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