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