% Mizar problem: e1_14_2_1,amistd_4,275,70 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_14_type,type,( c1_14__amistd_4: $i )).
thf(c2_14_type,type,( c2_14__amistd_4: $i )).
thf(c3_14_type,type,( c3_14__amistd_4: $i )).
thf(k1_amistd_4_type,type,( k1_amistd_4: $i > $i > $i > $i > $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_extpro_1_type,type,( k2_extpro_1: $i > $i > $i > $i > $i )).
thf(k2_funct_7_type,type,( k2_funct_7: $i > $i > $i > $i )).
thf(k2_memstr_0_type,type,( k2_memstr_0: $i > $i > $i )).
thf(k4_memstr_0_type,type,( k4_memstr_0: $i > $i > $i > $i )).
thf(u1_compos_1_type,type,( u1_compos_1: $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(l1_compos_1_type,type,( l1_compos_1: $i > $o )).
thf(l1_extpro_1_type,type,( l1_extpro_1: $i > $i > $o )).
thf(l1_memstr_0_type,type,( l1_memstr_0: $i > $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l2_struct_0_type,type,( l2_struct_0: $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v1_card_1_type,type,( v1_card_1: $i > $o )).
thf(v1_compos_0_type,type,( v1_compos_0: $i > $o )).
thf(v1_finset_1_type,type,( v1_finset_1: $i > $o )).
thf(v1_funcop_1_type,type,( v1_funcop_1: $i > $o )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_ordinal1_type,type,( v1_ordinal1: $i > $o )).
thf(v1_ordinal6_type,type,( v1_ordinal6: $i > $o )).
thf(v1_partfun1_type,type,( v1_partfun1: $i > $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_setfam_1_type,type,( v1_setfam_1: $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_compos_0_type,type,( v2_compos_0: $i > $o )).
thf(v2_funcop_1_type,type,( v2_funcop_1: $i > $o )).
thf(v2_memstr_0_type,type,( v2_memstr_0: $i > $i > $o )).
thf(v2_ordinal1_type,type,( v2_ordinal1: $i > $o )).
thf(v2_relat_1_type,type,( v2_relat_1: $i > $o )).
thf(v2_setfam_1_type,type,( v2_setfam_1: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $i > $o )).
thf(v3_card_1_type,type,( v3_card_1: $i > $i > $o )).
thf(v3_compos_0_type,type,( v3_compos_0: $i > $o )).
thf(v3_finset_1_type,type,( v3_finset_1: $i > $o )).
thf(v3_memstr_0_type,type,( v3_memstr_0: $i > $i > $o )).
thf(v3_ordinal1_type,type,( v3_ordinal1: $i > $o )).
thf(v4_memstr_0_type,type,( v4_memstr_0: $i > $i > $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v5_compos_0_type,type,( v5_compos_0: $i > $o )).
thf(v5_funct_1_type,type,( v5_funct_1: $i > $i > $o )).
thf(v5_ordinal1_type,type,( v5_ordinal1: $i > $o )).
thf(v6_ordinal1_type,type,( v6_ordinal1: $i > $o )).
thf(v7_ordinal1_type,type,( v7_ordinal1: $i > $o )).
thf(v7_struct_0_type,type,( v7_struct_0: $i > $o )).
thf(v8_struct_0_type,type,( v8_struct_0: $i > $o )).
thf(cc11_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v13_struct_0 @ A @ np__1 ) => ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) ) ) ),file(struct_0,cc11_struct_0)).
thf(cc2_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc2_ordinal1)).
thf(cc2_ordinal6,axiom,( ! [A: $i] : ( ( v1_ordinal6 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_ordinal1 @ B ) ) ) ),file(ordinal6,cc2_ordinal6)).
thf(cc6_card_1,axiom,( ! [A: $i] : ( ( ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) ) => ( v7_ordinal1 @ A ) ) ),file(card_1,cc6_card_1)).
thf(cc9_card_1,axiom,( ! [A: $i] : ( ( v3_card_1 @ A @ np__1 ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) ) ),file(card_1,cc9_card_1)).
thf(fc9_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(card_1,fc9_card_1)).
thf(rc1_ordinal6,axiom,( ? [A: $i] : ( v1_ordinal6 @ A ) ),file(ordinal6,rc1_ordinal6)).
thf(rc2_card_1,axiom,( ? [A: $i] : ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) & ( v1_card_1 @ A ) ) ),file(card_1,rc2_card_1)).
thf(rc2_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_memstr_0 @ B @ A ) & ( v13_struct_0 @ B @ np__1 ) ) ) ),file(memstr_0,rc2_memstr_0)).
thf(rc2_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) ) ),file(ordinal1,rc2_ordinal1)).
thf(rc3_card_1,axiom,( ? [A: $i] : ~ ( v1_finset_1 @ A ) ),file(card_1,rc3_card_1)).
thf(rc3_extpro_1,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ( v13_struct_0 @ B @ np__1 ) & ( v2_memstr_0 @ B @ A ) ) ) ),file(extpro_1,rc3_extpro_1)).
thf(rc4_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_finset_1 @ B ) ) ) ),file(card_1,rc4_card_1)).
thf(rc6_ordinal6,axiom,( ? [A: $i] : ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ~ ( v1_zfmisc_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_ordinal6 @ A ) ) ),file(ordinal6,rc6_ordinal6)).
thf(rc7_card_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v3_card_1 @ B @ np__1 ) ) ) ),file(card_1,rc7_card_1)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
thf(dt_l2_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(struct_0,l2_struct_0)).
thf(cc10_card_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) => ( v3_card_1 @ A @ np__1 ) ) ),file(card_1,cc10_card_1)).
thf(cc10_ordinal1,axiom,( ! [A: $i] : ( ( v6_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v6_ordinal1 @ B ) ) ) ),file(ordinal1,cc10_ordinal1)).
thf(cc10_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) => ( v13_struct_0 @ A @ np__1 ) ) ) ),file(struct_0,cc10_struct_0)).
thf(cc17_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v7_struct_0 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc17_struct_0)).
thf(cc1_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(card_1,cc1_card_1)).
thf(cc1_measure6,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) => ( ( ( v6_ordinal1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_setfam_1 @ B ) ) => ( v3_finset_1 @ B ) ) ) ),file(measure6,cc1_measure6)).
thf(cc1_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) ) ),file(ordinal1,cc1_ordinal1)).
thf(cc1_ordinal6,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( v1_ordinal6 @ A ) ) ),file(ordinal6,cc1_ordinal6)).
thf(cc2_funcop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funcop_1 @ A ) ) ) ),file(funcop_1,cc2_funcop_1)).
thf(cc2_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(setfam_1,cc2_setfam_1)).
thf(cc2_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v7_struct_0 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc2_struct_0)).
thf(cc2_zfmisc_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(zfmisc_1,cc2_zfmisc_1)).
thf(cc3_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc3_card_1)).
thf(cc4_setfam_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ~ ( v2_setfam_1 @ A ) ) ),file(setfam_1,cc4_setfam_1)).
thf(cc5_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc5_card_1)).
thf(cc5_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_ordinal1 @ B ) ) ) ),file(ordinal1,cc5_ordinal1)).
thf(cc5_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc5_struct_0)).
thf(cc6_ordinal1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc6_ordinal1)).
thf(cc6_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v7_struct_0 @ A ) => ( v8_struct_0 @ A ) ) ) ),file(struct_0,cc6_struct_0)).
thf(cc7_card_1,axiom,( ! [A: $i] : ( ( v3_card_1 @ A @ k1_xboole_0 ) => ( v1_xboole_0 @ A ) ) ),file(card_1,cc7_card_1)).
thf(cc7_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ~ ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc7_struct_0)).
thf(cc9_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v13_struct_0 @ A @ k1_xboole_0 ) => ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc9_struct_0)).
thf(fc19_struct_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_card_1 @ A ) & ( v13_struct_0 @ B @ A ) & ( l1_struct_0 @ B ) ) => ( v3_card_1 @ ( u1_struct_0 @ B ) @ A ) ) ),file(struct_0,fc19_struct_0)).
thf(fc6_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc6_struct_0)).
thf(fc7_struct_0,axiom,( ! [A: $i] : ( ( ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc7_struct_0)).
thf(fc8_struct_0,axiom,( ! [A: $i] : ( ( ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc8_struct_0)).
thf(fc9_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc9_struct_0)).
thf(rc1_card_1,axiom,( ? [A: $i] : ( v1_card_1 @ A ) ),file(card_1,rc1_card_1)).
thf(rc1_funcop_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ),file(funcop_1,rc1_funcop_1)).
thf(rc1_ordinal1,axiom,( ? [A: $i] : ( v3_ordinal1 @ A ) ),file(ordinal1,rc1_ordinal1)).
thf(rc1_zfmisc_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) ),file(zfmisc_1,rc1_zfmisc_1)).
thf(rc20_struct_0,axiom,( ? [A: $i] : ( ( l2_struct_0 @ A ) & ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) ),file(struct_0,rc20_struct_0)).
thf(rc21_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_zfmisc_1 @ B ) ) ) ),file(struct_0,rc21_struct_0)).
thf(rc22_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_zfmisc_1 @ B ) ) ) ),file(struct_0,rc22_struct_0)).
thf(rc23_struct_0,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( ( l1_struct_0 @ B ) & ( v13_struct_0 @ B @ A ) ) ) ),file(struct_0,rc23_struct_0)).
thf(rc2_setfam_1,axiom,( ? [A: $i] : ~ ( v2_setfam_1 @ A ) ),file(setfam_1,rc2_setfam_1)).
thf(rc2_zfmisc_1,axiom,( ? [A: $i] : ~ ( v1_zfmisc_1 @ A ) ),file(zfmisc_1,rc2_zfmisc_1)).
thf(rc3_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ A ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(setfam_1,rc3_setfam_1)).
thf(rc4_funcop_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(funcop_1,rc4_funcop_1)).
thf(rc4_ordinal1,axiom,( ? [A: $i] : ( v7_ordinal1 @ A ) ),file(ordinal1,rc4_ordinal1)).
thf(rc5_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( v3_card_1 @ B @ A ) ) ),file(card_1,rc5_card_1)).
thf(rc5_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) ),file(ordinal1,rc5_ordinal1)).
thf(rc6_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v3_card_1 @ B @ A ) ) ) ),file(card_1,rc6_card_1)).
thf(rc6_compos_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_compos_0 @ A ) & ( v2_compos_0 @ A ) & ( v3_compos_0 @ A ) & ( v5_compos_0 @ A ) ) ),file(compos_0,rc6_compos_0)).
thf(dt_k2_funct_7,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ ( k2_funct_7 @ A @ B @ C ) ) & ( v1_funct_1 @ ( k2_funct_7 @ A @ B @ C ) ) ) ) ),file(funct_7,k2_funct_7)).
thf(dt_l1_compos_1,axiom,( $true ),file(compos_1,l1_compos_1)).
thf(dt_l1_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_memstr_0 @ B @ A ) => ( l2_struct_0 @ B ) ) ),file(memstr_0,l1_memstr_0)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(cc1_compos_0,axiom,( ! [A: $i] : ( ( v1_compos_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(compos_0,cc1_compos_0)).
thf(cc1_funct_7,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ) ),file(funct_7,cc1_funct_7)).
thf(cc1_setfam_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ),file(setfam_1,cc1_setfam_1)).
thf(cc1_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc1_struct_0)).
thf(cc1_zfmisc_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_zfmisc_1 @ A ) ) ),file(zfmisc_1,cc1_zfmisc_1)).
thf(cc2_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc2_card_1)).
thf(cc2_compos_0,axiom,( ! [A: $i] : ( ( v5_compos_0 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(compos_0,cc2_compos_0)).
thf(cc2_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( l1_memstr_0 @ B @ A ) ) => ! [C: $i] : ( ( ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) ) => ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) & ( v4_memstr_0 @ C @ A @ B ) ) ) ) ),file(memstr_0,cc2_memstr_0)).
thf(cc3_funcop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ) ),file(funcop_1,cc3_funcop_1)).
thf(cc3_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc3_ordinal1)).
thf(cc3_setfam_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) => ~ ( v2_setfam_1 @ A ) ) ),file(setfam_1,cc3_setfam_1)).
thf(cc4_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
thf(cc4_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( ( v2_struct_0 @ A ) & ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc4_struct_0)).
thf(cc7_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v7_ordinal1 @ A ) ) ),file(ordinal1,cc7_ordinal1)).
thf(cc8_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_card_1 @ A @ k1_xboole_0 ) ) ),file(card_1,cc8_card_1)).
thf(cc8_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( v13_struct_0 @ A @ k1_xboole_0 ) ) ) ),file(struct_0,cc8_struct_0)).
thf(cc9_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v6_ordinal1 @ A ) ) ),file(ordinal1,cc9_ordinal1)).
thf(fc1_struct_0,axiom,( ! [A: $i] : ( ( ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc1_struct_0)).
thf(fc2_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc2_struct_0)).
thf(fc3_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( v2_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) ) => ( ( v1_relat_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v2_relat_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v4_relat_1 @ ( k2_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ ( k2_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) ) ) ) ),file(memstr_0,fc3_memstr_0)).
thf(fc5_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) ) => ~ ( v1_xboole_0 @ ( k4_memstr_0 @ A @ B @ C ) ) ) ),file(memstr_0,fc5_memstr_0)).
thf(rc10_extpro_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_setfam_1 @ A ) ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v3_memstr_0 @ B @ A ) ) ) ),file(extpro_1,rc10_extpro_1)).
thf(rc1_compos_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_compos_0 @ A ) ) ),file(compos_0,rc1_compos_0)).
thf(rc1_setfam_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) ),file(setfam_1,rc1_setfam_1)).
thf(rc2_compos_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_compos_0 @ A ) & ( v2_compos_0 @ A ) & ( v3_compos_0 @ A ) ) ),file(compos_0,rc2_compos_0)).
thf(rc2_measure6,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) ),file(measure6,rc2_measure6)).
thf(rc3_compos_0,axiom,( ? [A: $i] : ( ( v1_compos_0 @ A ) & ( v5_compos_0 @ A ) ) ),file(compos_0,rc3_compos_0)).
thf(rc3_measure6,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_setfam_1 @ A ) ) ),file(measure6,rc3_measure6)).
thf(rc3_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_memstr_0 @ B @ A ) & ( v2_memstr_0 @ B @ A ) ) ) ),file(memstr_0,rc3_memstr_0)).
thf(rc4_compos_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_compos_0 @ A ) & ( v2_compos_0 @ A ) & ( v3_compos_0 @ A ) & ( v5_compos_0 @ A ) ) ),file(compos_0,rc4_compos_0)).
thf(rc4_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(struct_0,rc4_struct_0)).
thf(rc5_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( l1_memstr_0 @ B @ A ) ) => ? [C: $i] : ( ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) ) ) ),file(memstr_0,rc5_memstr_0)).
thf(rc7_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( l1_memstr_0 @ B @ A ) ) => ? [C: $i] : ( ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) ) ) ),file(memstr_0,rc7_memstr_0)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(redefinition_k1_amistd_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( l1_extpro_1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ C @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ E @ ( k4_memstr_0 @ A @ B @ D ) ) ) => ( = @ ( k1_amistd_4 @ A @ B @ C @ D @ E ) @ ( k2_funct_7 @ C @ D @ E ) ) ) ),file(amistd_4,k1_amistd_4)).
thf(dt_k1_amistd_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) & ( v3_memstr_0 @ B @ A ) & ( l1_extpro_1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v5_funct_1 @ C @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ C @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ E @ ( k4_memstr_0 @ A @ B @ D ) ) ) => ( ( v1_relat_1 @ ( k1_amistd_4 @ A @ B @ C @ D @ E ) ) & ( v4_relat_1 @ ( k1_amistd_4 @ A @ B @ C @ D @ E ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k1_amistd_4 @ A @ B @ C @ D @ E ) ) & ( v5_funct_1 @ ( k1_amistd_4 @ A @ B @ C @ D @ E ) @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ ( k1_amistd_4 @ A @ B @ C @ D @ E ) @ ( u1_struct_0 @ B ) ) ) ) ),file(amistd_4,k1_amistd_4)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_extpro_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( v2_memstr_0 @ B @ A ) & ( l1_extpro_1 @ B @ A ) & ( m1_subset_1 @ C @ ( u1_compos_1 @ B ) ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ D ) & ( v5_funct_1 @ D @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ D @ ( u1_struct_0 @ B ) ) ) => ( ( v1_relat_1 @ ( k2_extpro_1 @ A @ B @ C @ D ) ) & ( v4_relat_1 @ ( k2_extpro_1 @ A @ B @ C @ D ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k2_extpro_1 @ A @ B @ C @ D ) ) & ( v5_funct_1 @ ( k2_extpro_1 @ A @ B @ C @ D ) @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ ( k2_extpro_1 @ A @ B @ C @ D ) @ ( u1_struct_0 @ B ) ) ) ) ),file(extpro_1,k2_extpro_1)).
thf(dt_k2_memstr_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_setfam_1 @ A ) & ( l1_memstr_0 @ B @ A ) ) => ( ( v1_relat_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v4_relat_1 @ ( k2_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ ( k2_memstr_0 @ A @ B ) ) & ( v1_partfun1 @ ( k2_memstr_0 @ A @ B ) @ ( u1_struct_0 @ B ) ) ) ) ),file(memstr_0,k2_memstr_0)).
thf(dt_k4_memstr_0,axiom,( $true ),file(memstr_0,k4_memstr_0)).
thf(dt_l1_extpro_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_extpro_1 @ B @ A ) => ( ( l1_memstr_0 @ B @ A ) & ( l1_compos_1 @ B ) ) ) ),file(extpro_1,l1_extpro_1)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_u1_compos_1,axiom,( ! [A: $i] : ( ( l1_compos_1 @ A ) => ( ( v1_compos_0 @ ( u1_compos_1 @ A ) ) & ( v2_compos_0 @ ( u1_compos_1 @ A ) ) & ( v3_compos_0 @ ( u1_compos_1 @ A ) ) & ( v5_compos_0 @ ( u1_compos_1 @ A ) ) ) ) ),file(compos_1,u1_compos_1)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_c1_14__amistd_4,axiom,( ~ ( v1_setfam_1 @ c1_14__amistd_4 ) ),file(amistd_4,c1_14__amistd_4)).
thf(dt_c2_14__amistd_4,axiom,( ~ ( v2_struct_0 @ c2_14__amistd_4 ) & ( v2_memstr_0 @ c2_14__amistd_4 @ c1_14__amistd_4 ) & ( v3_memstr_0 @ c2_14__amistd_4 @ c1_14__amistd_4 ) & ( l1_extpro_1 @ c2_14__amistd_4 @ c1_14__amistd_4 ) ),file(amistd_4,c2_14__amistd_4)).
thf(dt_c3_14__amistd_4,axiom,( m1_subset_1 @ c3_14__amistd_4 @ ( u1_compos_1 @ c2_14__amistd_4 ) ),file(amistd_4,c3_14__amistd_4)).
thf(cc1_memstr_0,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(memstr_0,cc1_memstr_0)).
thf(rc1_amistd_1,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_memstr_0 @ B @ A ) ) ) ),file(amistd_1,rc1_amistd_1)).
thf(rc2_extpro_1,axiom,( ! [A: $i] : ( ~ ( v1_setfam_1 @ A ) => ? [B: $i] : ( ( l1_extpro_1 @ B @ A ) & ~ ( v2_struct_0 @ B ) ) ) ),file(extpro_1,rc2_extpro_1)).
thf(s1_subset_1,axiom,( ! [A: $i > $o] : ! [B: $i] : ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) & ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( ( r2_hidden @ D @ B ) & ( A @ D ) ) ) ) ),file(subset_1,s1_subset_1)).
thf(e1_14_2_1__amistd_4,conjecture,( ? [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( u1_struct_0 @ c2_14__amistd_4 ) ) ) & ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( u1_struct_0 @ c2_14__amistd_4 ) ) & ? [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ c2_14__amistd_4 ) ) & ( = @ C @ B ) & ~ ( ! [D: $i] : ( ( ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ ( u1_struct_0 @ c2_14__amistd_4 ) ) & ( v1_funct_1 @ D ) & ( v5_funct_1 @ D @ ( k2_memstr_0 @ c1_14__amistd_4 @ c2_14__amistd_4 ) ) & ( v1_partfun1 @ D @ ( u1_struct_0 @ c2_14__amistd_4 ) ) ) => ! [E: $i] : ( ( m1_subset_1 @ E @ ( k4_memstr_0 @ c1_14__amistd_4 @ c2_14__amistd_4 @ C ) ) => ( = @ ( k2_extpro_1 @ c1_14__amistd_4 @ c2_14__amistd_4 @ c3_14__amistd_4 @ ( k1_amistd_4 @ c1_14__amistd_4 @ c2_14__amistd_4 @ D @ C @ E ) ) @ ( k1_amistd_4 @ c1_14__amistd_4 @ c2_14__amistd_4 @ ( k2_extpro_1 @ c1_14__amistd_4 @ c2_14__amistd_4 @ c3_14__amistd_4 @ D ) @ C @ E ) ) ) ) ) ) ) ) ) ),file(amistd_4,e1_14_2_1__amistd_4)).
