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