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