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