# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/ABS__LE', aHLu_TRUTH)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/real/ABS__LE', aHLu_BOOLu_CASES)).
fof(6, 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/ABS__LE', ah4s_reals_abs0)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/ABS__LE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, 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/ABS__LE', ah4s_reals_ABSu_u_POS)).
fof(10, axiom,![X7]:![X8]:![X9]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X9),s(X7,X8)))=s(X7,X9),file('i/f/real/ABS__LE', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(35, 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/ABS__LE', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(79, axiom,![X10]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6))),file('i/f/real/ABS__LE', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(89, axiom,![X11]:![X10]:![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X11)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11))))),file('i/f/real/ABS__LE', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(98, axiom,![X10]:![X6]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))))|p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6))))),file('i/f/real/ABS__LE', ah4s_reals_REALu_u_LEu_u_TOTAL)).
fof(116, axiom,![X10]:![X6]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X10))))),file('i/f/real/ABS__LE', ah4s_reals_realu_u_sub0)).
fof(118, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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/ABS__LE', ah4s_reals_REALu_u_ADDu_u_LINV)).
fof(126, axiom,![X1]:(s(t_bool,X1)=s(t_bool,f)<=>~(p(s(t_bool,X1)))),file('i/f/real/ABS__LE', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(133, conjecture,![X6]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X6)))))),file('i/f/real/ABS__LE', ch4s_reals_ABSu_u_LE)).
# SZS output end CNFRefutation
