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