# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/ieee/ccode__case__def_c3', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/ieee/ccode__case__def_c3', 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/ieee/ccode__case__def_c3', aHLu_BOOLu_CASES)).
fof(6, 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/ieee/ccode__case__def_c3', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(7, axiom,![X10]:![X11]:(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,X10)=s(t_h4s_nums_num,X11)),file('i/f/ieee/ccode__case__def_c3', ah4s_numerals_numeralu_u_distribu_c19)).
fof(8, axiom,![X10]:![X11]:s(t_bool,h4s_primu_u_recs_u_3c(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_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),file('i/f/ieee/ccode__case__def_c3', ah4s_numerals_numeralu_u_distribu_c22)).
fof(9, axiom,![X10]:![X11]:(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,X11)))<=>p(s(t_bool,f))),file('i/f/ieee/ccode__case__def_c3', ah4s_numerals_numeralu_u_equ_c4)).
fof(10, axiom,![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))))=s(t_bool,t),file('i/f/ieee/ccode__case__def_c3', ah4s_numerals_numeralu_u_ltu_c0)).
fof(11, axiom,![X10]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/ieee/ccode__case__def_c3', ah4s_numerals_numeralu_u_ltu_c2)).
fof(12, axiom,![X10]:![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X11)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X11))),file('i/f/ieee/ccode__case__def_c3', ah4s_numerals_numeralu_u_ltu_c3)).
fof(13, axiom,![X10]:![X11]:(p(s(t_bool,h4s_primu_u_recs_u_3c(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,X11))))))<=>~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,X10)))))),file('i/f/ieee/ccode__case__def_c3', ah4s_numerals_numeralu_u_ltu_c5)).
fof(14, axiom,s(t_h4s_nums_num,h4s_ieees_ccode2num(s(t_h4s_ieees_ccode,h4s_ieees_un)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(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/ieee/ccode__case__def_c3', ah4s_ieees_ccode2numu_u_thmu_c3)).
fof(15, axiom,![X7]:![X6]:![X12]:![X13]:![X14]:![X15]:?[X16]:((p(s(t_bool,X16))<=>s(t_h4s_nums_num,h4s_ieees_ccode2num(s(t_h4s_ieees_ccode,X6)))=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(X7,h4s_ieees_ccodeu_u_case(s(t_h4s_ieees_ccode,X6),s(X7,X15),s(X7,X14),s(X7,X13),s(X7,X12)))=s(X7,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_ieees_ccode2num(s(t_h4s_ieees_ccode,X6))),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(X7,X15),s(X7,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_ieees_ccode2num(s(t_h4s_ieees_ccode,X6))),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(X7,X14),s(X7,h4s_bools_cond(s(t_bool,X16),s(X7,X13),s(X7,X12)))))))),file('i/f/ieee/ccode__case__def_c3', ah4s_ieees_ccodeu_u_CASE0)).
fof(16, conjecture,![X7]:![X12]:![X13]:![X14]:![X15]:s(X7,h4s_ieees_ccodeu_u_case(s(t_h4s_ieees_ccode,h4s_ieees_un),s(X7,X15),s(X7,X14),s(X7,X13),s(X7,X12)))=s(X7,X12),file('i/f/ieee/ccode__case__def_c3', ch4s_ieees_ccodeu_u_caseu_u_defu_c3)).
# SZS output end CNFRefutation
