Datasets:
Tags:
License:
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 |
|---|---|---|---|---|---|---|
((m>m)&(((m>m)>(m>m))&((m>m)>(m|m)))) | ~(~((((m|m)&~(m))|m))) | 1 | 1 | 1 | 1 | entailment |
~((((m&m)|(m&m))&(m&m))) | ~(((((m>m)&m)&m)|(m|m))) | 1 | 1 | 1 | 0 | entailment |
((m>m)&(((m>m)>(m>m))&((m>m)>(m|m)))) | ~(((((m>m)&m)&m)|(m|m))) | 0 | 1 | 1 | 1 | not entailment |
~((((m&m)|(m&m))&(m&m))) | ~(~((((m|m)&~(m))|m))) | 0 | 1 | 1 | 0 | not entailment |
~((~(m)&~((m&m)))) | ((((m|m)&m)|m)|(~(~((((m|m)>m)&m)))|m)) | 1 | 0 | 1 | 0 | entailment |
~((m|m)) | ((m|((m>m)>m))>((m&m)&~((m&(m&(m>m)))))) | 1 | 0 | 1 | 0 | entailment |
~((~(m)&~((m&m)))) | ((m|((m>m)>m))>((m&m)&~((m&(m&(m>m)))))) | 0 | 0 | 1 | 0 | not entailment |
~((m|m)) | ((((m|m)&m)|m)|(~(~((((m|m)>m)&m)))|m)) | 0 | 0 | 1 | 0 | not entailment |
(m|(m|m)) | ((m>m)&m) | 1 | 1 | 1 | 0 | entailment |
~((m|(m&(m|m)))) | ~((m&m)) | 1 | 1 | 1 | 1 | entailment |
(m|(m|m)) | ~((m&m)) | 0 | 1 | 1 | 0 | not entailment |
~((m|(m&(m|m)))) | ((m>m)&m) | 0 | 1 | 1 | 0 | not entailment |
(m|(m|m)) | (m|(m|((m&m)&((m|m)>(m>(m&m)))))) | 1 | 0 | 1 | 0 | entailment |
(m>~((m|(m>((((m|m)|m)>(m&m))>(m>m)))))) | (((m>m)&~(m))&~((m&(m|m)))) | 1 | 1 | 1 | 1 | entailment |
(m|(m|m)) | (((m>m)&~(m))&~((m&(m|m)))) | 0 | 0 | 1 | 0 | not entailment |
(m>~((m|(m>((((m|m)|m)>(m&m))>(m>m)))))) | (m|(m|((m&m)&((m|m)>(m>(m&m)))))) | 0 | 1 | 1 | 1 | not entailment |
~(~(((~(m)&(~(m)&m))|m))) | ((m|m)|m) | 1 | 1 | 1 | 1 | entailment |
~((~(m)>(m|m))) | ~(m) | 1 | 1 | 1 | 1 | entailment |
~(~(((~(m)&(~(m)&m))|m))) | ~(m) | 0 | 1 | 1 | 1 | not entailment |
~((~(m)>(m|m))) | ((m|m)|m) | 0 | 1 | 1 | 0 | not entailment |
(m|((((m&m)|(m|m))>~(m))>((m&m)&(m>m)))) | (m&m) | 1 | 1 | 1 | 1 | entailment |
~(~(~(((m&m)&~(~(m)))))) | ~((m|m)) | 1 | 1 | 1 | 1 | entailment |
(m|((((m&m)|(m|m))>~(m))>((m&m)&(m>m)))) | ~((m|m)) | 0 | 1 | 1 | 1 | not entailment |
~(~(~(((m&m)&~(~(m)))))) | (m&m) | 0 | 1 | 1 | 0 | not entailment |
(~((m>((m|m)&~(m))))|m) | ~(~((m|((m>m)&m)))) | 1 | 1 | 1 | 1 | entailment |
((m&(m&m))>((m|(m|(m&(m|m))))&~(m))) | ((m>(m&m))&~((~(m)>m))) | 1 | 1 | 1 | 1 | entailment |
(~((m>((m|m)&~(m))))|m) | ((m>(m&m))&~((~(m)>m))) | 0 | 1 | 1 | 1 | not entailment |
((m&(m&m))>((m|(m|(m&(m|m))))&~(m))) | ~(~((m|((m>m)&m)))) | 0 | 1 | 1 | 1 | not entailment |
((m&m)&(m|(m>m))) | (~(~((((m&m)|m)|~(m))))>((m>(m|m))>m)) | 1 | 0 | 1 | 1 | entailment |
(((m>m)&~(~(~(m))))&~(m)) | (~(m)|~(~((~(m)|~(m))))) | 1 | 1 | 1 | 1 | entailment |
((m&m)&(m|(m>m))) | (~(m)|~(~((~(m)|~(m))))) | 0 | 0 | 1 | 1 | not entailment |
(((m>m)&~(~(~(m))))&~(m)) | (~(~((((m&m)|m)|~(m))))>((m>(m|m))>m)) | 0 | 0 | 1 | 1 | not entailment |
((m>~(m))>((m&m)|m)) | ((((m|m)&(m|(m&(m|m))))&((m|m)>m))|(m|m)) | 1 | 0 | 1 | 0 | entailment |
~((m&(m|((m>(m&m))|m)))) | ((m|~(m))&~(m)) | 1 | 1 | 1 | 1 | entailment |
((m>~(m))>((m&m)|m)) | ((m|~(m))&~(m)) | 0 | 1 | 1 | 0 | not entailment |
~((m&(m|((m>(m&m))|m)))) | ((((m|m)&(m|(m&(m|m))))&((m|m)>m))|(m|m)) | 0 | 0 | 1 | 1 | not entailment |
~(~(o)) | (~(~(s))|o) | 1 | 0 | 0 | 0 | entailment |
~((i>g)) | ((~(s)>((q>i)|s))>(x|~((((i&x)>r)>g)))) | 1 | 0 | 0 | 0 | entailment |
~(~(o)) | ((~(s)>((q>i)|s))>(x|~((((i&x)>r)>g)))) | 0 | 0 | 0 | 0 | not entailment |
~((i>g)) | (~(~(s))|o) | 0 | 0 | 0 | 0 | not entailment |
((s&~((g>r)))&s) | ((s|(g|o))|((~((c|x))&g)&(o|x))) | 1 | 0 | 0 | 0 | entailment |
((i&i)&((q|(q&g))&((~(i)>r)&(c>i)))) | ((x&v)>(((i&o)|o)|q)) | 1 | 1 | 0 | 0 | entailment |
((s&~((g>r)))&s) | ((x&v)>(((i&o)|o)|q)) | 0 | 0 | 0 | 0 | not entailment |
((i&i)&((q|(q&g))&((~(i)>r)&(c>i)))) | ((s|(g|o))|((~((c|x))&g)&(o|x))) | 0 | 1 | 0 | 0 | not entailment |
((((g>c)>(~(x)&o))>s)>~(i)) | ~((x&((c&c)&i))) | 1 | 1 | 1 | 1 | entailment |
(~(((q>~(v))|g))&(x|~((x|(g>q))))) | ~(((i&g)&(o|o))) | 1 | 1 | 0 | 0 | entailment |
((((g>c)>(~(x)&o))>s)>~(i)) | ~(((i&g)&(o|o))) | 0 | 1 | 1 | 0 | not entailment |
(~(((q>~(v))|g))&(x|~((x|(g>q))))) | ~((x&((c&c)&i))) | 0 | 1 | 0 | 0 | not entailment |
(((c>c)&~((x>((i&o)|~(o)))))&(r&q)) | (~(r)|((q|x)&(v|r))) | 1 | 1 | 0 | 0 | entailment |
~(((o|(r>v))|g)) | (v>g) | 1 | 1 | 1 | 0 | entailment |
(((c>c)&~((x>((i&o)|~(o)))))&(r&q)) | (v>g) | 0 | 1 | 0 | 0 | not entailment |
~(((o|(r>v))|g)) | (~(r)|((q|x)&(v|r))) | 0 | 0 | 0 | 0 | not entailment |
(i&q) | (i|g) | 1 | 1 | 0 | 0 | entailment |
~(~(o)) | (~(v)>((x>o)&~(~(o)))) | 1 | 0 | 0 | 0 | entailment |
(i&q) | (~(v)>((x>o)&~(~(o)))) | 0 | 0 | 0 | 0 | not entailment |
~(~(o)) | (i|g) | 0 | 1 | 0 | 0 | not entailment |
(i|i) | ((r>c)>((r>v)|i)) | 1 | 0 | 0 | 0 | entailment |
((((g|i)|s)>(g>g))&r) | (r&(r>r)) | 1 | 1 | 1 | 0 | entailment |
(i|i) | (r&(r>r)) | 0 | 0 | 0 | 0 | not entailment |
((((g|i)|s)>(g>g))&r) | ((r>c)>((r>v)|i)) | 0 | 1 | 0 | 0 | not entailment |
~(((s>q)>s)) | ((x|(x&s))>((r&~(((o|~(s))|q)))>(o&q))) | 1 | 0 | 0 | 0 | entailment |
(((s&i)&(x>(s>c)))&((r>g)>((x|x)>r))) | (q>(~(s)>(~(o)&(((g&q)|v)>(s|(o>i)))))) | 1 | 0 | 0 | 0 | entailment |
~(((s>q)>s)) | (q>(~(s)>(~(o)&(((g&q)|v)>(s|(o>i)))))) | 0 | 0 | 0 | 0 | not entailment |
(((s&i)&(x>(s>c)))&((r>g)>((x|x)>r))) | ((x|(x&s))>((r&~(((o|~(s))|q)))>(o&q))) | 0 | 0 | 0 | 0 | not entailment |
~((~(~((v&o)))>i)) | ~(~((((((v|s)&(r>s))|r)&g)|o))) | 1 | 0 | 0 | 0 | entailment |
(((g&g)>(c>((v|o)>(g|x))))&c) | ~(~(~(~(((g|c)|(c&x)))))) | 1 | 1 | 1 | 1 | entailment |
~((~(~((v&o)))>i)) | ~(~(~(~(((g|c)|(c&x)))))) | 0 | 0 | 0 | 0 | not entailment |
(((g&g)>(c>((v|o)>(g|x))))&c) | ~(~((((((v|s)&(r>s))|r)&g)|o))) | 0 | 0 | 0 | 0 | not entailment |
(o&(~(((r>c)&(o|(i&q))))&(v|x))) | ((((i&v)|v)&c)>(((i>o)&i)|(r>(q&~(r))))) | 1 | 0 | 1 | 0 | entailment |
~((~(o)>g)) | (o>(((o|g)>v)&~((c&v)))) | 1 | 0 | 0 | 0 | entailment |
(o&(~(((r>c)&(o|(i&q))))&(v|x))) | (o>(((o|g)>v)&~((c&v)))) | 0 | 1 | 0 | 0 | not entailment |
~((~(o)>g)) | ((((i&v)|v)&c)>(((i>o)&i)|(r>(q&~(r))))) | 0 | 0 | 0 | 0 | not entailment |
~(r) | ((((o>v)&(c>(c>s)))|(~(r)&(i|o)))>(r>i)) | 1 | 0 | 0 | 0 | entailment |
(v&(q|(v|~(r)))) | (x|(v|((i|i)>v))) | 1 | 1 | 0 | 0 | entailment |
~(r) | (x|(v|((i|i)>v))) | 0 | 0 | 0 | 0 | not entailment |
(v&(q|(v|~(r)))) | ((((o>v)&(c>(c>s)))|(~(r)&(i|o)))>(r>i)) | 0 | 0 | 0 | 0 | not entailment |
((g>((x|s)|((q&i)&o)))&(s&((i|v)|x))) | (~(((r|s)|q))>(~((q&(q|(s|r))))>(v|r))) | 1 | 0 | 0 | 0 | entailment |
((~(g)&(o>i))&(~((s|o))|((q>x)>(c>c)))) | (~((g>(s>~(o))))>v) | 1 | 1 | 0 | 0 | entailment |
((g>((x|s)|((q&i)&o)))&(s&((i|v)|x))) | (~((g>(s>~(o))))>v) | 0 | 1 | 1 | 0 | not entailment |
((~(g)&(o>i))&(~((s|o))|((q>x)>(c>c)))) | (~(((r|s)|q))>(~((q&(q|(s|r))))>(v|r))) | 0 | 1 | 0 | 0 | not entailment |
~(((~(r)|s)|((g>c)>(c>(i|v))))) | ~((((i|(q&v))>(o>c))>v)) | 1 | 1 | 0 | 0 | entailment |
(((x&(i>v))&((((g&v)>x)&(i|i))>i))&i) | (i|(x&c)) | 1 | 1 | 0 | 0 | entailment |
~(((~(r)|s)|((g>c)>(c>(i|v))))) | (i|(x&c)) | 0 | 1 | 0 | 0 | not entailment |
(((x&(i>v))&((((g&v)>x)&(i|i))>i))&i) | ~((((i|(q&v))>(o>c))>v)) | 0 | 1 | 0 | 0 | not entailment |
((x|((g>~(x))>g))&s) | ((c|(q|x))>(s|(v>(q>r)))) | 1 | 0 | 0 | 0 | entailment |
~((~(~((g&(~(r)|(g|x)))))&g)) | ~(~(~(g))) | 1 | 1 | 1 | 1 | entailment |
((x|((g>~(x))>g))&s) | ~(~(~(g))) | 0 | 1 | 1 | 0 | not entailment |
~((~(~((g&(~(r)|(g|x)))))&g)) | ((c|(q|x))>(s|(v>(q>r)))) | 0 | 1 | 0 | 0 | not entailment |
(o|r) | ((~(((q>c)>q))>((v>(o|c))|r))|(c&~(x))) | 1 | 0 | 0 | 0 | entailment |
((s>(~(g)>~(x)))&~((x>(s>r)))) | (x|(g&g)) | 1 | 1 | 1 | 1 | entailment |
(o|r) | (x|(g&g)) | 0 | 0 | 0 | 0 | not entailment |
((s>(~(g)>~(x)))&~((x>(s>r)))) | ((~(((q>c)>q))>((v>(o|c))|r))|(c&~(x))) | 0 | 0 | 0 | 0 | not entailment |
((((i>g)&~(i))|((x|c)&c))>((v&x)&x)) | ((c&~((q|i)))|(x|(r>(c>(q>i))))) | 1 | 1 | 0 | 0 | entailment |
(v&(q&q)) | ~(~((v|(g&~(x))))) | 1 | 0 | 0 | 0 | entailment |
((((i>g)&~(i))|((x|c)&c))>((v&x)&x)) | ~(~((v|(g&~(x))))) | 0 | 1 | 1 | 0 | not entailment |
(v&(q&q)) | ((c&~((q|i)))|(x|(r>(c>(q>i))))) | 0 | 0 | 0 | 0 | not entailment |
((((~(s)&x)|s)>((q>c)|((g|q)&(g>v))))&x) | ((g&o)>(((s>x)|i)|(r&g))) | 1 | 1 | 0 | 0 | entailment |
(s&~((o>r))) | (s|i) | 1 | 1 | 0 | 0 | entailment |
((((~(s)&x)|s)>((q>c)|((g|q)&(g>v))))&x) | (s|i) | 0 | 1 | 0 | 0 | not entailment |
(s&~((o>r))) | ((g&o)>(((s>x)|i)|(r&g))) | 0 | 0 | 0 | 0 | not entailment |
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in Dataset Viewer.
https://github.com/google-deepmind/logical-entailment-dataset
@inproceedings{
evans2018can,
title={Can Neural Networks Understand Logical Entailment?},
author={Richard Evans and David Saxton and David Amos and Pushmeet Kohli and Edward Grefenstette},
booktitle={International Conference on Learning Representations},
year={2018},
url={https://openreview.net/forum?id=SkZxCk-0Z},
}
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