# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:~(p(s(t_bool,h4s_lists_null(s(t_h4s_lists_list(X1),h4s_lists_snoc(s(X1,X2),s(t_h4s_lists_list(X1),X3))))))),file('i/f/rich_list/NOT__NULL__SNOC', ch4s_richu_u_lists_NOTu_u_NULLu_u_SNOC)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rich_list/NOT__NULL__SNOC', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/NOT__NULL__SNOC', aHLu_FALSITY)).
fof(10, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/rich_list/NOT__NULL__SNOC', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(59, axiom,![X1]:![X5]:![X6]:~(p(s(t_bool,h4s_lists_null(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,X6))),s(t_h4s_lists_list(X1),X5))))))),file('i/f/rich_list/NOT__NULL__SNOC', ah4s_lists_NULL0u_c1)).
fof(65, axiom,![X1]:![X12]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X12),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_snoc(s(X1,X2),s(t_h4s_lists_list(X1),X3))))))))<=>(s(X1,X12)=s(X1,X2)|p(s(t_bool,h4s_bools_in(s(X1,X12),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X3)))))))),file('i/f/rich_list/NOT__NULL__SNOC', ah4s_lists_MEMu_u_SNOC)).
fof(71, axiom,![X1]:![X3]:(s(t_h4s_lists_list(X1),X3)=s(t_h4s_lists_list(X1),h4s_lists_nil)|?[X6]:?[X5]:s(t_h4s_lists_list(X1),X3)=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,X6))),s(t_h4s_lists_list(X1),X5)))),file('i/f/rich_list/NOT__NULL__SNOC', ah4s_lists_listu_u_CASES)).
fof(76, axiom,![X1]:![X2]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_nil)))))=s(t_bool,f),file('i/f/rich_list/NOT__NULL__SNOC', ah4s_lists_MEMu_c0)).
# SZS output end CNFRefutation
