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 |
|---|---|---|---|---|---|---|
(((q>i)&(~(r)&q))&(i|(~((q|q))&i))) | ~((~((q>(o|q)))|((o|(i&q))&o))) | 0 | 1 | 0 | 0 | not entailment |
~(((i|((o&i)>q))&(((o&q)>o)&o))) | (i|o) | 0 | 1 | 1 | 1 | not entailment |
(g&(g>(g|~(t)))) | ~(~(g)) | 1 | 1 | 1 | 1 | entailment |
(((~(t)&(g|~(g)))>((g&g)&(t>t)))>t) | ((g|g)>(g&(t|t))) | 1 | 1 | 1 | 1 | entailment |
(g&(g>(g|~(t)))) | ((g|g)>(g&(t|t))) | 0 | 1 | 1 | 0 | not entailment |
(((~(t)&(g|~(g)))>((g&g)&(t>t)))>t) | ~(~(g)) | 0 | 1 | 1 | 1 | not entailment |
((t>t)>g) | (g&g) | 1 | 1 | 1 | 1 | entailment |
(t|t) | (g>~(~(t))) | 1 | 0 | 0 | 0 | entailment |
((t>t)>g) | (g>~(~(t))) | 0 | 0 | 1 | 0 | not entailment |
(t|t) | (g&g) | 0 | 1 | 0 | 0 | not entailment |
~((((g|t)>~(g))|(g>(t|t)))) | (g&~(((g>~(g))&g))) | 1 | 1 | 1 | 0 | entailment |
~(((g>g)>(t>(t&g)))) | ~(g) | 1 | 1 | 1 | 1 | entailment |
~((((g|t)>~(g))|(g>(t|t)))) | ~(g) | 0 | 1 | 1 | 0 | not entailment |
~(((g>g)>(t>(t&g)))) | (g&~(((g>~(g))&g))) | 0 | 1 | 1 | 1 | not entailment |
(t&((t|t)>g)) | ((t&~(g))|(t|(g&(t>t)))) | 1 | 0 | 1 | 0 | entailment |
~(((((g&t)>g)|t)&(~((~(t)&t))>(t|t)))) | (t>((g&~(g))&~(((~(g)&g)>g)))) | 1 | 1 | 1 | 1 | entailment |
(t&((t|t)>g)) | (t>((g&~(g))&~(((~(g)&g)>g)))) | 0 | 0 | 1 | 0 | not entailment |
~(((((g&t)>g)|t)&(~((~(t)&t))>(t|t)))) | ((t&~(g))|(t|(g&(t>t)))) | 0 | 1 | 1 | 1 | not entailment |
(((g|(t>g))>((g&(g|g))|(g>(g&t))))>g) | (~(~((t>t)))>(~(~(t))>g)) | 1 | 1 | 1 | 0 | entailment |
~(((g>~(t))>((t>g)|(t>(g&t))))) | ~(~((g>~((g|(t|((g|t)>(g>g)))))))) | 1 | 0 | 1 | 0 | entailment |
(((g|(t>g))>((g&(g|g))|(g>(g&t))))>g) | ~(~((g>~((g|(t|((g|t)>(g>g)))))))) | 0 | 1 | 1 | 0 | not entailment |
~(((g>~(t))>((t>g)|(t>(g&t))))) | (~(~((t>t)))>(~(~(t))>g)) | 0 | 1 | 1 | 0 | not entailment |
((g>g)>((t>t)>~(~(g)))) | ((g>t)>((g&t)&g)) | 1 | 1 | 1 | 1 | entailment |
~((~((~(t)>~((g|t))))|~((t&t)))) | ~(~((~(~(t))&(~(g)>t)))) | 1 | 1 | 1 | 0 | entailment |
((g>g)>((t>t)>~(~(g)))) | ~(~((~(~(t))&(~(g)>t)))) | 0 | 0 | 1 | 1 | not entailment |
~((~((~(t)>~((g|t))))|~((t&t)))) | ((g>t)>((g&t)&g)) | 0 | 1 | 1 | 0 | not entailment |
(t|t) | (g|t) | 1 | 1 | 0 | 0 | entailment |
(~((t>~(t)))>g) | (g|~(t)) | 1 | 1 | 1 | 1 | entailment |
(t|t) | (g|~(t)) | 0 | 0 | 0 | 0 | not entailment |
(~((t>~(t)))>g) | (g|t) | 0 | 1 | 1 | 0 | not entailment |
(g&(t&t)) | ((t|(t&t))|(~(~((g>(g>(g&g)))))&t)) | 1 | 0 | 1 | 0 | entailment |
~((~((t>(g>(t|g))))|(t&t))) | (g>~(t)) | 1 | 1 | 1 | 1 | entailment |
(g&(t&t)) | (g>~(t)) | 0 | 1 | 1 | 0 | not entailment |
~((~((t>(g>(t|g))))|(t&t))) | ((t|(t&t))|(~(~((g>(g>(g&g)))))&t)) | 0 | 0 | 1 | 1 | not entailment |
~(((g&((g>g)&((g>g)>g)))|~(t))) | (g|((g|g)|t)) | 1 | 1 | 1 | 1 | entailment |
~(t) | (((~(g)>((t>t)&~(g)))|g)>(t>g)) | 1 | 0 | 0 | 0 | entailment |
~(((g&((g>g)&((g>g)>g)))|~(t))) | (((~(g)>((t>t)&~(g)))|g)>(t>g)) | 0 | 1 | 1 | 0 | not entailment |
~(t) | (g|((g|g)|t)) | 0 | 0 | 0 | 0 | not entailment |
~((((t&t)|(g>~(g)))>((g|t)&g))) | ~(g) | 1 | 1 | 1 | 1 | entailment |
~((g>((~((g&t))|~(t))&g))) | ((g&g)&t) | 1 | 1 | 1 | 1 | entailment |
~((((t&t)|(g>~(g)))>((g|t)&g))) | ((g&g)&t) | 0 | 1 | 1 | 0 | not entailment |
~((g>((~((g&t))|~(t))&g))) | ~(g) | 0 | 1 | 1 | 1 | not entailment |
((t>g)>(t&t)) | ((g>g)>(g>t)) | 1 | 1 | 1 | 0 | entailment |
(((~(t)>g)&(g&(g|t)))&(t|(g&g))) | (g|~(((g&g)|t))) | 1 | 1 | 1 | 0 | entailment |
((t>g)>(t&t)) | (g|~(((g&g)|t))) | 0 | 0 | 1 | 0 | not entailment |
(((~(t)>g)&(g&(g|t)))&(t|(g&g))) | ((g>g)>(g>t)) | 0 | 1 | 1 | 0 | not entailment |
(i&v) | (i|h) | 1 | 1 | 0 | 0 | entailment |
~((~((~(z)&h))>p)) | ((w&f)|(m>~(p))) | 1 | 1 | 0 | 0 | entailment |
(i&v) | ((w&f)|(m>~(p))) | 0 | 0 | 0 | 0 | not entailment |
~((~((~(z)&h))>p)) | (i|h) | 0 | 1 | 0 | 0 | not entailment |
~(~((z&~(((v|z)&v))))) | ((~(((h|w)|(~(n)>m)))&(v|v))>p) | 1 | 0 | 0 | 0 | entailment |
~((p&p)) | ((l&m)|~(p)) | 1 | 0 | 0 | 0 | entailment |
~(~((z&~(((v|z)&v))))) | ((l&m)|~(p)) | 0 | 1 | 0 | 0 | not entailment |
~((p&p)) | ((~(((h|w)|(~(n)>m)))&(v|v))>p) | 0 | 0 | 0 | 0 | not entailment |
(~((~(~(p))&(~(i)|p)))&(i|z)) | ((f>v)>((~(i)&p)>(z&(n>z)))) | 1 | 1 | 0 | 0 | entailment |
(p&(w>z)) | (((f>~(~(((p|m)&h))))>p)>p) | 1 | 0 | 0 | 0 | entailment |
(~((~(~(p))&(~(i)|p)))&(i|z)) | (((f>~(~(((p|m)&h))))>p)>p) | 0 | 1 | 0 | 0 | not entailment |
(p&(w>z)) | ((f>v)>((~(i)&p)>(z&(n>z)))) | 0 | 0 | 0 | 0 | not entailment |
~((((z&i)&(i>v))>(l&i))) | (((f>n)&(v|l))>~((~(z)&i))) | 1 | 0 | 0 | 0 | entailment |
(f&(~(~((f>w)))>(l|z))) | ((~(m)|~(((i&(v>w))&n)))>(f|~(~(n)))) | 1 | 0 | 0 | 0 | entailment |
~((((z&i)&(i>v))>(l&i))) | ((~(m)|~(((i&(v>w))&n)))>(f|~(~(n)))) | 0 | 0 | 0 | 0 | not entailment |
(f&(~(~((f>w)))>(l|z))) | (((f>n)&(v|l))>~((~(z)&i))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~((w>p))))&((v&w)&(w&m))) | (((l>i)>(((h|w)>(f|v))|i))|l) | 1 | 1 | 0 | 0 | entailment |
~((m>(((z>w)|p)&h))) | (h>((n>(n&(z|~(i))))>(w>z))) | 1 | 0 | 0 | 0 | entailment |
(~(~(~((w>p))))&((v&w)&(w&m))) | (h>((n>(n&(z|~(i))))>(w>z))) | 0 | 1 | 0 | 0 | not entailment |
~((m>(((z>w)|p)&h))) | (((l>i)>(((h|w)>(f|v))|i))|l) | 0 | 0 | 0 | 0 | not entailment |
(i&(n&(f|v))) | ~(~((z|i))) | 1 | 1 | 0 | 0 | entailment |
(((i&h)&~(((i&n)|(p>i))))|(p|z)) | ((~((~(v)&~(h)))>(f|p))|z) | 1 | 1 | 0 | 0 | entailment |
(i&(n&(f|v))) | ((~((~(v)&~(h)))>(f|p))|z) | 0 | 0 | 0 | 0 | not entailment |
(((i&h)&~(((i&n)|(p>i))))|(p|z)) | ~(~((z|i))) | 0 | 1 | 1 | 1 | not entailment |
~(((f>(i>(~(i)|l)))|(p|w))) | (w>m) | 1 | 1 | 0 | 0 | entailment |
~(m) | (m>((p&((i>n)|~(p)))|h)) | 1 | 0 | 0 | 0 | entailment |
~(((f>(i>(~(i)|l)))|(p|w))) | (m>((p&((i>n)|~(p)))|h)) | 0 | 1 | 0 | 0 | not entailment |
((h|i)&z) | (~(z)>~(w)) | 1 | 0 | 0 | 0 | entailment |
~(((f&(p&f))>h)) | ~((p>(~(~(~((((m>f)&i)|n))))&(h|n)))) | 1 | 0 | 0 | 0 | entailment |
((h|i)&z) | ~((p>(~(~(~((((m>f)&i)|n))))&(h|n)))) | 0 | 0 | 0 | 0 | not entailment |
~(((f&(p&f))>h)) | (~(z)>~(w)) | 0 | 1 | 0 | 0 | not entailment |
(f&((((w>h)>h)|~(v))&p)) | ((m&w)>(((i>(f|~(n)))&w)>p)) | 1 | 0 | 0 | 0 | entailment |
~((z&(((h|p)>z)>~(~((w>z)))))) | ~(z) | 1 | 1 | 1 | 1 | entailment |
(f&((((w>h)>h)|~(v))&p)) | ~(z) | 0 | 1 | 0 | 0 | not entailment |
~((z&(((h|p)>z)>~(~((w>z)))))) | ((m&w)>(((i>(f|~(n)))&w)>p)) | 0 | 1 | 0 | 0 | not entailment |
(((w&n)>(w|z))>z) | (~((n&n))|z) | 1 | 1 | 1 | 0 | entailment |
(((m&~((~(w)|z)))&l)&(h&(h|l))) | (~((i&(w>((p>z)&h))))>(~(n)|(i>(f|p)))) | 1 | 0 | 0 | 0 | entailment |
(((w&n)>(w|z))>z) | (~((i&(w>((p>z)&h))))>(~(n)|(i>(f|p)))) | 0 | 0 | 0 | 0 | not entailment |
(((m&~((~(w)|z)))&l)&(h&(h|l))) | (~((n&n))|z) | 0 | 1 | 0 | 0 | not entailment |
(z|(m|(z|w))) | ((~(m)>((n|z)|z))|w) | 1 | 0 | 0 | 0 | entailment |
(v&(h&~(l))) | ((~(p)|(m|v))&(i|v)) | 1 | 0 | 0 | 0 | entailment |
(z|(m|(z|w))) | ((~(p)|(m|v))&(i|v)) | 0 | 0 | 0 | 0 | not entailment |
(v&(h&~(l))) | ((~(m)>((n|z)|z))|w) | 0 | 0 | 0 | 0 | not entailment |
~(((n|n)>(v|l))) | (~(((((z|h)|~(f))&(v&p))&n))|~((m|n))) | 1 | 0 | 0 | 0 | entailment |
((((((h>h)|h)|p)&(h&p))&z)&(l&(n|f))) | (((m&z)>(i&w))>z) | 1 | 1 | 0 | 0 | entailment |
~(((n|n)>(v|l))) | (((m&z)>(i&w))>z) | 0 | 1 | 0 | 0 | not entailment |
((((((h>h)|h)|p)&(h&p))&z)&(l&(n|f))) | (~(((((z|h)|~(f))&(v&p))&n))|~((m|n))) | 0 | 0 | 0 | 0 | not entailment |
((n>(p|v))>(z&w)) | ((n|l)|((l&p)|((n|(n|w))|i))) | 1 | 0 | 0 | 0 | entailment |
(n|h) | ((n|~(z))|~((z>~((l>h))))) | 1 | 0 | 0 | 0 | entailment |
((n>(p|v))>(z&w)) | ((n|~(z))|~((z>~((l>h))))) | 0 | 0 | 0 | 0 | not entailment |
(n|h) | ((n|l)|((l&p)|((n|(n|w))|i))) | 0 | 0 | 0 | 0 | not entailment |
((z&l)&~(m)) | ((((w>i)|(v>z))&z)|(v&((i>p)&(p>n)))) | 1 | 0 | 0 | 0 | entailment |
(m|(n&m)) | ~(~((~(h)|m))) | 1 | 0 | 0 | 0 | entailment |
((z&l)&~(m)) | ~(~((~(h)|m))) | 0 | 0 | 0 | 0 | not entailment |
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