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