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