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