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