% Mizar problem: t5_wellset1,wellset1,160,5 
fof(t5_wellset1, conjecture,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ~ ( ( (! [C] :  (r2_tarski(C, B) =>  ( ~ (r2_tarski(k1_funct_1(A, C), C))  & r2_tarski(k1_funct_1(A, C), k3_tarski(B))) ) )  &  (! [C] :  (v1_relat_1(C) =>  ~ ( (r1_tarski(k1_relat_1(C), k3_tarski(B)) &  (v2_wellord1(C) &  ( ~ (r2_tarski(k1_relat_1(C), B))  &  (! [D] :  (r2_tarski(D, k1_relat_1(C)) =>  (r2_tarski(k1_wellord1(C, D), B) & k1_funct_1(A, k1_wellord1(C, D))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_1(A)) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(d1_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_relat_2(A, B) <=>  (! [C] :  (r2_hidden(C, B) => r2_hidden(k4_tarski(C, C), A)) ) ) ) ) ) ).
fof(d1_tarski, axiom,  (! [A] :  (! [B] :  (B=k1_tarski(A) <=>  (! [C] :  (r2_hidden(C, B) <=> C=A) ) ) ) ) ).
fof(d1_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : k1_wellord1(A, B)=k6_subset_1(k10_relat_1(A, B), k1_tarski(B))) ) ) ).
fof(d2_zfmisc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_zfmisc_1(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  (? [F] :  (r2_hidden(E, A) &  (r2_hidden(F, B) & D=k4_tarski(E, F)) ) ) ) ) ) ) ) ) ) ).
fof(d3_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), A) => r2_hidden(k4_tarski(C, D), B)) ) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d3_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_wellord1(A, B) <=>  (! [C] :  ~ ( (r1_tarski(C, B) &  ( ~ (C=k1_xboole_0)  &  (! [D] :  ~ ( (r2_hidden(D, C) & r1_xboole_0(k1_wellord1(A, D), C)) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) | r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d4_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r4_relat_2(A, B) <=>  (! [C] :  (! [D] :  ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  (r2_hidden(k4_tarski(C, D), A) & r2_hidden(k4_tarski(D, C), A)) ) )  => C=D) ) ) ) ) ) ) ).
fof(d4_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k3_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) & r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d5_tarski, axiom,  (! [A] :  (! [B] : k4_tarski(A, B)=k2_tarski(k2_tarski(A, B), k1_tarski(A))) ) ).
fof(d5_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_wellord1(A, B) <=>  (r1_relat_2(A, B) &  (r8_relat_2(A, B) &  (r4_relat_2(A, B) &  (r6_relat_2(A, B) & r1_wellord1(A, B)) ) ) ) ) ) ) ) ).
fof(d5_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k4_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) &  ~ (r2_hidden(D, B)) ) ) ) ) ) ) ) ).
fof(d6_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r6_relat_2(A, B) <=>  (! [C] :  (! [D] :  ~ ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  ( ~ (C=D)  &  ( ~ (r2_hidden(k4_tarski(C, D), A))  &  ~ (r2_hidden(k4_tarski(D, C), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] : k2_wellord1(A, B)=k3_xboole_0(A, k2_zfmisc_1(B, B))) ) ) ).
fof(d7_xboole_0, axiom,  (! [A] :  (! [B] :  (r1_xboole_0(A, B) <=> k3_xboole_0(A, B)=k1_xboole_0) ) ) ).
fof(d8_relat_2, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r8_relat_2(A, B) <=>  (! [C] :  (! [D] :  (! [E] :  ( (r2_hidden(C, B) &  (r2_hidden(D, B) &  (r2_hidden(E, B) &  (r2_hidden(k4_tarski(C, D), A) & r2_hidden(k4_tarski(D, E), A)) ) ) )  => r2_hidden(k4_tarski(C, E), A)) ) ) ) ) ) ) ) ).
fof(dt_k10_relat_1, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_relat_1, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_wellord1, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_wellord1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k2_wellord1(A, B))) ) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_tarski, axiom, $true).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k6_subset_1, axiom,  (! [A, B] : m1_subset_1(k6_subset_1(A, B), k1_zfmisc_1(A))) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_o_1_0_wellset1, axiom,  (! [A] : m1_subset_1(o_1_0_wellset1(A), A)) ).
fof(dt_o_1_1_wellset1, axiom,  (! [A] :  (v1_relat_1(A) => m1_subset_1(o_1_1_wellset1(A), k1_relat_1(A))) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc5_relat_1, axiom,  (! [A, B] : v1_relat_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc7_relat_1, axiom,  (! [A, B, C, D] : v1_relat_1(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_1(A)) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
fof(rc1_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(redefinition_k6_subset_1, axiom,  (! [A, B] : k6_subset_1(A, B)=k4_xboole_0(A, B)) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(s1_relat_1__e4_6__wellset1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (! [D] :  (! [E] :  (r2_hidden(k4_tarski(D, E), C) <=>  (r2_hidden(D, k3_tarski(A)) &  (r2_hidden(E, k3_tarski(A)) &  (? [F] :  (v1_relat_1(F) &  (r2_hidden(k4_tarski(D, E), F) & r2_tarski(F, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_wellset1__e2_6__wellset1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (? [C] :  (! [D] :  (v1_relat_1(D) =>  (r2_tarski(D, C) <=>  (r2_tarski(D, k1_zfmisc_1(k2_zfmisc_1(k3_tarski(B), k3_tarski(B)))) &  (v2_wellord1(D) &  (! [E] :  (r2_tarski(E, k1_relat_1(D)) =>  (r2_tarski(k1_wellord1(D, E), B) & k1_funct_1(A, k1_wellord1(D, E))=E) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_xfamily__e4_6_2__wellset1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  =>  (? [C] :  (! [D] :  (r2_tarski(D, C) <=>  (r2_tarski(D, k1_relat_1(A)) &  (r2_tarski(D, k1_relat_1(B)) & k2_wellord1(A, k1_wellord1(A, D))=k2_wellord1(B, k1_wellord1(B, D))) ) ) ) ) ) ) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(t106_zfmisc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(A, B), k2_zfmisc_1(D, k1_tarski(C))) <=>  (r2_hidden(A, D) & B=C) ) ) ) ) ) ).
fof(t15_relat_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(k4_tarski(A, B), C) =>  (r2_hidden(A, k1_relat_1(C)) & r2_hidden(B, k1_relat_1(C))) ) ) ) ) ) ).
fof(t16_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) =>  (r1_tarski(A, B) => r1_tarski(k1_relat_1(A), k1_relat_1(B))) ) ) ) ) ).
fof(t17_relat_1, axiom,  (! [A] :  (! [B] : k1_relat_1(k1_tarski(k4_tarski(A, B)))=k2_tarski(A, B)) ) ).
fof(t17_xboole_1, axiom,  (! [A] :  (! [B] : r1_tarski(k3_xboole_0(A, B), A)) ) ).
fof(t18_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k1_relat_1(k2_xboole_0(A, B))=k2_xboole_0(k1_relat_1(A), k1_relat_1(B))) ) ) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_enumset1, axiom,  (! [A] :  (! [B] : k2_tarski(A, B)=k2_xboole_0(k1_tarski(A), k1_tarski(B))) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t1_wellord1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r2_hidden(B, k1_wellord1(C, A)) <=>  ( ~ (B=A)  & r2_hidden(k4_tarski(B, A), C)) ) ) ) ) ) ).
fof(t1_wellset1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r2_hidden(B, k1_relat_1(A)) <=>  ~ ( (! [C] :  ( ~ (r2_hidden(k4_tarski(B, C), A))  &  ~ (r2_hidden(k4_tarski(C, B), A)) ) ) ) ) ) ) ) ).
fof(t1_xtuple_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (k4_tarski(A, B)=k4_tarski(C, D) =>  (A=C & B=D) ) ) ) ) ) ).
fof(t22_wellord1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (r1_tarski(B, A) => k2_wellord1(k2_wellord1(C, A), B)=k2_wellord1(C, B)) ) ) ) ) ).
fof(t26_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (r1_tarski(A, B) => r1_tarski(k3_xboole_0(A, C), k3_xboole_0(B, C))) ) ) ) ).
fof(t27_wellord1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (v2_wellord1(C) & r2_hidden(B, k1_wellord1(C, A)))  => k1_wellord1(k2_wellord1(C, k1_wellord1(C, A)), B)=k1_wellord1(C, B)) ) ) ) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t2_wellset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  (C=k2_zfmisc_1(A, B) =>  (A=k1_xboole_0 |  (B=k1_xboole_0 | k1_relat_1(C)=k2_xboole_0(A, B)) ) ) ) ) ) ) ).
fof(t30_wellord1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (v2_wellord1(C) &  (r2_hidden(A, k1_relat_1(C)) & r2_hidden(B, k1_relat_1(C))) )  =>  (r1_tarski(k1_wellord1(C, A), k1_wellord1(C, B)) <=>  (A=B | r2_hidden(A, k1_wellord1(C, B))) ) ) ) ) ) ) ).
fof(t32_wellord1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v2_wellord1(B) => k1_relat_1(k2_wellord1(B, k1_wellord1(B, A)))=k1_wellord1(B, A)) ) ) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t3_wellset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ( (r2_tarski(A, k1_relat_1(C)) &  (r2_tarski(B, k1_relat_1(C)) & v2_wellord1(C)) )  =>  (r2_tarski(A, k1_wellord1(C, B)) | r2_hidden(k4_tarski(B, A), C)) ) ) ) ) ) ).
fof(t3_xboole_0, axiom,  (! [A] :  (! [B] :  ( ~ ( ( ~ (r1_xboole_0(A, B))  &  (! [C] :  ~ ( (r2_hidden(C, A) & r2_hidden(C, B)) ) ) ) )  &  ~ ( ( (? [C] :  (r2_hidden(C, A) & r2_hidden(C, B)) )  & r1_xboole_0(A, B)) ) ) ) ) ).
fof(t3_xboole_1, axiom,  (! [A] :  (r1_tarski(A, k1_xboole_0) => A=k1_xboole_0) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t4_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (r2_wellord1(A, k1_relat_1(A)) <=> v2_wellord1(A)) ) ) ).
fof(t4_wellset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) =>  ~ ( (r2_tarski(A, k1_relat_1(C)) &  (r2_tarski(B, k1_relat_1(C)) &  (v2_wellord1(C) &  (r2_tarski(A, k1_wellord1(C, B)) & r2_hidden(k4_tarski(B, A), C)) ) ) ) ) ) ) ) ) ).
fof(t4_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] : k2_xboole_0(k2_xboole_0(A, B), C)=k2_xboole_0(A, k2_xboole_0(B, C))) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_wellord1, axiom,  (! [A] :  (v1_relat_1(A) =>  (v2_wellord1(A) =>  (! [B] :  ~ ( (r1_tarski(B, k1_relat_1(A)) &  ( ~ (B=k1_xboole_0)  &  (! [C] :  ~ ( (r2_hidden(C, B) &  (! [D] :  (r2_hidden(D, B) => r2_hidden(k4_tarski(C, D), A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_xboole_1, axiom,  (! [A] :  (! [B] : r1_tarski(A, k2_xboole_0(A, B))) ) ).
fof(t84_zfmisc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ~ ( (r1_tarski(B, k2_zfmisc_1(C, D)) &  (r2_hidden(A, B) &  (! [E] :  (! [F] :  ~ ( (r2_hidden(E, C) &  (r2_hidden(F, D) & A=k4_tarski(E, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t90_zfmisc_1, axiom,  (! [A] :  (! [B] :  (k2_zfmisc_1(A, B)=k1_xboole_0 <=>  (A=k1_xboole_0 | B=k1_xboole_0) ) ) ) ).
