;; This is supposed to prove that the 3 bisectors of a triangle
;; intersect at a single point
(string-grobner-system
"[U1*Y-V1*X,-X2*Y+U2*Y+V2*X2-V2*X,X*Y3-U3*Y3-X3*Y+U3*Y+V3*X3-V3*X,-X3-X2+2*U1,2*V1-Y3,2*U2-X3,2*V2-Y3,2*U3-X2,2*V3]"
'(x y u1 v1 u2 v2 u3 v3)
'(x2 x3 y3)
:main-order #'grlex>
:parameter-order #'grlex>)