# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(~(p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X3)))))=>s(t_h4s_lists_list(X1),h4s_lists_filter(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_lists_list(X1),h4s_lists_filter(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X2)))),file('i/f/list/FILTER__COND__REWRITE_c2', ch4s_lists_FILTERu_u_CONDu_u_REWRITEu_c2)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/FILTER__COND__REWRITE_c2', aHLu_TRUTH)).
fof(14, axiom,![X1]:![X7]:![X3]:![X4]:s(t_h4s_lists_list(X1),h4s_lists_filter(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),X7)))))=s(t_h4s_lists_list(X1),h4s_bools_cond(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X3))),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X3),s(t_h4s_lists_list(X1),h4s_lists_filter(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X7))))),s(t_h4s_lists_list(X1),h4s_lists_filter(s(t_fun(X1,t_bool),X4),s(t_h4s_lists_list(X1),X7))))),file('i/f/list/FILTER__COND__REWRITE_c2', ah4s_lists_FILTER0u_c1)).
fof(17, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/list/FILTER__COND__REWRITE_c2', aHLu_BOOLu_CASES)).
fof(20, axiom,![X1]:![X5]:![X6]:s(X1,h4s_bools_cond(s(t_bool,f),s(X1,X6),s(X1,X5)))=s(X1,X5),file('i/f/list/FILTER__COND__REWRITE_c2', ah4s_bools_CONDu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
