# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/REAL__POS__EQ__ZERO', aHLu_TRUTH)).
fof(10, axiom,![X6]:(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,X6))))=>s(t_h4s_realaxs_real,h4s_reals_pos(s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,X6)),file('i/f/real/REAL__POS__EQ__ZERO', ah4s_reals_REALu_u_POSu_u_ID)).
fof(11, axiom,![X6]: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,h4s_reals_pos(s(t_h4s_realaxs_real,X6)))))),file('i/f/real/REAL__POS__EQ__ZERO', ah4s_reals_REALu_u_POSu_u_POS)).
fof(12, axiom,![X6]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_pos(s(t_h4s_realaxs_real,X6)))))),file('i/f/real/REAL__POS__EQ__ZERO', ah4s_reals_REALu_u_POSu_u_INFLATE)).
fof(13, axiom,![X8]:![X6]:(p(s(t_bool,h4s_reals_realu_u_lte(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,h4s_reals_pos(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_reals_pos(s(t_h4s_realaxs_real,X8))))))),file('i/f/real/REAL__POS__EQ__ZERO', ah4s_reals_REALu_u_POSu_u_MONO)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/REAL__POS__EQ__ZERO', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X8]:![X6]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))))<=>~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X6)))))),file('i/f/real/REAL__POS__EQ__ZERO', ah4s_reals_realu_u_lte0)).
fof(22, axiom,![X6]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X6)))),file('i/f/real/REAL__POS__EQ__ZERO', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(109, axiom,![X8]:![X6]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))))<=>(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))))|s(t_h4s_realaxs_real,X6)=s(t_h4s_realaxs_real,X8))),file('i/f/real/REAL__POS__EQ__ZERO', ah4s_reals_REALu_u_LEu_u_LT)).
fof(133, conjecture,![X6]:(s(t_h4s_realaxs_real,h4s_reals_pos(s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),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__EQ__ZERO', ch4s_reals_REALu_u_POSu_u_EQu_u_ZERO)).
# SZS output end CNFRefutation
