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