# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X1]:![X8]:![X9]:s(t_h4s_lists_list(X7),h4s_lists_filter(s(t_fun(X7,t_bool),X9),s(t_h4s_lists_list(X7),happ(s(t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7)),happ(s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons),s(X7,X8))),s(t_h4s_lists_list(X7),X1)))))=s(t_h4s_lists_list(X7),h4s_bools_cond(s(t_bool,happ(s(t_fun(X7,t_bool),X9),s(X7,X8))),s(t_h4s_lists_list(X7),happ(s(t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7)),happ(s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons),s(X7,X8))),s(t_h4s_lists_list(X7),h4s_lists_filter(s(t_fun(X7,t_bool),X9),s(t_h4s_lists_list(X7),X1))))),s(t_h4s_lists_list(X7),h4s_lists_filter(s(t_fun(X7,t_bool),X9),s(t_h4s_lists_list(X7),X1))))),file('i/f/list/FILTER__COND__REWRITE_c2', ah4s_lists_FILTER0u_c1)).
fof(17, axiom,![X7]:![X11]:![X12]:s(X7,h4s_bools_cond(s(t_bool,f),s(X7,X12),s(X7,X11)))=s(X7,X11),file('i/f/list/FILTER__COND__REWRITE_c2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(72, axiom,![X1]:(s(t_bool,f)=s(t_bool,X1)<=>~(p(s(t_bool,X1)))),file('i/f/list/FILTER__COND__REWRITE_c2', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(133, conjecture,![X7]:![X10]:![X8]:![X9]:(~(p(s(t_bool,happ(s(t_fun(X7,t_bool),X9),s(X7,X8)))))=>s(t_h4s_lists_list(X7),h4s_lists_filter(s(t_fun(X7,t_bool),X9),s(t_h4s_lists_list(X7),happ(s(t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7)),happ(s(t_fun(X7,t_fun(t_h4s_lists_list(X7),t_h4s_lists_list(X7))),h4s_lists_cons),s(X7,X8))),s(t_h4s_lists_list(X7),X10)))))=s(t_h4s_lists_list(X7),h4s_lists_filter(s(t_fun(X7,t_bool),X9),s(t_h4s_lists_list(X7),X10)))),file('i/f/list/FILTER__COND__REWRITE_c2', ch4s_lists_FILTERu_u_CONDu_u_REWRITEu_c2)).
# SZS output end CNFRefutation
