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