# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X1))),s(t_h4s_extreals_extreal,h4s_extreals_posinf))))=>![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X1),s(t_h4s_extreals_extreal,X2))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))))),file('i/f/extreal/sup__lt__infty', ch4s_extreals_supu_u_ltu_u_infty)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/extreal/sup__lt__infty', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(38, axiom,![X2]:(~(s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,h4s_extreals_posinf))<=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,h4s_extreals_posinf))))),file('i/f/extreal/sup__lt__infty', ah4s_extreals_ltu_u_inftyu_c5)).
fof(39, axiom,![X6]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X6))))<=>~(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X6),s(t_h4s_extreals_extreal,X2)))))),file('i/f/extreal/sup__lt__infty', ah4s_extreals_extrealu_u_ltu_u_def)).
fof(44, axiom,p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_neginf),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))),file('i/f/extreal/sup__lt__infty', ah4s_extreals_ltu_u_inftyu_c2)).
fof(55, axiom,![X2]:![X1]:(p(s(t_bool,happ(s(t_fun(t_h4s_extreals_extreal,t_bool),X1),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,h4s_extreals_extrealu_u_sup(s(t_fun(t_h4s_extreals_extreal,t_bool),X1))))))),file('i/f/extreal/sup__lt__infty', ah4s_extreals_leu_u_supu_u_imp)).
fof(71, axiom,s(t_h4s_extreals_extreal,h4s_extreals_neginf)=s(t_h4s_extreals_extreal,h4s_extreals_u_20u_40indu_u_typeextreal0),file('i/f/extreal/sup__lt__infty', ah4s_extreals_NegInf0)).
# SZS output end CNFRefutation
