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