# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))=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,X1))))),s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))))))))),file('i/f/numeral/numeral__fact_c1', ch4s_numerals_numeralu_u_factu_c1)).
fof(6, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X4),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c2)).
fof(8, axiom,![X1]:![X4]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(9, axiom,![X4]:(s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_0)|?[X1]:s(t_h4s_nums_num,X4)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_numu_u_CASES)).
fof(10, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,h4s_arithmetics_fact(s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_FACT0u_c1)).
fof(11, axiom,s(t_h4s_nums_num,h4s_arithmetics_fact(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__fact_c1', ah4s_arithmetics_FACT0u_c0)).
fof(12, axiom,![X4]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))))=s(t_h4s_nums_num,X4),file('i/f/numeral/numeral__fact_c1', ah4s_primu_u_recs_PRE0u_c1)).
fof(13, 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/numeral/numeral__fact_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(14, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_BIT10)).
# SZS output end CNFRefutation
