% Mizar problem: t36_prefer_1,prefer_1,714,7 
fof(t36_prefer_1, conjecture,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  ( (r1_xboole_0(A, B) & v3_relat_2(B))  => r1_xboole_0(k2_relat_1(A), B)) ) ) ) ) ).
fof(dt_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => v1_relat_1(k2_relat_1(A))) ) ).
fof(fc9_relat_2, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_relat_2(A))  =>  (v1_relat_1(k2_relat_1(A)) & v3_relat_2(k2_relat_1(A))) ) ) ).
fof(involutiveness_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k2_relat_1(k2_relat_1(A))=A) ) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(t13_prefer_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_xboole_0(A, B) => r1_xboole_0(k2_relat_1(A), k2_relat_1(B))) ) ) ) ) ).
fof(t13_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (v3_relat_2(A) <=> A=k2_relat_1(A)) ) ) ).
