# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(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)))),X3))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_lists_every(s(t_fun(X1,t_bool),X2))),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_list(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_lists_every(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)))),X3))))))),file('i/f/Decode/wf__decode__list', ch4s_Decodes_wfu_u_decodeu_u_list)).
fof(24, axiom,![X1]:![X2]:![X3]: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_list(s(t_fun(t_h4s_lists_list(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)))),X3)))=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_list(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)))),X3))))))),file('i/f/Decode/wf__decode__list', ah4s_Decodes_decodeu_u_listu_u_def)).
fof(25, axiom,![X1]:![X2]:![X17]:(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)),X17))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_lists_list(X1),t_bool),h4s_lists_every(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_list(s(t_fun(X1,t_h4s_lists_list(t_bool)),X17))))))),file('i/f/Decode/wf__decode__list', ah4s_Encodes_wfu_u_encodeu_u_list)).
fof(29, axiom,![X1]:![X2]:![X17]:(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)),X17))))=>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)))),h4s_decodes_enc2dec(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_h4s_lists_list(t_bool)),X17))))))),file('i/f/Decode/wf__decode__list', ah4s_Decodes_wfu_u_enc2dec)).
fof(33, axiom,![X1]:![X2]:![X3]:(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)))),X3))))=>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)))),X3))))))),file('i/f/Decode/wf__decode__list', ah4s_Decodes_wfu_u_dec2enc)).
fof(63, axiom,p(s(t_bool,t)),file('i/f/Decode/wf__decode__list', aHLu_TRUTH)).
fof(64, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/Decode/wf__decode__list', aHLu_BOOLu_CASES)).
fof(79, axiom,~(p(s(t_bool,f))),file('i/f/Decode/wf__decode__list', aHLu_FALSITY)).
# SZS output end CNFRefutation
