# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(8, axiom,![X7]:![X13]:![X14]:![X10]:s(t_h4s_paths_path(X7,X13),h4s_paths_take(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X10))),s(t_h4s_paths_path(X7,X13),X14)))=s(t_h4s_paths_path(X7,X13),h4s_paths_pcons(s(X7,h4s_paths_first(s(t_h4s_paths_path(X7,X13),X14))),s(X13,h4s_paths_firstu_u_label(s(t_h4s_paths_path(X7,X13),X14))),s(t_h4s_paths_path(X7,X13),h4s_paths_take(s(t_h4s_nums_num,X10),s(t_h4s_paths_path(X7,X13),h4s_paths_tail(s(t_h4s_paths_path(X7,X13),X14))))))),file('i/f/path/take__def__compute_c2', ah4s_paths_takeu_u_defu_c1)).
fof(98, axiom,![X10]:![X32]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X32)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X32))))))),file('i/f/path/take__def__compute_c2', ah4s_numerals_numeralu_u_addu_c2)).
fof(100, axiom,![X10]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,X10),file('i/f/path/take__def__compute_c2', ah4s_numerals_numeralu_u_addu_c0)).
fof(101, axiom,![X10]:s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,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/path/take__def__compute_c2', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(110, axiom,![X10]:![X32]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X32)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X32))))))),file('i/f/path/take__def__compute_c2', ah4s_numerals_numeralu_u_distribu_c2)).
fof(133, conjecture,![X7]:![X13]:![X14]:![X10]:s(t_h4s_paths_path(X7,X13),h4s_paths_take(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X10))))),s(t_h4s_paths_path(X7,X13),X14)))=s(t_h4s_paths_path(X7,X13),h4s_paths_pcons(s(X7,h4s_paths_first(s(t_h4s_paths_path(X7,X13),X14))),s(X13,h4s_paths_firstu_u_label(s(t_h4s_paths_path(X7,X13),X14))),s(t_h4s_paths_path(X7,X13),h4s_paths_take(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))))),s(t_h4s_paths_path(X7,X13),h4s_paths_tail(s(t_h4s_paths_path(X7,X13),X14))))))),file('i/f/path/take__def__compute_c2', ch4s_paths_takeu_u_defu_u_computeu_c2)).
# SZS output end CNFRefutation
