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 |
|---|---|---|---|---|---|---|
(((g|v)&s)&((s|v)&v)) | (((v>v)|~((v|(g>v))))>(g|g)) | 0 | 0 | 1 | 0 | not entailment |
(g>~(g)) | ((((v&s)&s)>s)>(g>(s>(v&g)))) | 1 | 0 | 0 | 0 | entailment |
~((((g|v)>(s>s))&(g>v))) | (g&((g>(~(s)&s))>(v>v))) | 1 | 1 | 1 | 1 | entailment |
(g>~(g)) | (g&((g>(~(s)&s))>(v>v))) | 0 | 0 | 0 | 0 | not entailment |
~((((g|v)>(s>s))&(g>v))) | ((((v&s)&s)>s)>(g>(s>(v&g)))) | 0 | 0 | 1 | 0 | not entailment |
(q|q) | ((q|q)|(q|q)) | 1 | 0 | 1 | 1 | entailment |
~((q|q)) | ~((~(q)>((q>q)&(q&q)))) | 1 | 0 | 1 | 0 | entailment |
(q|q) | ~((~(q)>((q>q)&(q&q)))) | 0 | 0 | 1 | 0 | not entailment |
~((q|q)) | ((q|q)|(q|q)) | 0 | 0 | 1 | 0 | not entailment |
((((q>q)>~(q))|q)>q) | ((q&(q>q))&q) | 1 | 1 | 1 | 1 | entailment |
~((((~((q|q))>(q&q))&q)|(q&q))) | (((q&q)|(~(q)|q))&~(q)) | 1 | 1 | 1 | 0 | entailment |
((((q>q)>~(q))|q)>q) | (((q&q)|(~(q)|q))&~(q)) | 0 | 0 | 1 | 1 | not entailment |
~((((~((q|q))>(q&q))&q)|(q&q))) | ((q&(q>q))&q) | 0 | 1 | 1 | 0 | not entailment |
~((i>c)) | (i|s) | 1 | 1 | 0 | 0 | entailment |
~(((a|a)>((i|f)&s))) | ((a|c)|(s|((a|~(c))>c))) | 1 | 0 | 0 | 0 | entailment |
~((i>c)) | ((a|c)|(s|((a|~(c))>c))) | 0 | 0 | 0 | 0 | not entailment |
~(((a|a)>((i|f)&s))) | (i|s) | 0 | 1 | 1 | 0 | not entailment |
~((i>(a|(f&(a&f))))) | ~(((i>(i&~((c|i))))|((~(c)&(c|c))&a))) | 1 | 0 | 0 | 0 | entailment |
((((a|a)&((f|((s&f)|a))>f))>s)&(s|(f&s))) | (s&((~(s)>s)|c)) | 1 | 1 | 0 | 0 | entailment |
~((i>(a|(f&(a&f))))) | (s&((~(s)>s)|c)) | 0 | 1 | 0 | 0 | not entailment |
((((a|a)&((f|((s&f)|a))>f))>s)&(s|(f&s))) | ~(((i>(i&~((c|i))))|((~(c)&(c|c))&a))) | 0 | 1 | 0 | 0 | not entailment |
((f>(c&(f>(i>c))))&(i&a)) | (s>((~(f)|((f&i)&(c|f)))|~(f))) | 1 | 0 | 0 | 0 | entailment |
(~((c&(a|c)))&((c>f)>~((a&a)))) | ((~(s)&(((s|a)>c)&~(f)))>~((a|f))) | 1 | 0 | 0 | 0 | entailment |
((f>(c&(f>(i>c))))&(i&a)) | ((~(s)&(((s|a)>c)&~(f)))>~((a|f))) | 0 | 0 | 0 | 0 | not entailment |
(~((c&(a|c)))&((c>f)>~((a&a)))) | (s>((~(f)|((f&i)&(c|f)))|~(f))) | 0 | 1 | 0 | 0 | not entailment |
~(~(((s&f)&(a>s)))) | ((((c|a)|f)&~(i))>f) | 1 | 1 | 0 | 0 | entailment |
((f|c)&(a|i)) | ((i&i)|a) | 1 | 1 | 1 | 1 | entailment |
~(~(((s&f)&(a>s)))) | ((i&i)|a) | 0 | 1 | 0 | 0 | not entailment |
((f|c)&(a|i)) | ((((c|a)|f)&~(i))>f) | 0 | 0 | 1 | 0 | not entailment |
~(((~(f)|a)|a)) | ((s>i)|((f&f)|a)) | 1 | 1 | 0 | 0 | entailment |
(s|(s&a)) | (~(c)|(~(s)>(c&~((a|(c>c)))))) | 1 | 0 | 0 | 0 | entailment |
~(((~(f)|a)|a)) | (~(c)|(~(s)>(c&~((a|(c>c)))))) | 0 | 0 | 0 | 0 | not entailment |
(s|(s&a)) | ((s>i)|((f&f)|a)) | 0 | 0 | 0 | 0 | not entailment |
~(((a>c)&(i>(c>(i>(i|c)))))) | (f|((a|c)|s)) | 1 | 1 | 0 | 0 | entailment |
~(((~(s)>a)|f)) | ~(a) | 1 | 1 | 1 | 1 | entailment |
~(((a>c)&(i>(c>(i>(i|c)))))) | ~(a) | 0 | 1 | 1 | 0 | not entailment |
~(((~(s)>a)|f)) | (f|((a|c)|s)) | 0 | 1 | 0 | 0 | not entailment |
((c|(s|(c&s)))&((c>(((a|f)&(f&s))&s))&f)) | (a>f) | 1 | 1 | 1 | 0 | entailment |
~((~((~((a>f))>(f&c)))>(a&s))) | ((~(f)|(i|f))&(~(f)&(c>a))) | 1 | 1 | 0 | 0 | entailment |
((c|(s|(c&s)))&((c>(((a|f)&(f&s))&s))&f)) | ((~(f)|(i|f))&(~(f)&(c>a))) | 0 | 1 | 0 | 0 | not entailment |
~((~((~((a>f))>(f&c)))>(a&s))) | (a>f) | 0 | 1 | 1 | 0 | not entailment |
(((f&~(a))&(f>c))&((i|i)|~(~(~(i))))) | ((~(~((a|f)))>~(c))>(c|a)) | 1 | 1 | 1 | 0 | entailment |
(f&s) | (((~((a|(f>s)))>((i|a)>f))&(c|f))&(s&s)) | 1 | 0 | 0 | 0 | entailment |
(((f&~(a))&(f>c))&((i|i)|~(~(~(i))))) | (((~((a|(f>s)))>((i|a)>f))&(c|f))&(s&s)) | 0 | 1 | 0 | 0 | not entailment |
(f&s) | ((~(~((a|f)))>~(c))>(c|a)) | 0 | 0 | 0 | 0 | not entailment |
~(((((s|f)&a)&((i>s)|(f&s)))>(c|i))) | (~(~(((i&a)|((f&i)&(c>a)))))>c) | 1 | 1 | 1 | 0 | entailment |
~((f>a)) | (f|~(~(((a&s)&c)))) | 1 | 0 | 0 | 0 | entailment |
~(((((s|f)&a)&((i>s)|(f&s)))>(c|i))) | (f|~(~(((a&s)&c)))) | 0 | 1 | 1 | 0 | not entailment |
~((f>a)) | (~(~(((i&a)|((f&i)&(c>a)))))>c) | 0 | 0 | 0 | 0 | not entailment |
~((((f|c)|a)&(c|(c>(s>i))))) | ~(~(((a|c)>c))) | 1 | 1 | 1 | 1 | entailment |
((~((a&s))&~(i))>c) | ((c|~(s))>((i|s)|c)) | 1 | 1 | 1 | 0 | entailment |
~((((f|c)|a)&(c|(c>(s>i))))) | ((c|~(s))>((i|s)|c)) | 0 | 1 | 1 | 0 | not entailment |
((~((a&s))&~(i))>c) | ~(~(((a|c)>c))) | 0 | 1 | 1 | 0 | not entailment |
((~(((a&f)>s))&f)|(~((a>f))&f)) | ~((i&(s&(s&f)))) | 1 | 1 | 0 | 0 | entailment |
((f&s)|~(~(((~(i)&(f&a))&s)))) | ((~((i>f))|~((c&i)))|((~(c)&f)|(s&s))) | 1 | 0 | 0 | 0 | entailment |
((~(((a&f)>s))&f)|(~((a>f))&f)) | ((~((i>f))|~((c&i)))|((~(c)&f)|(s&s))) | 0 | 0 | 0 | 0 | not entailment |
((f&s)|~(~(((~(i)&(f&a))&s)))) | ~((i&(s&(s&f)))) | 0 | 1 | 1 | 0 | not entailment |
~(((a|f)|~((s|c)))) | ((s&f)>~(s)) | 1 | 1 | 1 | 0 | entailment |
((c>i)&~(~(((s|(s>s))>i)))) | (i|s) | 1 | 1 | 1 | 1 | entailment |
~(((a|f)|~((s|c)))) | (i|s) | 0 | 1 | 0 | 0 | not entailment |
((c>i)&~(~(((s|(s>s))>i)))) | ((s&f)>~(s)) | 0 | 1 | 0 | 0 | not entailment |
(i&~((s&(~(c)>(~(c)|((f>f)|c)))))) | ((i|c)&(i&(i&i))) | 1 | 1 | 1 | 1 | entailment |
((~((s&i))&f)&((s|(~(a)>s))&(i|(c&s)))) | ((i>(f|(f&s)))|((c|c)|~((s|a)))) | 1 | 1 | 1 | 0 | entailment |
(i&~((s&(~(c)>(~(c)|((f>f)|c)))))) | ((i>(f|(f&s)))|((c|c)|~((s|a)))) | 0 | 1 | 0 | 0 | not entailment |
((~((s&i))&f)&((s|(~(a)>s))&(i|(c&s)))) | ((i|c)&(i&(i&i))) | 0 | 1 | 1 | 1 | not entailment |
~(c) | (c>~((c>a))) | 1 | 0 | 0 | 0 | entailment |
(i&(((f>(f&f))&a)&(i>c))) | (~(((c&s)>s))|(c&i)) | 1 | 1 | 0 | 0 | entailment |
~(c) | (~(((c&s)>s))|(c&i)) | 0 | 0 | 0 | 0 | not entailment |
(i&(((f>(f&f))&a)&(i>c))) | (c>~((c>a))) | 0 | 1 | 1 | 0 | not entailment |
((c&i)|s) | ((i|((c|i)>((c&f)>a)))|s) | 1 | 0 | 0 | 0 | entailment |
(~((c&(s|f)))>c) | (c|~((~(~((i>((a|a)>f))))&~(a)))) | 1 | 0 | 0 | 0 | entailment |
((c&i)|s) | (c|~((~(~((i>((a|a)>f))))&~(a)))) | 0 | 0 | 0 | 0 | not entailment |
(~((c&(s|f)))>c) | ((i|((c|i)>((c&f)>a)))|s) | 0 | 0 | 0 | 0 | not entailment |
(i&~((i>c))) | ((a&f)|(s|(c>~((f|s))))) | 1 | 0 | 0 | 0 | entailment |
~((f>i)) | (((~(a)|(s&~(c)))>(f&c))|(((f&c)>i)&f)) | 1 | 0 | 0 | 0 | entailment |
(i&~((i>c))) | (((~(a)|(s&~(c)))>(f&c))|(((f&c)>i)&f)) | 0 | 0 | 0 | 0 | not entailment |
~((f>i)) | ((a&f)|(s|(c>~((f|s))))) | 0 | 0 | 0 | 0 | not entailment |
((~(w)>d)&(h&p)) | (~((a&~(g)))>(h|h)) | 1 | 0 | 0 | 0 | entailment |
~((g>~(~((((g|g)|w)>(p>a)))))) | ~(a) | 1 | 1 | 1 | 1 | entailment |
((~(w)>d)&(h&p)) | ~(a) | 0 | 1 | 0 | 0 | not entailment |
~((g>~(~((((g|g)|w)>(p>a)))))) | (~((a&~(g)))>(h|h)) | 0 | 1 | 0 | 0 | not entailment |
~((h>w)) | ~(~(((a|h)|a))) | 1 | 0 | 0 | 0 | entailment |
(d&d) | ((d|(a>g))|~(((a|((a&w)>g))&a))) | 1 | 0 | 0 | 0 | entailment |
~((h>w)) | ((d|(a>g))|~(((a|((a&w)>g))&a))) | 0 | 0 | 0 | 0 | not entailment |
(d&d) | ~(~(((a|h)|a))) | 0 | 0 | 0 | 0 | not entailment |
(~((((a&(h&g))|(a>a))>g))&((a|a)&p)) | ~(((w&~(d))&g)) | 1 | 1 | 0 | 0 | entailment |
((w&h)&~(d)) | (w>(~(h)>~(d))) | 1 | 0 | 1 | 0 | entailment |
(~((((a&(h&g))|(a>a))>g))&((a|a)&p)) | (w>(~(h)>~(d))) | 0 | 1 | 0 | 0 | not entailment |
((w&h)&~(d)) | ~(((w&~(d))&g)) | 0 | 0 | 0 | 0 | not entailment |
(~((w|(w&w)))&((g|g)&~(~(h)))) | ((((~(a)>(p|h))|d)>~((g|p)))>(w&g)) | 1 | 0 | 0 | 0 | entailment |
~(((~(a)&w)>g)) | (w|(~(h)&(((g>d)>w)|a))) | 1 | 0 | 0 | 0 | entailment |
(~((w|(w&w)))&((g|g)&~(~(h)))) | (w|(~(h)&(((g>d)>w)|a))) | 0 | 1 | 0 | 0 | not entailment |
~(((~(a)&w)>g)) | ((((~(a)>(p|h))|d)>~((g|p)))>(w&g)) | 0 | 0 | 0 | 0 | not entailment |
(~((~((d|d))&(h|a)))&(a&p)) | ((w|(w&h))|a) | 1 | 1 | 0 | 0 | entailment |
~((((p&h)&~((d&g)))|(h>((h|h)>a)))) | ~(((~(d)>((~(w)>(a>p))&(a|w)))&a)) | 1 | 1 | 0 | 0 | entailment |
(~((~((d|d))&(h|a)))&(a&p)) | ~(((~(d)>((~(w)>(a>p))&(a|w)))&a)) | 0 | 0 | 0 | 0 | not entailment |
~((((p&h)&~((d&g)))|(h>((h|h)>a)))) | ((w|(w&h))|a) | 0 | 1 | 0 | 0 | not entailment |
(h|~((d>(a>a)))) | ((h>a)>(a&a)) | 1 | 1 | 1 | 1 | entailment |
(d&g) | ~(((((a>h)|p)>~((p|~(w))))&~(g))) | 1 | 0 | 0 | 0 | entailment |
(h|~((d>(a>a)))) | ~(((((a>h)|p)>~((p|~(w))))&~(g))) | 0 | 0 | 0 | 0 | not entailment |
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