# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(~(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_realaxs_realu_u_lt(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,X1))))))),file('i/f/real/ABS__NZ', ch4s_reals_ABSu_u_NZ)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/real/ABS__NZ', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/real/ABS__NZ', aHLu_FALSITY)).
fof(19, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/real/ABS__NZ', aHLu_BOOLu_CASES)).
fof(21, axiom,![X1]:~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X1))))),file('i/f/real/ABS__NZ', ah4s_reals_REALu_u_LTu_u_REFL)).
fof(22, axiom,![X11]:![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))<=>(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))|s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X11))),file('i/f/real/ABS__NZ', ah4s_reals_REALu_u_LEu_u_LT)).
fof(24, axiom,![X1]:(s(t_h4s_realaxs_real,h4s_reals_abs(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_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/ABS__NZ', ah4s_reals_ABSu_u_ZERO)).
fof(25, 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_abs(s(t_h4s_realaxs_real,X1)))))),file('i/f/real/ABS__NZ', ah4s_reals_ABSu_u_POS)).
# SZS output end CNFRefutation
