% Mizar problem: t35_gtarski4,gtarski4,1095,7 
fof(t35_gtarski4, conjecture,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) &  (v1_gtarski2(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))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ~ ( (r6_gtarski4(A, B, C, E, B) &  (r6_gtarski1(A, B, C, F) & r1_gtarski1(A, D, F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
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(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(cc19_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v1_gtarski2(A) => v9_gtarski3(A)) ) ) ).
fof(cc1_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & v1_gtarski3(A)) )  =>  (v2_gtarski1(A) &  (v3_gtarski1(A) & v6_gtarski1(A)) ) ) ) ) ).
fof(cc2_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & v6_gtarski1(A)) )  =>  (v2_gtarski1(A) &  (v3_gtarski1(A) & v1_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(cc6_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & v8_gtarski1(A)) ) ) ) ) )  => v9_gtarski1(A)) ) ) ).
fof(cc6_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v5_gtarski3(A) => v5_gtarski1(A)) ) ) ).
fof(cc7_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v9_gtarski1(A) =>  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & v8_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(cc9_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v9_gtarski3(A) => v1_gtarski2(A)) ) ) ).
fof(commutativity_k1_gtarski4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k1_gtarski4(A, B, C)=k1_gtarski4(A, C, B)) ) ).
fof(d10_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v7_gtarski1(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_gtarski1(A, B, C, B) => B=C) ) ) ) ) ) ) ) ).
fof(d11_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_gtarski1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (r8_gtarski3(A, B) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) &  ( ~ (C=D)  & B=k2_gtarski3(A, C, D)) ) ) ) ) ) ) ) ) ) ).
fof(d12_gtarski3, 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, C, D) <=>  (r1_gtarski1(A, B, D, C) & r2_gtarski1(A, D, B, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d13_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_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)) =>  (D=k3_gtarski3(A, B, C) <=> r9_gtarski3(A, C, D, B)) ) ) ) ) ) ) ) ) ).
fof(d17_gtarski1, 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)) =>  (r6_gtarski1(A, B, C, D) <=>  ~ ( ( ~ (r1_gtarski1(A, B, C, D))  &  ( ~ (r1_gtarski1(A, C, D, B))  &  ~ (r1_gtarski1(A, D, B, C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_gtarski4, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_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)) =>  (r1_gtarski4(A, B, C, D) <=> r2_gtarski1(A, B, D, B, k3_gtarski3(A, C, D))) ) ) ) ) ) ) ) ) ).
fof(d2_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_gtarski4(A, B, C, D) <=>  (r8_gtarski3(A, B) &  (r8_gtarski3(A, C) &  (r2_hidden(D, B) &  (r2_hidden(D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  ( (r2_hidden(E, B) & r2_hidden(F, C))  => r1_gtarski4(A, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_gtarski4(A, B, C) <=>  (? [D] :  (m1_subset_1(D, u1_struct_0(A)) & r2_gtarski4(A, B, C, D)) ) ) ) ) ) ) ) ) ).
fof(d5_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_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)) =>  (r5_gtarski4(A, B, C, D, E, F) <=>  ( ~ (B=C)  &  ( ~ (E=F)  & r2_gtarski4(A, k1_gtarski4(A, B, C), k1_gtarski4(A, E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_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)) =>  (r6_gtarski4(A, B, C, D, E) <=>  ( ~ (B=C)  &  ( ~ (D=E)  & r3_gtarski4(A, k1_gtarski4(A, B, C), k1_gtarski4(A, D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_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)) =>  (r8_gtarski4(A, B, C, D, E) <=>  (r6_gtarski1(A, B, C, E) & r6_gtarski4(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k1_gtarski4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k1_gtarski4(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_gtarski3, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_gtarski1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k2_gtarski3(A, B, C), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k3_gtarski3, axiom,  (! [A, B, C] :  ( ( (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) & l1_gtarski1(A)) ) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k3_gtarski3(A, B, C), u1_struct_0(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(l1_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_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) => r2_hidden(D, k1_gtarski4(A, B, C))) ) ) ) ) ) ) ) ) ).
fof(l2_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_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)) =>  (r2_hidden(C, k1_gtarski4(A, B, D)) => r6_gtarski1(A, C, B, D)) ) ) ) ) ) ) ) ) ).
fof(rc1_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) &  (v9_gtarski1(A) &  (v1_gtarski2(A) & v1_gtarski3(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  &  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v6_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) &  (v9_gtarski1(A) &  (v1_gtarski2(A) & v1_gtarski3(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski3(A) & v3_gtarski3(A)) ) ) ).
fof(rc5_gtarski1, axiom,  (? [A] :  (l1_gtarski1(A) &  ( ~ (v2_struct_0(A))  & v9_gtarski1(A)) ) ) ).
fof(rc5_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v3_gtarski3(A) & v5_gtarski3(A)) ) ) ).
fof(redefinition_k1_gtarski4, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_gtarski1(A) &  (v5_gtarski1(A) &  (v7_gtarski1(A) &  (v8_gtarski1(A) & l1_gtarski1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => k1_gtarski4(A, B, C)=k2_gtarski3(A, B, C)) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(t117_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) &  (v1_gtarski2(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)) =>  ~ ( (r2_gtarski1(A, D, B, D, C) &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (r9_gtarski3(A, B, C, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_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)) =>  (r1_gtarski1(A, B, C, D) => r1_gtarski1(A, D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t24_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_gtarski4(A, B, C, D) <=>  (r8_gtarski3(A, B) &  (r8_gtarski3(A, C) &  (r2_hidden(D, B) &  (r2_hidden(D, C) &  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (r2_hidden(E, B) &  (r2_hidden(F, C) &  ( ~ (E=D)  &  ( ~ (F=D)  & r1_gtarski4(A, E, D, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t29_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_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)) =>  (r6_gtarski1(A, C, D, B) =>  (C=D |  (r6_gtarski4(A, C, D, E, B) <=> r5_gtarski4(A, C, D, B, E, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) &  (v1_gtarski2(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))  &  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  ~ (r8_gtarski4(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t34_gtarski4, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_gtarski1(A) &  (v1_gtarski2(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)) =>  ( (r1_gtarski4(A, B, C, D) & r9_gtarski3(A, k3_gtarski3(A, B, D), k3_gtarski3(A, C, D), E))  =>  (r1_gtarski4(A, C, B, E) &  ~ ( ( ~ (C=D)  & B=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_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, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(t40_gtarski3, axiom,  (! [A] :  ( (v9_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)) =>  (! [H] :  (m1_subset_1(H, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, B, C, D) &  (r1_gtarski1(A, F, G, D) &  (r1_gtarski1(A, B, E, F) &  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) =>  ~ ( (r1_gtarski1(A, E, I, D) & r1_gtarski1(A, C, I, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(t46_gtarski3, axiom,  (! [A] :  ( (v4_gtarski1(A) &  (v5_gtarski1(A) & l1_gtarski1(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r6_gtarski1(A, B, B, C)) ) ) ) ) ) ).
fof(t5_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_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, D, E, F, G))  => r2_gtarski1(A, B, C, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t82_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v9_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)) =>  (r2_tarski(D, k2_gtarski3(A, B, C)) =>  (B=C |  (D=B | k2_gtarski3(A, B, C)=k2_gtarski3(A, B, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t83_gtarski3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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)) =>  (r2_tarski(B, k2_gtarski3(A, B, C)) &  (r2_tarski(C, k2_gtarski3(A, B, C)) & k2_gtarski3(A, B, C)=k2_gtarski3(A, C, B)) ) ) ) ) ) ) ) ).
fof(t96_gtarski3, axiom,  (! [A] :  ( (v2_gtarski1(A) &  (v3_gtarski1(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, C, D) => r9_gtarski3(A, C, B, D)) ) ) ) ) ) ) ) ) ).
