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