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