% Mizar problem: t10_hilbert3,hilbert3,190,5 
fof(t10_hilbert3, conjecture,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (k6_funct_4(A, B, C, D)=k6_funct_4(A, B, E, F) =>  (A=B |  (C=E & D=F) ) ) ) ) ) ) ) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k6_funct_4, axiom, $true).
fof(fc2_funct_4, axiom,  (! [A, B, C, D] :  (v1_relat_1(k6_funct_4(A, B, C, D)) & v1_funct_1(k6_funct_4(A, B, C, D))) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(t63_funct_4, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( ( ~ (A=B)  => k1_funct_1(k6_funct_4(A, B, C, D), A)=C)  & k1_funct_1(k6_funct_4(A, B, C, D), B)=D) ) ) ) ) ).
