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