# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X3),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X4))))&p(s(t_bool,happ(s(t_fun(t_h4s_options_option(X1),t_bool),h4s_encodes_liftu_u_option(s(t_fun(X1,t_bool),X3))),s(t_h4s_options_option(X1),X2)))))=>s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_options_option(X1),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(t_h4s_options_option(X1),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_option(s(t_fun(t_h4s_options_option(X1),t_bool),h4s_encodes_liftu_u_option(s(t_fun(X1,t_bool),X3))),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X4))))),s(t_h4s_options_option(X1),X2)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_options_option(X1),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_option(s(t_fun(X1,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(X1,t_h4s_lists_list(t_bool)))),X4))))),s(t_h4s_options_option(X1),X2)))),file('i/f/Decode/dec2enc__decode__option', ch4s_Decodes_dec2encu_u_decodeu_u_option)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Decode/dec2enc__decode__option', aHLu_TRUTH)).
fof(8, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/Decode/dec2enc__decode__option', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X2]:![X3]:![X16]:((p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_h4s_lists_list(t_bool)),X16))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X2)))))=>s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,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(X1,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_h4s_lists_list(t_bool)),X16))))),s(X1,X2)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X16),s(X1,X2)))),file('i/f/Decode/dec2enc__decode__option', ah4s_Decodes_dec2encu_u_enc2dec)).
fof(13, axiom,![X1]:![X3]:![X16]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_h4s_lists_list(t_bool)),X16))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_options_option(X1),t_bool),h4s_encodes_liftu_u_option(s(t_fun(X1,t_bool),X3))),s(t_fun(t_h4s_options_option(X1),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_option(s(t_fun(X1,t_h4s_lists_list(t_bool)),X16))))))),file('i/f/Decode/dec2enc__decode__option', ah4s_Encodes_wfu_u_encodeu_u_option)).
fof(14, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X3),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X4))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X3),s(t_fun(X1,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(X1,t_h4s_lists_list(t_bool)))),X4))))))),file('i/f/Decode/dec2enc__decode__option', ah4s_Decodes_wfu_u_dec2enc)).
fof(15, axiom,![X1]:![X3]:![X4]:s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_options_option(X1),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_option(s(t_fun(t_h4s_options_option(X1),t_bool),X3),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X4)))=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_options_option(X1),t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(t_h4s_options_option(X1),t_bool),X3),s(t_fun(t_h4s_options_option(X1),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_option(s(t_fun(X1,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(X1,t_h4s_lists_list(t_bool)))),X4))))))),file('i/f/Decode/dec2enc__decode__option', ah4s_Decodes_decodeu_u_optionu_u_def)).
# SZS output end CNFRefutation
