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