# 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_greater)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/toto/cpn2num__thm_c2', ch4s_totos_cpn2numu_u_thmu_c2)).
fof(4, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,X3),file('i/f/toto/cpn2num__thm_c2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(6, axiom,![X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),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,X5)))))=s(t_h4s_nums_num,X5)),file('i/f/toto/cpn2num__thm_c2', ah4s_totos_cpnu_u_BIJu_c1)).
fof(11, axiom,s(t_h4s_totos_cpn,h4s_totos_greater)=s(t_h4s_totos_cpn,h4s_totos_num2cpn(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/toto/cpn2num__thm_c2', ah4s_totos_GREATERu_u_def)).
fof(35, 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_c2', ah4s_numerals_numeralu_u_ltu_c0)).
fof(37, axiom,![X16]:![X17]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X17)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X17))),file('i/f/toto/cpn2num__thm_c2', ah4s_numerals_numeralu_u_ltu_c3)).
fof(41, axiom,![X16]:![X17]:((p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X16))))&~(s(t_h4s_nums_num,X16)=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,X16))))),file('i/f/toto/cpn2num__thm_c2', ah4s_arithmetics_LESSu_u_NOTu_u_SUC)).
fof(47, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)<=>p(s(t_bool,X10))),file('i/f/toto/cpn2num__thm_c2', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(54, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/toto/cpn2num__thm_c2', ah4s_arithmetics_ALTu_u_ZERO)).
fof(55, 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_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(63, axiom,![X17]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X17)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/toto/cpn2num__thm_c2', ah4s_arithmetics_MULTu_u_CLAUSESu_c0)).
fof(64, axiom,![X12]:![X16]:![X17]:(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X17),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X12)))<=>s(t_h4s_nums_num,X17)=s(t_h4s_nums_num,X16)),file('i/f/toto/cpn2num__thm_c2', ah4s_arithmetics_EQu_u_MONOu_u_ADDu_u_EQ)).
fof(66, axiom,![X16]:s(t_h4s_nums_num,h4s_arithmetics_bit2(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_suc(s(t_h4s_nums_num,h4s_nums_0))))))))),file('i/f/toto/cpn2num__thm_c2', ah4s_arithmetics_BIT20)).
fof(68, 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_c2', ah4s_arithmetics_BIT10)).
fof(71, axiom,![X16]:~(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_c2', ah4s_arithmetics_SUCu_u_NOT)).
fof(72, 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_c2', ah4s_arithmetics_ADD1)).
fof(73, axiom,![X16]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X16)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X16))),file('i/f/toto/cpn2num__thm_c2', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
# SZS output end CNFRefutation
