% Mizar problem: t18_gate_1,gate_1,391,18 
fof(t18_gate_1, conjecture,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (v1_xboole_0(k12_gate_1(A, B, C)))  &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) ) ) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) ) )  & v1_xboole_0(k12_gate_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k12_gate_1, axiom, $true).
fof(dt_k1_gate_1, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(fc1_gate_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v1_xboole_0(k1_gate_1(A))) ) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_gate_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_xboole_0(k1_gate_1(A))) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(d12_gate_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) ) )  => k12_gate_1(A, B, C)=k1_gate_1(k1_xboole_0))  &  ~ ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ~ (k12_gate_1(A, B, C)=k1_xboole_0) ) ) ) ) ) ) ) ) ).
