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