# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,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__FACT__NZ', ch4s_reals_REALu_u_FACTu_u_NZ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/REAL__FACT__NZ', aHLu_TRUTH)).
fof(6, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/real/REAL__FACT__NZ', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,X1)))))),file('i/f/real/REAL__FACT__NZ', ah4s_arithmetics_FACTu_u_LESS)).
fof(8, axiom,![X1]:![X3]: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,X3))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X1))),file('i/f/real/REAL__FACT__NZ', ah4s_reals_REALu_u_LT)).
fof(9, axiom,![X4]:(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,X4))))=>~(s(t_h4s_realaxs_real,X4)=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__FACT__NZ', ah4s_reals_REALu_u_POSu_u_NZ)).
# SZS output end CNFRefutation
