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&~(~(e))) | (i|~(~((y>(g>(h&i)))))) | 0 | 0 | 0 | 0 | not entailment |
(w&i) | (y|e) | 0 | 1 | 0 | 0 | not entailment |
(e|e) | ((v&~((e&(w>~(h)))))>((h&e)&e)) | 1 | 0 | 0 | 0 | entailment |
~(e) | (~((e>w))>(i&((i|i)&(e>w)))) | 1 | 0 | 0 | 0 | entailment |
(e|e) | (~((e>w))>(i&((i|i)&(e>w)))) | 0 | 0 | 0 | 0 | not entailment |
~(e) | ((v&~((e&(w>~(h)))))>((h&e)&e)) | 0 | 0 | 0 | 0 | not entailment |
((((i|e)&y)|(~(w)&h))&~((w>i))) | (y&e) | 1 | 1 | 1 | 1 | entailment |
(v|v) | (v|~((i|(y&w)))) | 1 | 0 | 0 | 0 | entailment |
((((i|e)&y)|(~(w)&h))&~((w>i))) | (v|~((i|(y&w)))) | 0 | 1 | 0 | 0 | not entailment |
(v|v) | (y&e) | 0 | 1 | 0 | 0 | not entailment |
~((((~(w)>~(y))&w)>~(~(~((y|y)))))) | (((g>(y|e))|v)&(w|~((h>v)))) | 1 | 1 | 0 | 0 | entailment |
~((((~(h)&(g&e))>~(((e>i)>~(i))))>v)) | (v>(g|h)) | 1 | 1 | 1 | 0 | entailment |
~((((~(w)>~(y))&w)>~(~(~((y|y)))))) | (v>(g|h)) | 0 | 1 | 0 | 0 | not entailment |
~((((~(h)&(g&e))>~(((e>i)>~(i))))>v)) | (((g>(y|e))|v)&(w|~((h>v)))) | 0 | 1 | 0 | 0 | not entailment |
(((~(((v|y)>~((g>w))))&h)&~((i|v)))&w) | ~(~(((y&y)|((w|e)>(v|g))))) | 1 | 1 | 0 | 0 | entailment |
~(h) | ~((h&(y|((~(h)|h)&(g&~(h)))))) | 1 | 0 | 0 | 0 | entailment |
(((~(((v|y)>~((g>w))))&h)&~((i|v)))&w) | ~((h&(y|((~(h)|h)&(g&~(h)))))) | 0 | 1 | 1 | 0 | not entailment |
~(h) | ~(~(((y&y)|((w|e)>(v|g))))) | 0 | 0 | 0 | 0 | not entailment |
~(((~(((f&r)|(d>y)))|~((y>h)))|g)) | (d|(h|(g>d))) | 1 | 1 | 1 | 0 | entailment |
(((((h|(r|y))>d)&(h>g))|g)&o) | (~((r&~((o|~(f)))))|g) | 1 | 1 | 0 | 0 | entailment |
~(((~(((f&r)|(d>y)))|~((y>h)))|g)) | (~((r&~((o|~(f)))))|g) | 0 | 1 | 0 | 0 | not entailment |
(((((h|(r|y))>d)&(h>g))|g)&o) | (d|(h|(g>d))) | 0 | 1 | 1 | 0 | not entailment |
~(((f>d)|~((h|h)))) | (((f>d)|(d|d))>(y&g)) | 1 | 1 | 0 | 0 | entailment |
(((d>y)|~((y&(o|d))))>o) | (~(o)>(h>o)) | 1 | 1 | 0 | 0 | entailment |
~(((f>d)|~((h|h)))) | (~(o)>(h>o)) | 0 | 1 | 0 | 0 | not entailment |
(((d>y)|~((y&(o|d))))>o) | (((f>d)|(d|d))>(y&g)) | 0 | 1 | 0 | 0 | not entailment |
~((f>h)) | (y>f) | 1 | 1 | 0 | 0 | entailment |
(~((d>(~(~(r))&(o|r))))&g) | (~(~(((f>d)|h)))&~(~((r>d)))) | 1 | 0 | 0 | 0 | entailment |
~((f>h)) | (~(~(((f>d)|h)))&~(~((r>d)))) | 0 | 0 | 0 | 0 | not entailment |
(~((d>(~(~(r))&(o|r))))&g) | (y>f) | 0 | 1 | 0 | 0 | not entailment |
~(~(o)) | (o|(d|o)) | 1 | 1 | 0 | 0 | entailment |
~(~(((g&~(o))&(d>~((h>h)))))) | ~(o) | 1 | 1 | 1 | 1 | entailment |
~(~(((g&~(o))&(d>~((h>h)))))) | (o|(d|o)) | 0 | 1 | 1 | 0 | not entailment |
~(((((f|f)|(r>r))&f)&((g>h)|g))) | (~((f&r))|((h&(d&o))&(r>y))) | 1 | 1 | 0 | 0 | entailment |
((h|(d|d))&d) | (r>(d|h)) | 1 | 1 | 0 | 0 | entailment |
~(((((f|f)|(r>r))&f)&((g>h)|g))) | (r>(d|h)) | 0 | 1 | 0 | 0 | not entailment |
((h|(d|d))&d) | (~((f&r))|((h&(d&o))&(r>y))) | 0 | 0 | 0 | 0 | not entailment |
~((((f>r)&g)|(~(g)>(r|h)))) | ~(((h&(y|r))&~((((f&d)&g)>~(f))))) | 1 | 0 | 0 | 0 | entailment |
~((r>(y&(h>r)))) | (((h|(o&d))&h)|(((r>y)>d)|g)) | 1 | 0 | 0 | 0 | entailment |
~((((f>r)&g)|(~(g)>(r|h)))) | (((h|(o&d))&h)|(((r>y)>d)|g)) | 0 | 1 | 0 | 0 | not entailment |
~((r>(y&(h>r)))) | ~(((h&(y|r))&~((((f&d)&g)>~(f))))) | 0 | 0 | 0 | 0 | not entailment |
((((d|f)&~(((y|g)&d)))&(d&r))&h) | ~(((((g>f)|~(r))&(r|o))>((f&d)&(h>g)))) | 1 | 0 | 0 | 0 | entailment |
(g&g) | (r>(h>g)) | 1 | 0 | 0 | 0 | entailment |
((((d|f)&~(((y|g)&d)))&(d&r))&h) | (r>(h>g)) | 0 | 1 | 1 | 0 | not entailment |
(g&g) | ~(((((g>f)|~(r))&(r|o))>((f&d)&(h>g)))) | 0 | 0 | 0 | 0 | not entailment |
~(r) | (g>(r>f)) | 1 | 0 | 0 | 0 | entailment |
(r&y) | (d>(y>(g>r))) | 1 | 0 | 0 | 0 | entailment |
~(r) | (d>(y>(g>r))) | 0 | 0 | 0 | 0 | not entailment |
(r&y) | (g>(r>f)) | 0 | 0 | 0 | 0 | not entailment |
(h&~((~((((h>g)|(y&h))&f))|(r>y)))) | (~(r)>(~(h)|(y>g))) | 1 | 1 | 1 | 1 | entailment |
~((d>r)) | (((o|d)|~(((((f>f)|d)|y)&g)))|d) | 1 | 0 | 0 | 0 | entailment |
(h&~((~((((h>g)|(y&h))&f))|(r>y)))) | (((o|d)|~(((((f>f)|d)|y)&g)))|d) | 0 | 1 | 0 | 0 | not entailment |
~((d>r)) | (~(r)>(~(h)|(y>g))) | 0 | 0 | 0 | 0 | not entailment |
~(~((~(d)&(r&r)))) | ~((d&y)) | 1 | 1 | 0 | 0 | entailment |
~(((g>((h|f)>~(((h>d)>y))))>(g>~(g)))) | ((g&(g>h))|g) | 1 | 1 | 1 | 0 | entailment |
~(~((~(d)&(r&r)))) | ((g&(g>h))|g) | 0 | 1 | 0 | 0 | not entailment |
~(((g>((h|f)>~(((h>d)>y))))>(g>~(g)))) | ~((d&y)) | 0 | 1 | 1 | 0 | not entailment |
(o&~(~(~((f&(~(((f|r)&~(o)))>y)))))) | (((y&((g|d)&f))&d)>(~(h)>((o|f)>r))) | 1 | 1 | 0 | 0 | entailment |
(~((~((r>h))&((y>y)>f)))&((y&o)&(d|d))) | ((~(~(~(r)))|(d|h))|h) | 1 | 1 | 1 | 1 | entailment |
(o&~(~(~((f&(~(((f|r)&~(o)))>y)))))) | ((~(~(~(r)))|(d|h))|h) | 0 | 1 | 0 | 0 | not entailment |
(~((~((r>h))&((y>y)>f)))&((y&o)&(d|d))) | (((y&((g|d)&f))&d)>(~(h)>((o|f)>r))) | 0 | 1 | 0 | 0 | not entailment |
((o&(r&(f|g)))&(((g>o)|f)>(o>h))) | (r|g) | 1 | 1 | 1 | 1 | entailment |
(((y>h)&((r|h)&(r>r)))&(y&((o|g)&(y|h)))) | (g>(y&y)) | 1 | 1 | 1 | 0 | entailment |
((o&(r&(f|g)))&(((g>o)|f)>(o>h))) | (g>(y&y)) | 0 | 1 | 0 | 0 | not entailment |
(((y>h)&((r|h)&(r>r)))&(y&((o|g)&(y|h)))) | (r|g) | 0 | 1 | 1 | 1 | not entailment |
(r&(r&y)) | (d|~(~((r|f)))) | 1 | 0 | 0 | 0 | entailment |
~(f) | (f>(((f>(h&d))>~(f))&(~(f)>y))) | 1 | 0 | 0 | 0 | entailment |
(r&(r&y)) | (f>(((f>(h&d))>~(f))&(~(f)>y))) | 0 | 0 | 0 | 0 | not entailment |
~(f) | (d|~(~((r|f)))) | 0 | 0 | 0 | 0 | not entailment |
~((g&g)) | ~((((h|y)&((h|y)&~((g>r))))&(y|f))) | 1 | 0 | 0 | 0 | entailment |
~((y>o)) | (~(f)|y) | 1 | 1 | 0 | 0 | entailment |
~((g&g)) | (~(f)|y) | 0 | 1 | 0 | 0 | not entailment |
~((y>o)) | ~((((h|y)&((h|y)&~((g>r))))&(y|f))) | 0 | 0 | 0 | 0 | not entailment |
~((g|y)) | ~(y) | 1 | 1 | 1 | 1 | entailment |
~((d|((~(r)|o)&~(~(~(d)))))) | ((o>(h|y))|d) | 1 | 1 | 0 | 0 | entailment |
~((g|y)) | ((o>(h|y))|d) | 0 | 0 | 0 | 0 | not entailment |
~((d|((~(r)|o)&~(~(~(d)))))) | ~(y) | 0 | 1 | 0 | 0 | not entailment |
((h>(y>d))>(~((h&y))&(y&y))) | (~(g)|y) | 1 | 1 | 0 | 0 | entailment |
(~((~(((d&r)|r))|o))&(f|f)) | ((~(~(((g|h)&h)))>(g>r))|(h&o)) | 1 | 0 | 0 | 0 | entailment |
((h>(y>d))>(~((h&y))&(y&y))) | ((~(~(((g|h)&h)))>(g>r))|(h&o)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(((d&r)|r))|o))&(f|f)) | (~(g)|y) | 0 | 1 | 0 | 0 | not entailment |
((~(~(o))&y)&(y|(((f>(y>g))&g)&f))) | ((d>(f>f))&(((f>h)>(f>(d>y)))&~(~(o)))) | 1 | 0 | 0 | 0 | entailment |
(g&((r|o)|(r|o))) | ~(~((~(d)>(g|r)))) | 1 | 0 | 0 | 0 | entailment |
((~(~(o))&y)&(y|(((f>(y>g))&g)&f))) | ~(~((~(d)>(g|r)))) | 0 | 1 | 0 | 0 | not entailment |
(g&((r|o)|(r|o))) | ((d>(f>f))&(((f>h)>(f>(d>y)))&~(~(o)))) | 0 | 0 | 0 | 0 | not entailment |
(~(d)&~((f&(~(y)|~((~(o)|(h>g))))))) | ((d&g)>o) | 1 | 1 | 1 | 0 | entailment |
((((d&g)&((g&h)|y))&y)|(y&r)) | (h>(y|~(~((f&~(~(d))))))) | 1 | 1 | 0 | 0 | entailment |
(~(d)&~((f&(~(y)|~((~(o)|(h>g))))))) | (h>(y|~(~((f&~(~(d))))))) | 0 | 1 | 1 | 0 | not entailment |
((((d&g)&((g&h)|y))&y)|(y&r)) | ((d&g)>o) | 0 | 1 | 0 | 0 | not entailment |
((((h&h)&d)&f)&(g>((r|r)&d))) | (((o|~(~(d)))|g)>(f|h)) | 1 | 1 | 0 | 0 | entailment |
~((g&(g&(r>d)))) | (d>(g>~((g&~((r>y)))))) | 1 | 0 | 0 | 0 | entailment |
((((h&h)&d)&f)&(g>((r|r)&d))) | (d>(g>~((g&~((r>y)))))) | 0 | 1 | 0 | 0 | not entailment |
~((g&(g&(r>d)))) | (((o|~(~(d)))|g)>(f|h)) | 0 | 0 | 0 | 0 | not entailment |
((~((d|r))|d)>~(((y>f)|r))) | ((~(y)>r)|~((~((h>d))|r))) | 1 | 1 | 0 | 0 | entailment |
((g|((y>~(y))|g))>~((g|r))) | ((g&y)>(h>o)) | 1 | 1 | 0 | 0 | entailment |
((~((d|r))|d)>~(((y>f)|r))) | ((g&y)>(h>o)) | 0 | 1 | 0 | 0 | not entailment |
((g|((y>~(y))|g))>~((g|r))) | ((~(y)>r)|~((~((h>d))|r))) | 0 | 1 | 0 | 0 | not entailment |
(((c|c)|~(c))>(c&(~((c>c))>(c&c)))) | (c&((c>(c&~(c)))>c)) | 1 | 1 | 1 | 1 | entailment |
~(((c&c)|c)) | (c>~((c|((c&c)&~(c))))) | 1 | 0 | 1 | 0 | entailment |
(((c|c)|~(c))>(c&(~((c>c))>(c&c)))) | (c>~((c|((c&c)&~(c))))) | 0 | 1 | 1 | 1 | not entailment |
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