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