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