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