# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_reals_numu_u_floor(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X1),file('i/f/real/NUM__FLOOR__EQNS_c0', ch4s_reals_NUMu_u_FLOORu_u_EQNSu_c0)).
fof(3, axiom,![X3]:![X4]:(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,X3))))=>s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_reals_numu_u_floor(s(t_h4s_realaxs_real,X3)))))=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,X4))),s(t_h4s_realaxs_real,X3)))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_reals_NUMu_u_FLOORu_u_LE2)).
fof(9, axiom,![X3]:![X4]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X4))))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(10, axiom,![X1]:![X5]: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,X5))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_reals_REALu_u_LE)).
fof(15, axiom,![X3]:![X4]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3))))<=>(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X3))))&~(s(t_h4s_realaxs_real,X4)=s(t_h4s_realaxs_real,X3)))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_reals_REALu_u_LTu_u_LE)).
fof(27, axiom,![X13]:![X14]:((p(s(t_bool,X14))=>p(s(t_bool,X13)))=>((p(s(t_bool,X13))=>p(s(t_bool,X14)))=>s(t_bool,X14)=s(t_bool,X13))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(34, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_numerals_numeralu_u_lteu_c1)).
fof(35, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_numerals_numeralu_u_distribu_c27)).
fof(36, axiom,![X9]:![X1]:![X5]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X9)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X9))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
fof(38, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(40, axiom,![X1]:![X5]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X5))))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_arithmetics_NOTu_u_LEQ)).
fof(42, axiom,![X1]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X1)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_arithmetics_LESSu_u_EQu_u_0)).
fof(43, axiom,![X1]:![X5]:(~(s(t_h4s_nums_num,X5)=s(t_h4s_nums_num,X1))<=>(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X1))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X5)))))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_arithmetics_NOTu_u_NUMu_u_EQ)).
fof(44, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X5),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(49, axiom,![X1]:![X5]: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,X5))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1))))),file('i/f/real/NUM__FLOOR__EQNS_c0', ah4s_reals_REALu_u_ADD)).
fof(59, axiom,![X5]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),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/NUM__FLOOR__EQNS_c0', ah4s_arithmetics_ADD1)).
# SZS output end CNFRefutation
