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