% Mizar problem: t5_conaffm,conaffm,660,45 fof(t5_conaffm,conjecture,( ! [A] : ( ( ~ v3_struct_0(A) & v3_analmetr(A) & l1_analmetr(A) ) => ( v5_conaffm(A) => v4_conaffm(A) ) ) ), inference(mizar_bg_added,[status(thm)],[abstractness_v1_analoaf,cc1_analmetr,d11_analmetr,d1_aff_1,d4_conaffm,d5_conaffm,d6_conaffm,dt_g1_analoaf,dt_k1_zfmisc_1,dt_k2_zfmisc_1,dt_k3_analmetr,dt_l1_analmetr,dt_l1_analoaf,dt_l1_struct_0,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_analoaf,dt_u1_struct_0,existence_l1_analmetr,existence_l1_analoaf,existence_l1_struct_0,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc2_analmetr,fc3_analmetr,fc4_analmetr,free_g1_analoaf,rc2_analmetr,redefinition_m2_relset_1,t13_aff_1,t15_aff_1,t16_aff_1,t3_conaffm,t47_analmetr,t48_analmetr,t51_analmetr,t55_analmetr,t74_aff_1,t81_analmetr,t82_analmetr,t83_analmetr,t84_analmetr,t85_analmetr]), [file(conaffm,t5_conaffm)]). fof(abstractness_v1_analoaf,axiom,( ! [A] : ( l1_analoaf(A) => ( v1_analoaf(A) => A = g1_analoaf(u1_struct_0(A),u1_analoaf(A)) ) ) ), file(analoaf,v1_analoaf), []). fof(cc1_analmetr,axiom,( ! [A] : ( l1_analmetr(A) => ( ( ~ v3_struct_0(A) & v3_analmetr(A) ) => ( ~ v3_struct_0(A) & v2_analmetr(A) ) ) ) ), file(analmetr,cc1_analmetr), []). fof(d11_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & l1_analmetr(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_analmetr(A,B,C,D) <=> r4_analmetr(A,B,C,B,D) ) ) ) ) ) ), file(analmetr,d11_analmetr), []). fof(d1_aff_1,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & ~ v3_realset2(A) & v1_diraf(A) & l1_analoaf(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_aff_1(A,B,C,D) <=> r2_analoaf(A,B,C,B,D) ) ) ) ) ) ), file(aff_1,d1_aff_1), []). fof(d4_conaffm,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v3_analmetr(A) & l1_analmetr(A) ) => ( v4_conaffm(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)) => ( ( r5_analmetr(A,B,C,B,D) & r5_analmetr(A,B,E,B,F) & r5_analmetr(A,B,G,B,H) & r5_analmetr(A,C,E,D,F) & r5_analmetr(A,C,G,D,H) ) => ( r4_analmetr(A,B,G,B,C) | r4_analmetr(A,B,C,B,E) | r5_analmetr(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) ) ), file(conaffm,d4_conaffm), []). fof(d5_conaffm,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v3_analmetr(A) & l1_analmetr(A) ) => ( v5_conaffm(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)) => ( ( r5_analmetr(A,B,G,B,H) & r5_analmetr(A,B,C,B,D) & r5_analmetr(A,B,E,B,F) & r6_analmetr(A,B,C,E) & r6_analmetr(A,B,D,F) & r5_analmetr(A,C,G,D,H) & r5_analmetr(A,E,G,F,H) ) => ( B = C | B = D | B = E | B = F | B = G | B = H | C = E | r6_analmetr(A,B,G,C) | r4_analmetr(A,C,D,E,F) ) ) ) ) ) ) ) ) ) ) ) ), file(conaffm,d5_conaffm), []). fof(d6_conaffm,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v3_analmetr(A) & l1_analmetr(A) ) => ( v6_conaffm(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)) => ( ( r5_analmetr(A,B,G,B,H) & r5_analmetr(A,B,C,B,D) & r5_analmetr(A,B,E,B,F) & r6_analmetr(A,B,C,E) & r6_analmetr(A,B,D,F) & r5_analmetr(A,C,G,D,H) & r4_analmetr(A,C,D,E,F) ) => ( B = C | B = D | B = E | B = F | B = G | B = H | C = E | r6_analmetr(A,B,G,C) | r5_analmetr(A,E,G,F,H) ) ) ) ) ) ) ) ) ) ) ) ), file(conaffm,d6_conaffm), []). fof(dt_g1_analoaf,axiom,( ! [A,B] : ( m1_relset_1(B,k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)) => ( v1_analoaf(g1_analoaf(A,B)) & l1_analoaf(g1_analoaf(A,B)) ) ) ), file(analoaf,g1_analoaf), []). fof(dt_k1_zfmisc_1,axiom,( $true ), file(zfmisc_1,k1_zfmisc_1), []). fof(dt_k2_zfmisc_1,axiom,( $true ), file(zfmisc_1,k2_zfmisc_1), []). fof(dt_k3_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & l1_analmetr(A) ) => ( v1_analoaf(k3_analmetr(A)) & l1_analoaf(k3_analmetr(A)) ) ) ), file(analmetr,k3_analmetr), []). fof(dt_l1_analmetr,axiom,( ! [A] : ( l1_analmetr(A) => l1_analoaf(A) ) ), file(analmetr,l1_analmetr), []). fof(dt_l1_analoaf,axiom,( ! [A] : ( l1_analoaf(A) => l1_struct_0(A) ) ), file(analoaf,l1_analoaf), []). fof(dt_l1_struct_0,axiom,( $true ), file(struct_0,l1_struct_0), []). fof(dt_m1_relset_1,axiom,( $true ), file(relset_1,m1_relset_1), []). fof(dt_m1_subset_1,axiom,( $true ), file(subset_1,m1_subset_1), []). fof(dt_m2_relset_1,axiom,( ! [A,B,C] : ( m2_relset_1(C,A,B) => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ), file(relset_1,m2_relset_1), []). fof(dt_u1_analoaf,axiom,( ! [A] : ( l1_analoaf(A) => m2_relset_1(u1_analoaf(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A))) ) ), file(analoaf,u1_analoaf), []). fof(dt_u1_struct_0,axiom,( $true ), file(struct_0,u1_struct_0), []). fof(existence_l1_analmetr,axiom,( ? [A] : l1_analmetr(A) ), file(analmetr,l1_analmetr), []). fof(existence_l1_analoaf,axiom,( ? [A] : l1_analoaf(A) ), file(analoaf,l1_analoaf), []). fof(existence_l1_struct_0,axiom,( ? [A] : l1_struct_0(A) ), file(struct_0,l1_struct_0), []). fof(existence_m1_relset_1,axiom,( ! [A,B] : ? [C] : m1_relset_1(C,A,B) ), file(relset_1,m1_relset_1), []). fof(existence_m1_subset_1,axiom,( ! [A] : ? [B] : m1_subset_1(B,A) ), file(subset_1,m1_subset_1), []). fof(existence_m2_relset_1,axiom,( ! [A,B] : ? [C] : m2_relset_1(C,A,B) ), file(relset_1,m2_relset_1), []). fof(fc2_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & l1_analmetr(A) ) => ( ~ v3_struct_0(k3_analmetr(A)) & v1_analoaf(k3_analmetr(A)) ) ) ), file(analmetr,fc2_analmetr), []). fof(fc3_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v2_analmetr(A) & l1_analmetr(A) ) => ( ~ v3_struct_0(k3_analmetr(A)) & ~ v3_realset2(k3_analmetr(A)) & v1_analoaf(k3_analmetr(A)) & v1_diraf(k3_analmetr(A)) ) ) ), file(analmetr,fc3_analmetr), []). fof(fc4_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v3_analmetr(A) & l1_analmetr(A) ) => ( ~ v3_struct_0(k3_analmetr(A)) & ~ v3_realset2(k3_analmetr(A)) & v1_analoaf(k3_analmetr(A)) & v1_diraf(k3_analmetr(A)) & v2_diraf(k3_analmetr(A)) ) ) ), file(analmetr,fc4_analmetr), []). fof(free_g1_analoaf,axiom,( ! [A,B] : ( m1_relset_1(B,k2_zfmisc_1(A,A),k2_zfmisc_1(A,A)) => ! [C,D] : ( g1_analoaf(A,B) = g1_analoaf(C,D) => ( A = C & B = D ) ) ) ), file(analoaf,g1_analoaf), []). fof(rc2_analmetr,axiom,( ? [A] : ( l1_analmetr(A) & ~ v3_struct_0(A) ) ), file(analmetr,rc2_analmetr), []). fof(redefinition_m2_relset_1,axiom,( ! [A,B,C] : ( m2_relset_1(C,A,B) <=> m1_relset_1(C,A,B) ) ), file(relset_1,m2_relset_1), []). fof(t13_aff_1,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & ~ v3_realset2(A) & v1_diraf(A) & l1_analoaf(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_analoaf(A,B,C,D,E) => ( r2_analoaf(A,B,C,E,D) & r2_analoaf(A,C,B,D,E) & r2_analoaf(A,C,B,E,D) & r2_analoaf(A,D,E,B,C) & r2_analoaf(A,D,E,C,B) & r2_analoaf(A,E,D,B,C) & r2_analoaf(A,E,D,C,B) ) ) ) ) ) ) ) ), file(aff_1,t13_aff_1), []). fof(t15_aff_1,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & ~ v3_realset2(A) & v1_diraf(A) & l1_analoaf(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_aff_1(A,B,C,D) => ( r1_aff_1(A,B,D,C) & r1_aff_1(A,C,B,D) & r1_aff_1(A,C,D,B) & r1_aff_1(A,D,B,C) & r1_aff_1(A,D,C,B) ) ) ) ) ) ) ), file(aff_1,t15_aff_1), []). fof(t16_aff_1,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & ~ v3_realset2(A) & v1_diraf(A) & l1_analoaf(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => ( r1_aff_1(A,B,B,C) & r1_aff_1(A,B,C,C) & r1_aff_1(A,B,C,B) ) ) ) ) ), file(aff_1,t16_aff_1), []). fof(t3_conaffm,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v3_analmetr(A) & l1_analmetr(A) ) => ( v5_conaffm(A) => v6_conaffm(A) ) ) ), file(conaffm,t3_conaffm), []). fof(t47_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & l1_analmetr(A) ) => ! [B] : ( m1_subset_1(B,u1_struct_0(A)) <=> m1_subset_1(B,u1_struct_0(k3_analmetr(A))) ) ) ), file(analmetr,t47_analmetr), []). fof(t48_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & l1_analmetr(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(k3_analmetr(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k3_analmetr(A))) => ! [H] : ( m1_subset_1(H,u1_struct_0(k3_analmetr(A))) => ! [I] : ( m1_subset_1(I,u1_struct_0(k3_analmetr(A))) => ( ( B = F & C = G & D = H & E = I ) => ( r4_analmetr(A,B,C,D,E) <=> r2_analoaf(k3_analmetr(A),F,G,H,I) ) ) ) ) ) ) ) ) ) ) ) ), file(analmetr,t48_analmetr), []). fof(t51_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & l1_analmetr(A) ) => ( v3_analmetr(A) <=> ( ~ ! [B] : ( m1_subset_1(B,u1_struct_0(A)) => ! [C] : ( m1_subset_1(C,u1_struct_0(A)) => B = C ) ) & ! [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)) => ! [I] : ( m1_subset_1(I,u1_struct_0(A)) => ( r4_analmetr(A,B,C,C,B) & r4_analmetr(A,B,C,D,D) & ~ ( r4_analmetr(A,B,C,F,G) & r4_analmetr(A,B,C,H,I) & ~ r4_analmetr(A,F,G,H,I) & B != C ) & ( r4_analmetr(A,B,C,B,D) => r4_analmetr(A,C,B,C,D) ) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r4_analmetr(A,B,C,D,J) & r4_analmetr(A,B,D,C,J) ) & ~ ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ! [K] : ( m1_subset_1(K,u1_struct_0(A)) => ! [L] : ( m1_subset_1(L,u1_struct_0(A)) => r4_analmetr(A,J,K,J,L) ) ) ) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r4_analmetr(A,B,C,D,J) & D != J ) & ~ ( r4_analmetr(A,B,C,C,E) & C != B & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r4_analmetr(A,D,C,C,J) & r4_analmetr(A,D,B,E,J) ) ) ) & ( r5_analmetr(A,B,C,B,C) => B = C ) & r5_analmetr(A,B,C,D,D) & ( r5_analmetr(A,B,C,D,E) => ( r5_analmetr(A,B,C,E,D) & r5_analmetr(A,D,E,B,C) ) ) & ~ ( r5_analmetr(A,B,C,F,G) & r4_analmetr(A,B,C,H,I) & ~ r5_analmetr(A,F,G,H,I) & B != C ) & ~ ( r5_analmetr(A,B,C,F,G) & r5_analmetr(A,B,C,H,I) & ~ r4_analmetr(A,F,G,H,I) & B != C ) & ? [J] : ( m1_subset_1(J,u1_struct_0(A)) & r5_analmetr(A,B,C,D,J) & D != J ) & ~ ( ~ r4_analmetr(A,B,C,D,E) & ! [J] : ( m1_subset_1(J,u1_struct_0(A)) => ~ ( r4_analmetr(A,B,C,B,J) & r4_analmetr(A,D,E,D,J) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ), file(analmetr,t51_analmetr), []). fof(t55_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v2_analmetr(A) & l1_analmetr(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(k3_analmetr(A))) => ! [F] : ( m1_subset_1(F,u1_struct_0(k3_analmetr(A))) => ! [G] : ( m1_subset_1(G,u1_struct_0(k3_analmetr(A))) => ( ( B = E & C = F & D = G ) => ( r6_analmetr(A,B,C,D) <=> r1_aff_1(k3_analmetr(A),E,F,G) ) ) ) ) ) ) ) ) ) ), file(analmetr,t55_analmetr), []). fof(t74_aff_1,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & ~ v3_realset2(A) & v1_diraf(A) & v2_diraf(A) & l1_analoaf(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_analoaf(A,B,C,D,E) & ! [F] : ( m1_subset_1(F,u1_struct_0(A)) => ~ ( r1_aff_1(A,B,C,F) & r1_aff_1(A,D,E,F) ) ) ) ) ) ) ) ) ), file(aff_1,t74_aff_1), []). fof(t81_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v2_analmetr(A) & l1_analmetr(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)) => ( r4_analmetr(A,B,C,D,E) => ( r4_analmetr(A,B,C,E,D) & r4_analmetr(A,C,B,D,E) & r4_analmetr(A,C,B,E,D) & r4_analmetr(A,D,E,B,C) & r4_analmetr(A,D,E,C,B) & r4_analmetr(A,E,D,B,C) & r4_analmetr(A,E,D,C,B) ) ) ) ) ) ) ) ), file(analmetr,t81_analmetr), []). fof(t82_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v2_analmetr(A) & l1_analmetr(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)) => ~ ( B != C & ~ ( ~ ( r4_analmetr(A,B,C,D,E) & r4_analmetr(A,B,C,F,G) ) & ~ ( r4_analmetr(A,B,C,D,E) & r4_analmetr(A,F,G,B,C) ) & ~ ( r4_analmetr(A,D,E,B,C) & r4_analmetr(A,F,G,B,C) ) & ~ ( r4_analmetr(A,D,E,B,C) & r4_analmetr(A,B,C,F,G) ) ) & ~ r4_analmetr(A,D,E,F,G) ) ) ) ) ) ) ) ) ), file(analmetr,t82_analmetr), []). fof(t83_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v2_analmetr(A) & l1_analmetr(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)) => ( r5_analmetr(A,B,C,D,E) => ( r5_analmetr(A,B,C,E,D) & r5_analmetr(A,C,B,D,E) & r5_analmetr(A,C,B,E,D) & r5_analmetr(A,D,E,B,C) & r5_analmetr(A,D,E,C,B) & r5_analmetr(A,E,D,B,C) & r5_analmetr(A,E,D,C,B) ) ) ) ) ) ) ) ), file(analmetr,t83_analmetr), []). fof(t84_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v2_analmetr(A) & l1_analmetr(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)) => ~ ( B != C & ~ ( ~ ( r4_analmetr(A,B,C,D,E) & r5_analmetr(A,B,C,F,G) ) & ~ ( r4_analmetr(A,B,C,F,G) & r5_analmetr(A,B,C,D,E) ) & ~ ( r4_analmetr(A,B,C,D,E) & r5_analmetr(A,F,G,B,C) ) & ~ ( r4_analmetr(A,B,C,F,G) & r5_analmetr(A,D,E,B,C) ) & ~ ( r4_analmetr(A,D,E,B,C) & r5_analmetr(A,F,G,B,C) ) & ~ ( r4_analmetr(A,F,G,B,C) & r5_analmetr(A,D,E,B,C) ) & ~ ( r4_analmetr(A,D,E,B,C) & r5_analmetr(A,B,C,F,G) ) & ~ ( r4_analmetr(A,F,G,B,C) & r5_analmetr(A,B,C,D,E) ) ) & ~ r5_analmetr(A,D,E,F,G) ) ) ) ) ) ) ) ) ), file(analmetr,t84_analmetr), []). fof(t85_analmetr,axiom,( ! [A] : ( ( ~ v3_struct_0(A) & v3_analmetr(A) & l1_analmetr(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)) => ~ ( B != C & ~ ( ~ ( r5_analmetr(A,B,C,D,E) & r5_analmetr(A,B,C,F,G) ) & ~ ( r5_analmetr(A,B,C,D,E) & r5_analmetr(A,F,G,B,C) ) & ~ ( r5_analmetr(A,D,E,B,C) & r5_analmetr(A,F,G,B,C) ) & ~ ( r5_analmetr(A,D,E,B,C) & r5_analmetr(A,B,C,F,G) ) ) & ~ r4_analmetr(A,D,E,F,G) ) ) ) ) ) ) ) ) ), file(analmetr,t85_analmetr), []).