# 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_cons(s(X1,X4),s(t_h4s_lists_list(X1),X3))))))))<=>(s(X1,X2)=s(X1,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),X3)))))))),file('i/f/list/MEM_c1', ch4s_lists_MEMu_c1)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/list/MEM_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/list/MEM_c1', aHLu_FALSITY)).
fof(6, axiom,![X1]:![X5]:![X2]:![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X5),s(t_fun(X1,t_bool),X6))))))<=>(s(X1,X2)=s(X1,X5)|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X6)))))),file('i/f/list/MEM_c1', ah4s_predu_u_sets_INu_u_INSERT)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/list/MEM_c1', aHLu_BOOLu_CASES)).
fof(8, axiom,![X7]:![X3]:![X4]:s(t_fun(X7,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,X4),s(t_h4s_lists_list(X7),X3)))))=s(t_fun(X7,t_bool),h4s_predu_u_sets_insert(s(X7,X4),s(t_fun(X7,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X7),X3))))),file('i/f/list/MEM_c1', ah4s_lists_LISTu_u_TOu_u_SET0u_c1)).
# SZS output end CNFRefutation
