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