# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_encodes_wfu_u_pred(s(t_fun(t_h4s_ones_one,t_bool),X1))))=>p(s(t_bool,h4s_coders_wfu_u_coder(s(t_h4s_pairs_prod(t_fun(t_h4s_ones_one,t_bool),t_h4s_pairs_prod(t_fun(t_h4s_ones_one,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_ones_one,t_h4s_lists_list(t_bool)))))),h4s_coders_unitu_u_coder(s(t_fun(t_h4s_ones_one,t_bool),X1))))))),file('i/f/Coder/wf__coder__unit', ch4s_Coders_wfu_u_coderu_u_unit)).
fof(29, axiom,![X1]:s(t_h4s_pairs_prod(t_fun(t_h4s_ones_one,t_bool),t_h4s_pairs_prod(t_fun(t_h4s_ones_one,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_ones_one,t_h4s_lists_list(t_bool)))))),h4s_coders_unitu_u_coder(s(t_fun(t_h4s_ones_one,t_bool),X1)))=s(t_h4s_pairs_prod(t_fun(t_h4s_ones_one,t_bool),t_h4s_pairs_prod(t_fun(t_h4s_ones_one,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_ones_one,t_h4s_lists_list(t_bool)))))),h4s_pairs_u_2c(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_h4s_pairs_prod(t_fun(t_h4s_ones_one,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_ones_one,t_h4s_lists_list(t_bool))))),h4s_pairs_u_2c(s(t_fun(t_h4s_ones_one,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_unit),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_ones_one,t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_unit(s(t_fun(t_h4s_ones_one,t_bool),X1))))))),file('i/f/Coder/wf__coder__unit', ah4s_Coders_unitu_u_coderu_u_def)).
fof(31, axiom,![X9]:![X1]:![X17]:![X19]:(p(s(t_bool,h4s_coders_wfu_u_coder(s(t_h4s_pairs_prod(t_fun(X9,t_bool),t_h4s_pairs_prod(t_fun(X9,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X9,t_h4s_lists_list(t_bool)))))),h4s_pairs_u_2c(s(t_fun(X9,t_bool),X1),s(t_h4s_pairs_prod(t_fun(X9,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X9,t_h4s_lists_list(t_bool))))),h4s_pairs_u_2c(s(t_fun(X9,t_h4s_lists_list(t_bool)),X17),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X9,t_h4s_lists_list(t_bool)))),X19))))))))<=>(p(s(t_bool,h4s_encodes_wfu_u_pred(s(t_fun(X9,t_bool),X1))))&(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X9,t_bool),X1),s(t_fun(X9,t_h4s_lists_list(t_bool)),X17))))&s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X9,t_h4s_lists_list(t_bool)))),X19)=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X9,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X9,t_bool),X1),s(t_fun(X9,t_h4s_lists_list(t_bool)),X17)))))),file('i/f/Coder/wf__coder__unit', ah4s_Coders_wfu_u_coderu_u_def)).
fof(46, axiom,![X1]:s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_ones_one,t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_unit(s(t_fun(t_h4s_ones_one,t_bool),X1)))=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_ones_one,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_fun(t_h4s_ones_one,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_unit))),file('i/f/Coder/wf__coder__unit', ah4s_Decodes_decodeu_u_unitu_u_def)).
fof(47, axiom,![X1]:p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_ones_one,t_bool),X1),s(t_fun(t_h4s_ones_one,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_unit)))),file('i/f/Coder/wf__coder__unit', ah4s_Encodes_wfu_u_encodeu_u_unit)).
# SZS output end CNFRefutation
