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&x) | ((~(~((x&v)))|h)|((((q>g)|h)>g)>z)) | 0 | 0 | 0 | 0 | not entailment |
~(((d|d)|~((g&~(v))))) | (~(~((((d|g)>d)&q)))|(v>h)) | 1 | 0 | 0 | 0 | entailment |
(d&(((g>(((d&h)>(x>h))|w))>h)>~((i|d)))) | (((((h>h)&q)&(x&x))|v)>d) | 1 | 1 | 0 | 0 | entailment |
~(((d|d)|~((g&~(v))))) | (((((h>h)&q)&(x&x))|v)>d) | 0 | 1 | 0 | 0 | not entailment |
(d&(((g>(((d&h)>(x>h))|w))>h)>~((i|d)))) | (~(~((((d|g)>d)&q)))|(v>h)) | 0 | 1 | 0 | 0 | not entailment |
(h|h) | (h&((i|(g&i))|(((z|h)>(z|v))>h))) | 1 | 0 | 0 | 0 | entailment |
~(~(z)) | (w|(z|~(q))) | 1 | 0 | 0 | 0 | entailment |
(h|h) | (w|(z|~(q))) | 0 | 0 | 0 | 0 | not entailment |
~(~(z)) | (h&((i|(g&i))|(((z|h)>(z|v))>h))) | 0 | 0 | 0 | 0 | not entailment |
(((d|h)|h)&((i>((q&z)>((h>d)|q)))>z)) | ((w>((g>x)|z))|(w&(~((v&w))>q))) | 1 | 1 | 0 | 0 | entailment |
(((d|d)|~((((x>v)>d)&x)))&~(v)) | (g|(v>w)) | 1 | 1 | 0 | 0 | entailment |
(((d|h)|h)&((i>((q&z)>((h>d)|q)))>z)) | (g|(v>w)) | 0 | 1 | 0 | 0 | not entailment |
(((d|d)|~((((x>v)>d)&x)))&~(v)) | ((w>((g>x)|z))|(w&(~((v&w))>q))) | 0 | 1 | 0 | 0 | not entailment |
(((g>z)&(w|((q|x)|~(x))))&v) | ~(~(v)) | 1 | 1 | 1 | 1 | entailment |
~((d>(x|v))) | (x>i) | 1 | 1 | 0 | 0 | entailment |
(((g>z)&(w|((q|x)|~(x))))&v) | (x>i) | 0 | 1 | 0 | 0 | not entailment |
~((d>(x|v))) | ~(~(v)) | 0 | 1 | 1 | 0 | not entailment |
((w|~(((w>h)|w)))&(w>v)) | (~(w)>((d>~(d))>(d|z))) | 1 | 1 | 0 | 0 | entailment |
(~(z)&(~((h|x))&(v|v))) | ~(z) | 1 | 1 | 1 | 1 | entailment |
((w|~(((w>h)|w)))&(w>v)) | ~(z) | 0 | 1 | 0 | 0 | not entailment |
(~(z)&(~((h|x))&(v|v))) | (~(w)>((d>~(d))>(d|z))) | 0 | 1 | 0 | 0 | not entailment |
~((((w|q)&(d>v))|(((x|z)>(i>h))|~(w)))) | (((q|i)>~(w))>z) | 1 | 1 | 1 | 0 | entailment |
(((z>i)&(i&q))&i) | (((x>g)&z)>(d>((q>x)>q))) | 1 | 0 | 0 | 0 | entailment |
~((((w|q)&(d>v))|(((x|z)>(i>h))|~(w)))) | (((x>g)&z)>(d>((q>x)>q))) | 0 | 1 | 0 | 0 | not entailment |
(((z>i)&(i&q))&i) | (((q|i)>~(w))>z) | 0 | 1 | 0 | 0 | not entailment |
~(h) | ((h&(z&g))>(~(z)|q)) | 1 | 0 | 0 | 0 | entailment |
~(((d|w)|~(((~(v)|~((g>(v|i))))&x)))) | (v>(q|(~((h|h))>~(d)))) | 1 | 1 | 0 | 0 | entailment |
~(h) | (v>(q|(~((h|h))>~(d)))) | 0 | 0 | 0 | 0 | not entailment |
~(((d|w)|~(((~(v)|~((g>(v|i))))&x)))) | ((h&(z&g))>(~(z)|q)) | 0 | 1 | 0 | 0 | not entailment |
(x&(q|((~(h)|z)&h))) | (x|z) | 1 | 1 | 1 | 1 | entailment |
~(~(~(~(~(((h>z)>(v|(h|v)))))))) | (x>((h&(~(w)|x))>w)) | 1 | 1 | 0 | 0 | entailment |
(x&(q|((~(h)|z)&h))) | (x>((h&(~(w)|x))>w)) | 0 | 1 | 0 | 0 | not entailment |
~(~(~(~(~(((h>z)>(v|(h|v)))))))) | (x|z) | 0 | 1 | 0 | 0 | not entailment |
~(((v&q)|(g|~(~(x))))) | ((q&((g|z)&v))>~(~(~((x&~(d)))))) | 1 | 0 | 0 | 0 | entailment |
~(((((~(~(v))|z)&~(q))>~(g))>z)) | ((~(x)>~(q))>~(z)) | 1 | 1 | 0 | 0 | entailment |
~(((v&q)|(g|~(~(x))))) | ((~(x)>~(q))>~(z)) | 0 | 1 | 0 | 0 | not entailment |
~(((((~(~(v))|z)&~(q))>~(g))>z)) | ((q&((g|z)&v))>~(~(~((x&~(d)))))) | 0 | 1 | 0 | 0 | not entailment |
((x|(q&v))&~(z)) | ((((z>x)>h)&g)>(q|h)) | 1 | 0 | 0 | 0 | entailment |
~(((((w&h)>((i|g)|i))&d)>((x>z)&~(z)))) | (~(d)>(((~((q|v))&h)&x)&(q|g))) | 1 | 1 | 0 | 0 | entailment |
((x|(q&v))&~(z)) | (~(d)>(((~((q|v))&h)&x)&(q|g))) | 0 | 0 | 0 | 0 | not entailment |
~(((((w&h)>((i|g)|i))&d)>((x>z)&~(z)))) | ((((z>x)>h)&g)>(q|h)) | 0 | 1 | 0 | 0 | not entailment |
((((w&v)&~((d&h)))|w)&(d&~(~(g)))) | (~(d)|w) | 1 | 1 | 1 | 1 | entailment |
~((g>v)) | (((v|h)|v)>h) | 1 | 0 | 0 | 0 | entailment |
((((w&v)&~((d&h)))|w)&(d&~(~(g)))) | (((v|h)|v)>h) | 0 | 1 | 1 | 0 | not entailment |
~((g>v)) | (~(d)|w) | 0 | 1 | 0 | 0 | not entailment |
(((d|~(d))&z)&(~((q>i))&((g&q)&(g|h)))) | ((((v&~((w>z)))|g)|(z&~((g|x))))>g) | 1 | 1 | 0 | 0 | entailment |
((~(q)&((x|q)&((d>g)|x)))&v) | ((q|q)>((x>h)|h)) | 1 | 1 | 0 | 0 | entailment |
(((d|~(d))&z)&(~((q>i))&((g&q)&(g|h)))) | ((q|q)>((x>h)|h)) | 0 | 1 | 0 | 0 | not entailment |
((~(q)&((x|q)&((d>g)|x)))&v) | ((((v&~((w>z)))|g)|(z&~((g|x))))>g) | 0 | 0 | 0 | 0 | not entailment |
((d&i)&(q>(i|v))) | ((w|~(w))&i) | 1 | 1 | 0 | 0 | entailment |
~((~(((x>q)|(g&g)))>q)) | ~(g) | 1 | 1 | 1 | 1 | entailment |
((d&i)&(q>(i|v))) | ~(g) | 0 | 1 | 0 | 0 | not entailment |
~((~(((x>q)|(g&g)))>q)) | ((w|~(w))&i) | 0 | 1 | 0 | 0 | not entailment |
~(((~(d)>~(h))|~((z&~(x))))) | ((x&i)>(~((z|(v>g)))>((i&~((v&v)))|h))) | 1 | 0 | 0 | 0 | entailment |
(~((x&z))&x) | ((i|~(i))&(~((i|i))>((h>x)|q))) | 1 | 0 | 0 | 0 | entailment |
~(((~(d)>~(h))|~((z&~(x))))) | ((i|~(i))&(~((i|i))>((h>x)|q))) | 0 | 1 | 0 | 0 | not entailment |
(~((x&z))&x) | ((x&i)>(~((z|(v>g)))>((i&~((v&v)))|h))) | 0 | 0 | 0 | 0 | not entailment |
~(~(~(((w|h)>(((z|~(v))&g)>w))))) | ((v&h)>(q>(h>(w|g)))) | 1 | 1 | 0 | 0 | entailment |
~(~(((~((v>g))&x)&(q|x)))) | (x|((h&z)>i)) | 1 | 1 | 0 | 0 | entailment |
~(~(~(((w|h)>(((z|~(v))&g)>w))))) | (x|((h&z)>i)) | 0 | 1 | 0 | 0 | not entailment |
~(~(((~((v>g))&x)&(q|x)))) | ((v&h)>(q>(h>(w|g)))) | 0 | 1 | 0 | 0 | not entailment |
((i>((~(r)|i)>x))&((q|(q&q))&(i|r))) | (((x|q)&x)|q) | 1 | 1 | 1 | 1 | entailment |
(i&r) | ~(~((~(r)|(((r>i)&i)&(x|i))))) | 1 | 0 | 0 | 0 | entailment |
((i>((~(r)|i)>x))&((q|(q&q))&(i|r))) | ~(~((~(r)|(((r>i)&i)&(x|i))))) | 0 | 1 | 1 | 0 | not entailment |
(i&r) | (((x|q)&x)|q) | 0 | 0 | 0 | 0 | not entailment |
((x>(i>i))>q) | ((~(~(((i>q)>q)))|x)|(i&r)) | 1 | 0 | 0 | 0 | entailment |
~((~(~(r))>(x|i))) | (~((q&~((q&q))))&r) | 1 | 1 | 0 | 0 | entailment |
((x>(i>i))>q) | (~((q&~((q&q))))&r) | 0 | 0 | 0 | 0 | not entailment |
~((~(~(r))>(x|i))) | ((~(~(((i>q)>q)))|x)|(i&r)) | 0 | 0 | 0 | 0 | not entailment |
(i&x) | (((q|x)|~(r))|~(((r|(x&i))>((i&x)|i)))) | 1 | 0 | 0 | 0 | entailment |
~(~(((i>q)>~(((i>q)>(~(i)|q)))))) | ((i&(x&x))>~(q)) | 1 | 1 | 0 | 0 | entailment |
(i&x) | ((i&(x&x))>~(q)) | 0 | 0 | 0 | 0 | not entailment |
~(~(((i>q)>~(((i>q)>(~(i)|q)))))) | (((q|x)|~(r))|~(((r|(x&i))>((i&x)|i)))) | 0 | 0 | 0 | 0 | not entailment |
(((((~(r)&x)|(x|~(r)))|r)&(r>x))&(q&x)) | (q|~(r)) | 1 | 1 | 1 | 1 | entailment |
(r&i) | ((x>i)&((i>i)|((((x&(r>i))>q)&x)&i))) | 1 | 0 | 0 | 0 | entailment |
(((((~(r)&x)|(x|~(r)))|r)&(r>x))&(q&x)) | ((x>i)&((i>i)|((((x&(r>i))>q)&x)&i))) | 0 | 1 | 0 | 0 | not entailment |
(r&i) | (q|~(r)) | 0 | 0 | 0 | 0 | not entailment |
(~((~(q)>x))&((~(x)&i)&~(~((i|i))))) | ((q>i)>(q>((q&x)|x))) | 1 | 1 | 1 | 0 | entailment |
(q&q) | (q|x) | 1 | 1 | 0 | 0 | entailment |
(~((~(q)>x))&((~(x)&i)&~(~((i|i))))) | (q|x) | 0 | 1 | 1 | 0 | not entailment |
(q&q) | ((q>i)>(q>((q&x)|x))) | 0 | 0 | 0 | 0 | not entailment |
~((x>((i&i)|((q&(i>x))|r)))) | ~(((i>r)>i)) | 1 | 1 | 1 | 0 | entailment |
(((r&i)|(q>~(i)))&(q&x)) | (~(~((i|q)))&(r|~(r))) | 1 | 1 | 1 | 0 | entailment |
~((x>((i&i)|((q&(i>x))|r)))) | (~(~((i|q)))&(r|~(r))) | 0 | 1 | 1 | 0 | not entailment |
(((r&i)|(q>~(i)))&(q&x)) | ~(((i>r)>i)) | 0 | 1 | 1 | 1 | not entailment |
(x&(~((r|q))>~(((~(i)>(r&r))&(q|x))))) | ~(~((i|x))) | 1 | 1 | 1 | 0 | entailment |
((q|q)&~((q&r))) | ~(((((x&~((i&x)))|x)|(i>q))>(x&(r&i)))) | 1 | 0 | 0 | 0 | entailment |
(x&(~((r|q))>~(((~(i)>(r&r))&(q|x))))) | ~(((((x&~((i&x)))|x)|(i>q))>(x&(r&i)))) | 0 | 1 | 1 | 1 | not entailment |
((q|q)&~((q&r))) | ~(~((i|x))) | 0 | 1 | 0 | 0 | not entailment |
~(((r|r)|(q|(i&i)))) | ~(q) | 1 | 1 | 1 | 1 | entailment |
((i>i)&q) | (((q>(x&r))>(((x>x)>q)|r))&((i&x)>x)) | 1 | 0 | 0 | 0 | entailment |
~(((r|r)|(q|(i&i)))) | (((q>(x&r))>(((x>x)>q)|r))&((i&x)>x)) | 0 | 0 | 0 | 0 | not entailment |
((i>i)&q) | ~(q) | 0 | 1 | 1 | 0 | not entailment |
(i&q) | ((r>(q&q))|i) | 1 | 0 | 0 | 0 | entailment |
(~(~(~(~(r))))&~(x)) | ~((((i>r)&x)&(q|~(~(((q>q)>i)))))) | 1 | 0 | 0 | 0 | entailment |
(i&q) | ~((((i>r)&x)&(q|~(~(((q>q)>i)))))) | 0 | 0 | 0 | 0 | not entailment |
(~(~(~(~(r))))&~(x)) | ((r>(q&q))|i) | 0 | 1 | 0 | 0 | not entailment |
(i>(r&x)) | ((i|i)>((i|x)&x)) | 1 | 0 | 1 | 0 | entailment |
(((x|(i>((x&i)>r)))|q)>r) | ((~(r)>x)&(~((i|i))>(i>(x|x)))) | 1 | 0 | 1 | 0 | entailment |
(i>(r&x)) | ((~(r)>x)&(~((i|i))>(i>(x|x)))) | 0 | 0 | 1 | 0 | not entailment |
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