))) | 0 | 0 | 0 | 0 | not entailment |
~(t) | ((((e>t)|g)|(x|w))|(b|(z|(g|k)))) | 0 | 0 | 0 | 0 | not entailment |
((~(~(((e&c)&(b|x))))>~(b))>(g&w)) | ((w|c)|w) | 1 | 1 | 1 | 1 | entailment |
(b&(e&g)) | (~(((~(e)>t)&~((z&x))))|(x|g)) | 1 | 0 | 0 | 0 | entailment |
((~(~(((e&c)&(b|x))))>~(b))>(g&w)) | (~(((~(e)>t)&~((z&x))))|(x|g)) | 0 | 1 | 0 | 0 | not entailment |
(b&(e&g)) | ((w|c)|w) | 0 | 1 | 0 | 0 | not entailment |
(~(w)>((((w|k)&x)&(z&w))&e)) | (((g>w)>w)|((z&~(e))&((e|e)|w))) | 1 | 0 | 0 | 0 | entailment |
(b&x) | ((((e>x)>t)&(c|(c|z)))|b) | 1 | 0 | 0 | 0 | entailment |
(~(w)>((((w|k)&x)&(z&w))&e)) | ((((e>x)>t)&(c|(c|z)))|b) | 0 | 1 | 0 | 0 | not entailment |
(b&x) | (((g>w)>w)|((z&~(e))&((e|e)|w))) | 0 | 0 | 0 | 0 | not entailment |
(((g&g)>c)&((x&(~(g)&k))&w)) | (((~(e)|~(z))&k)>x) | 1 | 1 | 0 | 0 | entailment |
((~(c)&z)>c) | (~((z|c))|(k>c)) | 1 | 0 | 0 | 0 | entailment |
(((g&g)>c)&((x&(~(g)&k))&w)) | (~((z|c))|(k>c)) | 0 | 1 | 0 | 0 | not entailment |
((~(c)&z)>c) | (((~(e)|~(z))&k)>x) | 0 | 0 | 0 | 0 | not entailment |
(((c&t)&((g|g)&b))&(t&(g>e))) | (((x&z)|((z>(k>c))|x))|w) | 1 | 1 | 0 | 0 | entailment |
(~((t|(((e>x)|c)|w)))&~((k>w))) | ((x&c)>((x&((w|e)|z))&~(k))) | 1 | 1 | 0 | 0 | entailment |
(((c&t)&((g|g)&b))&(t&(g>e))) | ((x&c)>((x&((w|e)|z))&~(k))) | 0 | 1 | 0 | 0 | not entailment |
(~((t|(((e>x)|c)|w)))&~((k>w))) | (((x&z)|((z>(k>c))|x))|w) | 0 | 1 | 0 | 0 | not entailment |
(e&((e>(e|~((z>z))))>~((k|g)))) | ~((((c&g)&((((e&(z>e))>w)|b)&g))&c)) | 1 | 0 | 0 | 0 | entailment |
((((e|w)|b)|(w>w))&~((z>((z|(c>b))&t)))) | (~((~(e)&e))>(z&z)) | 1 | 1 | 1 | 0 | entailment |
(e&((e>(e|~((z>z))))>~((k|g)))) | (~((~(e)&e))>(z&z)) | 0 | 1 | 1 | 1 | not entailment |
((((e|w)|b)|(w>w))&~((z>((z|(c>b))&t)))) | ~((((c&g)&((((e&(z>e))>w)|b)&g))&c)) | 0 | 1 | 0 | 0 | not entailment |
(((w>c)>~(e))&(~(x)&t)) | ((t>t)&(x>~(((w|t)|(~(b)|(x>b)))))) | 1 | 0 | 0 | 0 | entailment |
((e&~(k))&~(t)) | (k>g) | 1 | 1 | 0 | 0 | entailment |
(((w>c)>~(e))&(~(x)&t)) | (k>g) | 0 | 1 | 0 | 0 | not entailment |
((e&~(k))&~(t)) | ((t>t)&(x>~(((w|t)|(~(b)|(x>b)))))) | 0 | 0 | 0 | 0 | not entailment |
~(((~((z|(x|b)))&k)|~((x&~(g))))) | (b>(w|(g|x))) | 1 | 1 | 0 | 0 | entailment |
(t&c) | (((z>(t|t))|g)&((~(z)>z)|c)) | 1 | 0 | 0 | 0 | entailment |
~(((~((z|(x|b)))&k)|~((x&~(g))))) | (((z>(t|t))|g)&((~(z)>z)|c)) | 0 | 1 | 0 | 0 | not entailment |
(t&c) | (b>(w|(g|x))) | 0 | 0 | 0 | 0 | not entailment |
(b&~((w|z))) | (b|g) | 1 | 1 | 0 | 0 | entailment |
((w|z)&((e&(k>t))|t)) | (((c&k)|(b&~(((c>x)|(g>t)))))>(k|e)) | 1 | 0 | 0 | 0 | entailment |
(b&~((w|z))) | (((c&k)|(b&~(((c>x)|(g>t)))))>(k|e)) | 0 | 0 | 0 | 0 | not entailment |
((w|z)&((e&(k>t))|t)) | (b|g) | 0 | 1 | 0 | 0 | not entailment |
(x&t) | ((((g>b)|b)|t)|z) | 1 | 0 | 0 | 0 | entailment |
(~((z|(~(k)&~((k&~(e))))))&k) | ~(~(((g>e)>((t&z)>(w>e))))) | 1 | 1 | 0 | 0 | entailment |
(x&t) | ~(~(((g>e)>((t&z)>(w>e))))) | 0 | 0 | 0 | 0 | not entailment |
(~((z|(~(k)&~((k&~(e))))))&k) | ((((g>b)|b)|t)|z) | 0 | 1 | 0 | 0 | not entailment |
(w&((((w|~(b))|z)>(z>~(~((t>k)))))&e)) | ~((~((z>(b|w)))&(g&z))) | 1 | 1 | 0 | 0 | entailment |
((~((~((c&b))|e))>t)&~(x)) | ((w&(c&b))>~(~((w>~(x))))) | 1 | 1 | 0 | 0 | entailment |
(w&((((w|~(b))|z)>(z>~(~((t>k)))))&e)) | ((w&(c&b))>~(~((w>~(x))))) | 0 | 1 | 0 | 0 | not entailment |
((~((~((c&b))|e))>t)&~(x)) | ~((~((z>(b|w)))&(g&z))) | 0 | 1 | 0 | 0 | not entailment |
(g&k) | (~(k)>~((x>g))) | 1 | 0 | 0 | 0 | entailment |
((~(w)&(c&e))&~(t)) | (e|(((c&c)>t)|e)) | 1 | 1 | 1 | 0 | entailment |
(g&k) | (e|(((c&c)>t)|e)) | 0 | 0 | 0 | 0 | not entailment |
((~(w)&(c&e))&~(t)) | (~(k)>~((x>g))) | 0 | 1 | 0 | 0 | not entailment |
(x&(~(x)>z)) | ((c|c)|(~((c|z))|(x|((z>k)|w)))) | 1 | 0 | 0 | 0 | entailment |
((((x&g)|z)>(k|z))&~((b>~(e)))) | (~(b)>~(~(((z>(z>g))|g)))) | 1 | 1 | 1 | 0 | entailment |
(x&(~(x)>z)) | (~(b)>~(~(((z>(z>g))|g)))) | 0 | 0 | 0 | 0 | not entailment |
((((x&g)|z)>(k|z))&~((b>~(e)))) | ((c|c)|(~((c|z))|(x|((z>k)|w)))) | 0 | 1 | 0 | 0 | not entailment |
~(((b|(~((b>t))|~(w)))&(b|(t>(g&c))))) | ~((k&(g&b))) | 1 | 1 | 0 | 0 | entailment |
~((~(~(z))|((z|c)|(w>(z&x))))) | ((((k|(z&x))|((b|e)|e))>(z>c))|((g>c)>e)) | 1 | 0 | 0 | 0 | entailment |
~(((b|(~((b>t))|~(w)))&(b|(t>(g&c))))) | ((((k|(z&x))|((b|e)|e))>(z>c))|((g>c)>e)) | 0 | 1 | 0 | 0 | not entailment |
~((~(~(z))|((z|c)|(w>(z&x))))) | ~((k&(g&b))) | 0 | 1 | 0 | 0 | not entailment |
(~((c>x))|(((g|w)|~(g))&((x&w)&b))) | (~(((~(b)>c)>~((c|~((z|(g>e)))))))|b) | 1 | 0 | 0 | 0 | entailment |
((~(w)&c)|(((e&g)|b)&~(w))) | ((w>t)&(c|~(((x&w)&x)))) | 1 | 1 | 0 | 0 | entailment |
(~((c>x))|(((g|w)|~(g))&((x&w)&b))) | ((w>t)&(c|~(((x&w)&x)))) | 0 | 1 | 0 | 0 | not entailment |
((~(w)&c)|(((e&g)|b)&~(w))) | (~(((~(b)>c)>~((c|~((z|(g>e)))))))|b) | 0 | 0 | 0 | 0 | not entailment |
~((k|e)) | (k>(x&g)) | 1 | 1 | 0 | 0 | entailment |
(~(g)&~((x&k))) | (((x&((e>b)>x))>(~((g|e))>(t&k)))>~(g)) | 1 | 0 | 0 | 0 | entailment |
~((k|e)) | (((x&((e>b)>x))>(~((g|e))>(t&k)))>~(g)) | 0 | 0 | 0 | 0 | not entailment |
(~(g)&~((x&k))) | (k>(x&g)) | 0 | 1 | 1 | 0 | not entailment |
(e&b) | ((b|e)|((((((b&(a&b))&h)>e)>b)&~(h))&b)) | 1 | 0 | 0 | 0 | entailment |
((h>(b>h))&a) | (h>a) | 1 | 1 | 1 | 1 | entailment |
(e&b) | (h>a) | 0 | 1 | 0 | 0 | not entailment |
((h>(b>h))&a) | ((b|e)|((((((b&(a&b))&h)>e)>b)&~(h))&b)) | 0 | 0 | 0 | 0 | not entailment |
((((h>a)|b)&b)&(e&(b|e))) | ~(~((~(e)>(b&~(~(~(e))))))) | 1 | 0 | 1 | 0 | entailment |
((((h&(b&e))>a)&(a&(a&(b>(h&b)))))&~(b)) | ((h>b)>(h>a)) | 1 | 1 | 1 | 1 | entailment |
((((h>a)|b)&b)&(e&(b|e))) | ((h>b)>(h>a)) | 0 | 1 | 1 | 0 | not entailment |
((((h&(b&e))>a)&(a&(a&(b>(h&b)))))&~(b)) | ~(~((~(e)>(b&~(~(~(e))))))) | 0 | 1 | 1 | 0 | not entailment |
((a>(a>a))>~(~(h))) | (h|e) | 1 | 1 | 0 | 0 | entailment |
(a&a) | (~(((e|h)|~(~((((e|b)>b)>e)))))|a) | 1 | 0 | 0 | 0 | entailment |
((a>(a>a))>~(~(h))) | (~(((e|h)|~(~((((e|b)>b)>e)))))|a) | 0 | 0 | 0 | 0 | not entailment |
(a&a) | (h|e) | 0 | 1 | 0 | 0 | not entailment |
(~(e)|((h|h)&~(h))) | (~((a|(e>a)))>(h&~((e|(h>h))))) | 1 | 0 | 0 | 0 | entailment |
(~((e>h))&e) | (~(((h&((h&b)>~((b>e))))>(e&b)))>(b&h)) | 1 | 0 | 0 | 0 | entailment |
(~(e)|((h|h)&~(h))) | (~(((h&((h&b)>~((b>e))))>(e&b)))>(b&h)) | 0 | 0 | 0 | 0 | not entailment |
(~((e>h))&e) | (~((a|(e>a)))>(h&~((e|(h>h))))) | 0 | 0 | 0 | 0 | not entailment |
~(~(b)) | (((b|a)|b)|(e|e)) | 1 | 0 | 0 | 0 | entailment |
~(~(((b>((a>h)&(~(a)&a)))&~((b|a))))) | ~((b&e)) | 1 | 1 | 0 | 0 | entailment |
~(~(b)) | ~((b&e)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((b>((a>h)&(~(a)&a)))&~((b|a))))) | (((b|a)|b)|(e|e)) | 0 | 1 | 0 | 0 | not entailment |
((b&(b|((a|h)|b)))&~((e>(h&h)))) | (~(b)|((b>h)>a)) | 1 | 1 | 1 | 0 | entailment |
((b>h)&(h>h)) | (a>(a>(b>h))) | 1 | 1 | 0 | 0 | entailment |
((b&(b|((a|h)|b)))&~((e>(h&h)))) | (a>(a>(b>h))) | 0 | 1 | 1 | 0 | not entailment |
((b>h)&(h>h)) | (~(b)|((b>h)>a)) | 0 | 0 | 0 | 0 | not entailment |