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&(((g|c)&(n&g))&(a|t))) | (t>c) | 0 | 1 | 1 | 0 | not entailment |
~(((a|((a>c)&c))|(a|t))) | ((c>g)&~(t)) | 1 | 1 | 0 | 0 | entailment |
((((a>g)>~(~(c)))&c)&(((g>t)>a)&t)) | ((n|a)&(((t&(g|c))|(t&t))|(n>n))) | 1 | 1 | 0 | 0 | entailment |
~(((a|((a>c)&c))|(a|t))) | ((n|a)&(((t&(g|c))|(t&t))|(n>n))) | 0 | 0 | 0 | 0 | not entailment |
((((a>g)>~(~(c)))&c)&(((g>t)>a)&t)) | ((c>g)&~(t)) | 0 | 1 | 1 | 0 | not entailment |
(~(n)>c) | (c|((a&(g|c))>(((x&a)|n)&(g&g)))) | 1 | 0 | 0 | 0 | entailment |
((((g&t)&a)>~(t))>~(a)) | (n>(~(t)|(a>((n|~(g))>g)))) | 1 | 0 | 0 | 0 | entailment |
(~(n)>c) | (n>(~(t)|(a>((n|~(g))>g)))) | 0 | 0 | 0 | 0 | not entailment |
((((g&t)&a)>~(t))>~(a)) | (c|((a&(g|c))>(((x&a)|n)&(g&g)))) | 0 | 0 | 0 | 0 | not entailment |
((x>x)>~(a)) | ~((a|a)) | 1 | 1 | 1 | 1 | entailment |
~((((n|c)&g)>(~(((g|a)>(t>c)))|~(g)))) | ((x>(((g>g)|n)>(a&~(((c|c)&c)))))>g) | 1 | 1 | 0 | 0 | entailment |
((x>x)>~(a)) | ((x>(((g>g)|n)>(a&~(((c|c)&c)))))>g) | 0 | 0 | 0 | 0 | not entailment |
~((((n|c)&g)>(~(((g|a)>(t>c)))|~(g)))) | ~((a|a)) | 0 | 1 | 1 | 1 | not entailment |
(~(a)&~(((g>n)|n))) | ~((~(g)|(a&(x>g)))) | 1 | 1 | 0 | 0 | entailment |
~(((~((n&g))>((~(x)|x)>x))>(g>(x&a)))) | (((a>x)|((n|n)>a))&((g>(g>x))|n)) | 1 | 1 | 1 | 0 | entailment |
(~(a)&~(((g>n)|n))) | (((a>x)|((n|n)>a))&((g>(g>x))|n)) | 0 | 0 | 0 | 0 | not entailment |
~(((~((n&g))>((~(x)|x)>x))>(g>(x&a)))) | ~((~(g)|(a&(x>g)))) | 0 | 1 | 1 | 0 | not entailment |
~((((x&g)&(~(a)&g))>~((n|(g&g))))) | (x|g) | 1 | 1 | 1 | 1 | entailment |
~((~(x)>t)) | ~(t) | 1 | 1 | 1 | 1 | entailment |
~((((x&g)&(~(a)&g))>~((n|(g&g))))) | ~(t) | 0 | 1 | 0 | 0 | not entailment |
~((~(x)>t)) | (x|g) | 0 | 1 | 0 | 0 | not entailment |
(g|c) | (~(~(~(~(g))))|c) | 1 | 0 | 1 | 1 | entailment |
~(~(~(((n|c)|(~(x)|(x&g)))))) | (~((((x>a)|g)&g))>((x|x)&(n|x))) | 1 | 1 | 0 | 0 | entailment |
(g|c) | (~((((x>a)|g)&g))>((x|x)&(n|x))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((n|c)|(~(x)|(x&g)))))) | (~(~(~(~(g))))|c) | 0 | 1 | 1 | 0 | not entailment |
(((n|x)&t)&g) | ((x|c)|(t&g)) | 1 | 1 | 0 | 0 | entailment |
((n&c)|(n&((t&n)|~((((a>(g>n))|g)&g))))) | (~((~(~((t&(a>(t|n)))))>(c|(x|c))))|n) | 1 | 1 | 0 | 0 | entailment |
(((n|x)&t)&g) | (~((~(~((t&(a>(t|n)))))>(c|(x|c))))|n) | 0 | 0 | 0 | 0 | not entailment |
((n&c)|(n&((t&n)|~((((a>(g>n))|g)&g))))) | ((x|c)|(t&g)) | 0 | 1 | 0 | 0 | not entailment |
(e|(((q|k)|q)&(k>a))) | ((((q&f)|((f&d)&q))|(e|q))|(k|f)) | 1 | 0 | 0 | 0 | entailment |
(d|d) | (~(((((e|e)>q)|~(f))|k))>d) | 1 | 0 | 0 | 0 | entailment |
(e|(((q|k)|q)&(k>a))) | (~(((((e|e)>q)|~(f))|k))>d) | 0 | 0 | 0 | 0 | not entailment |
(d|d) | ((((q&f)|((f&d)&q))|(e|q))|(k|f)) | 0 | 0 | 0 | 0 | not entailment |
(q&e) | (e&(e&e)) | 1 | 0 | 1 | 1 | entailment |
~(~(~((f|a)))) | (a>d) | 1 | 1 | 0 | 0 | entailment |
(q&e) | (a>d) | 0 | 1 | 0 | 0 | not entailment |
~(~(~((f|a)))) | (e&(e&e)) | 0 | 1 | 0 | 0 | not entailment |
((a>e)&q) | ((e>(d|(a|q)))&((d|q)&(d|q))) | 1 | 0 | 0 | 0 | entailment |
~((((~(k)>f)|((q>a)>k))|(a&a))) | ((a>(d&q))|k) | 1 | 1 | 0 | 0 | entailment |
((a>e)&q) | ((a>(d&q))|k) | 0 | 0 | 0 | 0 | not entailment |
~((((~(k)>f)|((q>a)>k))|(a&a))) | ((e>(d|(a|q)))&((d|q)&(d|q))) | 0 | 1 | 0 | 0 | not entailment |
(~(((a&q)|f))|(f>k)) | (((f&((f|a)>(a|q)))>(q|((q|a)>k)))|k) | 1 | 0 | 1 | 0 | entailment |
~((q|e)) | ((((~(((a>q)&k))&f)|d)|~(q))|(~(e)&e)) | 1 | 0 | 0 | 0 | entailment |
(~(((a&q)|f))|(f>k)) | ((((~(((a>q)&k))&f)|d)|~(q))|(~(e)&e)) | 0 | 0 | 0 | 0 | not entailment |
~((q|e)) | (((f&((f|a)>(a|q)))>(q|((q|a)>k)))|k) | 0 | 0 | 0 | 0 | not entailment |
~((((f|a)&~(~((q&d))))>(e|k))) | ((~((e>f))>(k|q))&((f>(a&(q>d)))>d)) | 1 | 0 | 1 | 0 | entailment |
~(~((f&a))) | ((q&(f>k))>(k|f)) | 1 | 0 | 0 | 0 | entailment |
~((((f|a)&~(~((q&d))))>(e|k))) | ((q&(f>k))>(k|f)) | 0 | 1 | 1 | 0 | not entailment |
~(~((f&a))) | ((~((e>f))>(k|q))&((f>(a&(q>d)))>d)) | 0 | 0 | 0 | 0 | not entailment |
(q&((a&~(f))&(e|q))) | (a|a) | 1 | 1 | 1 | 1 | entailment |
((d&e)&(a>a)) | ((e&d)|(~((~(q)>(k>f)))&((k|k)|f))) | 1 | 0 | 0 | 0 | entailment |
(q&((a&~(f))&(e|q))) | ((e&d)|(~((~(q)>(k>f)))&((k|k)|f))) | 0 | 0 | 0 | 0 | not entailment |
((d&e)&(a>a)) | (a|a) | 0 | 1 | 1 | 1 | not entailment |
(~(((d&a)>~(e)))&((q>(e>a))|~(q))) | (~((a&(d&d)))>~(f)) | 1 | 1 | 0 | 0 | entailment |
(~(a)&d) | ~((q&a)) | 1 | 1 | 0 | 0 | entailment |
(~(((d&a)>~(e)))&((q>(e>a))|~(q))) | ~((q&a)) | 0 | 1 | 1 | 0 | not entailment |
(~(a)&d) | (~((a&(d&d)))>~(f)) | 0 | 0 | 0 | 0 | not entailment |
((a>k)>((f>f)&a)) | (~(((d|f)&((q|k)>(a|a))))>(((d&d)|q)>q)) | 1 | 0 | 0 | 0 | entailment |
~((k>(d&q))) | (q|k) | 1 | 1 | 1 | 0 | entailment |
((a>k)>((f>f)&a)) | (q|k) | 0 | 1 | 0 | 0 | not entailment |
~((k>(d&q))) | (~(((d|f)&((q|k)>(a|a))))>(((d&d)|q)>q)) | 0 | 0 | 0 | 0 | not entailment |
~(((a|(d|d))|((q>~(e))>(q|a)))) | ((e&a)|(q>a)) | 1 | 1 | 1 | 0 | entailment |
~((~(((f&e)&~(a)))|(k|~((f|(k&a)))))) | (((a>e)&a)|e) | 1 | 1 | 1 | 1 | entailment |
~(((a|(d|d))|((q>~(e))>(q|a)))) | (((a>e)&a)|e) | 0 | 1 | 1 | 0 | not entailment |
~((~(((f&e)&~(a)))|(k|~((f|(k&a)))))) | ((e&a)|(q>a)) | 0 | 1 | 0 | 0 | not entailment |
~(((e&a)>(d&(e|e)))) | ((q>a)&(d>(a&(q>d)))) | 1 | 1 | 0 | 0 | entailment |
(~(a)&~(((d>a)>~(~((e|d)))))) | (((q|e)&~((e>e)))|(a>(d&q))) | 1 | 1 | 0 | 0 | entailment |
~(((e&a)>(d&(e|e)))) | (((q|e)&~((e>e)))|(a>(d&q))) | 0 | 0 | 0 | 0 | not entailment |
(~(a)&~(((d>a)>~(~((e|d)))))) | ((q>a)&(d>(a&(q>d)))) | 0 | 1 | 0 | 0 | not entailment |
~((a>q)) | (~(((e>e)>d))>(a|~((q&~(f))))) | 1 | 0 | 0 | 0 | entailment |
(~(~(e))&(q|q)) | (k|~(~(q))) | 1 | 1 | 0 | 0 | entailment |
~((a>q)) | (k|~(~(q))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(e))&(q|q)) | (~(((e>e)>d))>(a|~((q&~(f))))) | 0 | 0 | 0 | 0 | not entailment |
(~(q)&a) | (e>a) | 1 | 1 | 0 | 0 | entailment |
(d|d) | (e|((d|k)&((a>(q>q))|e))) | 1 | 0 | 0 | 0 | entailment |
(~(q)&a) | (e|((d|k)&((a>(q>q))|e))) | 0 | 0 | 0 | 0 | not entailment |
(d|d) | (e>a) | 0 | 1 | 0 | 0 | not entailment |
~((~((q&(e|(~(k)&q))))|~(d))) | ((~(d)|q)|(~((e&k))>a)) | 1 | 1 | 0 | 0 | entailment |
(d&f) | ((k>(~(k)|d))>(f|k)) | 1 | 0 | 0 | 0 | entailment |
~((~((q&(e|(~(k)&q))))|~(d))) | ((k>(~(k)|d))>(f|k)) | 0 | 1 | 0 | 0 | not entailment |
(d&f) | ((~(d)|q)|(~((e&k))>a)) | 0 | 0 | 0 | 0 | not entailment |
(q&(q&(d&a))) | ((f&q)|q) | 1 | 1 | 0 | 0 | entailment |
~(((a&~((k&(q|d))))>((~(f)|k)&a))) | (~(~(e))|f) | 1 | 1 | 0 | 0 | entailment |
(q&(q&(d&a))) | (~(~(e))|f) | 0 | 1 | 0 | 0 | not entailment |
~(((a&~((k&(q|d))))>((~(f)|k)&a))) | ((f&q)|q) | 0 | 1 | 1 | 0 | not entailment |
(e&((q>k)&(k>q))) | ((d|~((~((e|a))&(f|q))))|k) | 1 | 0 | 0 | 0 | entailment |
(~(~(((~(e)>a)>~(q))))&q) | ~(e) | 1 | 1 | 1 | 1 | entailment |
(e&((q>k)&(k>q))) | ~(e) | 0 | 1 | 1 | 0 | not entailment |
(~(~(((~(e)>a)>~(q))))&q) | ((d|~((~((e|a))&(f|q))))|k) | 0 | 1 | 0 | 0 | not entailment |
((w&f)&((w>f)|((((~(h)&h)|w)&w)|(w|w)))) | (~(f)>f) | 1 | 1 | 1 | 1 | entailment |
((w>(w>f))&((w|w)>h)) | ((h>(f>f))&(f>(w>h))) | 1 | 1 | 1 | 0 | entailment |
((w&f)&((w>f)|((((~(h)&h)|w)&w)|(w|w)))) | ((h>(f>f))&(f>(w>h))) | 0 | 1 | 1 | 0 | not entailment |
((w>(w>f))&((w|w)>h)) | (~(f)>f) | 0 | 1 | 1 | 1 | not entailment |
(w>f) | ((h>f)|~((w|f))) | 1 | 0 | 0 | 0 | entailment |
~(~(w)) | (f>((~(h)|(w>(f>h)))>(f&(~(h)>w)))) | 1 | 0 | 0 | 0 | entailment |
(w>f) | (f>((~(h)|(w>(f>h)))>(f&(~(h)>w)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(w)) | ((h>f)|~((w|f))) | 0 | 0 | 0 | 0 | not entailment |
((w|w)&(((~(f)>w)>w)&(h&h))) | (~((h>w))>w) | 1 | 1 | 1 | 0 | entailment |
((h&~(w))&(h|((f>f)>((h&f)&w)))) | ((w>(h&(f&f)))|f) | 1 | 1 | 1 | 1 | entailment |
((w|w)&(((~(f)>w)>w)&(h&h))) | ((w>(h&(f&f)))|f) | 0 | 1 | 1 | 0 | not entailment |
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