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