# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:p(s(t_bool,h4s_encodevars_fixedu_u_width(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_pairs_prod(t_fun(t_bool,t_bool),t_h4s_pairs_prod(t_fun(t_bool,t_h4s_lists_list(t_bool)),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_coders_boolu_u_coder(s(t_fun(t_bool,t_bool),X1)))))),file('i/f/EncodeVar/fixed__width__bool', ch4s_EncodeVars_fixedu_u_widthu_u_bool)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/EncodeVar/fixed__width__bool', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/EncodeVar/fixed__width__bool', aHLu_FALSITY)).
fof(10, axiom,![X2]:![X11]:![X12]:(p(s(t_bool,h4s_encodevars_fixedu_u_width(s(t_h4s_nums_num,X11),s(t_h4s_pairs_prod(t_fun(X2,t_bool),t_h4s_pairs_prod(t_fun(X2,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))))),X12))))<=>![X4]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),h4s_coders_domain(s(t_h4s_pairs_prod(t_fun(X2,t_bool),t_h4s_pairs_prod(t_fun(X2,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))))),X12))),s(X2,X4))))=>s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_bool),happ(s(t_fun(X2,t_h4s_lists_list(t_bool)),h4s_coders_encoder(s(t_h4s_pairs_prod(t_fun(X2,t_bool),t_h4s_pairs_prod(t_fun(X2,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))))),X12))),s(X2,X4)))))=s(t_h4s_nums_num,X11))),file('i/f/EncodeVar/fixed__width__bool', ah4s_EncodeVars_fixedu_u_widthu_u_def)).
fof(12, axiom,![X1]:s(t_h4s_pairs_prod(t_fun(t_bool,t_bool),t_h4s_pairs_prod(t_fun(t_bool,t_h4s_lists_list(t_bool)),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_coders_boolu_u_coder(s(t_fun(t_bool,t_bool),X1)))=s(t_h4s_pairs_prod(t_fun(t_bool,t_bool),t_h4s_pairs_prod(t_fun(t_bool,t_h4s_lists_list(t_bool)),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_pairs_u_2c(s(t_fun(t_bool,t_bool),X1),s(t_h4s_pairs_prod(t_fun(t_bool,t_h4s_lists_list(t_bool)),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_pairs_u_2c(s(t_fun(t_bool,t_h4s_lists_list(t_bool)),h4s_encodes_encodeu_u_bool),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/EncodeVar/fixed__width__bool', ah4s_Coders_boolu_u_coderu_u_def)).
fof(14, axiom,![X4]: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,X4)))=s(t_h4s_lists_list(t_bool),h4s_lists_cons(s(t_bool,X4),s(t_h4s_lists_list(t_bool),h4s_lists_nil))),file('i/f/EncodeVar/fixed__width__bool', ah4s_Encodes_encodeu_u_boolu_u_def)).
fof(16, axiom,![X2]:![X1]:![X17]:![X18]:s(t_fun(X2,t_h4s_lists_list(t_bool)),h4s_coders_encoder(s(t_h4s_pairs_prod(t_fun(X2,t_bool),t_h4s_pairs_prod(t_fun(X2,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))))),h4s_pairs_u_2c(s(t_fun(X2,t_bool),X1),s(t_h4s_pairs_prod(t_fun(X2,t_h4s_lists_list(t_bool)),t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool))))),h4s_pairs_u_2c(s(t_fun(X2,t_h4s_lists_list(t_bool)),X17),s(t_fun(t_h4s_lists_list(t_bool),t_h4s_options_option(t_h4s_pairs_prod(X2,t_h4s_lists_list(t_bool)))),X18)))))))=s(t_fun(X2,t_h4s_lists_list(t_bool)),X17),file('i/f/EncodeVar/fixed__width__bool', ah4s_Coders_encoderu_u_def)).
fof(17, axiom,![X2]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),h4s_lists_nil)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/EncodeVar/fixed__width__bool', ah4s_lists_LENGTH0u_c0)).
fof(18, axiom,![X2]:![X3]:![X19]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X19),s(t_h4s_lists_list(X2),X3)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X3))))),file('i/f/EncodeVar/fixed__width__bool', ah4s_lists_LENGTH0u_c1)).
fof(19, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),file('i/f/EncodeVar/fixed__width__bool', ah4s_numerals_numeralu_u_distribu_c13)).
fof(20, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/EncodeVar/fixed__width__bool', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
