% Mizar problem: e3_74_1_1,ec_pf_2,4928,29 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(n2_type,type,( np__2: $i )).
thf(n3_type,type,( np__3: $i )).
thf(n4_type,type,( np__4: $i )).
thf(n5_type,type,( np__5: $i )).
thf(n8_type,type,( np__8: $i )).
thf(c1_74_type,type,( c1_74__ec_pf_2: $i )).
thf(c2_74_type,type,( c2_74__ec_pf_2: $i )).
thf(g6_algstr_0_type,type,( g6_algstr_0: $i > $i > $i > $i > $i > $i )).
thf(k1_algstr_0_type,type,( k1_algstr_0: $i > $i > $i > $i )).
thf(k1_binop_1_type,type,( k1_binop_1: $i > $i > $i > $i )).
thf(k1_ec_pf_2_type,type,( k1_ec_pf_2: $i > $i )).
thf(k1_numbers_type,type,( k1_numbers: $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_xtuple_0_type,type,( k1_xtuple_0: $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_binom_type,type,( k2_binom: $i > $i > $i > $i )).
thf(k2_binop_1_type,type,( k2_binop_1: $i > $i > $i > $i > $i > $i > $i )).
thf(k2_ec_pf_2_type,type,( k2_ec_pf_2: $i > $i > $i )).
thf(k2_xtuple_0_type,type,( k2_xtuple_0: $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_ec_pf_1_type,type,( k3_ec_pf_1: $i > $i )).
thf(k3_ec_pf_2_type,type,( k3_ec_pf_2: $i > $i > $i )).
thf(k3_rlvect_1_type,type,( k3_rlvect_1: $i > $i > $i > $i )).
thf(k3_xtuple_0_type,type,( k3_xtuple_0: $i > $i > $i > $i )).
thf(k3_zfmisc_1_type,type,( k3_zfmisc_1: $i > $i > $i > $i )).
thf(k4_domain_1_type,type,( k4_domain_1: $i > $i > $i > $i > $i > $i > $i )).
thf(k4_ec_pf_2_type,type,( k4_ec_pf_2: $i > $i > $i > $i > $i )).
thf(k4_ordinal1_type,type,( k4_ordinal1: $i )).
thf(k5_algstr_0_type,type,( k5_algstr_0: $i > $i > $i > $i )).
thf(k5_binop_1_type,type,( k5_binop_1: $i > $i > $i > $i > $i )).
thf(k5_ec_pf_2_type,type,( k5_ec_pf_2: $i > $i > $i > $i > $i )).
thf(k5_numbers_type,type,( k5_numbers: $i )).
thf(k6_algstr_0_type,type,( k6_algstr_0: $i > $i > $i > $i )).
thf(k6_ec_pf_1_type,type,( k6_ec_pf_1: $i > $i > $i > $i )).
thf(k6_ec_pf_2_type,type,( k6_ec_pf_2: $i > $i > $i > $i > $i )).
thf(k6_int_1_type,type,( k6_int_1: $i > $i > $i )).
thf(k6_numbers_type,type,( k6_numbers: $i )).
thf(k8_group_1_type,type,( k8_group_1: $i > $i > $i > $i )).
thf(k8_mcart_1_type,type,( k8_mcart_1: $i > $i > $i > $i > $i )).
thf(k9_int_3_type,type,( k9_int_3: $i > $i )).
thf(u1_algstr_0_type,type,( u1_algstr_0: $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(u2_algstr_0_type,type,( u2_algstr_0: $i > $i )).
thf(u2_struct_0_type,type,( u2_struct_0: $i > $i )).
thf(u3_struct_0_type,type,( u3_struct_0: $i > $i )).
thf(l1_algstr_0_type,type,( l1_algstr_0: $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l2_algstr_0_type,type,( l2_algstr_0: $i > $o )).
thf(l2_struct_0_type,type,( l2_struct_0: $i > $o )).
thf(l3_algstr_0_type,type,( l3_algstr_0: $i > $o )).
thf(l3_struct_0_type,type,( l3_struct_0: $i > $o )).
thf(l4_algstr_0_type,type,( l4_algstr_0: $i > $o )).
thf(l4_struct_0_type,type,( l4_struct_0: $i > $o )).
thf(l5_algstr_0_type,type,( l5_algstr_0: $i > $o )).
thf(l6_algstr_0_type,type,( l6_algstr_0: $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m2_subset_1_type,type,( m2_subset_1: $i > $i > $i > $o )).
thf(r1_ec_pf_1_type,type,( r1_ec_pf_1: $i > $i > $i > $o )).
thf(v13_algstr_0_type,type,( v13_algstr_0: $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v1_ec_pf_2_type,type,( v1_ec_pf_2: $i > $i > $o )).
thf(v1_finset_1_type,type,( v1_finset_1: $i > $o )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_funct_2_type,type,( v1_funct_2: $i > $i > $i > $o )).
thf(v1_group_1_type,type,( v1_group_1: $i > $o )).
thf(v1_int_1_type,type,( v1_int_1: $i > $o )).
thf(v1_int_2_type,type,( v1_int_2: $i > $o )).
thf(v1_int_3_type,type,( v1_int_3: $i > $o )).
thf(v1_ordinal1_type,type,( v1_ordinal1: $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_subset_1_type,type,( v1_subset_1: $i > $i > $o )).
thf(v1_vectsp_1_type,type,( v1_vectsp_1: $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_xcmplx_0_type,type,( v1_xcmplx_0: $i > $o )).
thf(v1_xreal_0_type,type,( v1_xreal_0: $i > $o )).
thf(v1_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(v1_xxreal_0_type,type,( v1_xxreal_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_ordinal1_type,type,( v2_ordinal1: $i > $o )).
thf(v2_relat_1_type,type,( v2_relat_1: $i > $o )).
thf(v2_rlvect_1_type,type,( v2_rlvect_1: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $i > $o )).
thf(v2_vectsp_1_type,type,( v2_vectsp_1: $i > $o )).
thf(v2_xtuple_0_type,type,( v2_xtuple_0: $i > $o )).
thf(v2_xxreal_0_type,type,( v2_xxreal_0: $i > $o )).
thf(v33_algstr_0_type,type,( v33_algstr_0: $i > $o )).
thf(v36_algstr_0_type,type,( v36_algstr_0: $i > $o )).
thf(v3_group_1_type,type,( v3_group_1: $i > $o )).
thf(v3_ordinal1_type,type,( v3_ordinal1: $i > $o )).
thf(v3_relat_1_type,type,( v3_relat_1: $i > $o )).
thf(v3_rlvect_1_type,type,( v3_rlvect_1: $i > $o )).
thf(v3_vectsp_1_type,type,( v3_vectsp_1: $i > $o )).
thf(v4_rlvect_1_type,type,( v4_rlvect_1: $i > $o )).
thf(v4_vectsp_1_type,type,( v4_vectsp_1: $i > $o )).
thf(v5_group_1_type,type,( v5_group_1: $i > $o )).
thf(v5_ordinal1_type,type,( v5_ordinal1: $i > $o )).
thf(v5_vectsp_1_type,type,( v5_vectsp_1: $i > $o )).
thf(v6_ordinal1_type,type,( v6_ordinal1: $i > $o )).
thf(v6_struct_0_type,type,( v6_struct_0: $i > $o )).
thf(v6_vectsp_1_type,type,( v6_vectsp_1: $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(dt_l3_struct_0,axiom,( ! [A: $i] : ( ( l3_struct_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(struct_0,l3_struct_0)).
thf(cc4_vectsp_1,axiom,( ! [A: $i] : ( ( l4_algstr_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_vectsp_1 @ A ) & ( v6_vectsp_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_group_1 @ A ) ) ) ) ),file(vectsp_1,cc4_vectsp_1)).
thf(cc6_vectsp_1,axiom,( ! [A: $i] : ( ( l4_algstr_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v5_group_1 @ A ) & ( v6_vectsp_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_vectsp_1 @ A ) ) ) ) ),file(vectsp_1,cc6_vectsp_1)).
thf(rc3_int_3,axiom,( ? [A: $i] : ( ( l6_algstr_0 @ A ) & ~ ( v2_struct_0 @ A ) & ( v6_struct_0 @ A ) & ( v13_algstr_0 @ A ) & ( v33_algstr_0 @ A ) & ( v36_algstr_0 @ A ) & ( v1_group_1 @ A ) & ( v3_group_1 @ A ) & ( v5_group_1 @ A ) & ( v2_rlvect_1 @ A ) & ( v3_rlvect_1 @ A ) & ( v4_rlvect_1 @ A ) & ( v1_vectsp_1 @ A ) & ( v2_vectsp_1 @ A ) & ( v3_vectsp_1 @ A ) & ( v4_vectsp_1 @ A ) & ( v5_vectsp_1 @ A ) & ( v6_vectsp_1 @ A ) ) ),file(int_3,rc3_int_3)).
thf(rc4_int_3,axiom,( ? [A: $i] : ( ( l6_algstr_0 @ A ) & ~ ( v2_struct_0 @ A ) & ~ ( v8_struct_0 @ A ) & ( v13_algstr_0 @ A ) & ( v36_algstr_0 @ A ) & ( v1_group_1 @ A ) & ( v3_group_1 @ A ) & ( v2_rlvect_1 @ A ) & ( v3_rlvect_1 @ A ) & ( v4_rlvect_1 @ A ) & ( v1_vectsp_1 @ A ) & ( v2_vectsp_1 @ A ) & ( v3_vectsp_1 @ A ) & ( v4_vectsp_1 @ A ) & ( v5_vectsp_1 @ A ) & ( v6_vectsp_1 @ A ) ) ),file(int_3,rc4_int_3)).
thf(rc5_vectsp_1,axiom,( ? [A: $i] : ( ( l6_algstr_0 @ A ) & ~ ( v2_struct_0 @ A ) & ~ ( v6_struct_0 @ A ) & ( v13_algstr_0 @ A ) & ( v33_algstr_0 @ A ) & ( v36_algstr_0 @ A ) & ( v2_rlvect_1 @ A ) & ( v3_rlvect_1 @ A ) & ( v4_rlvect_1 @ A ) & ( v3_group_1 @ A ) & ( v5_group_1 @ A ) & ( v3_vectsp_1 @ A ) & ( v4_vectsp_1 @ A ) & ( v5_vectsp_1 @ A ) & ( v6_vectsp_1 @ A ) ) ),file(vectsp_1,rc5_vectsp_1)).
thf(free_g6_algstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) @ A ) ) ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) @ A ) ) ) & ( m1_subset_1 @ D @ A ) & ( m1_subset_1 @ E @ A ) ) => ! [F: $i] : ! [G: $i] : ! [H: $i] : ! [I: $i] : ! [J: $i] : ( ( = @ ( g6_algstr_0 @ A @ B @ C @ D @ E ) @ ( g6_algstr_0 @ F @ G @ H @ I @ J ) ) => ( ( = @ A @ F ) & ( = @ B @ G ) & ( = @ C @ H ) & ( = @ D @ I ) & ( = @ E @ J ) ) ) ) ),file(algstr_0,g6_algstr_0)).
thf(dt_g6_algstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) @ A ) ) ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( k2_zfmisc_1 @ A @ A ) @ A ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) @ A ) ) ) & ( m1_subset_1 @ D @ A ) & ( m1_subset_1 @ E @ A ) ) => ( ( v36_algstr_0 @ ( g6_algstr_0 @ A @ B @ C @ D @ E ) ) & ( l6_algstr_0 @ ( g6_algstr_0 @ A @ B @ C @ D @ E ) ) ) ) ),file(algstr_0,g6_algstr_0)).
thf(dt_l4_algstr_0,axiom,( ! [A: $i] : ( ( l4_algstr_0 @ A ) => ( ( l3_struct_0 @ A ) & ( l3_algstr_0 @ A ) ) ) ),file(algstr_0,l4_algstr_0)).
thf(dt_l4_struct_0,axiom,( ! [A: $i] : ( ( l4_struct_0 @ A ) => ( ( l2_struct_0 @ A ) & ( l3_struct_0 @ A ) ) ) ),file(struct_0,l4_struct_0)).
thf(dt_u1_algstr_0,axiom,( ! [A: $i] : ( ( l1_algstr_0 @ A ) => ( ( v1_funct_1 @ ( u1_algstr_0 @ A ) ) & ( v1_funct_2 @ ( u1_algstr_0 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ ( u1_algstr_0 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(algstr_0,u1_algstr_0)).
thf(dt_u2_algstr_0,axiom,( ! [A: $i] : ( ( l3_algstr_0 @ A ) => ( ( v1_funct_1 @ ( u2_algstr_0 @ A ) ) & ( v1_funct_2 @ ( u2_algstr_0 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ ( u2_algstr_0 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(algstr_0,u2_algstr_0)).
thf(dt_u2_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( m1_subset_1 @ ( u2_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,u2_struct_0)).
thf(dt_u3_struct_0,axiom,( ! [A: $i] : ( ( l3_struct_0 @ A ) => ( m1_subset_1 @ ( u3_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,u3_struct_0)).
thf(cc3_struct_0,axiom,( ! [A: $i] : ( ( l4_struct_0 @ A ) => ( ~ ( v6_struct_0 @ A ) => ~ ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc3_struct_0)).
thf(cc3_vectsp_1,axiom,( ! [A: $i] : ( ( l4_algstr_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v4_vectsp_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_vectsp_1 @ A ) & ( v6_vectsp_1 @ A ) ) ) ) ),file(vectsp_1,cc3_vectsp_1)).
thf(cc5_subset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,cc5_subset_1)).
thf(cc5_vectsp_1,axiom,( ! [A: $i] : ( ( l4_algstr_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v4_vectsp_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_group_1 @ A ) ) ) ) ),file(vectsp_1,cc5_vectsp_1)).
thf(rc11_vectsp_1,axiom,( ? [A: $i] : ( ( l4_algstr_0 @ A ) & ~ ( v2_struct_0 @ A ) & ( v4_vectsp_1 @ A ) ) ),file(vectsp_1,rc11_vectsp_1)).
thf(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_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(rc4_vectsp_1,axiom,( ? [A: $i] : ( ( l4_algstr_0 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_group_1 @ A ) & ( v3_group_1 @ A ) & ( v5_group_1 @ A ) ) ),file(vectsp_1,rc4_vectsp_1)).
thf(rc5_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,rc5_subset_1)).
thf(rc6_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,rc6_subset_1)).
thf(abstractness_v36_algstr_0,axiom,( ! [A: $i] : ( ( l6_algstr_0 @ A ) => ( ( v36_algstr_0 @ A ) => ( = @ A @ ( g6_algstr_0 @ ( u1_struct_0 @ A ) @ ( u1_algstr_0 @ A ) @ ( u2_algstr_0 @ A ) @ ( u3_struct_0 @ A ) @ ( u2_struct_0 @ A ) ) ) ) ) ),file(algstr_0,v36_algstr_0)).
thf(dt_l2_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(struct_0,l2_struct_0)).
thf(dt_l5_algstr_0,axiom,( ! [A: $i] : ( ( l5_algstr_0 @ A ) => ( ( l4_algstr_0 @ A ) & ( l4_struct_0 @ A ) ) ) ),file(algstr_0,l5_algstr_0)).
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(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(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_xtuple_0,axiom,( ! [A: $i] : ( ( v2_xtuple_0 @ A ) => ( v1_xtuple_0 @ A ) ) ),file(xtuple_0,cc1_xtuple_0)).
thf(cc2_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc2_ordinal1)).
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_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ~ ( v1_subset_1 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ) ),file(subset_1,cc2_subset_1)).
thf(cc2_vectsp_1,axiom,( ! [A: $i] : ( ( l6_algstr_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v1_vectsp_1 @ A ) & ( v2_vectsp_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v5_vectsp_1 @ A ) ) ) ) ),file(vectsp_1,cc2_vectsp_1)).
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_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_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(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_ec_pf_2,axiom,( ? [A: $i] : ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ( v7_ordinal1 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_int_1 @ A ) & ( v1_int_2 @ A ) & ( v1_xxreal_0 @ A ) & ( v1_ec_pf_2 @ A @ np__5 ) ) ),file(ec_pf_2,rc1_ec_pf_2)).
thf(rc1_int_1,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) & ( v1_xxreal_0 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_int_1 @ A ) ) ),file(int_1,rc1_int_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(rc2_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) ) ),file(ordinal1,rc2_ordinal1)).
thf(rc2_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_1)).
thf(rc2_vectsp_1,axiom,( ? [A: $i] : ( ( l5_algstr_0 @ A ) & ~ ( v2_struct_0 @ A ) & ( v4_vectsp_1 @ A ) ) ),file(vectsp_1,rc2_vectsp_1)).
thf(rc2_xreal_0,axiom,( ? [A: $i] : ( ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) ) ),file(xreal_0,rc2_xreal_0)).
thf(rc2_xtuple_0,axiom,( ? [A: $i] : ( v2_xtuple_0 @ A ) ),file(xtuple_0,rc2_xtuple_0)).
thf(rc3_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_subset_1 @ B @ A ) ) ),file(subset_1,rc3_subset_1)).
thf(rc4_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,rc4_subset_1)).
thf(rc4_xreal_0,axiom,( ? [A: $i] : ( ( v1_xboole_0 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) ) ),file(xreal_0,rc4_xreal_0)).
thf(dt_k1_algstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l1_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k1_algstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ),file(algstr_0,k1_algstr_0)).
thf(dt_k1_binop_1,axiom,( $true ),file(binop_1,k1_binop_1)).
thf(dt_k1_numbers,axiom,( $true ),file(numbers,k1_numbers)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
thf(dt_k1_xtuple_0,axiom,( $true ),file(xtuple_0,k1_xtuple_0)).
thf(dt_k2_xtuple_0,axiom,( $true ),file(xtuple_0,k2_xtuple_0)).
thf(dt_k3_xtuple_0,axiom,( $true ),file(xtuple_0,k3_xtuple_0)).
thf(dt_k3_zfmisc_1,axiom,( $true ),file(zfmisc_1,k3_zfmisc_1)).
thf(dt_k4_ordinal1,axiom,( $true ),file(ordinal1,k4_ordinal1)).
thf(dt_k6_algstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l3_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k6_algstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ),file(algstr_0,k6_algstr_0)).
thf(dt_l1_algstr_0,axiom,( ! [A: $i] : ( ( l1_algstr_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(algstr_0,l1_algstr_0)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(dt_l2_algstr_0,axiom,( ! [A: $i] : ( ( l2_algstr_0 @ A ) => ( ( l2_struct_0 @ A ) & ( l1_algstr_0 @ A ) ) ) ),file(algstr_0,l2_algstr_0)).
thf(dt_l3_algstr_0,axiom,( ! [A: $i] : ( ( l3_algstr_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(algstr_0,l3_algstr_0)).
thf(dt_l6_algstr_0,axiom,( ! [A: $i] : ( ( l6_algstr_0 @ A ) => ( ( l2_algstr_0 @ A ) & ( l5_algstr_0 @ A ) ) ) ),file(algstr_0,l6_algstr_0)).
thf(cc1_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) ) ),file(ordinal1,cc1_ordinal1)).
thf(cc1_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(relat_1,cc1_relat_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_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_xboole_0 @ B ) ) ) ),file(subset_1,cc1_subset_1)).
thf(cc1_vectsp_1,axiom,( ! [A: $i] : ( ( l6_algstr_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v5_vectsp_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_vectsp_1 @ A ) & ( v2_vectsp_1 @ A ) ) ) ) ),file(vectsp_1,cc1_vectsp_1)).
thf(cc1_xreal_0,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) => ( v1_xreal_0 @ A ) ) ),file(xreal_0,cc1_xreal_0)).
thf(cc2_int_3,axiom,( ! [A: $i] : ( ( l6_algstr_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v33_algstr_0 @ A ) & ( v3_group_1 @ A ) & ( v5_group_1 @ A ) & ( v4_rlvect_1 @ A ) & ( v4_vectsp_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_int_3 @ A ) ) ) ) ),file(int_3,cc2_int_3)).
thf(cc2_relat_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_relat_1 @ B ) ) ) ),file(relat_1,cc2_relat_1)).
thf(cc3_int_1,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(int_1,cc3_int_1)).
thf(cc3_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc3_ordinal1)).
thf(cc3_relat_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v3_relat_1 @ A ) ) ) ),file(relat_1,cc3_relat_1)).
thf(cc3_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ( v1_xboole_0 @ B ) => ( v1_subset_1 @ B @ A ) ) ) ) ),file(subset_1,cc3_subset_1)).
thf(cc3_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xcmplx_0 @ A ) ) ),file(xreal_0,cc3_xreal_0)).
thf(cc4_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
thf(cc4_relat_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ) ),file(relat_1,cc4_relat_1)).
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(cc4_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ~ ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,cc4_subset_1)).
thf(cc4_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xxreal_0 @ A ) ) ),file(xreal_0,cc4_xreal_0)).
thf(cc5_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_ordinal1 @ B ) ) ) ),file(ordinal1,cc5_ordinal1)).
thf(cc7_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v7_ordinal1 @ A ) ) ),file(ordinal1,cc7_ordinal1)).
thf(cc8_ordinal1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k4_ordinal1 ) => ( v7_ordinal1 @ A ) ) ),file(ordinal1,cc8_ordinal1)).
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(fc10_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(subset_1,fc10_subset_1)).
thf(fc11_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ~ ( v1_xboole_0 @ C ) ) => ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) ),file(subset_1,fc11_subset_1)).
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(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_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(fc2_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( v2_xtuple_0 @ ( k3_xtuple_0 @ A @ B @ C ) ) ),file(xtuple_0,fc2_xtuple_0)).
thf(fc6_int_3,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) => ( ~ ( v2_struct_0 @ ( k9_int_3 @ A ) ) & ( v36_algstr_0 @ ( k9_int_3 @ A ) ) ) ) ),file(int_3,fc6_int_3)).
thf(fc6_ordinal1,axiom,( ~ ( v1_xboole_0 @ k4_ordinal1 ) & ( v3_ordinal1 @ k4_ordinal1 ) ),file(ordinal1,fc6_ordinal1)).
thf(rc1_ordinal1,axiom,( ? [A: $i] : ( v3_ordinal1 @ A ) ),file(ordinal1,rc1_ordinal1)).
thf(rc1_relat_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) ),file(relat_1,rc1_relat_1)).
thf(rc1_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(subset_1,rc1_subset_1)).
thf(rc1_xboole_0,axiom,( ? [A: $i] : ( v1_xboole_0 @ A ) ),file(xboole_0,rc1_xboole_0)).
thf(rc1_xreal_0,axiom,( ? [A: $i] : ( v1_xreal_0 @ A ) ),file(xreal_0,rc1_xreal_0)).
thf(rc2_int_1,axiom,( ? [A: $i] : ( v1_int_1 @ A ) ),file(int_1,rc2_int_1)).
thf(rc2_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_xboole_0 @ B ) ) ),file(subset_1,rc2_subset_1)).
thf(rc2_xboole_0,axiom,( ? [A: $i] : ~ ( v1_xboole_0 @ A ) ),file(xboole_0,rc2_xboole_0)).
thf(rc3_vectsp_1,axiom,( ? [A: $i] : ( ( l3_algstr_0 @ A ) & ~ ( v2_struct_0 @ A ) & ( v3_group_1 @ A ) & ( v5_group_1 @ A ) ) ),file(vectsp_1,rc3_vectsp_1)).
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_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) ),file(ordinal1,rc5_ordinal1)).
thf(rd6_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( = @ ( k2_xtuple_0 @ ( k3_xtuple_0 @ A @ B @ C ) ) @ C ) ),file(xtuple_0,rd6_xtuple_0)).
thf(commutativity_k3_rlvect_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v2_rlvect_1 @ A ) & ( l1_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k3_rlvect_1 @ A @ B @ C ) @ ( k3_rlvect_1 @ A @ C @ B ) ) ) ),file(rlvect_1,k3_rlvect_1)).
thf(commutativity_k8_group_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v5_group_1 @ A ) & ( l3_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k8_group_1 @ A @ B @ C ) @ ( k8_group_1 @ A @ C @ B ) ) ) ),file(group_1,k8_group_1)).
thf(symmetry_r1_ec_pf_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( m1_subset_1 @ B @ ( k3_ec_pf_1 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ C @ ( k3_ec_pf_1 @ ( k9_int_3 @ A ) ) ) ) => ( ( r1_ec_pf_1 @ A @ B @ C ) => ( r1_ec_pf_1 @ A @ C @ B ) ) ) ),file(ec_pf_1,r1_ec_pf_1)).
thf(reflexivity_r1_ec_pf_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( m1_subset_1 @ B @ ( k3_ec_pf_1 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ C @ ( k3_ec_pf_1 @ ( k9_int_3 @ A ) ) ) ) => ( r1_ec_pf_1 @ A @ B @ B ) ) ),file(ec_pf_1,r1_ec_pf_1)).
thf(redefinition_k2_binop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ ( k2_zfmisc_1 @ A @ B ) @ C ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) @ C ) ) ) & ( m1_subset_1 @ E @ A ) & ( m1_subset_1 @ F @ B ) ) => ( = @ ( k2_binop_1 @ A @ B @ C @ D @ E @ F ) @ ( k1_binop_1 @ D @ E @ F ) ) ) ),file(binop_1,k2_binop_1)).
thf(redefinition_k2_ec_pf_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( v1_ec_pf_2 @ A @ np__5 ) & ( m1_subset_1 @ B @ ( k1_ec_pf_2 @ A ) ) ) => ( = @ ( k2_ec_pf_2 @ A @ B ) @ ( k1_xtuple_0 @ B ) ) ) ),file(ec_pf_2,k2_ec_pf_2)).
thf(redefinition_k3_ec_pf_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( v1_ec_pf_2 @ A @ np__5 ) & ( m1_subset_1 @ B @ ( k1_ec_pf_2 @ A ) ) ) => ( = @ ( k3_ec_pf_2 @ A @ B ) @ ( k2_xtuple_0 @ B ) ) ) ),file(ec_pf_2,k3_ec_pf_2)).
thf(redefinition_k3_rlvect_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v2_rlvect_1 @ A ) & ( l1_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k3_rlvect_1 @ A @ B @ C ) @ ( k1_algstr_0 @ A @ B @ C ) ) ) ),file(rlvect_1,k3_rlvect_1)).
thf(redefinition_k4_domain_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ~ ( v1_xboole_0 @ C ) & ( m1_subset_1 @ D @ A ) & ( m1_subset_1 @ E @ B ) & ( m1_subset_1 @ F @ C ) ) => ( = @ ( k4_domain_1 @ A @ B @ C @ D @ E @ F ) @ ( k3_xtuple_0 @ D @ E @ F ) ) ) ),file(domain_1,k4_domain_1)).
thf(redefinition_k5_binop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) @ A ) ) ) & ( m1_subset_1 @ C @ A ) & ( m1_subset_1 @ D @ A ) ) => ( = @ ( k5_binop_1 @ A @ B @ C @ D ) @ ( k1_binop_1 @ B @ C @ D ) ) ) ),file(binop_1,k5_binop_1)).
thf(redefinition_k5_numbers,axiom,( = @ k5_numbers @ k4_ordinal1 ),file(numbers,k5_numbers)).
thf(redefinition_k6_numbers,axiom,( = @ k6_numbers @ k1_xboole_0 ),file(numbers,k6_numbers)).
thf(redefinition_k8_group_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v5_group_1 @ A ) & ( l3_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k8_group_1 @ A @ B @ C ) @ ( k6_algstr_0 @ A @ B @ C ) ) ) ),file(group_1,k8_group_1)).
thf(redefinition_k8_mcart_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) ) ) => ( = @ ( k8_mcart_1 @ A @ B @ C @ D ) @ ( k2_zfmisc_1 @ C @ D ) ) ) ),file(mcart_1,k8_mcart_1)).
thf(redefinition_m2_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ A @ B ) <=> ( m1_subset_1 @ C @ B ) ) ) ),file(subset_1,m2_subset_1)).
thf(dt_k1_ec_pf_2,axiom,( ! [A: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( v1_ec_pf_2 @ A @ np__5 ) ) => ( m1_subset_1 @ ( k1_ec_pf_2 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) ) ) ) ),file(ec_pf_2,k1_ec_pf_2)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_binom,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v1_group_1 @ A ) & ( l3_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( v7_ordinal1 @ C ) ) => ( m1_subset_1 @ ( k2_binom @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ),file(binom,k2_binom)).
thf(dt_k2_binop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ ( k2_zfmisc_1 @ A @ B ) @ C ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) @ C ) ) ) & ( m1_subset_1 @ E @ A ) & ( m1_subset_1 @ F @ B ) ) => ( m1_subset_1 @ ( k2_binop_1 @ A @ B @ C @ D @ E @ F ) @ C ) ) ),file(binop_1,k2_binop_1)).
thf(dt_k2_ec_pf_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( v1_ec_pf_2 @ A @ np__5 ) & ( m1_subset_1 @ B @ ( k1_ec_pf_2 @ A ) ) ) => ( m1_subset_1 @ ( k2_ec_pf_2 @ A @ B ) @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) ) ),file(ec_pf_2,k2_ec_pf_2)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_ec_pf_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v6_struct_0 @ A ) & ( v13_algstr_0 @ A ) & ( v33_algstr_0 @ A ) & ( v3_group_1 @ A ) & ( v5_group_1 @ A ) & ( v4_vectsp_1 @ A ) & ( v5_vectsp_1 @ A ) & ( v2_rlvect_1 @ A ) & ( v3_rlvect_1 @ A ) & ( v4_rlvect_1 @ A ) & ( l6_algstr_0 @ A ) ) => ( ~ ( v1_xboole_0 @ ( k3_ec_pf_1 @ A ) ) & ( m1_subset_1 @ ( k3_ec_pf_1 @ A ) @ ( k1_zfmisc_1 @ ( k3_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(ec_pf_1,k3_ec_pf_1)).
thf(dt_k3_ec_pf_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( v1_ec_pf_2 @ A @ np__5 ) & ( m1_subset_1 @ B @ ( k1_ec_pf_2 @ A ) ) ) => ( m1_subset_1 @ ( k3_ec_pf_2 @ A @ B ) @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) ) ),file(ec_pf_2,k3_ec_pf_2)).
thf(dt_k3_rlvect_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v2_rlvect_1 @ A ) & ( l1_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k3_rlvect_1 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ),file(rlvect_1,k3_rlvect_1)).
thf(dt_k4_domain_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ~ ( v1_xboole_0 @ C ) & ( m1_subset_1 @ D @ A ) & ( m1_subset_1 @ E @ B ) & ( m1_subset_1 @ F @ C ) ) => ( m1_subset_1 @ ( k4_domain_1 @ A @ B @ C @ D @ E @ F ) @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) ),file(domain_1,k4_domain_1)).
thf(dt_k4_ec_pf_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ D @ ( k6_ec_pf_1 @ A @ B @ C ) ) ) => ( m1_subset_1 @ ( k4_ec_pf_2 @ A @ B @ C @ D ) @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) ) ),file(ec_pf_2,k4_ec_pf_2)).
thf(dt_k5_algstr_0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l2_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k5_algstr_0 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ),file(algstr_0,k5_algstr_0)).
thf(dt_k5_binop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) @ A ) ) ) & ( m1_subset_1 @ C @ A ) & ( m1_subset_1 @ D @ A ) ) => ( m1_subset_1 @ ( k5_binop_1 @ A @ B @ C @ D ) @ A ) ) ),file(binop_1,k5_binop_1)).
thf(dt_k5_ec_pf_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ D @ ( k6_ec_pf_1 @ A @ B @ C ) ) ) => ( m1_subset_1 @ ( k5_ec_pf_2 @ A @ B @ C @ D ) @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) ) ),file(ec_pf_2,k5_ec_pf_2)).
thf(dt_k5_numbers,axiom,( m1_subset_1 @ k5_numbers @ ( k1_zfmisc_1 @ k1_numbers ) ),file(numbers,k5_numbers)).
thf(dt_k6_ec_pf_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) ) => ( ~ ( v1_xboole_0 @ ( k6_ec_pf_1 @ A @ B @ C ) ) & ( m1_subset_1 @ ( k6_ec_pf_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ ( k3_ec_pf_1 @ ( k9_int_3 @ A ) ) ) ) ) ) ),file(ec_pf_1,k6_ec_pf_1)).
thf(dt_k6_ec_pf_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) & ( m1_subset_1 @ D @ ( k6_ec_pf_1 @ A @ B @ C ) ) ) => ( m1_subset_1 @ ( k6_ec_pf_2 @ A @ B @ C @ D ) @ ( u1_struct_0 @ ( k9_int_3 @ A ) ) ) ) ),file(ec_pf_2,k6_ec_pf_2)).
thf(dt_k6_int_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_int_1 @ A ) & ( v1_int_1 @ B ) ) => ( v1_int_1 @ ( k6_int_1 @ A @ B ) ) ) ),file(int_1,k6_int_1)).
thf(dt_k6_numbers,axiom,( m2_subset_1 @ k6_numbers @ k1_numbers @ k5_numbers ),file(numbers,k6_numbers)).
thf(dt_k8_group_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v5_group_1 @ A ) & ( l3_algstr_0 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k8_group_1 @ A @ B @ C ) @ ( u1_struct_0 @ A ) ) ) ),file(group_1,k8_group_1)).
thf(dt_k8_mcart_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) ) ) => ( m1_subset_1 @ ( k8_mcart_1 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ),file(mcart_1,k8_mcart_1)).
thf(dt_k9_int_3,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( l6_algstr_0 @ ( k9_int_3 @ A ) ) ) ),file(int_3,k9_int_3)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_m2_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ A @ B ) => ( m1_subset_1 @ C @ A ) ) ) ),file(subset_1,m2_subset_1)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_c1_74__ec_pf_2,axiom,( ( v7_ordinal1 @ c1_74__ec_pf_2 ) & ( v1_int_2 @ c1_74__ec_pf_2 ) & ( v1_ec_pf_2 @ c1_74__ec_pf_2 @ np__5 ) ),file(ec_pf_2,c1_74__ec_pf_2)).
thf(dt_c2_74__ec_pf_2,axiom,( m2_subset_1 @ c2_74__ec_pf_2 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) @ ( k1_ec_pf_2 @ c1_74__ec_pf_2 ) ),file(ec_pf_2,c2_74__ec_pf_2)).
thf(cc2_int_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_int_1 @ A ) ) ),file(int_1,cc2_int_1)).
thf(cc2_xreal_0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(xreal_0,cc2_xreal_0)).
thf(cc3_int_3,axiom,( ! [A: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) ) => ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) ) ) ),file(int_3,cc3_int_3)).
thf(cc6_ordinal1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc6_ordinal1)).
thf(fc1_ec_pf_2,axiom,( ! [A: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) & ( v1_ec_pf_2 @ A @ np__5 ) ) => ~ ( v1_xboole_0 @ ( k1_ec_pf_2 @ A ) ) ) ),file(ec_pf_2,fc1_ec_pf_2)).
thf(fc1_subset_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ),file(subset_1,fc1_subset_1)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_1)).
thf(fc7_int_3,axiom,( ! [A: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_int_2 @ A ) ) => ( ~ ( v6_struct_0 @ ( k9_int_3 @ A ) ) & ( v13_algstr_0 @ ( k9_int_3 @ A ) ) & ( v33_algstr_0 @ ( k9_int_3 @ A ) ) & ( v3_group_1 @ ( k9_int_3 @ A ) ) & ( v5_group_1 @ ( k9_int_3 @ A ) ) & ( v2_rlvect_1 @ ( k9_int_3 @ A ) ) & ( v3_rlvect_1 @ ( k9_int_3 @ A ) ) & ( v4_rlvect_1 @ ( k9_int_3 @ A ) ) & ( v4_vectsp_1 @ ( k9_int_3 @ A ) ) & ( v5_vectsp_1 @ ( k9_int_3 @ A ) ) ) ) ),file(int_3,fc7_int_3)).
thf(rc4_ordinal1,axiom,( ? [A: $i] : ( v7_ordinal1 @ A ) ),file(ordinal1,rc4_ordinal1)).
thf(spc1_numerals,axiom,( ( v2_xxreal_0 @ np__1 ) & ( m2_subset_1 @ np__1 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__1 @ k5_numbers ) & ( m1_subset_1 @ np__1 @ k1_numbers ) ),file(numerals,spc1_numerals)).
thf(spc2_numerals,axiom,( ( v2_xxreal_0 @ np__2 ) & ( m2_subset_1 @ np__2 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__2 @ k5_numbers ) & ( m1_subset_1 @ np__2 @ k1_numbers ) ),file(numerals,spc2_numerals)).
thf(spc3_numerals,axiom,( ( v2_xxreal_0 @ np__3 ) & ( m2_subset_1 @ np__3 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__3 @ k5_numbers ) & ( m1_subset_1 @ np__3 @ k1_numbers ) ),file(numerals,spc3_numerals)).
thf(spc4_numerals,axiom,( ( v2_xxreal_0 @ np__4 ) & ( m2_subset_1 @ np__4 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__4 @ k5_numbers ) & ( m1_subset_1 @ np__4 @ k1_numbers ) ),file(numerals,spc4_numerals)).
thf(spc5_numerals,axiom,( ( v2_xxreal_0 @ np__5 ) & ( m2_subset_1 @ np__5 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__5 @ k5_numbers ) & ( m1_subset_1 @ np__5 @ k1_numbers ) ),file(numerals,spc5_numerals)).
thf(spc8_numerals,axiom,( ( v2_xxreal_0 @ np__8 ) & ( m2_subset_1 @ np__8 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__8 @ k5_numbers ) & ( m1_subset_1 @ np__8 @ k1_numbers ) ),file(numerals,spc8_numerals)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
thf(spc2_boole,axiom,( ~ ( v1_xboole_0 @ np__2 ) ),file(boole,spc2_boole)).
thf(spc3_boole,axiom,( ~ ( v1_xboole_0 @ np__3 ) ),file(boole,spc3_boole)).
thf(spc4_boole,axiom,( ~ ( v1_xboole_0 @ np__4 ) ),file(boole,spc4_boole)).
thf(spc5_boole,axiom,( ~ ( v1_xboole_0 @ np__5 ) ),file(boole,spc5_boole)).
thf(spc8_boole,axiom,( ~ ( v1_xboole_0 @ np__8 ) ),file(boole,spc8_boole)).
thf(e2_74_1_1__ec_pf_2,axiom,( ! [A: $i] : ( ( m2_subset_1 @ A @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) => ! [B: $i] : ( ( m2_subset_1 @ B @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) => ? [C: $i] : ( ( m2_subset_1 @ C @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) & ! [D: $i] : ( ( m2_subset_1 @ D @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) => ( ( = @ D @ ( k4_domain_1 @ k5_numbers @ k5_numbers @ k5_numbers @ k6_numbers @ np__1 @ k6_numbers ) ) => ( ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ A @ D ) => ( = @ C @ B ) ) & ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ D ) => ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ A @ D ) | ( = @ C @ A ) ) ) & ~ ( ~ ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ A @ D ) & ~ ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ D ) & ~ ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ A @ B ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) & ? [F: $i] : ( ( m1_subset_1 @ F @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) & ? [G: $i] : ( ( m1_subset_1 @ G @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) & ? [H: $i] : ( ( m1_subset_1 @ H @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) & ( = @ E @ ( k6_int_1 @ np__2 @ c1_74__ec_pf_2 ) ) & ( = @ F @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) ) ) & ( = @ G @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) ) ) & ( = @ H @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ F @ np__2 ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__3 ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ E @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__2 ) ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) ) ) & ~ ( = @ C @ ( k4_domain_1 @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ H ) @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ F @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ H ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__3 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__3 ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) ) ) ) ) ) ) ) & ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ A @ B ) => ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ A @ D ) | ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ D ) | ! [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [F: $i] : ( ( m1_subset_1 @ F @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [G: $i] : ( ( m1_subset_1 @ G @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [H: $i] : ( ( m1_subset_1 @ H @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [I: $i] : ( ( m1_subset_1 @ I @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [J: $i] : ( ( m1_subset_1 @ J @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [K: $i] : ( ( m1_subset_1 @ K @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [L: $i] : ( ( m1_subset_1 @ L @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ( ( ( = @ E @ ( k6_int_1 @ np__2 @ c1_74__ec_pf_2 ) ) & ( = @ F @ ( k6_int_1 @ np__3 @ c1_74__ec_pf_2 ) ) & ( = @ G @ ( k6_int_1 @ np__4 @ c1_74__ec_pf_2 ) ) & ( = @ H @ ( k6_int_1 @ np__8 @ c1_74__ec_pf_2 ) ) & ( = @ I @ ( k3_rlvect_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) @ np__2 ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ F @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) @ np__2 ) ) ) ) & ( = @ J @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) ) & ( = @ K @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) ) @ J ) ) & ( = @ L @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ I @ np__2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ H @ K ) ) ) ) => ( = @ C @ ( k4_domain_1 @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ E @ L ) @ J ) @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ I @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ K ) @ L ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ H @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ A ) @ np__2 ) ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ J @ np__2 ) ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ H @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ J @ np__3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),file(ec_pf_2,e2_74_1_1__ec_pf_2)).
thf(s3_binop_1,axiom,( ! [A: $i > $i > $i > $o] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ! [E: $i] : ( ( m1_subset_1 @ E @ D ) => ! [F: $i] : ( ( m1_subset_1 @ F @ C ) => ? [G: $i] : ( ( m1_subset_1 @ G @ B ) & ( A @ E @ F @ G ) ) ) ) => ? [E: $i] : ( ( v1_funct_1 @ E ) & ( v1_funct_2 @ E @ ( k2_zfmisc_1 @ D @ C ) @ B ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ D @ C ) @ B ) ) ) & ! [F: $i] : ( ( m1_subset_1 @ F @ D ) => ! [G: $i] : ( ( m1_subset_1 @ G @ C ) => ( A @ F @ G @ ( k2_binop_1 @ D @ C @ B @ E @ F @ G ) ) ) ) ) ) ),file(binop_1,s3_binop_1)).
thf(e3_74_1_1__ec_pf_2,conjecture,( ? [A: $i] : ( ( v1_funct_1 @ A ) & ( v1_funct_2 @ A @ ( k8_mcart_1 @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k8_mcart_1 @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) ) ) & ! [B: $i] : ( ( m2_subset_1 @ B @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) => ! [D: $i] : ( ( m2_subset_1 @ D @ ( k3_ec_pf_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) ) => ( ( = @ D @ ( k4_domain_1 @ k5_numbers @ k5_numbers @ k5_numbers @ k6_numbers @ np__1 @ k6_numbers ) ) => ( ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ D ) => ( = @ ( k5_binop_1 @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) @ A @ B @ C ) @ C ) ) & ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ C @ D ) => ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ D ) | ( = @ ( k5_binop_1 @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) @ A @ B @ C ) @ B ) ) ) & ~ ( ~ ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ D ) & ~ ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ C @ D ) & ~ ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ C ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) & ? [F: $i] : ( ( m1_subset_1 @ F @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) & ? [G: $i] : ( ( m1_subset_1 @ G @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) & ? [H: $i] : ( ( m1_subset_1 @ H @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) & ( = @ E @ ( k6_int_1 @ np__2 @ c1_74__ec_pf_2 ) ) & ( = @ F @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) ) ) ) & ( = @ G @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) ) ) ) & ( = @ H @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ F @ np__2 ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__3 ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ E @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__2 ) ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) ) ) ) & ~ ( = @ ( k5_binop_1 @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) @ A @ B @ C ) @ ( k4_domain_1 @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ H ) @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ F @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) ) @ H ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__3 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ np__3 ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ C ) ) ) ) ) ) ) ) ) & ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ C ) => ( ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ B @ D ) | ( r1_ec_pf_1 @ c1_74__ec_pf_2 @ C @ D ) | ! [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [F: $i] : ( ( m1_subset_1 @ F @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [G: $i] : ( ( m1_subset_1 @ G @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [H: $i] : ( ( m1_subset_1 @ H @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [I: $i] : ( ( m1_subset_1 @ I @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [J: $i] : ( ( m1_subset_1 @ J @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [K: $i] : ( ( m1_subset_1 @ K @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ! [L: $i] : ( ( m1_subset_1 @ L @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) ) => ( ( ( = @ E @ ( k6_int_1 @ np__2 @ c1_74__ec_pf_2 ) ) & ( = @ F @ ( k6_int_1 @ np__3 @ c1_74__ec_pf_2 ) ) & ( = @ G @ ( k6_int_1 @ np__4 @ c1_74__ec_pf_2 ) ) & ( = @ H @ ( k6_int_1 @ np__8 @ c1_74__ec_pf_2 ) ) & ( = @ I @ ( k3_rlvect_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ np__2 ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ F @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ np__2 ) ) ) ) & ( = @ J @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ ( k6_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) ) & ( = @ K @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k4_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) ) @ J ) ) & ( = @ L @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ I @ np__2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ H @ K ) ) ) ) => ( = @ ( k5_binop_1 @ ( k6_ec_pf_1 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) ) @ A @ B @ C ) @ ( k4_domain_1 @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( u1_struct_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ E @ L ) @ J ) @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ I @ ( k5_algstr_0 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ G @ K ) @ L ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ H @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ ( k5_ec_pf_2 @ c1_74__ec_pf_2 @ ( k2_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ ( k3_ec_pf_2 @ c1_74__ec_pf_2 @ c2_74__ec_pf_2 ) @ B ) @ np__2 ) ) @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ J @ np__2 ) ) ) @ ( k8_group_1 @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ H @ ( k2_binom @ ( k9_int_3 @ c1_74__ec_pf_2 ) @ J @ np__3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),file(ec_pf_2,e3_74_1_1__ec_pf_2)).
