# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(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_snoc(s(X1,X3),s(t_h4s_lists_list(X1),X4))))))))<=>(s(X1,X2)=s(X1,X3)|p(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),X4)))))))),file('i/f/list/MEM__SNOC', ch4s_lists_MEMu_u_SNOC)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/list/MEM__SNOC', aHLu_TRUTH)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/list/MEM__SNOC', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(26, axiom,![X5]:(s(t_bool,X5)=s(t_bool,f)<=>~(p(s(t_bool,X5)))),file('i/f/list/MEM__SNOC', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(64, axiom,![X1]:![X3]:![X5]:![X27]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(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,X27))),s(t_h4s_lists_list(X1),X5))))))))<=>(s(X1,X3)=s(X1,X27)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X5)))))))),file('i/f/list/MEM__SNOC', ah4s_lists_MEMu_c1)).
fof(69, axiom,![X1]:![X2]:![X3]:![X34]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X34))))))<=>(s(X1,X3)=s(X1,X2)|p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X34)))))),file('i/f/list/MEM__SNOC', ah4s_predu_u_sets_INu_u_INSERT)).
fof(72, axiom,![X1]:![X3]:![X36]:s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_snoc(s(X1,X3),s(t_h4s_lists_list(X1),X36)))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X36))))),file('i/f/list/MEM__SNOC', ah4s_lists_LISTu_u_TOu_u_SETu_u_SNOC)).
fof(73, axiom,![X26]:![X5]:![X27]:s(t_fun(X26,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X26),happ(s(t_fun(t_h4s_lists_list(X26),t_h4s_lists_list(X26)),happ(s(t_fun(X26,t_fun(t_h4s_lists_list(X26),t_h4s_lists_list(X26))),h4s_lists_cons),s(X26,X27))),s(t_h4s_lists_list(X26),X5)))))=s(t_fun(X26,t_bool),h4s_predu_u_sets_insert(s(X26,X27),s(t_fun(X26,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X26),X5))))),file('i/f/list/MEM__SNOC', ah4s_lists_LISTu_u_TOu_u_SET0u_c1)).
# SZS output end CNFRefutation
