# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_max(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))),s(t_h4s_extreals_extreal,X1))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1))))&p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))))),file('i/f/extreal/max__le', ch4s_extreals_maxu_u_le)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/extreal/max__le', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(28, axiom,![X3]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X3)))),file('i/f/extreal/max__le', ah4s_extreals_leu_u_refl)).
fof(29, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),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,X1)))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X1))))),file('i/f/extreal/max__le', ah4s_extreals_leu_u_trans)).
fof(30, axiom,![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),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,X3))))),file('i/f/extreal/max__le', ah4s_extreals_leu_u_total)).
fof(31, axiom,![X2]:![X3]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X3),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,X3)))))<=>s(t_h4s_extreals_extreal,X3)=s(t_h4s_extreals_extreal,X2)),file('i/f/extreal/max__le', ah4s_extreals_leu_u_antisym)).
fof(32, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_max(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2))))))<=>(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X1),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,X2)))))),file('i/f/extreal/max__le', ah4s_extreals_leu_u_max)).
fof(33, axiom,![X2]:![X3]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_max(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2)))=s(t_h4s_extreals_extreal,h4s_bools_cond(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/max__le', ah4s_extreals_extrealu_u_maxu_u_def)).
fof(34, axiom,![X2]:![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_max(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2)))))),file('i/f/extreal/max__le', ah4s_extreals_leu_u_max1)).
fof(35, axiom,![X2]:![X3]:p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_max(s(t_h4s_extreals_extreal,X3),s(t_h4s_extreals_extreal,X2)))))),file('i/f/extreal/max__le', ah4s_extreals_leu_u_max2)).
fof(36, axiom,![X16]:![X4]:![X5]:s(X16,h4s_bools_cond(s(t_bool,t),s(X16,X5),s(X16,X4)))=s(X16,X5),file('i/f/extreal/max__le', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(37, axiom,![X16]:![X4]:![X5]:s(X16,h4s_bools_cond(s(t_bool,f),s(X16,X5),s(X16,X4)))=s(X16,X4),file('i/f/extreal/max__le', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
