# 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(2, axiom,p(s(t_bool,t)),file('i/f/rich_list/IS__PREFIX__NIL_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/IS__PREFIX__NIL_c1', aHLu_FALSITY)).
fof(36, axiom,![X1]:![X12]:(s(t_h4s_lists_list(X1),X12)=s(t_h4s_lists_list(X1),h4s_lists_nil)|?[X13]:?[X3]:s(t_h4s_lists_list(X1),X12)=s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X13),s(t_h4s_lists_list(X1),X3)))),file('i/f/rich_list/IS__PREFIX__NIL_c1', ah4s_lists_listu_u_CASES)).
fof(38, axiom,![X1]:![X12]:s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),h4s_lists_nil),s(t_h4s_lists_list(X1),X12)))=s(t_bool,t),file('i/f/rich_list/IS__PREFIX__NIL_c1', ah4s_richu_u_lists_ISu_u_PREFIXu_c0)).
fof(39, axiom,![X1]:![X2]:![X12]:s(t_bool,h4s_lists_isprefix(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X2),s(t_h4s_lists_list(X1),X12))),s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_bool,f),file('i/f/rich_list/IS__PREFIX__NIL_c1', ah4s_richu_u_lists_ISu_u_PREFIXu_c1)).
# SZS output end CNFRefutation
