# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:p(s(t_bool,h4s_lbtrees_mem(s(X1,X4),s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X4),s(t_h4s_lbtrees_lbtree(X1),X3),s(t_h4s_lbtrees_lbtree(X1),X2)))))),file('i/f/lbtree/mem__rules_c0', ch4s_lbtrees_memu_u_rulesu_c0)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/lbtree/mem__rules_c0', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/lbtree/mem__rules_c0', aHLu_FALSITY)).
fof(10, axiom,![X1]:![X8]:![X12]:(p(s(t_bool,h4s_lbtrees_mem(s(X1,X8),s(t_h4s_lbtrees_lbtree(X1),X12))))<=>![X13]:(![X14]:![X15]:((?[X3]:?[X2]:s(t_h4s_lbtrees_lbtree(X1),X15)=s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X14),s(t_h4s_lbtrees_lbtree(X1),X3),s(t_h4s_lbtrees_lbtree(X1),X2)))|(?[X16]:?[X3]:?[X2]:(s(t_h4s_lbtrees_lbtree(X1),X15)=s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X16),s(t_h4s_lbtrees_lbtree(X1),X3),s(t_h4s_lbtrees_lbtree(X1),X2)))&p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),happ(s(t_fun(X1,t_fun(t_h4s_lbtrees_lbtree(X1),t_bool)),X13),s(X1,X14))),s(t_h4s_lbtrees_lbtree(X1),X3)))))|?[X16]:?[X3]:?[X2]:(s(t_h4s_lbtrees_lbtree(X1),X15)=s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X16),s(t_h4s_lbtrees_lbtree(X1),X3),s(t_h4s_lbtrees_lbtree(X1),X2)))&p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),happ(s(t_fun(X1,t_fun(t_h4s_lbtrees_lbtree(X1),t_bool)),X13),s(X1,X14))),s(t_h4s_lbtrees_lbtree(X1),X2)))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),happ(s(t_fun(X1,t_fun(t_h4s_lbtrees_lbtree(X1),t_bool)),X13),s(X1,X14))),s(t_h4s_lbtrees_lbtree(X1),X15)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),happ(s(t_fun(X1,t_fun(t_h4s_lbtrees_lbtree(X1),t_bool)),X13),s(X1,X8))),s(t_h4s_lbtrees_lbtree(X1),X12)))))),file('i/f/lbtree/mem__rules_c0', ah4s_lbtrees_memu_u_def)).
fof(13, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/lbtree/mem__rules_c0', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
