% Mizar problem: t5_cgames_1,cgames_1,410,5 
fof(t5_cgames_1, conjecture,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (v2_cgames_1(B) =>  (A=B <=>  (k6_cgames_1(A)=k6_cgames_1(B) & k7_cgames_1(A)=k7_cgames_1(B)) ) ) ) ) ) ).
fof(abstractness_v1_cgames_1, axiom,  (! [A] :  (l1_cgames_1(A) =>  (v1_cgames_1(A) => A=g1_cgames_1(u1_cgames_1(A), u2_cgames_1(A))) ) ) ).
fof(cc2_cgames_1, axiom,  (! [A] :  (l1_cgames_1(A) =>  (v2_cgames_1(A) => v1_cgames_1(A)) ) ) ).
fof(d6_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (B=k6_cgames_1(A) <=>  (? [C] :  (l1_cgames_1(C) &  (A=C & B=u1_cgames_1(C)) ) ) ) ) ) ) ).
fof(d7_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (! [B] :  (B=k7_cgames_1(A) <=>  (? [C] :  (l1_cgames_1(C) &  (A=C & B=u2_cgames_1(C)) ) ) ) ) ) ) ).
fof(dt_g1_cgames_1, axiom,  (! [A, B] :  (v1_cgames_1(g1_cgames_1(A, B)) & l1_cgames_1(g1_cgames_1(A, B))) ) ).
fof(dt_k6_cgames_1, axiom, $true).
fof(dt_k7_cgames_1, axiom, $true).
fof(dt_l1_cgames_1, axiom, $true).
fof(dt_u1_cgames_1, axiom, $true).
fof(dt_u2_cgames_1, axiom, $true).
fof(existence_l1_cgames_1, axiom,  (? [A] : l1_cgames_1(A)) ).
fof(free_g1_cgames_1, axiom,  (! [A, B] :  (! [C, D] :  (g1_cgames_1(A, B)=g1_cgames_1(C, D) =>  (A=C & B=D) ) ) ) ).
fof(rc1_cgames_1, axiom,  (? [A] :  (l1_cgames_1(A) & v1_cgames_1(A)) ) ).
fof(rc2_cgames_1, axiom,  (? [A] :  (l1_cgames_1(A) & v1_cgames_1(A)) ) ).
fof(rc3_cgames_1, axiom,  (? [A] :  (l1_cgames_1(A) &  (v1_cgames_1(A) & v2_cgames_1(A)) ) ) ).
fof(rc4_cgames_1, axiom,  (? [A] : v2_cgames_1(A)) ).
fof(t4_cgames_1, axiom,  (! [A] :  (v2_cgames_1(A) =>  (v1_cgames_1(A) & l1_cgames_1(A)) ) ) ).
