# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/REAL__POS__POS', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__POS__POS', 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/REAL__POS__POS', aHLu_BOOLu_CASES)).
fof(5, axiom,![X6]:s(t_h4s_realaxs_real,h4s_reals_pos(s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_bools_cond(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,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__POS', ah4s_reals_posu_u_def)).
fof(18, axiom,![X6]:s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_bools_cond(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,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))))),file('i/f/real/REAL__POS__POS', ah4s_reals_abs0)).
fof(32, 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_abs(s(t_h4s_realaxs_real,X6)))))),file('i/f/real/REAL__POS__POS', ah4s_reals_REALu_u_ABSu_u_POS)).
fof(42, axiom,![X6]:(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,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))))),file('i/f/real/REAL__POS__POS', ah4s_reals_ABSu_u_REFL)).
fof(54, axiom,![X7]:![X10]:![X11]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X11),s(X7,X10)))=s(X7,X11),file('i/f/real/REAL__POS__POS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(55, axiom,![X7]:![X10]:![X11]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X11),s(X7,X10)))=s(X7,X10),file('i/f/real/REAL__POS__POS', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(89, axiom,![X16]:![X21]: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,X21))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X16)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X16))),file('i/f/real/REAL__POS__POS', ah4s_reals_REALu_u_LE)).
fof(94, axiom,![X16]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X16)))),file('i/f/real/REAL__POS__POS', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(112, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/real/REAL__POS__POS', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(133, conjecture,![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__POS', ch4s_reals_REALu_u_POSu_u_POS)).
# SZS output end CNFRefutation
