# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2)))))=>~(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2)))))))),file('i/f/pred_set/infinite__rest', ch4s_predu_u_sets_infiniteu_u_rest)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/infinite__rest', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/infinite__rest', aHLu_FALSITY)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/pred_set/infinite__rest', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/infinite__rest', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X4]:![X2]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X2),s(X1,X4)))))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X2))),file('i/f/pred_set/infinite__rest', ah4s_predu_u_sets_FINITEu_u_DELETE)).
fof(10, axiom,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_rest(s(t_fun(X1,t_bool),X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X2),s(X1,h4s_predu_u_sets_choice(s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/infinite__rest', ah4s_predu_u_sets_RESTu_u_DEF)).
# SZS output end CNFRefutation
