# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![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_max(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))))),file('i/f/extreal/le__max1', ch4s_extreals_leu_u_max1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/extreal/le__max1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/extreal/le__max1', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/extreal/le__max1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(47, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/extreal/le__max1', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(55, 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/le__max1', ah4s_extreals_leu_u_refl)).
fof(66, axiom,![X11]:![X1]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X11),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_max(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,X11),s(t_h4s_extreals_extreal,X2))))|p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X11),s(t_h4s_extreals_extreal,X1)))))),file('i/f/extreal/le__max1', ah4s_extreals_leu_u_max)).
fof(67, axiom,![X1]:![X2]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_max(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1)))=s(t_h4s_extreals_extreal,h4s_bools_cond(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X1))),s(t_h4s_extreals_extreal,X1),s(t_h4s_extreals_extreal,X2))),file('i/f/extreal/le__max1', ah4s_extreals_extrealu_u_maxu_u_def)).
fof(69, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/extreal/le__max1', aHLu_BOOLu_CASES)).
fof(71, 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/le__max1', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
