# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_relations_idem(s(t_fun(X1,X1),X2))))<=>![X3]:s(X1,happ(s(t_fun(X1,X1),X2),s(X1,happ(s(t_fun(X1,X1),X2),s(X1,X3)))))=s(X1,happ(s(t_fun(X1,X1),X2),s(X1,X3)))),file('i/f/relation/IDEM0', ch4s_relations_IDEM0)).
fof(2, axiom,![X4]:![X5]:![X2]:![X6]:(![X3]:s(X5,happ(s(t_fun(X4,X5),X2),s(X4,X3)))=s(X5,happ(s(t_fun(X4,X5),X6),s(X4,X3)))=>s(t_fun(X4,X5),X2)=s(t_fun(X4,X5),X6)),file('i/f/relation/IDEM0', aHLu_EXT)).
fof(7, axiom,![X1]:![X2]:(p(s(t_bool,h4s_relations_idem(s(t_fun(X1,X1),X2))))<=>s(t_fun(X1,X1),h4s_combins_o(s(t_fun(X1,X1),X2),s(t_fun(X1,X1),X2)))=s(t_fun(X1,X1),X2)),file('i/f/relation/IDEM0', ah4s_relations_IDEMu_u_DEF)).
fof(8, axiom,![X7]:![X8]:![X9]:![X3]:![X6]:![X2]:s(X7,happ(s(t_fun(X9,X7),h4s_combins_o(s(t_fun(X8,X7),X2),s(t_fun(X9,X8),X6))),s(X9,X3)))=s(X7,happ(s(t_fun(X8,X7),X2),s(X8,happ(s(t_fun(X9,X8),X6),s(X9,X3))))),file('i/f/relation/IDEM0', ah4s_combins_ou_u_THM)).
# SZS output end CNFRefutation
