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