# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_strings_char,t_h4s_nums_num),h4s_strings_ord),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))))))))),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_strings_char,t_h4s_nums_num),h4s_combins_fail(s(t_fun(t_h4s_strings_char,t_h4s_nums_num),h4s_strings_ord),s(t_bool,X2))),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X1))))))),file('i/f/string/ORD__CHR__COMPUTE', ch4s_strings_ORDu_u_CHRu_u_COMPUTE)).
fof(25, axiom,![X11]:![X3]:![X4]:s(X11,h4s_bools_cond(s(t_bool,f),s(X11,X4),s(X11,X3)))=s(X11,X3),file('i/f/string/ORD__CHR__COMPUTE', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(26, axiom,![X11]:![X3]:![X4]:s(X11,h4s_bools_cond(s(t_bool,t),s(X11,X4),s(X11,X3)))=s(X11,X4),file('i/f/string/ORD__CHR__COMPUTE', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(28, axiom,![X3]:![X4]:![X22]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X22),s(t_bool,X4),s(t_bool,X3))))<=>((~(p(s(t_bool,X22)))|p(s(t_bool,X4)))&(p(s(t_bool,X22))|p(s(t_bool,X3))))),file('i/f/string/ORD__CHR__COMPUTE', ah4s_bools_CONDu_u_EXPAND)).
fof(42, axiom,![X6]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))))))))))<=>s(t_h4s_nums_num,happ(s(t_fun(t_h4s_strings_char,t_h4s_nums_num),h4s_strings_ord),s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,X6)),file('i/f/string/ORD__CHR__COMPUTE', ah4s_strings_charu_u_BIJu_c1)).
fof(47, axiom,![X26]:?[X6]:(s(t_h4s_strings_char,X26)=s(t_h4s_strings_char,h4s_strings_chr(s(t_h4s_nums_num,X6)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))))))))))))))),file('i/f/string/ORD__CHR__COMPUTE', ah4s_strings_CHRu_u_ONTO)).
fof(51, axiom,![X20]:![X11]:![X13]:![X29]:s(X11,h4s_combins_fail(s(X11,X13),s(X20,X29)))=s(X11,X13),file('i/f/string/ORD__CHR__COMPUTE', ah4s_combins_FAILu_u_DEF)).
fof(55, axiom,![X1]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))))=s(t_bool,t),file('i/f/string/ORD__CHR__COMPUTE', ah4s_numerals_numeralu_u_ltu_c1)).
fof(57, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/string/ORD__CHR__COMPUTE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
