facts stringlengths 9 219 | formula stringlengths 6 173 | num_operators int64 1 20 | gold_formula bool 2
classes |
|---|---|---|---|
e is true, m is true, q is true, s is false, z is false, o is true, d is false, k is true, y is true, l is true, i is false, h is false, g is true, v is false | o or k implies m or e and s and q or h or m and y implies l and z implies m implies m or v implies e or d implies i and g | 17 | false |
m is true, j is true, q is true, s is false, p is false, v is true, y is true, u is true, n is true, c is true | n implies c implies j or m or u and q or y or y and v and p and s | 10 | true |
e is false, r is false, j is true, q is true, p is false, x is false, t is false, y is true, k is true, l is true, u is false, n is true, v is true | v or p and t implies y and e implies n or x and r implies k and k implies j or l or q implies u or j | 14 | true |
q is true, w is false, b is false, p is false, z is false, d is false, o is true, y is true, t is false, l is false, g is true, n is true | n implies d implies o or d implies z implies y implies o and t implies o implies b or l implies w and q implies g implies p | 14 | false |
m is false, j is true, p is false, l is true, f is true | j and l or f implies m implies p | 4 | true |
m is false, p is true, b is false, d is true, y is true, g is false, n is true, f is true | y and p implies d and m implies f and g and n and b | 7 | true |
m is false, s is true, x is false, z is false, i is true, o is true, l is true, u is true | l and s or m implies u or x or z or i implies o | 7 | true |
m is true, w is false, y is true, k is true, h is false, n is true, c is false | k and w implies c implies w implies k implies w and h implies y and n implies m implies h and w | 11 | false |
e is true, r is false, q is false, j is true, p is true, u is true, v is true, d is true, i is false, k is false, y is false, l is true, h is false, n is true, c is false | v implies q or e or c implies q implies k implies n implies p implies l and y implies h or d or q implies h and j and u implies i or r implies y or p | 19 | true |
r is false, j is false, q is false, i is false, d is false, l is true, h is true | i implies j implies r and d implies l or h or d and q | 7 | true |
q is true, m is true, j is true, s is false, p is true, b is true, x is false, d is false, t is false, l is true, n is true, h is false, g is false, c is false | l and m or m implies q and t or p implies m and b and j or h and d and g and x implies n and c or s or b | 16 | true |
m is false, q is false, s is false, w is true, b is true, x is false, z is false, o is true, t is true, n is false, f is false | x or f implies z implies s or n implies o or m implies t or q or b or w and n | 11 | true |
e is false, r is false, m is true, w is false, d is false, k is true, g is false, l is true, a is false, y is true, u is true, n is false, v is false | u implies n or r or k or a implies l implies k and d or w or r or m and e implies m implies g or y implies v and m | 16 | false |
q is true, k is false, l is false, g is false, n is false, f is true | k implies l and n or g implies f and q | 5 | true |
m is false, w is false, t is true, k is false, l is true | l and t implies m and k implies w | 4 | true |
n is true, s is true | s implies n | 1 | true |
h is true, o is true | h and o | 1 | true |
v is true, t is false, z is false, s is true | z implies t and s implies v | 3 | true |
v is false, d is false, t is true, f is false | d implies t and f and v | 3 | true |
j is false, b is true, l is false, a is true, g is true | l implies b implies j or a and a and g | 5 | true |
r is true, w is true | r or w and r | 2 | true |
e is true, j is true, m is true, s is true, p is false, x is false, z is false, v is false, i is false, d is false, y is true, g is true, n is true, f is true | x implies e and e implies z implies i and p implies f or d implies i and j and y and x implies g or y and s implies m or n and v and i | 18 | true |
e is false, r is true, j is false, w is false, p is false, x is true, z is false, i is true, y is false, k is false, a is false, u is false, g is false | u implies i implies y implies r and u or j and x and a or k or g and k implies z or e and g or w and r or p implies a | 17 | true |
r is true, q is false, w is false, d is true, t is false, k is false, a is false | d and k or r or q and t and a or w | 6 | true |
r is true, m is false, j is false, q is false, p is false, b is true, w is true, x is true, o is false, t is false, d is true, h is false, g is false, c is false | g and b or h and p and r and w implies m and o implies r or c and o implies g or j and m and q implies t and d or x | 17 | true |
j is true, b is true, o is false, t is true, l is false, a is false, n is false | t and j implies a or n or o and b or l | 6 | false |
r is true, m is false, j is false, p is false, w is true, x is true, z is false, i is false, l is false, a is false, c is true | x or r and a or p or i and m and x implies w implies z or c and i implies m or l implies w and j | 14 | false |
e is false, z is true | e and z implies e | 2 | true |
e is true, b is true, x is true, s is false | s or e or x or b implies x | 4 | true |
q is true, m is true, s is false, p is true, h is true, x is true, o is true, i is true, a is true, u is false, f is false | a and u implies q or x or o and p and a implies i implies f and m and s implies h | 11 | true |
j is false, h is false, w is false, p is false, o is true, i is true, y is false, k is true, l is false, a is false, u is true, f is true | y and l implies u and a and a or j and f implies k implies o and h and h implies w and p implies o and i or u | 15 | true |
e is true, r is true, j is false, q is false, s is false, w is false, d is false, t is false, y is true, l is false, n is true, f is false | j or d implies w implies n implies f implies f and f or l and n or f and r and w implies l or n or t implies q implies e implies j implies s implies f and y | 20 | false |
r is false, q is false, s is false, b is true, i is false, d is true, k is false, u is false | u and u and b implies i implies d implies q implies q or s or k or r or b | 10 | true |
e is false, p is true, b is true, z is true, f is false, v is false, i is true, t is false, k is true, g is true, l is false, o is false, u is false, n is true, c is false | l or n implies p implies n or t and b implies u implies c or e implies i or b and i implies v and k or z implies g implies f and b and o implies z | 19 | true |
r is true, m is false, q is true, j is true, d is false, y is false, f is true | q and f implies m or d and j and r and j implies y | 7 | true |
j is true, p is true, f is true, l is false, c is false | l and j implies c implies p or f | 4 | true |
e is true, r is true, j is true, q is true, p is true, y is false, l is true, u is true, g is false, f is false | p implies l implies r or u and g and u or r implies p implies g or y or j implies e and q and f | 13 | false |
m is false, j is false, q is false, s is false, h is false, b is true, w is false, z is true, u is false, o is false, k is true, l is true, g is true, n is true | g or b implies z implies n implies m implies l implies m implies o or h implies j and w and b or q or z and s and k implies u | 16 | true |
e is false, j is true, p is false, b is true, u is false, c is false, o is true, t is true, k is false, g is true, a is false, h is false, n is true, f is true | h and k implies k implies h implies a or b implies p or j and u or n or f implies j and a and n implies g implies p or e or c and t and f implies o | 20 | true |
m is true, i is false, t is false, k is false, l is false, u is false | i or k implies t and m and u implies l | 5 | false |
e is true, q is true, h is true, p is true, x is false, z is true, d is false, t is false, i is true, l is true, u is false, n is false, c is false | x implies q and u implies u and x implies c or n implies h and t or z or l implies u and e and d implies i and n or q and p or n implies q | 19 | true |
r is false, m is true, s is false, w is true, b is true, x is false, z is false, o is false, i is false, h is true | o and z or m implies m and h and s or r or x and w implies i and b implies x implies s | 12 | true |
e is false, j is false, w is false, b is true, x is true, f is true, v is true, u is false, i is true, t is true, y is false, h is true, c is true | c and x or y and b or j implies i or h or e or v implies b and c or f or u or w and c or y or y and c or t | 18 | true |
m is true, w is false, z is false, l is true, g is true, n is true, v is true | m or v implies w or z and n implies l and g or m | 7 | true |
r is false, q is true, j is true, s is true, p is false, x is false, z is true, d is true, t is false, k is false, y is false, n is true, f is false | t and q and f and y and k or n and s implies p implies t and r or d implies x implies y implies z and n and t implies j | 16 | true |
e is true, r is false, m is true, j is false, s is true, p is false, b is true, z is true, i is false, d is true, y is false, k is true, l is false, a is true, u is true, v is false | y and z or b implies m or u implies i implies r implies a and j or s implies k implies e and p and d implies z or l implies v or z implies z implies z | 19 | true |
m is true, j is false, s is false, b is false, x is true, u is false, f is true, v is false, i is false, t is false, k is true, h is false, n is false, c is true | m implies s and s implies u and x or h implies m or j and c or h implies j implies b and f implies n and i and u and h or k implies t implies v or i | 20 | true |
q is true, j is false, s is false, p is false, b is false, t is false, y is true, a is false, g is false | t or j or p or q and g and b and t or y and j implies s implies a | 10 | false |
r is true, h is true, b is false, w is false, x is true, z is true, u is false, f is false, i is true, t is true, k is true, d is true, l is false, a is true, g is false, c is false | z implies g implies k implies r and b or h implies h and w implies a and a or u and l and x and c and i and t or f and z and h and t and d | 20 | true |
e is false, r is true, j is false, q is true, w is true, b is false, x is true, z is false, u is false, o is false, d is false, k is true, h is false, n is true, c is false | n or o implies c implies e or z and x implies w implies o and h implies k or j or n or e and j implies b or o implies u and d implies c or q or r | 20 | true |
r is true, w is false, z is true, d is true, i is false, y is true, t is true, h is false, v is false | r or v and d and y and i and w and y or z implies t or d or h | 10 | true |
m is false, r is false, q is true | r implies q or m | 2 | true |
e is true, m is true, j is false, q is true, s is false, u is true, k is true, y is true, h is false, n is false, c is false | h implies n implies k or j or m or u or y and s or e or c or e and q | 11 | true |
c is true, i is true, d is false | i and d implies c | 2 | true |
i is false, f is true, s is false | i implies s implies f | 2 | true |
e is true, r is true, q is false, j is false, m is true, w is true, p is true, b is true, z is true, d is false, t is false, a is true, u is true, n is false | j and n implies a and j or q or u or z or u and n and r and j implies t and j implies w and d or p and q and e and p implies b or m | 20 | true |
p is false, c is false, t is false, l is false, h is true, n is false, f is false | n implies l or t or c or f implies f or p or l or p or p or h and t | 11 | false |
e is true, q is false, m is true, x is false, z is false, u is true, o is false, k is true, a is false, h is true, v is false | o or h and o or e or v implies x or a and x implies u or q or x or m implies h implies k or z | 14 | true |
e is false, r is false, q is false, w is false, b is true, c is false, i is true, t is true, k is false, a is true, u is true, f is false | e or r or u and w implies a implies t or t or f implies i or r or k and q and b and i implies c or c or c | 16 | false |
s is false, w is false, b is true, x is true, u is false, i is false, k is false, a is false, h is true, g is false | x implies a or i implies g implies a or h and u or k and w and w implies s implies b | 11 | true |
p is false, b is false, u is false, a is true, h is false, v is true | a or u implies v and h and b or p implies p | 6 | true |
q is true, s is false, p is true, b is false, w is false, v is true, o is true, y is true, k is true, a is false, g is true, n is true, c is false | n and s implies c implies b or g implies y or p and o or w implies n or a implies g or w implies v or o or p and k or q and v implies o and w | 20 | false |
m is true, o is true, d is false, y is true, t is false, h is false, c is true | d or d or m or h implies c or o implies y implies t and h | 8 | false |
e is false, q is false, j is true, s is false, w is true, b is true, z is true, v is false, c is true, i is false, t is true, u is false, n is true, f is true | f implies e implies w implies t implies n or q and u and c and j or s and q or i and z implies w implies b implies b and t implies v or f or i | 19 | true |
x is true, u is true, t is true, j is false | t or x implies u and j | 3 | false |
r is true, m is true, s is true, b is false, z is true, u is false, o is false, y is true, k is true, l is false, h is false, g is false, c is false | o and l or h implies s or l and y and m implies z and k and l and z implies u implies g and l implies h implies b and u and m or r or h implies c | 20 | false |
e is true, m is false, s is false, k is false, l is true, a is false, n is true | e implies a and m and l and k or s implies n | 6 | true |
r is false, j is true, s is true, p is false, b is true, x is true, h is false, f is true, d is false, o is false, y is false, g is true, k is false, u is true, n is true, c is false | b implies x and c and d or y or u or n and p implies s implies p implies s and h and g or r or r implies f and j implies h or o implies x implies k | 20 | false |
p is false, x is false, v is false, d is false, o is true, k is true, y is false, g is false, n is true, f is false | x implies p and g or x implies v and f or n and k or d or o or y or p | 11 | true |
j is true, q is true, p is false, b is true, z is false, u is false, i is false, o is true, y is true, a is false, g is true, v is false | i or v and p and g or y or j or z or o and u or a implies b or q | 11 | true |
e is true, r is false, q is false, s is true, p is true, w is true, x is true, z is false, u is true, o is false, i is true, y is true, d is true, l is false, h is false, c is true | i and h or l and o and e or r or z or y or u and p or e or x implies d implies d or p or s and q implies w and c | 18 | true |
s is false, b is true, z is true, y is true, f is true | y or b implies y implies s implies f implies z | 5 | true |
w is false, b is true, x is true, z is true, d is true, t is true, k is false, h is false, f is false | h and f and d implies k or t and w implies b and h and x implies z | 9 | true |
b is true, x is false, z is true, v is false, c is false, o is true, i is true, k is true, d is false, a is true, h is false, g is false, f is true | f implies k implies o or x and x and a or b or c implies z or i implies h or v and z or g implies d and f | 15 | true |
h is true, f is true | h or f | 1 | true |
w is true, p is true, o is false, g is true, f is true | o implies g or w and p or f | 4 | true |
e is false, q is false, p is true, z is true, t is false, h is true, v is true | t implies z implies v or h implies t or v implies q implies e implies q and p | 9 | false |
r is true, m is false, j is false, q is true, s is false, w is false, b is true, x is false, z is true, o is false, l is true, u is false, n is true, f is true | j or z or r or m and u implies s implies o implies w implies l or q and x implies b or n or n and f implies r or w | 16 | true |
m is false, p is false, b is true, o is false, t is false, y is false, a is false, u is false, c is false | m and y and b or o and a and o implies c implies t and u and b and a or p | 11 | false |
e is false, r is true, j is true, b is true, f is true, o is true, t is false, y is false, i is false, l is true, a is false, h is false, n is true, c is true | t and e implies h and y and n or a implies c and r or e or y or f and o or i and a implies j and y implies y implies n and l and b and o | 20 | true |
e is false, m is true, p is true, x is true, z is false, u is false, o is false, y is true, a is true, h is true, g is false, f is false | p implies m or f or x or h and y and a or g and o and a or u implies p or p and z or e | 14 | true |
e is true, r is false, p is false, w is false, v is false, c is false, o is true, d is false, y is true, n is true, f is true | f and e and e and r or p and o or d and y implies v or f or r and c and n or w | 13 | true |
e is true, q is true, m is true, s is true, w is true, z is true, d is false, k is true, n is true, c is false | q and s implies e or d and c and z implies m and q and d and k or c and n implies w or s | 13 | true |
r is false, q is true, s is false, z is true, t is false, k is false, y is false, l is false, a is true, u is false, n is false | q implies z implies u and r implies a implies n implies n or l and k or y and z or s and t | 12 | true |
j is true, s is false, p is false, b is true, o is false, d is false, y is true, i is true, l is true, k is false, h is true, g is true, f is false | y or p implies h and o or s implies g implies d and b implies y and y and l and f or i implies l and k implies j | 15 | true |
r is true, m is true, s is true, p is true, x is true, c is false, d is true, t is false, l is true, h is false, n is true, v is false | h implies n implies r or t and s and m implies s and d implies v and v or n and h or m implies l and c or v and x implies p | 17 | true |
e is false, q is true, x is false, f is false, d is true, k is false, g is true, n is false, c is true | f and c implies g and q or x or e or d and n and c or k or g or x or f | 12 | true |
e is false, r is true, j is true, m is false, w is false, p is true, x is true, z is true, f is false, v is false, u is false, i is false, t is true, d is false, g is false, n is true, c is false | g or c and g implies n implies z and w or t and j and c or v implies i implies f and d implies m and e or u or j or x implies p implies r | 19 | true |
r is false, b is true, z is true, o is true | z or r implies b or o | 3 | true |
e is false, r is false, j is false, p is false, b is false, o is false, t is true, f is true | e and j or t or o and f and o implies r or b and p implies t | 9 | true |
r is false, j is false, h is true, b is false, x is true, w is false, d is true, y is false, g is false, n is false, f is false | j and f or n implies g implies b and y implies h implies y or d and r or x and n and w | 12 | false |
i is false, s is true | s and i | 1 | false |
r is true, m is false, w is false, x is false, u is false, c is true, o is false, i is false, y is false, a is true, g is true, f is true | g and y implies x implies u and g or w or r or g and f implies x or o or i and c implies x implies y or m or a | 16 | true |
e is true, q is true, u is true, i is false, h is true | h implies i or q implies e or u implies q | 5 | true |
x is false, u is false, d is true, i is false, h is false | h and i and x implies u implies d | 4 | true |
r is false, h is true, x is true, l is true, g is true, n is true | n and x implies r or l or g or h | 5 | true |
e is false, q is true, w is true, h is true, b is false, z is true, i is false, y is true, a is false, u is true, f is true | w and e implies a or u or h and b implies z implies a and h or h or y implies i or i implies a or a and f implies q | 16 | true |
j is false, b is false, i is false, k is true, g is false | g and j or b or k and i | 4 | false |
q is true, j is false, b is false, z is true, u is true, d is false, y is false, k is true, g is true, n is false, v is true | v implies d implies q implies j or z or g or u and z or u or y or v or k or n or b implies n implies b or u | 16 | true |
g is true, l is false, s is true | s or l or g | 2 | true |
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