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 |
|---|---|---|---|---|---|---|
(a&(t&q)) | ~(q) | 0 | 1 | 1 | 0 | not entailment |
((a>(~((a>q))&a))&~((t>q))) | ((a|a)&((q&(a>(a&q)))|~(q))) | 0 | 1 | 1 | 0 | not entailment |
(((~(a)>t)&~(~((q|q))))&((q>a)&(a>q))) | ~((q&(t&(~(a)&q)))) | 1 | 1 | 1 | 0 | entailment |
(a>~(((q&((a>t)&q))>(~(t)|~(a))))) | (~(a)|t) | 1 | 1 | 1 | 1 | entailment |
(((~(a)>t)&~(~((q|q))))&((q>a)&(a>q))) | (~(a)|t) | 0 | 1 | 1 | 1 | not entailment |
(a>~(((q&((a>t)&q))>(~(t)|~(a))))) | ~((q&(t&(~(a)&q)))) | 0 | 1 | 1 | 0 | not entailment |
((~(a)>(q|q))&((a|a)&q)) | ~(((~(q)&a)&~(q))) | 1 | 1 | 1 | 0 | entailment |
(~(q)|((t|q)>(((t|t)&t)&~(q)))) | (~((a|(a&q)))|(~(q)|t)) | 1 | 1 | 0 | 0 | entailment |
((~(a)>(q|q))&((a|a)&q)) | (~((a|(a&q)))|(~(q)|t)) | 0 | 1 | 0 | 0 | not entailment |
(~(q)|((t|q)>(((t|t)&t)&~(q)))) | ~(((~(q)&a)&~(q))) | 0 | 1 | 0 | 0 | not entailment |
(~(a)&~(q)) | (~(~(q))>(((~((a|q))|t)&(q|q))&q)) | 1 | 0 | 0 | 0 | entailment |
(a&(a|(t>t))) | (a|q) | 1 | 1 | 0 | 0 | entailment |
(~(a)&~(q)) | (a|q) | 0 | 1 | 1 | 0 | not entailment |
(a&(a|(t>t))) | (~(~(q))>(((~((a|q))|t)&(q|q))&q)) | 0 | 0 | 0 | 0 | not entailment |
~(((((a>a)&(a|a))&q)>~(t))) | ((a&t)|(a>q)) | 1 | 1 | 1 | 1 | entailment |
~((t&((q&t)|(q>a)))) | (q>~((t|(t&(t&(q|q)))))) | 1 | 0 | 1 | 1 | entailment |
~(((((a>a)&(a|a))&q)>~(t))) | (q>~((t|(t&(t&(q|q)))))) | 0 | 1 | 1 | 0 | not entailment |
~((t&((q&t)|(q>a)))) | ((a&t)|(a>q)) | 0 | 1 | 1 | 0 | not entailment |
((a|(q&a))&t) | (((((a&a)>~(q))|t)&t)&(a>a)) | 1 | 0 | 1 | 0 | entailment |
~(q) | (q>~((((a&q)>(t&(q&t)))&(a&((q>q)&t))))) | 1 | 0 | 0 | 0 | entailment |
((a|(q&a))&t) | (q>~((((a&q)>(t&(q&t)))&(a&((q>q)&t))))) | 0 | 0 | 1 | 0 | not entailment |
~(q) | (((((a&a)>~(q))|t)&t)&(a>a)) | 0 | 0 | 0 | 0 | not entailment |
~(((t|(a>~(q)))|(q>t))) | ((q>(a|((t&~(q))|t)))&((t|q)|t)) | 1 | 0 | 1 | 0 | entailment |
~((a|(q|(a&a)))) | ((~((t>q))|a)>(q>(q&t))) | 1 | 0 | 0 | 0 | entailment |
~(((t|(a>~(q)))|(q>t))) | ((~((t>q))|a)>(q>(q&t))) | 0 | 1 | 1 | 0 | not entailment |
~((a|(q|(a&a)))) | ((q>(a|((t&~(q))|t)))&((t|q)|t)) | 0 | 0 | 0 | 0 | not entailment |
(a&(((t|(t|t))&a)>(a|a))) | (q>a) | 1 | 1 | 0 | 0 | entailment |
(~((~((~(a)|a))&(t|a)))>t) | (q>t) | 1 | 1 | 0 | 0 | entailment |
(a&(((t|(t|t))&a)>(a|a))) | (q>t) | 0 | 1 | 0 | 0 | not entailment |
(~((~((~(a)|a))&(t|a)))>t) | (q>a) | 0 | 1 | 0 | 0 | not entailment |
(a&~((t>q))) | (a&((t&a)>(a|t))) | 1 | 0 | 1 | 0 | entailment |
~(~((t&q))) | (((a&t)>(q&t))&t) | 1 | 0 | 0 | 0 | entailment |
(a&~((t>q))) | (((a&t)>(q&t))&t) | 0 | 0 | 1 | 0 | not entailment |
~(~((t&q))) | (a&((t&a)>(a|t))) | 0 | 0 | 0 | 0 | not entailment |
((t|t)&((q>a)|a)) | (~(((~((t|q))>q)&~((~(t)>q))))&t) | 1 | 0 | 1 | 0 | entailment |
(((q>a)>(q|a))|q) | (((~(q)|q)|q)>(~(~(~((a&a))))>q)) | 1 | 0 | 1 | 0 | entailment |
((t|t)&((q>a)|a)) | (((~(q)|q)|q)>(~(~(~((a&a))))>q)) | 0 | 0 | 1 | 0 | not entailment |
(((q>a)>(q|a))|q) | (~(((~((t|q))>q)&~((~(t)>q))))&t) | 0 | 0 | 0 | 0 | not entailment |
(t&(a&((a>t)|a))) | ((((a|((a&t)>t))&~((t|q)))>((a>q)|a))>t) | 1 | 0 | 0 | 0 | entailment |
((q|q)&q) | (q&q) | 1 | 1 | 1 | 1 | entailment |
(t&(a&((a>t)|a))) | (q&q) | 0 | 1 | 0 | 0 | not entailment |
((q|q)&q) | ((((a|((a&t)>t))&~((t|q)))>((a>q)|a))>t) | 0 | 0 | 0 | 0 | not entailment |
((k|c)&i) | (k|i) | 1 | 1 | 1 | 1 | entailment |
(((c&g)&((g>r)&(r|c)))&(c>c)) | (~(r)>(k&~((i>~(g))))) | 1 | 1 | 0 | 0 | entailment |
((k|c)&i) | (~(r)>(k&~((i>~(g))))) | 0 | 0 | 0 | 0 | not entailment |
(((c&g)&((g>r)&(r|c)))&(c>c)) | (k|i) | 0 | 1 | 0 | 0 | not entailment |
~(~((c&c))) | (c|(((r>r)>k)>(c&(g&((~(k)|g)|g))))) | 1 | 0 | 0 | 0 | entailment |
(r&i) | ~((~((i|i))&((~(r)&(k|(k|(g>r))))&k))) | 1 | 0 | 0 | 0 | entailment |
~(~((c&c))) | ~((~((i|i))&((~(r)&(k|(k|(g>r))))&k))) | 0 | 0 | 0 | 0 | not entailment |
(r&i) | (c|(((r>r)>k)>(c&(g&((~(k)|g)|g))))) | 0 | 0 | 0 | 0 | not entailment |
(c|i) | (~((~((k>g))|i))>(k|(c&c))) | 1 | 0 | 0 | 0 | entailment |
(~(k)&(i|g)) | (~((~((c&c))&((i&k)|c)))|~((i>(r&r)))) | 1 | 0 | 0 | 0 | entailment |
(c|i) | (~((~((c&c))&((i&k)|c)))|~((i>(r&r)))) | 0 | 0 | 0 | 0 | not entailment |
(~(k)&(i|g)) | (~((~((k>g))|i))>(k|(c&c))) | 0 | 0 | 0 | 0 | not entailment |
((r&(i|i))|(i&(g&r))) | ((i>~(((~(i)|g)|r)))>(~((g|(i>c)))|r)) | 1 | 0 | 0 | 0 | entailment |
~(~((~((g>r))&(g>c)))) | ((r>k)&g) | 1 | 1 | 0 | 0 | entailment |
((r&(i|i))|(i&(g&r))) | ((r>k)&g) | 0 | 1 | 0 | 0 | not entailment |
~(~((~((g>r))&(g>c)))) | ((i>~(((~(i)|g)|r)))>(~((g|(i>c)))|r)) | 0 | 0 | 0 | 0 | not entailment |
~((~((c&g))&(i>(i|(r>r))))) | ((g|r)&c) | 1 | 1 | 1 | 1 | entailment |
~(r) | ((g|r)&c) | 0 | 0 | 0 | 0 | not entailment |
~((~((c&g))&(i>(i|(r>r))))) | (r>i) | 0 | 1 | 1 | 1 | not entailment |
(~(~((~(((g|(k>c))&k))>i)))&g) | (r>(k|i)) | 1 | 1 | 0 | 0 | entailment |
(r&(r|~(k))) | ((~((k|r))>c)>(~((i>(r|c)))|r)) | 1 | 0 | 0 | 0 | entailment |
(~(~((~(((g|(k>c))&k))>i)))&g) | ((~((k|r))>c)>(~((i>(r|c)))|r)) | 0 | 1 | 0 | 0 | not entailment |
(r&(r|~(k))) | (r>(k|i)) | 0 | 1 | 0 | 0 | not entailment |
~((((i>g)&((~(((r>r)>(k|r)))|c)|g))|g)) | ~((~((g>(i&r)))&g)) | 1 | 1 | 1 | 1 | entailment |
((k&g)&((r&(((i>c)&r)|~(k)))|((k|c)&c))) | ((k|c)&k) | 1 | 1 | 1 | 1 | entailment |
~((((i>g)&((~(((r>r)>(k|r)))|c)|g))|g)) | ((k|c)&k) | 0 | 1 | 1 | 0 | not entailment |
((k&g)&((r&(((i>c)&r)|~(k)))|((k|c)&c))) | ~((~((g>(i&r)))&g)) | 0 | 1 | 1 | 0 | not entailment |
~((i|(r>c))) | ((((g|r)&(g>g))&r)|(i>(k&((g>k)&(r&r))))) | 1 | 0 | 0 | 0 | entailment |
(~(~((g&(((i&g)&i)|i))))&c) | (((k|c)>i)>i) | 1 | 1 | 0 | 0 | entailment |
~((i|(r>c))) | (((k|c)>i)>i) | 0 | 1 | 0 | 0 | not entailment |
(~(~((g&(((i&g)&i)|i))))&c) | ((((g|r)&(g>g))&r)|(i>(k&((g>k)&(r&r))))) | 0 | 0 | 0 | 0 | not entailment |
~((r|c)) | (((i>((k|(k&k))&(k>c)))&(c&i))>~(r)) | 1 | 0 | 0 | 0 | entailment |
~(~((r&~(~((r|~(~(c)))))))) | (g|r) | 1 | 1 | 0 | 0 | entailment |
~((r|c)) | (g|r) | 0 | 1 | 0 | 0 | not entailment |
~(~((r&~(~((r|~(~(c)))))))) | (((i>((k|(k&k))&(k>c)))&(c&i))>~(r)) | 0 | 0 | 0 | 0 | not entailment |
(r&~((((g&(g&g))>c)|~(~(c))))) | ~(~(((k>r)>(k>~((c&c)))))) | 1 | 1 | 0 | 0 | entailment |
(k&i) | (((r>k)>i)&((c&c)>(~(i)>i))) | 1 | 0 | 0 | 0 | entailment |
(r&~((((g&(g&g))>c)|~(~(c))))) | (((r>k)>i)&((c&c)>(~(i)>i))) | 0 | 1 | 0 | 0 | not entailment |
(k&i) | ~(~(((k>r)>(k>~((c&c)))))) | 0 | 0 | 0 | 0 | not entailment |
((g>~((((c|c)>r)>r)))&g) | (i|~(c)) | 1 | 1 | 0 | 0 | entailment |
((i|r)&(k&k)) | (c|k) | 1 | 1 | 0 | 0 | entailment |
((g>~((((c|c)>r)>r)))&g) | (c|k) | 0 | 1 | 0 | 0 | not entailment |
((i|r)&(k&k)) | (i|~(c)) | 0 | 1 | 0 | 0 | not entailment |
((c>((i|g)&k))&((~((i|k))>i)|g)) | ((~(c)&(((c&g)>i)>g))|((k&(r|g))|~(g))) | 1 | 0 | 0 | 0 | entailment |
(r&(((i>r)|k)&c)) | (((c|c)&~(~(((i|k)&r))))|((r>c)&r)) | 1 | 0 | 1 | 0 | entailment |
((c>((i|g)&k))&((~((i|k))>i)|g)) | (((c|c)&~(~(((i|k)&r))))|((r>c)&r)) | 0 | 0 | 0 | 0 | not entailment |
(r&(((i>r)|k)&c)) | ((~(c)&(((c&g)>i)>g))|((k&(r|g))|~(g))) | 0 | 0 | 0 | 0 | not entailment |
~((~(i)|c)) | ((c|((r|i)>((~((c>r))>c)>k)))>k) | 1 | 0 | 0 | 0 | entailment |
(((c|r)>~((i|~((k|(g>(c|r)))))))&(i|c)) | (i>(r>k)) | 1 | 1 | 1 | 1 | entailment |
~((~(i)|c)) | (i>(r>k)) | 0 | 1 | 0 | 0 | not entailment |
(((c|r)>~((i|~((k|(g>(c|r)))))))&(i|c)) | ((c|((r|i)>((~((c>r))>c)>k)))>k) | 0 | 1 | 1 | 0 | not entailment |
~((((r&(k>r))|(r&k))>(c>~(g)))) | (((c&r)|(r&i))|(c>k)) | 1 | 1 | 0 | 0 | entailment |
((i|g)>~(i)) | ~((((k>r)&(i&c))&((g&r)&(g|c)))) | 1 | 0 | 0 | 0 | entailment |
~((((r&(k>r))|(r&k))>(c>~(g)))) | ~((((k>r)&(i&c))&((g&r)&(g|c)))) | 0 | 1 | 0 | 0 | not entailment |
((i|g)>~(i)) | (((c&r)|(r&i))|(c>k)) | 0 | 0 | 0 | 0 | not entailment |
~(q) | ((((q&~(g))>e)|k)|c) | 1 | 0 | 0 | 0 | entailment |
~((e|(q>~(~((b>t)))))) | (((t>g)|~(~(e)))|(b&(g>z))) | 1 | 0 | 0 | 0 | entailment |
~(q) | (((t>g)|~(~(e)))|(b&(g>z))) | 0 | 0 | 0 | 0 | not entailment |
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