% Mizar problem: t16_gate_1,gate_1,344,7 
fof(t16_gate_1, conjecture,  (! [A] :  (! [B] :  (! [C] :  ( ~ ( ( ~ (v1_xboole_0(k10_gate_1(A, B, C)))  &  ( ~ ( ( ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  |  (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  & v1_xboole_0(C)) )  &  ~ ( ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ( ~ ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  &  ~ (v1_xboole_0(C)) ) ) ) ) ) )  &  ~ ( ( ( ( ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  |  (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  & v1_xboole_0(C))  |  ( ~ ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B)) )  &  ( ~ ( (v1_xboole_0(A) &  ~ (v1_xboole_0(B)) ) )  &  ~ (v1_xboole_0(C)) ) ) )  & v1_xboole_0(k10_gate_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k10_gate_1, axiom, $true).
fof(fc25_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, B, C))) ) ).
fof(fc26_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, B, C))) ) ) ).
fof(fc27_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, C, B))) ) ) ).
fof(fc28_gate_1, axiom,  (! [A, B, C] :  ( (v1_xboole_0(A) &  (v1_xboole_0(B) &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(C, A, B))) ) ) ).
fof(fc29_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, B, C))) ) ).
fof(fc30_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(A, C, B))) ) ).
fof(fc31_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & v1_xboole_0(C)) )  => v1_xboole_0(k10_gate_1(C, A, B))) ) ).
fof(fc32_gate_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k10_gate_1(A, B, C))) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
