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