# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2a),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2a),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2))))))),file('i/f/numRing/num__rewrites_c71', ch4s_numRings_numu_u_rewritesu_c71)).
fof(8, axiom,![X1]:![X2]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2a),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2))))),s(t_h4s_nums_num,X1)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2a),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X1))),file('i/f/numRing/num__rewrites_c71', ah4s_arithmetics_MULTu_u_CLAUSESu_c4)).
fof(9, axiom,![X1]:![X2]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X2),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,X2))),file('i/f/numRing/num__rewrites_c71', ah4s_arithmetics_ADDu_u_SYM)).
fof(34, axiom,![X1]:![X2]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2a),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X1))))),s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_nums_num)),h4s_arithmetics_u_2a),s(t_h4s_nums_num,X1))),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2))))))),file('i/f/numRing/num__rewrites_c71', ah4s_numerals_numeralu_u_multu_c3)).
fof(48, axiom,![X7]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,X7),file('i/f/numRing/num__rewrites_c71', ah4s_numerals_iZ0)).
# SZS output end CNFRefutation
