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