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