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