% Mizar problem: t113_xboole_1,xboole_1,1358,5 
fof(t113_xboole_1, conjecture,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_xboole_0(k2_xboole_0(k2_xboole_0(A, B), C), D)=k2_xboole_0(A, k2_xboole_0(k2_xboole_0(B, C), D))) ) ) ) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(t4_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] : k2_xboole_0(k2_xboole_0(A, B), C)=k2_xboole_0(A, k2_xboole_0(B, C))) ) ) ).
