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