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