# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(6, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,X7),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/numeral/numeral__div2_c2', ah4s_arithmetics_DIV2u_u_def)).
fof(10, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,X6),file('i/f/numeral/numeral__div2_c2', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(11, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__div2_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(12, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X8),file('i/f/numeral/numeral__div2_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(13, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),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/numeral/numeral__div2_c2', ah4s_arithmetics_BIT20)).
fof(20, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__div2_c2', ah4s_arithmetics_ALTu_u_ZERO)).
fof(27, axiom,![X16]:![X10]:![X6]:(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X6))))),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X16)))<=>(s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X6)))))))&s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X16))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X6)))))))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/numeral/numeral__div2_c2', ah4s_arithmetics_NUMERALu_u_MULTu_u_EQu_u_DIVu_c1)).
fof(50, axiom,![X7]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__div2_c2', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(83, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X8),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/numeral/numeral__div2_c2', ah4s_arithmetics_EXP0u_c0)).
fof(87, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__div2_c2', ah4s_primu_u_recs_PRE0u_c0)).
fof(101, axiom,![X7]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X7))),file('i/f/numeral/numeral__div2_c2', ah4s_arithmetics_TIMES2)).
fof(103, axiom,![X7]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X7)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7))),file('i/f/numeral/numeral__div2_c2', ah4s_numerals_numeralu_u_sucu_c1)).
fof(111, 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/numeral/numeral__div2_c2', ah4s_numerals_numeralu_u_sucu_c0)).
fof(128, axiom,![X7]:s(t_h4s_nums_num,h4s_numerals_iisuc(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__div2_c2', ah4s_numerals_iiSUC0)).
fof(133, conjecture,![X7]:s(t_h4s_nums_num,h4s_arithmetics_div2(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X7)))))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7))))),file('i/f/numeral/numeral__div2_c2', ch4s_numerals_numeralu_u_div2u_c2)).
# SZS output end CNFRefutation
