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