# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((~(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_nums_0))&(p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),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,X1))))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_pow(s(t_h4s_extreals_extreal,X2),s(t_h4s_nums_num,X3))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_pow(s(t_h4s_extreals_extreal,X1),s(t_h4s_nums_num,X3))))))),file('i/f/extreal/pow__lt2', ch4s_extreals_powu_u_lt2)).
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/pow__lt2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_extreals_extrealu_u_le(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),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,X1)))))=>p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_pow(s(t_h4s_extreals_extreal,X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_pow(s(t_h4s_extreals_extreal,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))))))),file('i/f/extreal/pow__lt2', ah4s_extreals_powu_u_lt)).
fof(25, 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/pow__lt2', ah4s_extreals_ltu_u_inftyu_c2)).
fof(43, axiom,![X16]:(s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_nums_0)|?[X3]:s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))),file('i/f/extreal/pow__lt2', ah4s_arithmetics_numu_u_CASES)).
# SZS output end CNFRefutation
