# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X3),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X4))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X2)))))=>s(t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool))),happ(s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X4),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(X1,t_h4s_lists_list(t_bool)))),X4),s(X1,X2)))))=s(t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool))),h4s_options_some(s(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)),h4s_pairs_u_2c(s(X1,X2),s(t_h4s_lists_list(t_bool),h4s_lists_nil)))))),file('i/f/Decode/decode__dec2enc', ch4s_Decodes_decodeu_u_dec2enc)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Decode/decode__dec2enc', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Decode/decode__dec2enc', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/Decode/decode__dec2enc', aHLu_BOOLu_CASES)).
fof(23, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/Decode/decode__dec2enc', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(38, axiom,![X1]:![X2]:![X3]:![X15]:![X4]:(p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X3),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X4))))=>((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(X1,t_h4s_lists_list(t_bool)))),X4),s(X1,X2)))=s(t_h4s_lists_list(t_bool),X15)&p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X2)))))<=>s(t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool))),happ(s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X4),s(t_h4s_lists_list(t_bool),X15)))=s(t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool))),h4s_options_some(s(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)),h4s_pairs_u_2c(s(X1,X2),s(t_h4s_lists_list(t_bool),h4s_lists_nil))))))),file('i/f/Decode/decode__dec2enc', ah4s_Decodes_dec2encu_u_some)).
# SZS output end CNFRefutation
