# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/pred_set/REST__SUBSET', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/REST__SUBSET', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/pred_set/REST__SUBSET', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X1]:![X8]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X7,t_bool),X8),s(t_fun(X7,t_bool),X1))))<=>![X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X8))))=>p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X1)))))),file('i/f/pred_set/REST__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(6, axiom,![X7]:![X9]:![X6]:![X8]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_predu_u_sets_delete(s(t_fun(X7,t_bool),X8),s(X7,X9))))))<=>(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X8))))&~(s(X7,X6)=s(X7,X9)))),file('i/f/pred_set/REST__SUBSET', ah4s_predu_u_sets_INu_u_DELETE)).
fof(7, axiom,![X7]:![X8]:s(t_fun(X7,t_bool),h4s_predu_u_sets_rest(s(t_fun(X7,t_bool),X8)))=s(t_fun(X7,t_bool),h4s_predu_u_sets_delete(s(t_fun(X7,t_bool),X8),s(X7,h4s_predu_u_sets_choice(s(t_fun(X7,t_bool),X8))))),file('i/f/pred_set/REST__SUBSET', ah4s_predu_u_sets_RESTu_u_DEF)).
fof(8, conjecture,![X7]:![X8]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X7,t_bool),h4s_predu_u_sets_rest(s(t_fun(X7,t_bool),X8))),s(t_fun(X7,t_bool),X8)))),file('i/f/pred_set/REST__SUBSET', ch4s_predu_u_sets_RESTu_u_SUBSET)).
# SZS output end CNFRefutation
