# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),X2),s(t_h4s_lists_list(X1),h4s_lists_nil))))<=>s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)),file('i/f/rich_list/IS__PREFIX__NIL_c1', ch4s_richu_u_lists_ISu_u_PREFIXu_u_NILu_c1)).
fof(32, axiom,![X1]:![X23]:s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X1),X23)))=s(t_bool,t),file('i/f/rich_list/IS__PREFIX__NIL_c1', ah4s_lists_isPREFIXu_u_THMu_c0)).
fof(33, axiom,![X1]:![X9]:![X24]:s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X24))),s(t_h4s_lists_list(X1),X9))),s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_bool,f),file('i/f/rich_list/IS__PREFIX__NIL_c1', ah4s_lists_isPREFIXu_u_THMu_c1)).
fof(47, axiom,![X1]:![X23]:(s(t_h4s_lists_list(X1),X23)=s(t_h4s_lists_list(X1),h4s_lists_nil)|?[X24]:?[X9]:s(t_h4s_lists_list(X1),X23)=s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X24))),s(t_h4s_lists_list(X1),X9)))),file('i/f/rich_list/IS__PREFIX__NIL_c1', ah4s_lists_listu_u_CASES)).
fof(54, axiom,p(s(t_bool,t)),file('i/f/rich_list/IS__PREFIX__NIL_c1', aHLu_TRUTH)).
fof(55, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/IS__PREFIX__NIL_c1', aHLu_FALSITY)).
# SZS output end CNFRefutation
