# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),file('i/f/pred_set/COMPL__EMPTY', ch4s_predu_u_sets_COMPLu_u_EMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/COMPL__EMPTY', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/COMPL__EMPTY', aHLu_FALSITY)).
fof(4, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/COMPL__EMPTY', aHLu_BOOLu_CASES)).
fof(10, axiom,![X2]:(s(t_bool,t)=s(t_bool,X2)<=>p(s(t_bool,X2))),file('i/f/pred_set/COMPL__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(12, axiom,![X1]:![X2]:![X6]:(s(t_fun(X1,t_bool),X6)=s(t_fun(X1,t_bool),X2)<=>![X5]:s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X6)))=s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X2)))),file('i/f/pred_set/COMPL__EMPTY', ah4s_predu_u_sets_EXTENSION)).
fof(13, axiom,![X1]:![X5]:p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/pred_set/COMPL__EMPTY', ah4s_predu_u_sets_INu_u_UNIV)).
fof(14, axiom,![X1]:![X5]:~(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/COMPL__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(15, axiom,![X1]:![X5]:![X6]:(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),X6))))))<=>~(p(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),X6)))))),file('i/f/pred_set/COMPL__EMPTY', ah4s_predu_u_sets_INu_u_COMPL)).
# SZS output end CNFRefutation
