# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),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),X4),s(X1,X2))),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X2))))))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ch4s_predu_u_sets_SUBSETu_u_DELETEu_u_BOTH)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/SUBSET__DELETE__BOTH', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SUBSET__DELETE__BOTH', aHLu_FALSITY)).
fof(12, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/SUBSET__DELETE__BOTH', aHLu_BOOLu_CASES)).
fof(17, axiom,![X1]:![X5]:![X12]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X5))))<=>![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X12))))=>p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(18, axiom,![X1]:![X2]:![X5]:![X12]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X5),s(X1,X2))))))<=>(~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X12)))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X12),s(t_fun(X1,t_bool),X5)))))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_predu_u_sets_SUBSETu_u_DELETE)).
fof(19, axiom,![X1]:![X10]:![X2]:![X12]:(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),X12),s(X1,X10))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X12))))&~(s(X1,X2)=s(X1,X10)))),file('i/f/pred_set/SUBSET__DELETE__BOTH', ah4s_predu_u_sets_INu_u_DELETE)).
# SZS output end CNFRefutation
