# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,p(s(t_bool,h4s_extreals_extrealu_u_lt(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,h4s_extreals_extrealu_u_div(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))),file('i/f/extreal/half__between_c0', ch4s_extreals_halfu_u_betweenu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/extreal/half__between_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/extreal/half__between_c0', aHLu_FALSITY)).
fof(40, axiom,p(s(t_bool,h4s_extreals_extrealu_u_lt(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,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/extreal/half__between_c0', ah4s_extreals_ltu_u_02)).
fof(41, axiom,![X2]:((p(s(t_bool,h4s_extreals_extrealu_u_lt(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))))&~(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,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_div(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_extreals_extreal,X2))))))),file('i/f/extreal/half__between_c0', ah4s_extreals_invu_u_pos)).
fof(44, 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/half__between_c0', ah4s_extreals_ltu_u_inftyu_c5)).
fof(47, axiom,![X8]:p(s(t_bool,h4s_extreals_extrealu_u_lt(s(t_h4s_extreals_extreal,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_extreals_extreal),h4s_extreals_normal),s(t_h4s_realaxs_real,X8))),s(t_h4s_extreals_extreal,h4s_extreals_posinf)))),file('i/f/extreal/half__between_c0', ah4s_extreals_ltu_u_inftyu_c1)).
fof(48, axiom,![X2]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_inv(s(t_h4s_extreals_extreal,X2)))=s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_div(s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_extreals_extreal,X2))),file('i/f/extreal/half__between_c0', ah4s_extreals_invu_u_1over)).
fof(55, axiom,![X16]:s(t_h4s_extreals_extreal,h4s_extreals_extrealu_u_ofu_u_num(s(t_h4s_nums_num,X16)))=s(t_h4s_extreals_extreal,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_extreals_extreal),h4s_extreals_normal),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X16))))),file('i/f/extreal/half__between_c0', ah4s_extreals_extrealu_u_ofu_u_numu_u_def)).
fof(79, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/extreal/half__between_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
