# 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_neginf),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X1))))))=>![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,h4s_extreals_neginf),s(t_h4s_extreals_extreal,X2)))))),file('i/f/extreal/inf__lt__infty', ch4s_extreals_infu_u_ltu_u_infty)).
fof(3, 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/inf__lt__infty', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(37, axiom,![X2]:(~(s(t_h4s_extreals_extreal,X2)=s(t_h4s_extreals_extreal,h4s_extreals_neginf))<=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_neginf),s(t_h4s_extreals_extreal,X2))))),file('i/f/extreal/inf__lt__infty', ah4s_extreals_ltu_u_inftyu_c6)).
fof(40, axiom,![X7]:![X2]:(p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,X2),s(t_h4s_extreals_extreal,X7))))<=>~(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,X7),s(t_h4s_extreals_extreal,X2)))))),file('i/f/extreal/inf__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/inf__lt__infty', ah4s_extreals_ltu_u_inftyu_c2)).
fof(62, 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,h4s_extreals_extrealu_u_inf(s(t_fun(t_h4s_extreals_extreal,t_bool),X1))),s(t_h4s_extreals_extreal,X2))))),file('i/f/extreal/inf__lt__infty', ah4s_extreals_infu_u_leu_u_imp)).
# SZS output end CNFRefutation
