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