I would like to find c and t coefficients in simple "result=x*t+c" formula for some given result/x pairs:
from z3 import *
x=Int('x')
c=Int('c')
t=Int('t')
s=Solver()
f = Function('f', IntSort(), IntSort())
# x*t+c = result
# x, result = [(1,55), (12,34), (13,300)]
s.add (f(x)==(x*t+c))
s.add (f(1)==55, f(12)==34, f(13)==300)
t=s.check()
if t==sat:
print s.model()
else:
print t
... but the result is obviously wrong. I probably need to find out how to map function arguments.
How should I define function correctly?