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