# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_nums_num,h4s_totos_cpn2num(s(t_h4s_totos_cpn,h4s_totos_less)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/toto/cpn2num__thm_c0', ch4s_totos_cpn2numu_u_thmu_c0)).
fof(35, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,X17),file('i/f/toto/cpn2num__thm_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(42, axiom,![X16]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16)))))),file('i/f/toto/cpn2num__thm_c0', ah4s_primu_u_recs_LESSu_u_0)).
fof(43, axiom,![X16]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/toto/cpn2num__thm_c0', ah4s_arithmetics_BIT10)).
fof(48, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/toto/cpn2num__thm_c0', ah4s_arithmetics_ALTu_u_ZERO)).
fof(57, axiom,![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),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))))))))))<=>s(t_h4s_nums_num,h4s_totos_cpn2num(s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,X4)),file('i/f/toto/cpn2num__thm_c0', ah4s_totos_cpnu_u_BIJu_c1)).
fof(59, axiom,![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),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))))))))))<=>?[X19]:s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_totos_cpn2num(s(t_h4s_totos_cpn,X19)))),file('i/f/toto/cpn2num__thm_c0', ah4s_totos_cpn2numu_u_ONTO)).
fof(62, axiom,s(t_h4s_totos_cpn,h4s_totos_less)=s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/toto/cpn2num__thm_c0', ah4s_totos_LESSu_u_def)).
fof(64, axiom,![X19]:?[X4]:(s(t_h4s_totos_cpn,X19)=s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,X4)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X4),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/toto/cpn2num__thm_c0', ah4s_totos_num2cpnu_u_ONTO)).
fof(66, axiom,![X16]: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,X16)))))=s(t_bool,t),file('i/f/toto/cpn2num__thm_c0', ah4s_numerals_numeralu_u_ltu_c0)).
fof(70, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,X12),file('i/f/toto/cpn2num__thm_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
# SZS output end CNFRefutation
