# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/ABS__NEG', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/ABS__NEG', 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/ABS__NEG', aHLu_BOOLu_CASES)).
fof(7, 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__NEG', ah4s_reals_abs0)).
fof(9, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/ABS__NEG', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, 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__NEG', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(13, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,X6),file('i/f/real/ABS__NEG', ah4s_reals_REALu_u_NEGNEG)).
fof(15, axiom,![X8]:![X9]:((p(s(t_bool,X9))=>p(s(t_bool,X8)))=>((p(s(t_bool,X8))=>p(s(t_bool,X9)))=>s(t_bool,X9)=s(t_bool,X8))),file('i/f/real/ABS__NEG', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X7]:![X8]:![X9]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X9),s(X7,X8)))=s(X7,X8),file('i/f/real/ABS__NEG', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(27, axiom,![X6]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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)))))=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,X6))),file('i/f/real/ABS__NEG', ah4s_reals_REALu_u_NEGu_u_LT0)).
fof(34, axiom,![X6]: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_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6)))))=s(t_bool,h4s_realaxs_realu_u_lt(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__NEG', ah4s_reals_REALu_u_NEGu_u_GT0)).
fof(44, 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_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6)))))),file('i/f/real/ABS__NEG', ah4s_reals_realu_u_lte0)).
fof(45, axiom,s(t_h4s_realaxs_real,h4s_realaxs_realu_u_0)=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__NEG', ah4s_reals_REALu_u_0)).
fof(74, axiom,s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/ABS__NEG', ah4s_reals_REALu_u_NEGu_u_0)).
fof(77, axiom,![X10]:![X6]:(s(t_h4s_realaxs_real,X6)=s(t_h4s_realaxs_real,X10)|(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))))|p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6)))))),file('i/f/real/ABS__NEG', ah4s_reals_REALu_u_LTu_u_TOTAL)).
fof(81, 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_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))))|s(t_h4s_realaxs_real,X6)=s(t_h4s_realaxs_real,X10))),file('i/f/real/ABS__NEG', ah4s_reals_REALu_u_LEu_u_LT)).
fof(133, conjecture,![X6]:s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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__NEG', ch4s_reals_ABSu_u_NEG)).
# SZS output end CNFRefutation
