# 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_equal)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/toto/cpn2num__thm_c1', ch4s_totos_cpn2numu_u_thmu_c1)).
fof(3, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_ALTu_u_ZERO)).
fof(5, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X5),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(26, axiom,![X10]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),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,X10)))))=s(t_h4s_nums_num,X10)),file('i/f/toto/cpn2num__thm_c1', ah4s_totos_cpnu_u_BIJu_c1)).
fof(30, axiom,![X14]:?[X10]:(s(t_h4s_totos_cpn,X14)=s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,X10)))&p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X10),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_c1', ah4s_totos_num2cpnu_u_ONTO)).
fof(32, axiom,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(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_ONE)).
fof(35, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_EXP0u_c0)).
fof(37, axiom,![X17]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_ADD1)).
fof(39, axiom,![X15]: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,X15)))))=s(t_bool,t),file('i/f/toto/cpn2num__thm_c1', ah4s_numerals_numeralu_u_ltu_c0)).
fof(40, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_BIT10)).
fof(44, axiom,![X15]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/toto/cpn2num__thm_c1', ah4s_nums_NOTu_u_SUC)).
fof(46, axiom,![X15]:![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X15))))),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(49, axiom,![X15]:![X17]:(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))<=>s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,X15)),file('i/f/toto/cpn2num__thm_c1', ah4s_primu_u_recs_INVu_u_SUCu_u_EQ)).
fof(51, axiom,![X15]:![X17]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X15))))&~(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17)))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X17))),s(t_h4s_nums_num,X15))))),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_LESSu_u_NOTu_u_SUC)).
fof(59, axiom,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_c1', ah4s_totos_cpn2numu_u_thmu_c0)).
fof(60, axiom,s(t_h4s_totos_cpn,h4s_totos_equal)=s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/toto/cpn2num__thm_c1', ah4s_totos_EQUALu_u_def)).
fof(75, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_MULTu_c0)).
fof(76, axiom,![X15]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))))),file('i/f/toto/cpn2num__thm_c1', ah4s_arithmetics_BIT20)).
# SZS output end CNFRefutation
