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