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