# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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,X3))))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))<=>(s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))))))&s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))))))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/arithmetic/NUMERAL__MULT__EQ__DIV_c0', ch4s_arithmetics_NUMERALu_u_MULTu_u_EQu_u_DIVu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/arithmetic/NUMERAL__MULT__EQ__DIV_c0', aHLu_TRUTH)).
fof(4, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/arithmetic/NUMERAL__MULT__EQ__DIV_c0', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(5, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X5),file('i/f/arithmetic/NUMERAL__MULT__EQ__DIV_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(6, axiom,![X6]:![X5]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X6))))),file('i/f/arithmetic/NUMERAL__MULT__EQ__DIV_c0', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(7, axiom,![X6]: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,X6)))))),file('i/f/arithmetic/NUMERAL__MULT__EQ__DIV_c0', ah4s_primu_u_recs_LESSu_u_0)).
fof(8, axiom,![X6]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X6),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/arithmetic/NUMERAL__MULT__EQ__DIV_c0', ah4s_arithmetics_BIT10)).
fof(9, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X3))))=>(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X1)<=>(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,X3)))&s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/arithmetic/NUMERAL__MULT__EQ__DIV_c0', ah4s_arithmetics_MULTu_u_EQu_u_DIV)).
fof(10, 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/arithmetic/NUMERAL__MULT__EQ__DIV_c0', ah4s_arithmetics_NUMERALu_u_DEF)).
# SZS output end CNFRefutation
