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