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