# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_extreals_extreal,X1))))&![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_extreals_extreal,X3))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1))))))=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X2)))=s(t_h4s_extreals_extreal,X1)),file('i/f/extreal/sup__max', ch4s_extreals_supu_u_max)).
fof(37, axiom,![X3]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X2))),s(t_h4s_extreals_extreal,X3))))<=>![X9]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_extreals_extreal,X9))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X9),s(t_h4s_extreals_extreal,X3)))))),file('i/f/extreal/sup__max', ah4s_extreals_supu_u_le)).
fof(38, axiom,![X3]:![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X2),s(t_h4s_extreals_extreal,X3))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X2))))))),file('i/f/extreal/sup__max', ah4s_extreals_leu_u_supu_u_imp)).
fof(50, axiom,![X9]:![X3]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X9))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X9),s(t_h4s_extreals_extreal,X3)))))<=>s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,X9)),file('i/f/extreal/sup__max', ah4s_extreals_leu_u_antisym)).
fof(77, axiom,p(s(t_bool,t)),file('i/f/extreal/sup__max', aHLu_TRUTH)).
fof(78, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)|s(t_bool,X12)=s(t_bool,f)),file('i/f/extreal/sup__max', aHLu_BOOLu_CASES)).
fof(80, axiom,![X12]:(s(t_bool,X12)=s(t_bool,t)<=>p(s(t_bool,X12))),file('i/f/extreal/sup__max', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
