# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(t_bool,t_bool),X1),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),X1)))))),file('i/f/Decode/wf__decode__bool', ch4s_Decodes_wfu_u_decodeu_u_bool)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/Decode/wf__decode__bool', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/Decode/wf__decode__bool', aHLu_FALSITY)).
fof(6, axiom,![X1]:p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_bool,t_bool),X1),s(t_fun(t_bool,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bool)))),file('i/f/Decode/wf__decode__bool', ah4s_Encodes_wfu_u_encodeu_u_bool)).
fof(7, axiom,![X3]:![X1]:![X4]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X3,t_bool),X1),s(t_fun(X3,t_h4s_lists_list(t_bool)),X4))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X3,t_bool),X1),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X3,t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(X3,t_bool),X1),s(t_fun(X3,t_h4s_lists_list(t_bool)),X4))))))),file('i/f/Decode/wf__decode__bool', ah4s_Decodes_wfu_u_enc2dec)).
fof(8, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/Decode/wf__decode__bool', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]: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),X1)))=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),X1),s(t_fun(t_bool,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bool))),file('i/f/Decode/wf__decode__bool', ah4s_Decodes_decodeu_u_boolu_u_def)).
# SZS output end CNFRefutation
