# 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,X1),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__max2', ch4s_extreals_leu_u_max2)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/extreal/le__max2', aHLu_FALSITY)).
fof(19, 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__max2', ah4s_extreals_leu_u_refl)).
fof(21, axiom,![X14]:![X1]:![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,X1),s(t_h4s_extreals_extreal,X14)))))=>p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X14))))),file('i/f/extreal/le__max2', ah4s_extreals_leu_u_trans)).
fof(25, axiom,![X1]:![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,X1),s(t_h4s_extreals_extreal,X2))))),file('i/f/extreal/le__max2', ah4s_extreals_leu_u_total)).
fof(30, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/extreal/le__max2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(46, axiom,![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__max2', ah4s_extreals_leu_u_max1)).
fof(47, 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__max2', ah4s_extreals_extrealu_u_maxu_u_def)).
fof(54, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/extreal/le__max2', aHLu_BOOLu_CASES)).
fof(56, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/extreal/le__max2', ah4s_bools_NOTu_u_CLAUSESu_c2)).
fof(66, axiom,![X12]:![X3]:![X4]:s(X12,h4s_bools_cond(s(t_bool,t),s(X12,X4),s(X12,X3)))=s(X12,X4),file('i/f/extreal/le__max2', ah4s_bools_CONDu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
