# 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(21, 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(22, axiom,![X20]:![X3]:![X4]:(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,X4))))),s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X20)))<=>(s(t_h4s_nums_num,X3)=s(t_h4s_nums_num,h4s_arithmetics_div(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))))))&s(t_h4s_nums_num,h4s_arithmetics_mod(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X20))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X4)))))))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_NUMERALu_u_MULTu_u_EQu_u_DIVu_c0)).
fof(27, axiom,![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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))),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,X1))),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_TIMES2)).
fof(28, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
fof(30, axiom,![X1]:![X21]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X21),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,X21),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X21),s(t_h4s_nums_num,X1))))),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_EXP0u_c1)).
fof(31, 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(34, 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__fact_c1', ah4s_primu_u_recs_PRE0u_c0)).
fof(35, axiom,![X21]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21)))))=s(t_h4s_nums_num,X21),file('i/f/numeral/numeral__fact_c1', ah4s_primu_u_recs_PRE0u_c1)).
fof(37, axiom,![X1]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))),file('i/f/numeral/numeral__fact_c1', ah4s_numerals_numeralu_u_preu_c4)).
fof(38, axiom,![X1]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))))),file('i/f/numeral/numeral__fact_c1', ah4s_numerals_numeralu_u_preu_c2)).
fof(41, axiom,s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/numeral/numeral__fact_c1', ah4s_numerals_numeralu_u_preu_c1)).
fof(46, axiom,![X4]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X4)))=s(t_h4s_nums_num,X4),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(49, 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/numeral/numeral__fact_c1', ah4s_arithmetics_ONE)).
fof(50, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_exp(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,h4s_arithmetics_zero)))))))=s(t_h4s_nums_num,X1),file('i/f/numeral/numeral__fact_c1', ah4s_arithmetics_EXPu_u_1u_c1)).
fof(52, axiom,![X21]:s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X21),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_EXP0u_c0)).
fof(53, axiom,![X21]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X21)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X21),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_ADD1)).
fof(57, axiom,![X21]:(s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,h4s_nums_0)|?[X1]:s(t_h4s_nums_num,X21)=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(61, axiom,![X1]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/numeral/numeral__fact_c1', ah4s_nums_NOTu_u_SUC)).
# SZS output end CNFRefutation
