# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_encodevars_fixedu_u_width(s(t_h4s_nums_num,X2),s(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,t_bool),t_h4s_pairs_prod(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_lists_list(t_bool)))))),h4s_coders_bnumu_u_coder(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1)))))),file('i/f/EncodeVar/fixed__width__bnum', ch4s_EncodeVars_fixedu_u_widthu_u_bnum)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/EncodeVar/fixed__width__bnum', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/EncodeVar/fixed__width__bnum', aHLu_FALSITY)).
fof(11, axiom,![X3]:![X12]:![X13]:(p(s(t_bool,h4s_encodevars_fixedu_u_width(s(t_h4s_nums_num,X12),s(t_h4s_pairs_prod(t_fun(X3,t_bool),t_h4s_pairs_prod(t_fun(X3,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))))),X13))))<=>![X5]:(p(s(t_bool,h4s_coders_domain(s(t_h4s_pairs_prod(t_fun(X3,t_bool),t_h4s_pairs_prod(t_fun(X3,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))))),X13),s(X3,X5))))=>s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),happ(s(t_fun(X3,t_h4s_lists_list(t_bool)),h4s_coders_encoder(s(t_h4s_pairs_prod(t_fun(X3,t_bool),t_h4s_pairs_prod(t_fun(X3,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))))),X13))),s(X3,X5)))))=s(t_h4s_nums_num,X12))),file('i/f/EncodeVar/fixed__width__bnum', ah4s_EncodeVars_fixedu_u_widthu_u_def)).
fof(12, axiom,![X1]:![X2]:s(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,t_bool),t_h4s_pairs_prod(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_lists_list(t_bool)))))),h4s_coders_bnumu_u_coder(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1)))=s(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,t_bool),t_h4s_pairs_prod(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_lists_list(t_bool)))))),h4s_pairs_u_2c(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_h4s_pairs_prod(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_lists_list(t_bool))))),h4s_pairs_u_2c(s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X2))),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_bnum(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))))),file('i/f/EncodeVar/fixed__width__bnum', ah4s_Coders_bnumu_u_coderu_u_def)).
fof(14, axiom,![X12]:![X2]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X2))),s(t_h4s_nums_num,X12)))))=s(t_h4s_nums_num,X2),file('i/f/EncodeVar/fixed__width__bnum', ah4s_Encodes_encodeu_u_bnumu_u_length)).
fof(15, axiom,![X3]:![X1]:![X18]:![X19]:s(t_fun(X3,t_h4s_lists_list(t_bool)),h4s_coders_encoder(s(t_h4s_pairs_prod(t_fun(X3,t_bool),t_h4s_pairs_prod(t_fun(X3,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))))),h4s_pairs_u_2c(s(t_fun(X3,t_bool),X1),s(t_h4s_pairs_prod(t_fun(X3,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool))))),h4s_pairs_u_2c(s(t_fun(X3,t_h4s_lists_list(t_bool)),X18),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))),X19)))))))=s(t_fun(X3,t_h4s_lists_list(t_bool)),X18),file('i/f/EncodeVar/fixed__width__bnum', ah4s_Coders_encoderu_u_def)).
fof(16, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/EncodeVar/fixed__width__bnum', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
