# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:((p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X5),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X7))))&(p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X2,t_bool),X4),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))),X6))))&p(s(t_bool,happ(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),h4s_encodes_liftu_u_sum(s(t_fun(X1,t_bool),X5),s(t_fun(X2,t_bool),X4))),s(t_h4s_sums_sum(X1,X2),X3))))))=>s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_sums_sum(X1,X2),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_sums_sum(X1,X2),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_sum(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),h4s_encodes_liftu_u_sum(s(t_fun(X1,t_bool),X5),s(t_fun(X2,t_bool),X4))),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X7),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))),X6))))),s(t_h4s_sums_sum(X1,X2),X3)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_sum(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)))),X7))),s(t_fun(X2,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(X2,t_h4s_lists_list(t_bool)))),X6))))),s(t_h4s_sums_sum(X1,X2),X3)))),file('i/f/Decode/dec2enc__decode__sum', ch4s_Decodes_dec2encu_u_decodeu_u_sum)).
fof(6, axiom,![X1]:![X3]:![X18]:![X19]:((p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X18),s(t_fun(X1,t_h4s_lists_list(t_bool)),X19))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X18),s(X1,X3)))))=>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),X18),s(t_fun(X1,t_h4s_lists_list(t_bool)),X19))))),s(X1,X3)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X19),s(X1,X3)))),file('i/f/Decode/dec2enc__decode__sum', ah4s_Decodes_dec2encu_u_enc2dec)).
fof(7, axiom,![X1]:![X2]:![X4]:![X5]:![X20]:![X21]:((p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X5),s(t_fun(X1,t_h4s_lists_list(t_bool)),X21))))&p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X2,t_bool),X4),s(t_fun(X2,t_h4s_lists_list(t_bool)),X20)))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),h4s_encodes_liftu_u_sum(s(t_fun(X1,t_bool),X5),s(t_fun(X2,t_bool),X4))),s(t_fun(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_sum(s(t_fun(X1,t_h4s_lists_list(t_bool)),X21),s(t_fun(X2,t_h4s_lists_list(t_bool)),X20))))))),file('i/f/Decode/dec2enc__decode__sum', ah4s_Encodes_wfu_u_encodeu_u_sum)).
fof(8, axiom,![X1]:![X2]:![X18]:![X6]:![X7]:s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_sum(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),X18),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X7),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))),X6)))=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),X18),s(t_fun(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_sum(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)))),X7))),s(t_fun(X2,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(X2,t_h4s_lists_list(t_bool)))),X6))))))),file('i/f/Decode/dec2enc__decode__sum', ah4s_Decodes_decodeu_u_sumu_u_def)).
fof(9, axiom,![X1]:![X18]:![X22]:(p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X18),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X22))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X18),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)))),X22))))))),file('i/f/Decode/dec2enc__decode__sum', ah4s_Decodes_wfu_u_dec2enc)).
# SZS output end CNFRefutation
