% Mizar problem: t10_ff_siec,ff_siec,282,5 
fof(t10_ff_siec, conjecture,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k9_xtuple_0(k4_relat_1(u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k9_xtuple_0(k4_relat_1(u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), k10_xtuple_0(k4_relat_1(u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), k10_xtuple_0(k4_relat_1(u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k9_xtuple_0(k4_relat_1(u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))) &  (r1_xboole_0(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k9_xtuple_0(k4_relat_1(u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), k10_xtuple_0(k4_relat_1(u4_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A)))) &  (r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A)))) & r1_xboole_0(k9_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), k10_xtuple_0(k4_relat_1(u4_struct_0(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(cc5_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(d1_net_1, axiom,  (! [A] :  (l1_petri(A) => k1_net_1(A)=k2_xboole_0(u1_petri(A), u2_petri(A))) ) ).
fof(d2_net_1, axiom,  (! [A] :  (l1_petri(A) =>  (v1_net_1(A) <=>  (r1_xboole_0(u1_struct_0(A), u4_struct_0(A)) & r1_tarski(k1_net_1(A), k2_xboole_0(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(A)), k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k1_net_1, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => v1_relat_1(k2_relat_1(A))) ) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k4_relat_1, axiom,  (! [A] : v1_relat_1(k4_relat_1(A))) ).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_petri, axiom,  (! [A] :  (l1_petri(A) => l5_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l5_struct_0, axiom,  (! [A] :  (l5_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_petri, axiom,  (! [A] :  (l1_petri(A) => m1_subset_1(u1_petri(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u4_struct_0(A))))) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_petri, axiom,  (! [A] :  (l1_petri(A) => m1_subset_1(u2_petri(A), k1_zfmisc_1(k2_zfmisc_1(u4_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_u4_struct_0, axiom, $true).
fof(existence_l1_petri, axiom,  (? [A] : l1_petri(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l5_struct_0, axiom,  (? [A] : l5_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc1_net_1, axiom,  (! [A] :  (l1_petri(A) => v1_relat_1(k1_net_1(A))) ) ).
fof(fc26_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_relat_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc27_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) &  (v4_relat_1(k5_relat_1(C, A), A) & v4_relat_1(k5_relat_1(C, A), B)) ) ) ) ).
fof(fc28_relat_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v4_relat_1(k4_relat_1(A), A) & v5_relat_1(k4_relat_1(A), A)) ) ) ).
fof(fc3_partit_2, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v1_partit_2(k4_relat_1(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(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(involutiveness_k2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k2_relat_1(k2_relat_1(A))=A) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rd1_relat_1, axiom,  (! [A] : k9_xtuple_0(k4_relat_1(A))=A) ).
fof(rd2_relat_1, axiom,  (! [A] : k10_xtuple_0(k4_relat_1(A))=A) ).
fof(rd3_relat_1, axiom,  (! [A] : k2_relat_1(k4_relat_1(A))=k4_relat_1(A)) ).
fof(rd4_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k9_xtuple_0(A))=A) ) ).
fof(rd5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k5_relat_1(k5_relat_1(A, B), B)=k5_relat_1(A, B)) ) ).
fof(rd8_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=B) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t58_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => r1_tarski(k9_xtuple_0(k5_relat_1(B, A)), A)) ) ) ).
fof(t64_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (r1_tarski(A, C) &  (r1_tarski(B, D) & r1_xboole_0(C, D)) )  => r1_xboole_0(A, B)) ) ) ) ) ).
fof(t9_ff_siec, axiom,  (! [A] :  ( (v1_net_1(A) & l1_petri(A))  =>  (r1_tarski(k10_xtuple_0(k5_relat_1(k1_net_1(A), u4_struct_0(A))), u1_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u4_struct_0(A))), u1_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k5_relat_1(k1_net_1(A), u1_struct_0(A))), u4_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k5_relat_1(k2_relat_1(k1_net_1(A)), u1_struct_0(A))), u4_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k4_relat_1(u4_struct_0(A))), u4_struct_0(A)) &  (r1_tarski(k9_xtuple_0(k4_relat_1(u4_struct_0(A))), u4_struct_0(A)) &  (r1_tarski(k10_xtuple_0(k4_relat_1(u1_struct_0(A))), u1_struct_0(A)) & r1_tarski(k9_xtuple_0(k4_relat_1(u1_struct_0(A))), u1_struct_0(A))) ) ) ) ) ) ) ) ) ).
