# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X4),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X6))))&p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X2,t_bool),X3),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))),X5)))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),h4s_encodes_liftu_u_sum(s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_sum(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),h4s_encodes_liftu_u_sum(s(t_fun(X1,t_bool),X4),s(t_fun(X2,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)))),X6),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))),X5))))))),file('i/f/Decode/wf__decode__sum', ch4s_Decodes_wfu_u_decodeu_u_sum)).
fof(7, axiom,![X12]:![X13]:((p(s(t_bool,X13))=>p(s(t_bool,X12)))=>((p(s(t_bool,X12))=>p(s(t_bool,X13)))=>s(t_bool,X13)=s(t_bool,X12))),file('i/f/Decode/wf__decode__sum', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(20, axiom,![X1]:![X2]:![X18]:![X5]:![X6]:s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)))),h4s_decodes_decodeu_u_sum(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),X18),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X6),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))),X5)))=s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)))),h4s_decodes_enc2dec(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),X18),s(t_fun(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_sum(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)))),X6))),s(t_fun(X2,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(X2,t_h4s_lists_list(t_bool)))),X5))))))),file('i/f/Decode/wf__decode__sum', ah4s_Decodes_decodeu_u_sumu_u_def)).
fof(21, axiom,![X1]:![X2]:![X3]:![X4]:![X21]:![X22]:((p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_h4s_lists_list(t_bool)),X22))))&p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X2,t_bool),X3),s(t_fun(X2,t_h4s_lists_list(t_bool)),X21)))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(t_h4s_sums_sum(X1,X2),t_bool),h4s_encodes_liftu_u_sum(s(t_fun(X1,t_bool),X4),s(t_fun(X2,t_bool),X3))),s(t_fun(t_h4s_sums_sum(X1,X2),t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_sum(s(t_fun(X1,t_h4s_lists_list(t_bool)),X22),s(t_fun(X2,t_h4s_lists_list(t_bool)),X21))))))),file('i/f/Decode/wf__decode__sum', ah4s_Encodes_wfu_u_encodeu_u_sum)).
fof(24, axiom,![X1]:![X18]:![X28]:(p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X18),s(t_fun(X1,t_h4s_lists_list(t_bool)),X28))))=>p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X18),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),X18),s(t_fun(X1,t_h4s_lists_list(t_bool)),X28))))))),file('i/f/Decode/wf__decode__sum', ah4s_Decodes_wfu_u_enc2dec)).
fof(27, axiom,![X1]:![X18]:![X27]:(p(s(t_bool,h4s_decodes_wfu_u_decoder(s(t_fun(X1,t_bool),X18),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X1,t_h4s_lists_list(t_bool)))),X27))))=>p(s(t_bool,h4s_encodes_wfu_u_encoder(s(t_fun(X1,t_bool),X18),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)))),X27))))))),file('i/f/Decode/wf__decode__sum', ah4s_Decodes_wfu_u_dec2enc)).
# SZS output end CNFRefutation
