# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:s(t_fun(t_fun(X1,t_bool),t_bool),happ(s(t_fun(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_bool)),happ(s(t_fun(X1,t_fun(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_bool))),X2),s(X1,X3))),s(t_fun(t_fun(X1,t_bool),t_bool),X4)))=s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_union(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_predu_u_sets_insert(s(X1,X3))),s(t_fun(t_fun(X1,t_bool),t_bool),X4))),s(t_fun(t_fun(X1,t_bool),t_bool),X4)))=>![X5]:![X3]:s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_predu_u_sets_insert(s(X1,X3))),s(t_fun(X1,t_bool),X5)))))=s(t_fun(t_fun(X1,t_bool),t_bool),h4s_bools_let(s(t_fun(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_bool)),happ(s(t_fun(X1,t_fun(t_fun(t_fun(X1,t_bool),t_bool),t_fun(t_fun(X1,t_bool),t_bool))),X2),s(X1,X3))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/POW__EQNS_c1', ch4s_predu_u_sets_POWu_u_EQNSu_c1)).
fof(48, axiom,![X29]:![X1]:![X10]:![X30]:s(X29,h4s_bools_let(s(t_fun(X1,X29),X10),s(X1,X30)))=s(X29,happ(s(t_fun(X1,X29),X10),s(X1,X30))),file('i/f/pred_set/POW__EQNS_c1', ah4s_bools_LETu_u_DEF)).
fof(51, axiom,![X1]:![X5]:![X3]:s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_predu_u_sets_insert(s(X1,X3))),s(t_fun(X1,t_bool),X5)))))=s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_union(s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_image(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),h4s_predu_u_sets_insert(s(X1,X3))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X5))))),s(t_fun(t_fun(X1,t_bool),t_bool),h4s_predu_u_sets_pow(s(t_fun(X1,t_bool),X5))))),file('i/f/pred_set/POW__EQNS_c1', ah4s_predu_u_sets_POWu_u_INSERT)).
# SZS output end CNFRefutation
