# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_pos(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)))))=s(t_bool,h4s_reals_realu_u_lte(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__LE__ZERO', ch4s_reals_REALu_u_POSu_u_LEu_u_ZERO)).
fof(2, axiom,![X2]:![X3]:((p(s(t_bool,X3))=>p(s(t_bool,X2)))=>((p(s(t_bool,X2))=>p(s(t_bool,X3)))=>s(t_bool,X3)=s(t_bool,X2))),file('i/f/real/REAL__POS__LE__ZERO', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(5, axiom,![X1]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X1)))),file('i/f/real/REAL__POS__LE__ZERO', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(26, axiom,![X6]:![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X6))))<=>~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X1)))))),file('i/f/real/REAL__POS__LE__ZERO', ah4s_reals_realu_u_lte0)).
fof(69, axiom,![X1]:(s(t_h4s_realaxs_real,h4s_reals_pos(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)))<=>p(s(t_bool,h4s_reals_realu_u_lte(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__LE__ZERO', ah4s_reals_REALu_u_POSu_u_EQu_u_ZERO)).
fof(70, axiom,![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__LE__ZERO', ah4s_reals_REALu_u_POSu_u_ID)).
fof(71, axiom,![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,h4s_reals_pos(s(t_h4s_realaxs_real,X1)))))),file('i/f/real/REAL__POS__LE__ZERO', ah4s_reals_REALu_u_POSu_u_POS)).
fof(73, axiom,![X1]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,h4s_reals_pos(s(t_h4s_realaxs_real,X1)))))),file('i/f/real/REAL__POS__LE__ZERO', ah4s_reals_REALu_u_POSu_u_INFLATE)).
fof(74, axiom,p(s(t_bool,t)),file('i/f/real/REAL__POS__LE__ZERO', aHLu_TRUTH)).
fof(75, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__POS__LE__ZERO', aHLu_FALSITY)).
fof(78, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/real/REAL__POS__LE__ZERO', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
