% Mizar problem: t15_gate_1,gate_1,295,11 
fof(t15_gate_1, conjecture,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (v1_xboole_0(k9_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(k9_gate_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k9_gate_1, axiom, $true).
fof(fc21_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) )  => v1_xboole_0(k9_gate_1(A, B, C))) ) ).
fof(fc22_gate_1, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k9_gate_1(A, B, C))) ) ) ).
fof(fc23_gate_1, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k9_gate_1(B, A, C))) ) ) ).
fof(fc24_gate_1, axiom,  (! [A, B, C] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k9_gate_1(B, C, A))) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
