# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_nums_num,h4s_numeralu_u_bits_sfunpow(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2))),s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ch4s_numeralu_u_bits_NUMERALu_u_SFUNPOWu_u_FDUBu_c1)).
fof(6, axiom,![X9]:(s(t_h4s_nums_num,X9)=s(t_h4s_nums_num,h4s_nums_0)|?[X7]:s(t_h4s_nums_num,X9)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ah4s_arithmetics_numu_u_CASES)).
fof(8, axiom,![X4]:![X7]:![X2]:?[X10]:((p(s(t_bool,X10))<=>s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_nums_num,h4s_numeralu_u_bits_sfunpow(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,X10),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_numeralu_u_bits_sfunpow(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_nums_num,X7),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_nums_num,X4)))))))),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ah4s_numeralu_u_bits_SFUNPOWu_u_defu_c1)).
fof(9, axiom,![X4]:![X2]:s(t_h4s_nums_num,h4s_numeralu_u_bits_sfunpow(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ah4s_numeralu_u_bits_SFUNPOWu_u_defu_c0)).
fof(11, axiom,![X2]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_numeralu_u_bits_fdub(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ah4s_numeralu_u_bits_FDUBu_u_defu_c0)).
fof(26, axiom,![X7]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ah4s_primu_u_recs_LESSu_u_SUCu_u_REFL)).
fof(27, axiom,![X17]:![X18]:((p(s(t_bool,X18))=>p(s(t_bool,X17)))=>((p(s(t_bool,X17))=>p(s(t_bool,X18)))=>s(t_bool,X18)=s(t_bool,X17))),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(52, axiom,![X3]:![X17]:![X18]:s(X3,h4s_bools_cond(s(t_bool,t),s(X3,X18),s(X3,X17)))=s(X3,X18),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(56, axiom,![X17]:![X18]:![X28]:(p(s(t_bool,h4s_bools_cond(s(t_bool,X28),s(t_bool,X18),s(t_bool,X17))))<=>((~(p(s(t_bool,X28)))|p(s(t_bool,X18)))&(p(s(t_bool,X28))|p(s(t_bool,X17))))),file('i/f/numeral_bit/NUMERAL__SFUNPOW__FDUB_c1', ah4s_bools_CONDu_u_EXPAND)).
# SZS output end CNFRefutation
