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 |
|---|---|---|---|---|---|---|
((h&~(w))&(h|((f>f)>((h&f)&w)))) | (~((h>w))>w) | 0 | 1 | 1 | 0 | not entailment |
~((~(f)>(((h>w)|(h|w))>~(~(h))))) | ~((f&((f>h)|h))) | 1 | 1 | 1 | 0 | entailment |
(h&(h>w)) | (~(((h|(f|h))>w))|w) | 1 | 0 | 0 | 0 | entailment |
~((~(f)>(((h>w)|(h|w))>~(~(h))))) | (~(((h|(f|h))>w))|w) | 0 | 1 | 1 | 0 | not entailment |
(h&(h>w)) | ~((f&((f>h)|h))) | 0 | 0 | 0 | 0 | not entailment |
(w|w) | (w&w) | 1 | 1 | 1 | 1 | entailment |
((w|h)>((((h&(h&w))&f)&h)|~(~(f)))) | ((w&h)>(f&(w|(w>f)))) | 1 | 1 | 1 | 1 | entailment |
(w|w) | ((w&h)>(f&(w|(w>f)))) | 0 | 0 | 0 | 0 | not entailment |
((w|h)>((((h&(h&w))&f)&h)|~(~(f)))) | (w&w) | 0 | 1 | 1 | 1 | not entailment |
(~((h>(w|((h|w)&f))))|(~(f)&h)) | (((((w|h)>h)&f)|((h>w)&w))|h) | 1 | 1 | 1 | 0 | entailment |
(~(w)&((w&f)>(f>(h|(h&w))))) | ((w|f)>((~((~((w>w))|h))&f)|~(w))) | 1 | 0 | 1 | 0 | entailment |
(~((h>(w|((h|w)&f))))|(~(f)&h)) | ((w|f)>((~((~((w>w))|h))&f)|~(w))) | 0 | 0 | 1 | 0 | not entailment |
(~(w)&((w&f)>(f>(h|(h&w))))) | (((((w|h)>h)&f)|((h>w)&w))|h) | 0 | 1 | 1 | 0 | not entailment |
~(((f>w)>(~(~(~(((h|~(f))>h))))|h))) | ~((~(h)>h)) | 1 | 1 | 1 | 1 | entailment |
(h&(w&(((f|f)|w)|w))) | ~(((~(~(f))>(h>~(w)))&(f|~((f|w))))) | 1 | 0 | 1 | 0 | entailment |
~(((f>w)>(~(~(~(((h|~(f))>h))))|h))) | ~(((~(~(f))>(h>~(w)))&(f|~((f|w))))) | 0 | 1 | 1 | 1 | not entailment |
(h&(w&(((f|f)|w)|w))) | ~((~(h)>h)) | 0 | 1 | 1 | 0 | not entailment |
((f&w)&~(h)) | (w>f) | 1 | 1 | 1 | 0 | entailment |
((w&(f>f))&~(f)) | ~(((f&(h>(f>f)))|~((f>(w>h))))) | 1 | 0 | 0 | 0 | entailment |
((f&w)&~(h)) | ~(((f&(h>(f>f)))|~((f>(w>h))))) | 0 | 0 | 1 | 0 | not entailment |
((w&(f>f))&~(f)) | (w>f) | 0 | 1 | 1 | 0 | not entailment |
(h&(((h|(f&f))|~(w))&f)) | (f|~((f|w))) | 1 | 1 | 1 | 0 | entailment |
((((w>f)>w)&(f|~(f)))&h) | ~(((w>~((w|(h>w))))&(w>~((w>h))))) | 1 | 0 | 1 | 0 | entailment |
(h&(((h|(f&f))|~(w))&f)) | ~(((w>~((w|(h>w))))&(w>~((w>h))))) | 0 | 0 | 1 | 0 | not entailment |
((((w>f)>w)&(f|~(f)))&h) | (f|~((f|w))) | 0 | 1 | 1 | 0 | not entailment |
(((f>h)&~((f|w)))&h) | (~(h)>~(w)) | 1 | 1 | 1 | 1 | entailment |
~((~(~(h))|(f>(f&h)))) | ~(~((~((f>w))|f))) | 1 | 1 | 0 | 0 | entailment |
(((f>h)&~((f|w)))&h) | ~(~((~((f>w))|f))) | 0 | 1 | 1 | 0 | not entailment |
~((~(~(h))|(f>(f&h)))) | (~(h)>~(w)) | 0 | 1 | 0 | 0 | not entailment |
(h&~(w)) | (((f>f)>f)|h) | 1 | 0 | 0 | 0 | entailment |
(h>(f&f)) | ((h>(w&(w|w)))|f) | 1 | 0 | 0 | 0 | entailment |
(h&~(w)) | ((h>(w&(w|w)))|f) | 0 | 0 | 0 | 0 | not entailment |
(h>(f&f)) | (((f>f)>f)|h) | 0 | 0 | 1 | 0 | not entailment |
(((h>f)&((w>f)&(f|f)))&(f&(f&(h|(h|f))))) | ((f>h)>f) | 1 | 1 | 1 | 1 | entailment |
~((f|h)) | ((h|(h|h))>((~(f)>(f&f))>w)) | 1 | 0 | 0 | 0 | entailment |
(((h>f)&((w>f)&(f|f)))&(f&(f&(h|(h|f))))) | ((h|(h|h))>((~(f)>(f&f))>w)) | 0 | 1 | 1 | 0 | not entailment |
~((f|h)) | ((f>h)>f) | 0 | 1 | 1 | 0 | not entailment |
(~(~(f))|f) | (~((w>(h>(h>h))))|f) | 1 | 0 | 0 | 0 | entailment |
~((((w&(w&w))&h)|(h>f))) | ((f&(f|h))>(h&w)) | 1 | 1 | 1 | 0 | entailment |
(~(~(f))|f) | ((f&(f|h))>(h&w)) | 0 | 0 | 0 | 0 | not entailment |
~((((w&(w&w))&h)|(h>f))) | (~((w>(h>(h>h))))|f) | 0 | 1 | 1 | 0 | not entailment |
~((~(((a>r)>r))>z)) | ((((w>((r|r)|a))|r)>(a|~(a)))>~(z)) | 1 | 0 | 0 | 0 | entailment |
((w&w)&k) | (k|(w&(a&k))) | 1 | 0 | 0 | 0 | entailment |
~((~(((a>r)>r))>z)) | (k|(w&(a&k))) | 0 | 1 | 0 | 0 | not entailment |
((w&w)&k) | ((((w>((r|r)|a))|r)>(a|~(a)))>~(z)) | 0 | 0 | 0 | 0 | not entailment |
(((~((a|r))|a)&~((r>z)))&(f>w)) | (~(~((f|z)))>(r|(k>~(k)))) | 1 | 1 | 0 | 0 | entailment |
(~((z>~(~((r>z)))))|k) | (~((((r&a)>~((r>(f|f))))&(k>r)))|k) | 1 | 0 | 0 | 0 | entailment |
(((~((a|r))|a)&~((r>z)))&(f>w)) | (~((((r&a)>~((r>(f|f))))&(k>r)))|k) | 0 | 0 | 0 | 0 | not entailment |
(~((z>~(~((r>z)))))|k) | (~(~((f|z)))>(r|(k>~(k)))) | 0 | 0 | 0 | 0 | not entailment |
~(~((((a>(k|z))|(a>f))&w))) | (a|((r>a)|w)) | 1 | 1 | 0 | 0 | entailment |
(~(k)>k) | (~((z&r))>k) | 1 | 0 | 0 | 0 | entailment |
~(~((((a>(k|z))|(a>f))&w))) | (~((z&r))>k) | 0 | 1 | 0 | 0 | not entailment |
(~(k)>k) | (a|((r>a)|w)) | 0 | 0 | 0 | 0 | not entailment |
(~((k&f))&~(~(((r&~(r))|r)))) | (w|(a|r)) | 1 | 1 | 0 | 0 | entailment |
(((z|r)&~(w))&((k>f)|(r|a))) | ~((~(((w>k)|a))&(~(~((k>(k|f))))&r))) | 1 | 0 | 1 | 0 | entailment |
(~((k&f))&~(~(((r&~(r))|r)))) | ~((~(((w>k)|a))&(~(~((k>(k|f))))&r))) | 0 | 0 | 0 | 0 | not entailment |
(((z|r)&~(w))&((k>f)|(r|a))) | (w|(a|r)) | 0 | 1 | 1 | 0 | not entailment |
(w&~(((a|a)&(~(z)&w)))) | (~(w)>a) | 1 | 1 | 1 | 0 | entailment |
((w|z)&f) | (k>((z|f)|(~(k)&(z>w)))) | 1 | 0 | 0 | 0 | entailment |
(w&~(((a|a)&(~(z)&w)))) | (k>((z|f)|(~(k)&(z>w)))) | 0 | 1 | 0 | 0 | not entailment |
((w|z)&f) | (~(w)>a) | 0 | 1 | 0 | 0 | not entailment |
(r&(k>w)) | (((r|r)|((z&(~((a>w))|w))>a))|~(k)) | 1 | 0 | 0 | 0 | entailment |
((k&z)&((k&~((w>a)))&(z&f))) | (~((z&k))>(z|((k>(k>f))>(r>a)))) | 1 | 0 | 0 | 0 | entailment |
(r&(k>w)) | (~((z&k))>(z|((k>(k>f))>(r>a)))) | 0 | 0 | 0 | 0 | not entailment |
((k&z)&((k&~((w>a)))&(z&f))) | (((r|r)|((z&(~((a>w))|w))>a))|~(k)) | 0 | 0 | 0 | 0 | not entailment |
~(((z&f)>k)) | ~(((((a&w)>(a&r))&(k&r))&~((f&k)))) | 1 | 0 | 0 | 0 | entailment |
(((w|z)|(z&f))&r) | ((a|r)|a) | 1 | 1 | 0 | 0 | entailment |
~(((z&f)>k)) | ((a|r)|a) | 0 | 1 | 0 | 0 | not entailment |
(((w|z)|(z&f))&r) | ~(((((a&w)>(a&r))&(k&r))&~((f&k)))) | 0 | 0 | 0 | 0 | not entailment |
(~((~((w|z))&f))&((f&a)&(a>~((z&f))))) | ((a>~(~(k)))|((~((k|r))>f)|((f|z)&k))) | 1 | 1 | 0 | 0 | entailment |
~(((a|r)>(f|(a>(z|k))))) | ~(((~((~(k)>z))&(~((f>r))|(f>r)))&f)) | 1 | 0 | 1 | 0 | entailment |
(~((~((w|z))&f))&((f&a)&(a>~((z&f))))) | ~(((~((~(k)>z))&(~((f>r))|(f>r)))&f)) | 0 | 1 | 0 | 0 | not entailment |
~(((a|r)>(f|(a>(z|k))))) | ((a>~(~(k)))|((~((k|r))>f)|((f|z)&k))) | 0 | 0 | 1 | 0 | not entailment |
(~(w)>(w|~((z&z)))) | ((z&a)>w) | 1 | 1 | 0 | 0 | entailment |
((~((f&f))|k)>(z&~(((w&k)>(z|(k&w)))))) | (f&(((k&z)>(((a&z)|k)&~(a)))|r)) | 1 | 1 | 0 | 0 | entailment |
(~(w)>(w|~((z&z)))) | (f&(((k&z)>(((a&z)|k)&~(a)))|r)) | 0 | 0 | 0 | 0 | not entailment |
((~((f&f))|k)>(z&~(((w&k)>(z|(k&w)))))) | ((z&a)>w) | 0 | 1 | 0 | 0 | not entailment |
((k&(k>r))&~((~((w&z))&r))) | (k|f) | 1 | 1 | 0 | 0 | entailment |
~(((a>w)|((f&w)|(z>f)))) | ~(f) | 1 | 1 | 1 | 1 | entailment |
((k&(k>r))&~((~((w&z))&r))) | ~(f) | 0 | 1 | 0 | 0 | not entailment |
~(((a>w)|((f&w)|(z>f)))) | (k|f) | 0 | 1 | 0 | 0 | not entailment |
((~(k)|f)&((r|((z|z)|z))&(a&a))) | (a&a) | 1 | 1 | 1 | 1 | entailment |
((a&z)>f) | ~(~(~((((z&a)&(r|a))&~(((k|f)|w)))))) | 1 | 0 | 0 | 0 | entailment |
((~(k)|f)&((r|((z|z)|z))&(a&a))) | ~(~(~((((z&a)&(r|a))&~(((k|f)|w)))))) | 0 | 0 | 0 | 0 | not entailment |
((a&z)>f) | (a&a) | 0 | 1 | 1 | 0 | not entailment |
((r|w)|~(~((((r>a)&a)&(~(k)>(f&k)))))) | (r|((((k&a)|w)|(z&a))|~(f))) | 1 | 1 | 0 | 0 | entailment |
((a&(k>f))&a) | (a|(w>z)) | 1 | 1 | 0 | 0 | entailment |
((r|w)|~(~((((r>a)&a)&(~(k)>(f&k)))))) | (a|(w>z)) | 0 | 1 | 0 | 0 | not entailment |
((a&(k>f))&a) | (r|((((k&a)|w)|(z&a))|~(f))) | 0 | 0 | 0 | 0 | not entailment |
~(((r&a)>((f>~(~((f&w))))|(w&w)))) | ((z&(w>a))>a) | 1 | 1 | 0 | 0 | entailment |
((~(~(f))|a)&k) | ((a>z)|k) | 1 | 1 | 0 | 0 | entailment |
~(((r&a)>((f>~(~((f&w))))|(w&w)))) | ((a>z)|k) | 0 | 1 | 0 | 0 | not entailment |
((~(~(f))|a)&k) | ((z&(w>a))>a) | 0 | 1 | 0 | 0 | not entailment |
(~((z&r))&(((~(f)>f)&(a|~(f)))&r)) | (~((z&r))&(k|(~(z)>a))) | 1 | 1 | 0 | 0 | entailment |
~((k>(~(a)|w))) | (w>k) | 1 | 1 | 1 | 1 | entailment |
(~((z&r))&(((~(f)>f)&(a|~(f)))&r)) | (w>k) | 0 | 1 | 0 | 0 | not entailment |
~((k>(~(a)|w))) | (~((z&r))&(k|(~(z)>a))) | 0 | 0 | 0 | 0 | not entailment |
((w&a)&w) | (a|z) | 1 | 1 | 0 | 0 | entailment |
~(~(~(r))) | ~(r) | 1 | 1 | 1 | 1 | entailment |
((w&a)&w) | ~(r) | 0 | 1 | 0 | 0 | not entailment |
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