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