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