# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),happ(s(t_fun(t_h4s_extreals_extreal,t_fun(t_h4s_extreals_extreal,t_bool)),X1),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,X3))))<=>s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,X2))=>![X2]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),happ(s(t_fun(t_h4s_extreals_extreal,t_fun(t_h4s_extreals_extreal,t_bool)),X1),s(t_h4s_extreals_extreal,X2)))))=s(t_h4s_extreals_extreal,X2)),file('i/f/extreal/sup__const', ch4s_extreals_supu_u_const)).
fof(4, axiom,![X2]:![X5]:(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),X5))),s(t_h4s_extreals_extreal,X2))))<=>![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X5),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,X2)))))),file('i/f/extreal/sup__const', ah4s_extreals_supu_u_le)).
fof(7, axiom,![X2]:![X5]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X5),s(t_h4s_extreals_extreal,X2))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X5))))))),file('i/f/extreal/sup__const', ah4s_extreals_leu_u_supu_u_imp)).
fof(38, axiom,![X3]:![X2]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,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,X2)))))<=>s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,X3)),file('i/f/extreal/sup__const', ah4s_extreals_leu_u_antisym)).
# SZS output end CNFRefutation
