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