# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),X1))),s(t_h4s_nums_num,X2))))=>s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),h4s_bitstrings_zerou_u_extend(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(t_bool),X1)))))=s(t_h4s_nums_num,X2)),file('i/f/bitstring/length__zero__extend', ch4s_bitstrings_lengthu_u_zerou_u_extend)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/bitstring/length__zero__extend', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X1]:![X2]:s(t_h4s_lists_list(t_bool),h4s_bitstrings_zerou_u_extend(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(t_bool),X1)))=s(t_h4s_lists_list(t_bool),h4s_lists_padu_u_left(s(t_bool,f),s(t_h4s_nums_num,X2),s(t_h4s_lists_list(t_bool),X1))),file('i/f/bitstring/length__zero__extend', ah4s_bitstrings_zerou_u_extendu_u_def)).
fof(11, axiom,![X4]:![X5]:![X2]:![X12]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X4),h4s_lists_padu_u_left(s(X4,X5),s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X4),X12)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X4),X12))),s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X2),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X4),X12))))),file('i/f/bitstring/length__zero__extend', ah4s_bitstrings_lengthu_u_padu_u_left)).
fof(15, axiom,![X4]:![X8]:![X9]:s(X4,h4s_bools_cond(s(t_bool,t),s(X4,X9),s(X4,X8)))=s(X4,X9),file('i/f/bitstring/length__zero__extend', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
# SZS output end CNFRefutation
