% Mizar problem: e1_29_2_1,net_1,507,19 
include('Axioms/SET010^0.ax').
thf(c1_29_type,type,( c1_29__net_1: $i )).
thf(c2_29_type,type,( c2_29__net_1: $i )).
thf(k1_net_1_type,type,( k1_net_1: $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(u4_struct_0_type,type,( u4_struct_0: $i > $i )).
thf(l1_petri_type,type,( l1_petri: $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l5_struct_0_type,type,( l5_struct_0: $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(dt_l5_struct_0,axiom,( ! [A: $i] : ( ( l5_struct_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(struct_0,l5_struct_0)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(dt_k1_net_1,axiom,( $true ),file(net_1,k1_net_1)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_l1_petri,axiom,( ! [A: $i] : ( ( l1_petri @ A ) => ( l5_struct_0 @ A ) ) ),file(petri,l1_petri)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_u4_struct_0,axiom,( $true ),file(struct_0,u4_struct_0)).
thf(dt_c1_29__net_1,axiom,( l1_petri @ c1_29__net_1 ),file(net_1,c1_29__net_1)).
thf(dt_c2_29__net_1,axiom,( m1_subset_1 @ c2_29__net_1 @ ( u4_struct_0 @ c1_29__net_1 ) ),file(net_1,c2_29__net_1)).
thf(fc1_net_1,axiom,( ! [A: $i] : ( ( l1_petri @ A ) => ( v1_relat_1 @ ( k1_net_1 @ A ) ) ) ),file(net_1,fc1_net_1)).
thf(s1_xboole_0,axiom,( ! [A: $i > $o] : ! [B: $i] : ? [C: $i] : ! [D: $i] : ( ( r2_hidden @ D @ C ) <=> ( ( r2_hidden @ D @ B ) & ( A @ D ) ) ) ),file(xboole_0,s1_xboole_0)).
thf(e1_29_2_1__net_1,conjecture,( ? [A: $i] : ! [B: $i] : ( ( r2_hidden @ B @ A ) <=> ( ( r2_hidden @ B @ ( u1_struct_0 @ c1_29__net_1 ) ) & ( r2_hidden @ ( k4_tarski @ c2_29__net_1 @ B ) @ ( k1_net_1 @ c1_29__net_1 ) ) ) ) ),file(net_1,e1_29_2_1__net_1)).
