% Mizar problem: t7_gtarski4,gtarski4,177,7 
fof(t7_gtarski4, conjecture,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_gtarski3(A, B, D, C) | r1_gtarski1(A, B, C, D))  =>  (r6_gtarski1(A, B, C, D) &  (r6_gtarski1(A, C, D, B) &  (r6_gtarski1(A, D, B, C) &  (r6_gtarski1(A, D, C, B) &  (r6_gtarski1(A, C, B, D) & r6_gtarski1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc15_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski1(A) => v4_gtarski3(A)) ) ) ).
fof(cc16_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v5_gtarski1(A) => v5_gtarski3(A)) ) ) ).
fof(cc17_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v7_gtarski1(A) => v7_gtarski3(A)) ) ) ).
fof(cc18_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v8_gtarski1(A) => v8_gtarski3(A)) ) ) ).
fof(cc5_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski3(A) => v4_gtarski1(A)) ) ) ).
fof(cc6_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v5_gtarski3(A) => v5_gtarski1(A)) ) ) ).
fof(cc7_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v7_gtarski3(A) => v7_gtarski1(A)) ) ) ).
fof(cc8_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v8_gtarski3(A) => v8_gtarski1(A)) ) ) ).
fof(dt_l1_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_struct_0, axiom, $true).
fof(existence_l1_gtarski1, axiom,  (? [A] : l1_gtarski1(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(t45_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r6_gtarski1(A, B, C, D) =>  (r6_gtarski1(A, C, D, B) &  (r6_gtarski1(A, D, B, C) &  (r6_gtarski1(A, D, C, B) &  (r6_gtarski1(A, C, B, D) & r6_gtarski1(A, B, D, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_gtarski4, axiom,  (! [A] :  (l1_gtarski1(A) =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  ( (r9_gtarski3(A, B, D, C) | r1_gtarski1(A, B, C, D))  => r6_gtarski1(A, B, C, D)) ) ) ) ) ) ) ) ) ).
