# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:~(s(t_h4s_binaryu_u_ieees_floatu_u_value,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_binaryu_u_ieees_floatu_u_value),h4s_binaryu_u_ieees_float),s(t_h4s_realaxs_real,X1)))=s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_nan)),file('i/f/binary_ieee/float__value__distinct_c1', ch4s_binaryu_u_ieees_floatu_u_valueu_u_distinctu_c1)).
fof(10, axiom,s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_nan)=s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_u_20u_40indu_u_typebinaryu_u_ieee5),file('i/f/binary_ieee/float__value__distinct_c1', ah4s_binaryu_u_ieees_NaN0)).
fof(12, axiom,![X10]:![X18]:![X19]:![X4]:s(X10,h4s_binaryu_u_ieees_floatu_u_valueu_u_case(s(t_h4s_binaryu_u_ieees_floatu_u_value,h4s_binaryu_u_ieees_nan),s(t_fun(t_h4s_realaxs_real,X10),X4),s(X10,X19),s(X10,X18)))=s(X10,X18),file('i/f/binary_ieee/float__value__distinct_c1', ah4s_binaryu_u_ieees_floatu_u_valueu_u_caseu_u_defu_c2)).
fof(23, axiom,s(t_fun(t_h4s_realaxs_real,t_h4s_binaryu_u_ieees_floatu_u_value),h4s_binaryu_u_ieees_float)=s(t_fun(t_h4s_realaxs_real,t_h4s_binaryu_u_ieees_floatu_u_value),h4s_binaryu_u_ieees_u_20u_40indu_u_typebinaryu_u_ieee3),file('i/f/binary_ieee/float__value__distinct_c1', ah4s_binaryu_u_ieees_Float0)).
fof(24, axiom,![X10]:![X18]:![X19]:![X4]:![X1]:s(X10,h4s_binaryu_u_ieees_floatu_u_valueu_u_case(s(t_h4s_binaryu_u_ieees_floatu_u_value,happ(s(t_fun(t_h4s_realaxs_real,t_h4s_binaryu_u_ieees_floatu_u_value),h4s_binaryu_u_ieees_float),s(t_h4s_realaxs_real,X1))),s(t_fun(t_h4s_realaxs_real,X10),X4),s(X10,X19),s(X10,X18)))=s(X10,happ(s(t_fun(t_h4s_realaxs_real,X10),X4),s(t_h4s_realaxs_real,X1))),file('i/f/binary_ieee/float__value__distinct_c1', ah4s_binaryu_u_ieees_floatu_u_valueu_u_caseu_u_defu_c0)).
fof(26, axiom,![X11]:![X6]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11))))=>~(s(t_h4s_realaxs_real,X6)=s(t_h4s_realaxs_real,X11))),file('i/f/binary_ieee/float__value__distinct_c1', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
fof(66, axiom,p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_transcs_pi),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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/binary_ieee/float__value__distinct_c1', ah4s_transcs_PI2u_u_BOUNDSu_c1)).
# SZS output end CNFRefutation
