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