# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_primu_u_recs_u_3c(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,X2))))&s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_nums_0))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X2))))),file('i/f/numposrep/DIV__0__IMP__LT', ch4s_numposreps_DIVu_u_0u_u_IMPu_u_LT)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(26, axiom,![X1]:![X18]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X18))))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_NOTu_u_LESS)).
fof(27, axiom,![X1]:![X18]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X1)))))<=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X18))))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_NOTu_u_LESSu_u_EQUAL)).
fof(28, axiom,![X1]:![X18]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X1)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X1))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_LESSu_u_EQ)).
fof(32, axiom,![X1]:![X18]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,X1))))=>p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X1))))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_primu_u_recs_SUCu_u_LESS)).
fof(33, axiom,![X12]:![X9]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X12)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X12),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/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_LEu_u_LT1)).
fof(37, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X18),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(38, 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/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_ONE)).
fof(39, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X18)))=s(t_h4s_nums_num,X18),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
fof(42, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(43, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
fof(53, axiom,![X20]:![X12]:![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X20))))=>s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,X9)))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X20)))))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_DIVu_u_LTu_u_X)).
fof(55, axiom,![X18]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(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,X18)))=s(t_h4s_nums_num,X18),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_arithmetics_MULTu_u_CLAUSESu_c2)).
fof(58, axiom,![X1]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_numerals_numeralu_u_lteu_c1)).
fof(59, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_numerals_numeralu_u_sucu_c0)).
fof(60, axiom,![X1]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),file('i/f/numposrep/DIV__0__IMP__LT', ah4s_numerals_numeralu_u_addu_c6)).
# SZS output end CNFRefutation
