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