# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),happ(s(t_fun(t_fun(t_bool,t_fun(t_bool,t_bool)),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_fun(t_bool,t_fun(t_bool,t_bool)),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)))),h4s_numeralu_u_bits_ibitwise),s(t_h4s_nums_num,h4s_nums_0))),s(t_fun(t_bool,t_fun(t_bool,t_bool)),X1))),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/numeral_bit/iBITWISE0_c0', ch4s_numeralu_u_bits_iBITWISE0u_c0)).
fof(26, axiom,![X11]:(s(t_h4s_nums_num,h4s_nums_0)=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X11)))<=>s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/numeral_bit/iBITWISE0_c0', ah4s_numerals_numeralu_u_distribu_c18)).
fof(36, axiom,![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),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,h4s_arithmetics_zero),s(t_h4s_nums_num,X11))),file('i/f/numeral_bit/iBITWISE0_c0', ah4s_numerals_numeralu_u_distribu_c21)).
fof(47, axiom,![X11]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X11),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/numeral_bit/iBITWISE0_c0', ah4s_numerals_numeralu_u_ltu_c2)).
fof(60, axiom,![X11]:(~(s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,h4s_nums_0))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X11))))),file('i/f/numeral_bit/iBITWISE0_c0', ah4s_arithmetics_NOTu_u_ZEROu_u_LTu_u_ZERO)).
fof(69, axiom,![X5]:![X6]:![X21]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),happ(s(t_fun(t_fun(t_bool,t_fun(t_bool,t_bool)),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_fun(t_bool,t_fun(t_bool,t_bool)),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)))),h4s_bits_bitwise),s(t_h4s_nums_num,h4s_nums_0))),s(t_fun(t_bool,t_fun(t_bool,t_bool)),X21))),s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/iBITWISE0_c0', ah4s_bits_BITWISEu_u_defu_c0)).
fof(80, axiom,s(t_fun(t_h4s_nums_num,t_fun(t_fun(t_bool,t_fun(t_bool,t_bool)),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)))),h4s_numeralu_u_bits_ibitwise)=s(t_fun(t_h4s_nums_num,t_fun(t_fun(t_bool,t_fun(t_bool,t_bool)),t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)))),h4s_bits_bitwise),file('i/f/numeral_bit/iBITWISE0_c0', ah4s_numeralu_u_bits_iBITWISEu_u_def)).
# SZS output end CNFRefutation
