# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,happ(s(t_fun(t_bool,t_bool),X2),s(t_bool,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_bool,t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_bool(s(t_fun(t_bool,t_bool),X2))),s(t_bool,X1)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_bool,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bool),s(t_bool,X1)))),file('i/f/Decode/dec2enc__decode__bool', ch4s_Decodes_dec2encu_u_decodeu_u_bool)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Decode/dec2enc__decode__bool', aHLu_TRUTH)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/Decode/dec2enc__decode__bool', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X4]:![X1]:![X2]:![X15]:((p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X4,t_bool),X2),s(t_fun(X4,t_h4s_lists_list(t_bool)),X15))))&p(s(t_bool,happ(s(t_fun(X4,t_bool),X2),s(X4,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(X4,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X4,t_bool),X2),s(t_fun(X4,t_h4s_lists_list(t_bool)),X15))),s(X4,X1)))=s(t_h4s_lists_list(t_bool),happ(s(t_fun(X4,t_h4s_lists_list(t_bool)),X15),s(X4,X1)))),file('i/f/Decode/dec2enc__decode__bool', ah4s_Decodes_dec2encu_u_enc2dec)).
fof(13, axiom,![X2]:p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_bool,t_bool),X2),s(t_fun(t_bool,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bool)))),file('i/f/Decode/dec2enc__decode__bool', ah4s_Encodes_wfu_u_encodeu_u_bool)).
fof(14, axiom,![X2]:s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_bool,t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_bool(s(t_fun(t_bool,t_bool),X2)))=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_bool,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(t_bool,t_bool),X2),s(t_fun(t_bool,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bool))),file('i/f/Decode/dec2enc__decode__bool', ah4s_Decodes_decodeu_u_boolu_u_def)).
# SZS output end CNFRefutation
