# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X2),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X5))))&p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_encodes_liftu_u_blist(s(t_h4s_nums_num,X3),s(t_fun(X1,t_bool),X2))),s(t_h4s_lists_list(X1),X4)))))=>s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_lists_list(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_lists_list(X1),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_blist(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_encodes_liftu_u_blist(s(t_h4s_nums_num,X3),s(t_fun(X1,t_bool),X2))),s(t_h4s_nums_num,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)))),X5))))),s(t_h4s_lists_list(X1),X4)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_blist(s(t_h4s_nums_num,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)))),X5))))),s(t_h4s_lists_list(X1),X4)))),file('i/f/Decode/dec2enc__decode__blist', ch4s_Decodes_dec2encu_u_decodeu_u_blist)).
fof(21, axiom,![X17]:![X18]:((p(s(t_bool,X18))=>p(s(t_bool,X17)))=>((p(s(t_bool,X17))=>p(s(t_bool,X18)))=>s(t_bool,X18)=s(t_bool,X17))),file('i/f/Decode/dec2enc__decode__blist', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(37, axiom,![X1]:![X2]:![X3]:![X5]:s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_blist(s(t_fun(t_h4s_lists_list(X1),t_bool),X2),s(t_h4s_nums_num,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)))),X5)))=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_lists_list(X1),t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(t_h4s_lists_list(X1),t_bool),X2),s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_blist(s(t_h4s_nums_num,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)))),X5))))))),file('i/f/Decode/dec2enc__decode__blist', ah4s_Decodes_decodeu_u_blistu_u_def)).
fof(38, axiom,![X1]:![X2]:![X3]:![X26]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_lists_list(t_bool)),X26))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_encodes_liftu_u_blist(s(t_h4s_nums_num,X3),s(t_fun(X1,t_bool),X2))),s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_blist(s(t_h4s_nums_num,X3),s(t_fun(X1,t_h4s_lists_list(t_bool)),X26))))))),file('i/f/Decode/dec2enc__decode__blist', ah4s_Encodes_wfu_u_encodeu_u_blist)).
fof(40, axiom,![X1]:![X2]:![X5]:(p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X2),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X5))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X2),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)))),X5))))))),file('i/f/Decode/dec2enc__decode__blist', ah4s_Decodes_wfu_u_dec2enc)).
fof(42, axiom,![X1]:![X7]:![X2]:![X26]:((p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_lists_list(t_bool)),X26))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X7)))))=>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),X2),s(t_fun(X1,t_h4s_lists_list(t_bool)),X26))))),s(X1,X7)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(X1,t_h4s_lists_list(t_bool)),X26),s(X1,X7)))),file('i/f/Decode/dec2enc__decode__blist', ah4s_Decodes_dec2encu_u_enc2dec)).
# SZS output end CNFRefutation
