# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/COMPONENT', ch4s_predu_u_sets_COMPONENT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/COMPONENT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/COMPONENT', aHLu_FALSITY)).
fof(8, axiom,![X1]:![X5]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X5),s(t_fun(X1,t_bool),X3))))))<=>(s(X1,X2)=s(X1,X5)|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/COMPONENT', ah4s_predu_u_sets_INu_u_INSERT)).
fof(9, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/pred_set/COMPONENT', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
