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