% Mizar problem: t3_gtarski4,gtarski4,110,7 
fof(t3_gtarski4, conjecture,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_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)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ ( ( ~ (r2_gtarski1(A, B, C, D, E))  &  ( ~ (r2_gtarski1(A, B, C, E, D))  &  ( ~ (r2_gtarski1(A, C, B, D, E))  &  ( ~ (r2_gtarski1(A, C, B, E, D))  &  ( ~ (r2_gtarski1(A, D, E, B, C))  &  ( ~ (r2_gtarski1(A, E, D, B, C))  &  ( ~ (r2_gtarski1(A, D, E, C, B))  &  ~ (r2_gtarski1(A, E, D, C, B)) ) ) ) ) ) ) ) )  &  ( ~ ( ( ~ (r2_gtarski1(A, B, C, F, G))  &  ( ~ (r2_gtarski1(A, B, C, G, F))  &  ( ~ (r2_gtarski1(A, C, B, F, G))  &  ( ~ (r2_gtarski1(A, C, B, G, F))  &  ( ~ (r2_gtarski1(A, F, G, B, C))  &  ( ~ (r2_gtarski1(A, G, F, B, C))  &  ( ~ (r2_gtarski1(A, F, G, C, B))  &  ~ (r2_gtarski1(A, G, F, C, B)) ) ) ) ) ) ) ) )  &  ~ ( (r2_gtarski1(A, D, E, G, F) &  (r2_gtarski1(A, E, D, F, G) &  (r2_gtarski1(A, E, D, G, F) &  (r2_gtarski1(A, F, G, D, E) &  (r2_gtarski1(A, G, F, D, E) &  (r2_gtarski1(A, F, G, E, D) &  (r2_gtarski1(A, G, F, E, D) & r2_gtarski1(A, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(cc13_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski1(A) => v2_gtarski3(A)) ) ) ).
fof(cc14_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski1(A) => v3_gtarski3(A)) ) ) ).
fof(cc15_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski1(A) => v4_gtarski3(A)) ) ) ).
fof(cc3_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski3(A) => v2_gtarski1(A)) ) ) ).
fof(cc4_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski3(A) => v3_gtarski1(A)) ) ) ).
fof(cc5_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v4_gtarski3(A) => v4_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(rc3_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski3(A) & v3_gtarski3(A)) ) ) ).
fof(t1_gtarski4, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_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)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r2_gtarski1(A, B, C, D, E) =>  (r2_gtarski1(A, B, C, E, D) &  (r2_gtarski1(A, C, B, D, E) &  (r2_gtarski1(A, C, B, E, D) &  (r2_gtarski1(A, D, E, B, C) &  (r2_gtarski1(A, E, D, B, C) &  (r2_gtarski1(A, D, E, C, B) & r2_gtarski1(A, E, D, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t2_gtarski4, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_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)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (! [G] :  (m1_subset_1(G, u1_struct_0(A)) =>  ~ ( ( ~ ( ( ~ (r2_gtarski1(A, B, C, D, E))  &  ( ~ (r2_gtarski1(A, B, C, E, D))  &  ( ~ (r2_gtarski1(A, C, B, D, E))  &  ~ (r2_gtarski1(A, C, B, E, D)) ) ) ) )  &  ( ~ ( ( ~ (r2_gtarski1(A, B, C, F, G))  &  ( ~ (r2_gtarski1(A, B, C, G, F))  &  ( ~ (r2_gtarski1(A, C, B, F, G))  &  ~ (r2_gtarski1(A, C, B, G, F)) ) ) ) )  &  ~ ( (r2_gtarski1(A, D, E, G, F) &  (r2_gtarski1(A, E, D, F, G) &  (r2_gtarski1(A, E, D, G, F) &  (r2_gtarski1(A, F, G, D, E) &  (r2_gtarski1(A, G, F, D, E) &  (r2_gtarski1(A, F, G, E, D) & r2_gtarski1(A, G, F, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
