# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(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,X1))))=>s(t_h4s_realaxs_real,h4s_reals_pos(s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X1)),file('i/f/real/REAL__POS__ID', ch4s_reals_REALu_u_POSu_u_ID)).
fof(7, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/real/REAL__POS__ID', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X3]:![X6]:![X7]:s(X3,h4s_bools_cond(s(t_bool,t),s(X3,X7),s(X3,X6)))=s(X3,X7),file('i/f/real/REAL__POS__ID', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(12, axiom,![X1]:s(t_h4s_realaxs_real,h4s_reals_pos(s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,h4s_reals_realu_u_lte(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,X1))),s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/real/REAL__POS__ID', ah4s_reals_posu_u_def)).
# SZS output end CNFRefutation
