# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/Decode/wf__decode__option', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/Decode/wf__decode__option', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/Decode/wf__decode__option', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:![X9]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_h4s_lists_list(t_bool)),X9))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_options_option(X7),t_bool),h4s_encodes_liftu_u_option(s(t_fun(X7,t_bool),X8))),s(t_fun(t_h4s_options_option(X7),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_option(s(t_fun(X7,t_h4s_lists_list(t_bool)),X9))))))),file('i/f/Decode/wf__decode__option', ah4s_Encodes_wfu_u_encodeu_u_option)).
fof(6, axiom,![X7]:![X8]:![X10]:s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_options_option(X7),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_option(s(t_fun(t_h4s_options_option(X7),t_bool),X8),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X7,t_h4s_lists_list(t_bool)))),X10)))=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_options_option(X7),t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(t_h4s_options_option(X7),t_bool),X8),s(t_fun(t_h4s_options_option(X7),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_option(s(t_fun(X7,t_h4s_lists_list(t_bool)),h4s_decodes_dec2enc(s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X7,t_h4s_lists_list(t_bool)))),X10))))))),file('i/f/Decode/wf__decode__option', ah4s_Decodes_decodeu_u_optionu_u_def)).
fof(13, axiom,![X7]:![X8]:![X10]:(p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X7,t_bool),X8),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X7,t_h4s_lists_list(t_bool)))),X10))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_h4s_lists_list(t_bool)),h4s_decodes_dec2enc(s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X7,t_h4s_lists_list(t_bool)))),X10))))))),file('i/f/Decode/wf__decode__option', ah4s_Decodes_wfu_u_dec2enc)).
fof(43, axiom,![X7]:![X8]:![X9]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_h4s_lists_list(t_bool)),X9))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X7,t_bool),X8),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X7,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_h4s_lists_list(t_bool)),X9))))))),file('i/f/Decode/wf__decode__option', ah4s_Decodes_wfu_u_enc2dec)).
fof(133, conjecture,![X7]:![X8]:![X10]:(p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X7,t_bool),X8),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X7,t_h4s_lists_list(t_bool)))),X10))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(t_h4s_options_option(X7),t_bool),h4s_encodes_liftu_u_option(s(t_fun(X7,t_bool),X8))),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_options_option(X7),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_option(s(t_fun(t_h4s_options_option(X7),t_bool),h4s_encodes_liftu_u_option(s(t_fun(X7,t_bool),X8))),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X7,t_h4s_lists_list(t_bool)))),X10))))))),file('i/f/Decode/wf__decode__option', ch4s_Decodes_wfu_u_decodeu_u_option)).
# SZS output end CNFRefutation
