% Mizar problem: l164_fomodel0,fomodel0,4363,5 
fof(l164_fomodel0, conjecture,  (! [A] :  (! [B] :  (v1_relat_1(B) => k3_relat_1(B, k2_zfmisc_1(k10_xtuple_0(B), A))=k2_zfmisc_1(k9_xtuple_0(B), A)) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k8_relat_1, axiom, $true).
fof(dt_k9_xtuple_0, axiom, $true).
fof(fc119_fomodel0, axiom,  (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), B)) ).
fof(fc29_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(C, B)) & v5_relat_1(k3_relat_1(C, B), A)) ) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(l162_fomodel0, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_relat_1(C) => k3_relat_1(C, k2_zfmisc_1(A, B))=k2_zfmisc_1(k8_relat_1(C, A), B)) ) ) ) ).
fof(t134_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k8_relat_1(A, k10_xtuple_0(A))=k9_xtuple_0(A)) ) ).
