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