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