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