# 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(2, axiom,p(s(t_bool,t)),file('i/f/Decode/wf__decode__bnum', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Decode/wf__decode__bnum', aHLu_FALSITY)).
fof(6, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/Decode/wf__decode__bnum', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(9, 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)).
fof(10, axiom,![X11]:![X1]:![X12]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X11,t_bool),X1),s(t_fun(X11,t_h4s_lists_list(t_bool)),X12))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X11,t_bool),X1),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X11,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X11,t_bool),X1),s(t_fun(X11,t_h4s_lists_list(t_bool)),X12))))))),file('i/f/Decode/wf__decode__bnum', ah4s_Decodes_wfu_u_enc2dec)).
fof(12, 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(14, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/Decode/wf__decode__bnum', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
