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>t)>t) | (u|t) | 1 | 1 | 1 | 1 | entailment |
(u|(w&(w|((u&(w&w))>w)))) | (w|(w|u)) | 1 | 1 | 1 | 1 | entailment |
((u>t)>t) | (w|(w|u)) | 0 | 1 | 0 | 0 | not entailment |
(u|(w&(w|((u&(w&w))>w)))) | (u|t) | 0 | 1 | 0 | 0 | not entailment |
~((~((w>t))>~(((t&t)>(w|t))))) | (((w|t)|(t|t))|u) | 1 | 1 | 0 | 0 | entailment |
(~(u)&(w|~((u&w)))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
~((~((w>t))>~(((t&t)>(w|t))))) | ~(u) | 0 | 1 | 0 | 0 | not entailment |
(~(u)&(w|~((u&w)))) | (((w|t)|(t|t))|u) | 0 | 1 | 0 | 0 | not entailment |
((w|(u&t))&((t|u)|~(t))) | (t|w) | 1 | 1 | 1 | 1 | entailment |
((((~(t)|t)&u)>(w&(w|u)))|~(((w>t)|u))) | (u>w) | 1 | 1 | 1 | 1 | entailment |
((w|(u&t))&((t|u)|~(t))) | (u>w) | 0 | 1 | 1 | 0 | not entailment |
((((~(t)|t)&u)>(w&(w|u)))|~(((w>t)|u))) | (t|w) | 0 | 1 | 1 | 1 | not entailment |
(w&~(u)) | (u>w) | 1 | 1 | 1 | 1 | entailment |
~(((u|t)>t)) | ((((t|u)|t)|~(~(u)))|~(~((w>(t|t))))) | 1 | 0 | 0 | 0 | entailment |
(w&~(u)) | ((((t|u)|t)|~(~(u)))|~(~((w>(t|t))))) | 0 | 0 | 0 | 0 | not entailment |
~(((u|t)>t)) | (u>w) | 0 | 1 | 0 | 0 | not entailment |
(~(~(w))&~(t)) | (t>(w&(u&w))) | 1 | 1 | 0 | 0 | entailment |
~((~(u)|(~(((t>w)&w))>((t&t)>(t&w))))) | (((w&u)>(((t>(t&u))|w)|t))&(~((u|u))|t)) | 1 | 1 | 1 | 0 | entailment |
(~(~(w))&~(t)) | (((w&u)>(((t>(t&u))|w)|t))&(~((u|u))|t)) | 0 | 0 | 0 | 0 | not entailment |
~((~(u)|(~(((t>w)&w))>((t&t)>(t&w))))) | (t>(w&(u&w))) | 0 | 1 | 1 | 0 | not entailment |
((w&w)&((u>t)&w)) | (((w&t)>u)>(t>w)) | 1 | 1 | 1 | 0 | entailment |
(~((u&t))&~(~((~((t>t))|t)))) | ~(~((w>t))) | 1 | 1 | 0 | 0 | entailment |
((w&w)&((u>t)&w)) | ~(~((w>t))) | 0 | 1 | 1 | 0 | not entailment |
(~((u&t))&~(~((~((t>t))|t)))) | (((w&t)>u)>(t>w)) | 0 | 1 | 0 | 0 | not entailment |
((u|t)&t) | (((t|(t>t))|t)&(~(u)|t)) | 1 | 0 | 1 | 0 | entailment |
((~((u|(u&w)))>u)|(t&~(t))) | ((t|u)>u) | 1 | 1 | 1 | 0 | entailment |
((u|t)&t) | ((t|u)>u) | 0 | 1 | 1 | 0 | not entailment |
((~((u|(u&w)))>u)|(t&~(t))) | (((t|(t>t))|t)&(~(u)|t)) | 0 | 1 | 1 | 0 | not entailment |
(w&(u&w)) | (w|(t|w)) | 1 | 1 | 0 | 0 | entailment |
~(((u>t)|~(((u>((w>(t>w))>t))>w)))) | (~((t|t))&(t>~(w))) | 1 | 1 | 1 | 1 | entailment |
(w&(u&w)) | (~((t|t))&(t>~(w))) | 0 | 0 | 0 | 0 | not entailment |
~(((u>t)|~(((u>((w>(t>w))>t))>w)))) | (w|(t|w)) | 0 | 1 | 1 | 0 | not entailment |
(u&(u|w)) | (t>u) | 1 | 1 | 0 | 0 | entailment |
(u>w) | ~(~((u>w))) | 1 | 0 | 1 | 1 | entailment |
(u&(u|w)) | ~(~((u>w))) | 0 | 0 | 1 | 0 | not entailment |
(u>w) | (t>u) | 0 | 1 | 0 | 0 | not entailment |
~((~((w&u))|t)) | ((((u|t)>(t&~(w)))>u)|((~(u)>(w>u))&u)) | 1 | 0 | 1 | 0 | entailment |
~(~(t)) | (~((t>u))|(t|(t&w))) | 1 | 0 | 0 | 0 | entailment |
~((~((w&u))|t)) | (~((t>u))|(t|(t&w))) | 0 | 0 | 1 | 0 | not entailment |
~(~(t)) | ((((u|t)>(t&~(w)))>u)|((~(u)>(w>u))&u)) | 0 | 0 | 0 | 0 | not entailment |
~((~((p&h))>((e&v)>~((h|~(b)))))) | (e|(~(b)&j)) | 1 | 1 | 0 | 0 | entailment |
(p|j) | (j|(~(((v&(~((v&b))>v))|j))|((h&j)|p))) | 1 | 0 | 0 | 0 | entailment |
~((~((p&h))>((e&v)>~((h|~(b)))))) | (j|(~(((v&(~((v&b))>v))|j))|((h&j)|p))) | 0 | 0 | 0 | 0 | not entailment |
(p|j) | (e|(~(b)&j)) | 0 | 0 | 0 | 0 | not entailment |
~((((p>~(b))|h)&(h>h))) | (p|e) | 1 | 1 | 0 | 0 | entailment |
~((b|v)) | ~(v) | 1 | 1 | 1 | 1 | entailment |
~((((p>~(b))|h)&(h>h))) | ~(v) | 0 | 1 | 0 | 0 | not entailment |
~((b|v)) | (p|e) | 0 | 1 | 0 | 0 | not entailment |
(((j|e)|~(((h>~(p))|e)))&b) | ((b|(((e>p)|(j&j))|(j&e)))&(v>v)) | 1 | 0 | 0 | 0 | entailment |
~(((~(e)|b)|v)) | ((h|b)>(((v>b)&e)&h)) | 1 | 0 | 0 | 0 | entailment |
(((j|e)|~(((h>~(p))|e)))&b) | ((h|b)>(((v>b)&e)&h)) | 0 | 1 | 0 | 0 | not entailment |
~(((~(e)|b)|v)) | ((b|(((e>p)|(j&j))|(j&e)))&(v>v)) | 0 | 0 | 0 | 0 | not entailment |
(e&((p&h)&(~((~(h)&v))|(j>b)))) | (j>(p>(((h|(j|p))&(((v&p)>j)>j))>(h|e)))) | 1 | 0 | 1 | 0 | entailment |
~((b&(b|(p&p)))) | ~(((b&b)&(b&e))) | 1 | 1 | 0 | 0 | entailment |
(e&((p&h)&(~((~(h)&v))|(j>b)))) | ~(((b&b)&(b&e))) | 0 | 1 | 1 | 0 | not entailment |
~((b&(b|(p&p)))) | (j>(p>(((h|(j|p))&(((v&p)>j)>j))>(h|e)))) | 0 | 0 | 0 | 0 | not entailment |
(((v>v)>(b&(~(j)|~(p))))&p) | (((v&~(((e|p)|h)))>(j&(p|j)))|j) | 1 | 0 | 0 | 0 | entailment |
((v|v)&~((((b|p)>((v&v)>(h>h)))>p))) | ((j>((~(h)|b)>h))>(v|h)) | 1 | 1 | 0 | 0 | entailment |
(((v>v)>(b&(~(j)|~(p))))&p) | ((j>((~(h)|b)>h))>(v|h)) | 0 | 1 | 0 | 0 | not entailment |
((v|v)&~((((b|p)>((v&v)>(h>h)))>p))) | (((v&~(((e|p)|h)))>(j&(p|j)))|j) | 0 | 1 | 0 | 0 | not entailment |
~((~((h|((~(h)&(v|p))>p)))>j)) | (((h>h)|e)>((j>~((h&b)))|~(((e>v)|b)))) | 1 | 0 | 0 | 0 | entailment |
(b&((b>(v>b))|b)) | ((~(p)>h)|(~(b)>(~(v)&(p>j)))) | 1 | 0 | 0 | 0 | entailment |
~((~((h|((~(h)&(v|p))>p)))>j)) | ((~(p)>h)|(~(b)>(~(v)&(p>j)))) | 0 | 1 | 0 | 0 | not entailment |
(b&((b>(v>b))|b)) | (((h>h)|e)>((j>~((h&b)))|~(((e>v)|b)))) | 0 | 0 | 0 | 0 | not entailment |
((h&v)|h) | ((((h>~(j))|b)&(v|((e|e)&p)))|((h&e)|h)) | 1 | 0 | 0 | 0 | entailment |
(e>b) | ((b|((p>(~(e)&p))|b))|~((v>~(h)))) | 1 | 0 | 0 | 0 | entailment |
((h&v)|h) | ((b|((p>(~(e)&p))|b))|~((v>~(h)))) | 0 | 0 | 0 | 0 | not entailment |
(e>b) | ((((h>~(j))|b)&(v|((e|e)&p)))|((h&e)|h)) | 0 | 0 | 0 | 0 | not entailment |
~(((((e|j)|(v|b))&(h|j))>v)) | ~((~(~((b|~(b))))>v)) | 1 | 1 | 1 | 0 | entailment |
(e&(~(b)>(e>j))) | ~(~((((p>j)>j)|b))) | 1 | 0 | 0 | 0 | entailment |
~(((((e|j)|(v|b))&(h|j))>v)) | ~(~((((p>j)>j)|b))) | 0 | 1 | 0 | 0 | not entailment |
(e&(~(b)>(e>j))) | ~((~(~((b|~(b))))>v)) | 0 | 0 | 0 | 0 | not entailment |
~((((b&p)|(v>e))>(p|((h>b)|e)))) | (~(v)&(v>(b>e))) | 1 | 1 | 1 | 1 | entailment |
(h>p) | (h>(((~(~((e&v)))&b)>(e|e))&((j>p)|p))) | 1 | 0 | 0 | 0 | entailment |
~((((b&p)|(v>e))>(p|((h>b)|e)))) | (h>(((~(~((e&v)))&b)>(e|e))&((j>p)|p))) | 0 | 0 | 0 | 0 | not entailment |
(h>p) | (~(v)&(v>(b>e))) | 0 | 0 | 0 | 0 | not entailment |
(v&(j&(~(j)|(v>((h|e)|j))))) | (b>((~(~((j|h)))|~(~(p)))&(h>v))) | 1 | 0 | 0 | 0 | entailment |
(e&e) | ((((e&p)&e)>~(h))>(~(p)>e)) | 1 | 0 | 0 | 0 | entailment |
(v&(j&(~(j)|(v>((h|e)|j))))) | ((((e&p)&e)>~(h))>(~(p)>e)) | 0 | 1 | 0 | 0 | not entailment |
(e&e) | (b>((~(~((j|h)))|~(~(p)))&(h>v))) | 0 | 0 | 0 | 0 | not entailment |
~((~(((b>b)&b))>~(~(h)))) | ((h>(((j&e)>(b&p))|p))>(h>(j&(e>j)))) | 1 | 0 | 0 | 0 | entailment |
(~((((e>p)&(e>e))&~((b>j))))&(b&v)) | ((v>~(p))|j) | 1 | 1 | 1 | 0 | entailment |
~((~(((b>b)&b))>~(~(h)))) | ((v>~(p))|j) | 0 | 1 | 0 | 0 | not entailment |
(~((((e>p)&(e>e))&~((b>j))))&(b&v)) | ((h>(((j&e)>(b&p))|p))>(h>(j&(e>j)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((~((v>e))>~(j))))) | ((v|p)>j) | 1 | 1 | 0 | 0 | entailment |
(~((p>~(~((v>b)))))|(~(e)>e)) | ((~(((v&(((e>p)|e)&b))|b))>p)|(e&e)) | 1 | 0 | 1 | 0 | entailment |
~(~(~((~((v>e))>~(j))))) | ((~(((v&(((e>p)|e)&b))|b))>p)|(e&e)) | 0 | 0 | 0 | 0 | not entailment |
(~((p>~(~((v>b)))))|(~(e)>e)) | ((v|p)>j) | 0 | 1 | 0 | 0 | not entailment |
~((h>(e&e))) | (((~((j>b))&p)>h)|(b&v)) | 1 | 0 | 0 | 0 | entailment |
(((~(v)|v)|(p>v))&~((v>h))) | (((j>h)&h)>((e|(v|b))&p)) | 1 | 1 | 0 | 0 | entailment |
~((h>(e&e))) | (((j>h)&h)>((e|(v|b))&p)) | 0 | 0 | 0 | 0 | not entailment |
(((~(v)|v)|(p>v))&~((v>h))) | (((~((j>b))&p)>h)|(b&v)) | 0 | 1 | 0 | 0 | not entailment |
(b&(h>(j&e))) | (v|b) | 1 | 1 | 0 | 0 | entailment |
~((~((e&j))&(~((p>(p&(p&h))))|~(j)))) | (j&(e>j)) | 1 | 1 | 1 | 0 | entailment |
(b&(h>(j&e))) | (j&(e>j)) | 0 | 1 | 1 | 0 | not entailment |
~((~((e&j))&(~((p>(p&(p&h))))|~(j)))) | (v|b) | 0 | 1 | 0 | 0 | not entailment |
~(~(((v&e)&~(~((e&(v&e))))))) | (((h|e)|e)&(((h|~(h))|((b>j)>v))|(h>v))) | 1 | 0 | 0 | 0 | entailment |
(v&(((h>(e>(h|v)))|b)>b)) | (h>b) | 1 | 1 | 1 | 1 | entailment |
~(~(((v&e)&~(~((e&(v&e))))))) | (h>b) | 0 | 1 | 0 | 0 | not entailment |
(v&(((h>(e>(h|v)))|b)>b)) | (((h|e)|e)&(((h|~(h))|((b>j)>v))|(h>v))) | 0 | 0 | 0 | 0 | not entailment |
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