% Mizar problem: t131_gtarski3,gtarski3,3560,31 
fof(t131_gtarski3, conjecture,  (! [A] :  ( (v2_gtarski3(A) &  (v3_gtarski3(A) & l1_gtarski1(A)) )  =>  (v6_gtarski3(A) <=> v13_gtarski3(A)) ) ) ).
fof(cc1_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & v1_gtarski3(A)) )  =>  (v2_gtarski1(A) &  (v3_gtarski1(A) & v6_gtarski1(A)) ) ) ) ) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(dt_l1_struct_0, axiom, $true).
fof(cc13_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski1(A) => v2_gtarski3(A)) ) ) ).
fof(cc14_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski1(A) => v3_gtarski3(A)) ) ) ).
fof(cc2_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski1(A) &  (v3_gtarski1(A) & v6_gtarski1(A)) )  =>  (v2_gtarski1(A) &  (v3_gtarski1(A) & v1_gtarski3(A)) ) ) ) ) ).
fof(rc4_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski1(A) &  (v3_gtarski1(A) &  (v2_gtarski3(A) &  (v3_gtarski3(A) & v6_gtarski3(A)) ) ) ) ) ) ).
fof(existence_l1_gtarski1, axiom,  (? [A] : l1_gtarski1(A)) ).
fof(dt_l1_gtarski1, axiom,  (! [A] :  (l1_gtarski1(A) => l1_struct_0(A)) ) ).
fof(cc23_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski3(A) &  (v3_gtarski3(A) & v6_gtarski3(A)) )  =>  (v6_gtarski1(A) &  (v2_gtarski3(A) & v3_gtarski3(A)) ) ) ) ) ).
fof(cc3_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v2_gtarski3(A) => v2_gtarski1(A)) ) ) ).
fof(cc4_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  (v3_gtarski3(A) => v3_gtarski1(A)) ) ) ).
fof(rc3_gtarski3, axiom,  (? [A] :  (l1_gtarski1(A) &  (v2_gtarski3(A) & v3_gtarski3(A)) ) ) ).
fof(t130_gtarski3, axiom,  (! [A] :  (l1_gtarski1(A) =>  ( (v2_gtarski3(A) & v3_gtarski3(A))  =>  (v6_gtarski3(A) <=> v13_gtarski3(A)) ) ) ) ).
