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