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