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