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