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