# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X4),s(X1,X2))),s(X1,X3))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))&~(s(X1,X3)=s(X1,X2)))),file('i/f/pred_set/DELETE__applied', ch4s_predu_u_sets_DELETEu_u_applied)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/DELETE__applied', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DELETE__applied', aHLu_FALSITY)).
fof(4, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/DELETE__applied', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X3]:![X10]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X10)))=s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X3))),file('i/f/pred_set/DELETE__applied', ah4s_bools_INu_u_DEF)).
fof(7, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X4),s(X1,X2))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4))))&~(s(X1,X3)=s(X1,X2)))),file('i/f/pred_set/DELETE__applied', ah4s_predu_u_sets_INu_u_DELETE)).
# SZS output end CNFRefutation
