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