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