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