# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,X2))))=>?[X3]:?[X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X1),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X2)))))),file('i/f/real/SUP__LEMMA2', ch4s_reals_SUPu_u_LEMMA2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/SUP__LEMMA2', aHLu_TRUTH)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/real/SUP__LEMMA2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X6]:![X5]:![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X5))),s(t_h4s_realaxs_real,X6))),file('i/f/real/SUP__LEMMA2', ah4s_reals_REALu_u_ADDu_u_ASSOC)).
fof(9, axiom,![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,X2),file('i/f/real/SUP__LEMMA2', ah4s_reals_REALu_u_ADDu_u_LID)).
fof(10, axiom,![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_realaxs_real,X2),file('i/f/real/SUP__LEMMA2', ah4s_reals_REALu_u_ADDu_u_RID)).
fof(12, axiom,p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_realaxs_real,h4s_reals_realu_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)))))))))),file('i/f/real/SUP__LEMMA2', ah4s_reals_REALu_u_LTu_u_01)).
fof(14, axiom,![X2]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/SUP__LEMMA2', ah4s_reals_REALu_u_ADDu_u_RINV)).
# SZS output end CNFRefutation
