# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bitstring/length__sign__extend', aHLu_FALSITY)).
fof(5, axiom,![X7]:![X8]:![X9]:s(t_h4s_lists_list(X7),h4s_bitstrings_signu_u_extend(s(t_h4s_nums_num,X9),s(t_h4s_lists_list(X7),X8)))=s(t_h4s_lists_list(X7),h4s_lists_padu_u_left(s(X7,h4s_lists_hd(s(t_h4s_lists_list(X7),X8))),s(t_h4s_nums_num,X9),s(t_h4s_lists_list(X7),X8))),file('i/f/bitstring/length__sign__extend', ah4s_bitstrings_signu_u_extendu_u_def)).
fof(31, axiom,![X25]:![X9]:![X27]:(s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,X25)<=>(s(t_h4s_nums_num,X27)=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X25)))|(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X9))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X25),s(t_h4s_nums_num,h4s_nums_0))))))),file('i/f/bitstring/length__sign__extend', ah4s_arithmetics_SUBu_u_RIGHTu_u_EQ)).
fof(34, axiom,![X9]:![X27]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X9)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X27))),s(t_h4s_nums_num,X9))),file('i/f/bitstring/length__sign__extend', ah4s_arithmetics_LESSu_u_EQ)).
fof(42, axiom,![X9]:![X27]:(~(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X9)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,X27))))),file('i/f/bitstring/length__sign__extend', ah4s_arithmetics_NOTu_u_LEQ)).
fof(44, axiom,![X1]:((p(s(t_bool,X1))=>p(s(t_bool,f)))<=>s(t_bool,X1)=s(t_bool,f)),file('i/f/bitstring/length__sign__extend', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(46, axiom,![X9]:![X27]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X27),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X27))),file('i/f/bitstring/length__sign__extend', ah4s_arithmetics_ADDu_u_SYM)).
fof(57, axiom,![X7]:![X9]:![X4]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X7),X4),s(t_h4s_nums_num,X9)))))=s(t_h4s_nums_num,X9),file('i/f/bitstring/length__sign__extend', ah4s_lists_LENGTHu_u_GENLIST)).
fof(58, axiom,![X7]:![X13]:![X14]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),X14),s(t_h4s_lists_list(X7),X13)))))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X14))),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X13))))),file('i/f/bitstring/length__sign__extend', ah4s_lists_LENGTHu_u_APPEND)).
fof(64, axiom,![X7]:![X28]:![X9]:![X11]:s(t_h4s_lists_list(X7),h4s_lists_padu_u_left(s(X7,X11),s(t_h4s_nums_num,X9),s(t_h4s_lists_list(X7),X28)))=s(t_h4s_lists_list(X7),h4s_lists_append(s(t_h4s_lists_list(X7),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X7),h4s_combins_k(s(X7,X11))),s(t_h4s_nums_num,h4s_arithmetics_u_2d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X28))))))),s(t_h4s_lists_list(X7),X28))),file('i/f/bitstring/length__sign__extend', ah4s_lists_PADu_u_LEFT0)).
fof(133, conjecture,![X7]:![X8]:![X9]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),X8))),s(t_h4s_nums_num,X9))))=>s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X7),h4s_bitstrings_signu_u_extend(s(t_h4s_nums_num,X9),s(t_h4s_lists_list(X7),X8)))))=s(t_h4s_nums_num,X9)),file('i/f/bitstring/length__sign__extend', ch4s_bitstrings_lengthu_u_signu_u_extend)).
# SZS output end CNFRefutation
