% Mizar problem: t10_nomin_4,nomin_4,395,7 
fof(t10_nomin_4, conjecture,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ~ ( ( ~ (r5_nomin_4(A, B))  &  ( ~ (r5_nomin_4(B, A))  &  ~ (A=B) ) ) ) ) ) ) ) ).
fof(asymmetry_r5_nomin_4, axiom,  (! [A, B] :  (r5_nomin_4(A, B) =>  ~ (r5_nomin_4(B, A)) ) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d11_nomin_4, axiom,  (! [A] :  (! [B] :  (r5_nomin_4(A, B) <=>  (? [C] :  (v1_xxreal_0(C) &  (? [D] :  (v1_xxreal_0(D) &  (C=A &  (D=B &  ~ (r1_xxreal_0(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(irreflexivity_r5_nomin_4, axiom,  (! [A, B] :  ~ (r5_nomin_4(A, A)) ) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(t1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) =>  (! [B] :  (v1_xxreal_0(B) =>  ( (r1_xxreal_0(A, B) & r1_xxreal_0(B, A))  => A=B) ) ) ) ) ).
