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