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