# 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(2, axiom,p(s(t_bool,t)),file('i/f/Coder/wf__coder__unit', aHLu_TRUTH)).
fof(7, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)<=>p(s(t_bool,X2))),file('i/f/Coder/wf__coder__unit', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X3]:![X1]:![X11]:![X12]:(p(s(t_bool,h4s_coders_wfu_u_coder(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)),X11),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))),X12))))))))<=>(p(s(t_bool,h4s_encodes_wfu_u_pred(s(t_fun(X3,t_bool),X1))))&(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X3,t_bool),X1),s(t_fun(X3,t_h4s_lists_list(t_bool)),X11))))&s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))),X12)=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X3,t_bool),X1),s(t_fun(X3,t_h4s_lists_list(t_bool)),X11)))))),file('i/f/Coder/wf__coder__unit', ah4s_Coders_wfu_u_coderu_u_def)).
fof(12, 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(13, 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)).
fof(14, 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(15, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/Coder/wf__coder__unit', aHLu_BOOLu_CASES)).
fof(16, axiom,~(p(s(t_bool,f))),file('i/f/Coder/wf__coder__unit', aHLu_FALSITY)).
# SZS output end CNFRefutation
