# 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,X1),s(t_h4s_extreals_extreal,X3))))))=>s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X2)))=s(t_h4s_extreals_extreal,X1)),file('i/f/extreal/inf__min', ch4s_extreals_infu_u_min)).
fof(37, 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/inf__min', ah4s_extreals_leu_u_antisym)).
fof(52, axiom,![X3]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X2))))))<=>![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,X3),s(t_h4s_extreals_extreal,X9)))))),file('i/f/extreal/inf__min', ah4s_extreals_leu_u_inf)).
fof(54, 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,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X2))),s(t_h4s_extreals_extreal,X3))))),file('i/f/extreal/inf__min', ah4s_extreals_infu_u_leu_u_imp)).
# SZS output end CNFRefutation
