# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/NUM__FLOOR__upper__bound', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/real/NUM__FLOOR__upper__bound', aHLu_BOOLu_CASES)).
fof(5, axiom,![X6]:![X7]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X7)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_reals_numu_u_floor(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),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))))))))))),s(t_h4s_nums_num,X7))),file('i/f/real/NUM__FLOOR__upper__bound', ah4s_reals_NUMu_u_FLOORu_u_LOWERu_u_BOUND)).
fof(16, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/NUM__FLOOR__upper__bound', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(46, axiom,![X7]:![X17]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X7)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X17))))),file('i/f/real/NUM__FLOOR__upper__bound', ah4s_arithmetics_NOTu_u_LESS)).
fof(64, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/real/NUM__FLOOR__upper__bound', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(66, axiom,![X8]:![X6]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X6))))),file('i/f/real/NUM__FLOOR__upper__bound', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(102, axiom,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_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/NUM__FLOOR__upper__bound', ah4s_arithmetics_ONE)).
fof(110, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/real/NUM__FLOOR__upper__bound', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(133, conjecture,![X6]:![X7]: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,X7))),s(t_h4s_realaxs_real,X6)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_reals_numu_u_floor(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),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/NUM__FLOOR__upper__bound', ch4s_reals_NUMu_u_FLOORu_u_upperu_u_bound)).
# SZS output end CNFRefutation
