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