# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_encodes_wfu_u_predu_u_bnum(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),X2))))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X1)))))=>s(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_nums_num,t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_bnum(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,X1)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X1)))),file('i/f/Decode/dec2enc__decode__bnum', ch4s_Decodes_dec2encu_u_decodeu_u_bnum)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Decode/dec2enc__decode__bnum', aHLu_TRUTH)).
fof(8, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/Decode/dec2enc__decode__bnum', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X5]:![X1]:![X2]:![X16]:((p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X5,t_bool),X2),s(t_fun(X5,t_h4s_lists_list(t_bool)),X16))))&p(s(t_bool,happ(s(t_fun(X5,t_bool),X2),s(X5,X1)))))=>s(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(X5,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X5,t_bool),X2),s(t_fun(X5,t_h4s_lists_list(t_bool)),X16))),s(X5,X1)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(X5,t_h4s_lists_list(t_bool)),X16),s(X5,X1)))),file('i/f/Decode/dec2enc__decode__bnum', ah4s_Decodes_dec2encu_u_enc2dec)).
fof(13, axiom,![X2]:![X3]:(p(s(t_bool,h4s_encodes_wfu_u_predu_u_bnum(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),X2))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X3))))))),file('i/f/Decode/dec2enc__decode__bnum', ah4s_Encodes_wfu_u_encodeu_u_bnum)).
fof(14, axiom,![X2]:![X3]:s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_bnum(s(t_h4s_nums_num,X3),s(t_fun(t_h4s_nums_num,t_bool),X2)))=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X3))))),file('i/f/Decode/dec2enc__decode__bnum', ah4s_Decodes_decodeu_u_bnumu_u_def)).
# SZS output end CNFRefutation
