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