% Mizar problem: t5_gate_1,gate_1,103,62 
fof(t5_gate_1, conjecture,  (! [A] :  (! [B] :  ( ~ ( ( ~ (v1_xboole_0(k3_gate_1(A, B)))  &  (v1_xboole_0(A) & v1_xboole_0(B)) ) )  &  ~ ( ( ~ ( (v1_xboole_0(A) & v1_xboole_0(B)) )  & v1_xboole_0(k3_gate_1(A, B))) ) ) ) ) ).
fof(commutativity_k3_gate_1, axiom,  (! [A, B] : k3_gate_1(A, B)=k3_gate_1(B, A)) ).
fof(dt_k3_gate_1, axiom, $true).
fof(fc5_gate_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k3_gate_1(A, B))) ) ) ).
fof(fc6_gate_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xboole_0(B))  => v1_xboole_0(k3_gate_1(A, B))) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
