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