# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_nums_num,h4s_sumu_u_nums_sum(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X1))))),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_sumu_u_nums_sum(s(t_h4s_nums_num,h4s_arithmetics_u_2d(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_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2))),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_nums_num,h4s_arithmetics_u_2d(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_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),file('i/f/sum_num/SUM__def__compute_c1', ch4s_sumu_u_nums_SUMu_u_defu_u_computeu_c1)).
fof(8, 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/sum_num/SUM__def__compute_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(9, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/sum_num/SUM__def__compute_c1', ah4s_arithmetics_ALTu_u_ZERO)).
fof(17, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_sumu_u_nums_sum(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1))),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_sumu_u_nums_sum(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2))),s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_nums_num,X1))))),file('i/f/sum_num/SUM__def__compute_c1', ah4s_sumu_u_nums_SUMu_u_defu_c1)).
fof(19, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/sum_num/SUM__def__compute_c1', ah4s_arithmetics_BIT10)).
fof(21, axiom,![X10]:![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,X10)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X10))))),file('i/f/sum_num/SUM__def__compute_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(23, axiom,![X10]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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,X10))),file('i/f/sum_num/SUM__def__compute_c1', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(26, axiom,![X10]:![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X1))),file('i/f/sum_num/SUM__def__compute_c1', ah4s_arithmetics_ADDu_u_SYM)).
fof(27, axiom,![X10]: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,X10)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X10))),file('i/f/sum_num/SUM__def__compute_c1', ah4s_arithmetics_TIMES2)).
fof(31, axiom,![X10]:![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X1))),file('i/f/sum_num/SUM__def__compute_c1', ah4s_arithmetics_SUBu_u_MONOu_u_EQ)).
fof(32, axiom,![X1]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X1),file('i/f/sum_num/SUM__def__compute_c1', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(35, 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/sum_num/SUM__def__compute_c1', ah4s_arithmetics_ONE)).
fof(38, axiom,![X2]:s(t_h4s_nums_num,h4s_sumu_u_nums_sum(s(t_h4s_nums_num,h4s_nums_0),s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/sum_num/SUM__def__compute_c1', ah4s_sumu_u_nums_SUMu_u_defu_c0)).
# SZS output end CNFRefutation
