# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(X1,X2)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/EMPTY__DELETE', ch4s_predu_u_sets_EMPTYu_u_DELETE)).
fof(2, axiom,![X1]:![X2]:~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/EMPTY__DELETE', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(3, axiom,![X1]:![X3]:![X2]:![X4]:(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),X4),s(X1,X3))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4))))&~(s(X1,X2)=s(X1,X3)))),file('i/f/pred_set/EMPTY__DELETE', ah4s_predu_u_sets_INu_u_DELETE)).
fof(4, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/pred_set/EMPTY__DELETE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(6, axiom,![X1]:![X7]:![X4]:(s(t_fun(X1,t_bool),X4)=s(t_fun(X1,t_bool),X7)<=>![X2]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4)))=s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X7)))),file('i/f/pred_set/EMPTY__DELETE', ah4s_predu_u_sets_EXTENSION)).
# SZS output end CNFRefutation
