# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_encodes_wfu_u_predu_u_bnum(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(t_h4s_nums_num,t_bool),X1),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,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))))),file('i/f/Decode/wf__decode__bnum', ch4s_Decodes_wfu_u_decodeu_u_bnum)).
fof(19, axiom,![X15]:![X1]:![X17]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X15,t_bool),X1),s(t_fun(X15,t_h4s_lists_list(t_bool)),X17))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X15,t_bool),X1),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X15,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X15,t_bool),X1),s(t_fun(X15,t_h4s_lists_list(t_bool)),X17))))))),file('i/f/Decode/wf__decode__bnum', ah4s_Decodes_wfu_u_enc2dec)).
fof(20, axiom,![X1]:![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_decodeu_u_bnum(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1)))=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),X1),s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X2))))),file('i/f/Decode/wf__decode__bnum', ah4s_Decodes_decodeu_u_bnumu_u_def)).
fof(26, axiom,![X1]:![X2]:(p(s(t_bool,h4s_encodes_wfu_u_predu_u_bnum(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),X1))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_nums_num,t_bool),X1),s(t_fun(t_h4s_nums_num,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bnum(s(t_h4s_nums_num,X2))))))),file('i/f/Decode/wf__decode__bnum', ah4s_Encodes_wfu_u_encodeu_u_bnum)).
# SZS output end CNFRefutation
