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