# 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_inf(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/inf__const', ch4s_extreals_infu_u_const)).
fof(7, axiom,![X2]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X2)))),file('i/f/extreal/inf__const', ah4s_extreals_leu_u_refl)).
fof(8, axiom,![X2]:![X13]:(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X13)))=s(t_h4s_extreals_extreal,X2)<=>(![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X13),s(t_h4s_extreals_extreal,X3))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X3)))))&![X3]:(![X14]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X13),s(t_h4s_extreals_extreal,X14))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X14)))))=>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/inf__const', ah4s_extreals_infu_u_eq)).
# SZS output end CNFRefutation
