# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(X1,h4s_predu_u_sets_chooser(s(t_fun(X1,t_bool),X2),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))))))=s(X1,h4s_predu_u_sets_chooser(s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),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,X3))))),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/pred_set/chooser__def__compute_c1', ch4s_predu_u_sets_chooseru_u_defu_u_computeu_c1)).
fof(3, axiom,![X1]:![X2]:![X3]:s(X1,h4s_predu_u_sets_chooser(s(t_fun(X1,t_bool),X2),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3)))))=s(X1,h4s_predu_u_sets_chooser(s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2))),s(t_h4s_nums_num,X3))),file('i/f/pred_set/chooser__def__compute_c1', ah4s_predu_u_sets_chooseru_u_defu_c1)).
fof(7, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X8),file('i/f/pred_set/chooser__def__compute_c1', ah4s_arithmetics_SUBu_u_0u_c1)).
fof(8, axiom,![X3]:![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X8)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X8))),file('i/f/pred_set/chooser__def__compute_c1', ah4s_arithmetics_SUBu_u_MONOu_u_EQ)).
fof(9, axiom,![X5]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X5)))=s(t_h4s_nums_num,X5),file('i/f/pred_set/chooser__def__compute_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(10, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/pred_set/chooser__def__compute_c1', ah4s_arithmetics_BIT10)).
fof(11, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/pred_set/chooser__def__compute_c1', ah4s_arithmetics_ALTu_u_ZERO)).
fof(36, axiom,![X3]:s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X3)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X3),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/pred_set/chooser__def__compute_c1', ah4s_arithmetics_BIT20)).
fof(37, axiom,![X3]:![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,X3)))))=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,X3))))),file('i/f/pred_set/chooser__def__compute_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c3)).
fof(38, 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/pred_set/chooser__def__compute_c1', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(41, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/pred_set/chooser__def__compute_c1', ah4s_arithmetics_MULTu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
