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