# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,~(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/float/not2eqz', ch4s_floats_not2eqz)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/float/not2eqz', aHLu_FALSITY)).
fof(8, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/float/not2eqz', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(19, axiom,![X4]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))=s(t_h4s_realaxs_real,X4),file('i/f/float/not2eqz', ah4s_reals_REALu_u_MULu_u_RID)).
fof(23, axiom,![X10]:![X11]: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,X11))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X10)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))),file('i/f/float/not2eqz', ah4s_reals_REALu_u_OFu_u_NUMu_u_LE)).
fof(24, axiom,![X10]:![X11]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X11))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X10)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10))))),file('i/f/float/not2eqz', ah4s_reals_REALu_u_OFu_u_NUMu_u_MUL)).
fof(26, axiom,![X10]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X10)))),file('i/f/float/not2eqz', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(27, axiom,![X10]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/float/not2eqz', ah4s_arithmetics_LEu_c0)).
fof(28, axiom,![X10]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/float/not2eqz', ah4s_numerals_numeralu_u_distribu_c17)).
fof(29, axiom,![X10]:![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X11)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))))),file('i/f/float/not2eqz', ah4s_numerals_numeralu_u_distribu_c5)).
fof(30, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/float/not2eqz', ah4s_numerals_numeralu_u_multu_c0)).
fof(36, axiom,![X10]:(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/float/not2eqz', ah4s_numerals_numeralu_u_equ_c3)).
fof(37, axiom,![X10]:s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,X10))))),file('i/f/float/not2eqz', ah4s_numerals_iDUBu_u_removalu_c0)).
fof(38, axiom,![X10]:![X11]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),s(t_h4s_nums_num,X11))))))),file('i/f/float/not2eqz', ah4s_numerals_numeralu_u_multu_c3)).
fof(39, axiom,![X10]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,X10),file('i/f/float/not2eqz', ah4s_numerals_numeralu_u_addu_c0)).
fof(40, axiom,s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/float/not2eqz', ah4s_numerals_iDUBu_u_removalu_c2)).
fof(41, axiom,p(s(t_bool,t)),file('i/f/float/not2eqz', aHLu_TRUTH)).
fof(47, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/float/not2eqz', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(49, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/float/not2eqz', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
