# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X2))),s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/DELETE__SUBSET', ch4s_predu_u_sets_DELETEu_u_SUBSET)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/DELETE__SUBSET', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DELETE__SUBSET', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X4]:![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4))))<=>![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/DELETE__SUBSET', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(5, 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_delete(s(t_fun(X1,t_bool),X3),s(X1,X5))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3))))&~(s(X1,X2)=s(X1,X5)))),file('i/f/pred_set/DELETE__SUBSET', ah4s_predu_u_sets_INu_u_DELETE)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/pred_set/DELETE__SUBSET', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
