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