# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X2)))))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/FINITE__DELETE', ch4s_predu_u_sets_FINITEu_u_DELETE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/FINITE__DELETE', aHLu_TRUTH)).
fof(7, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/pred_set/FINITE__DELETE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X3)))))=s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/FINITE__DELETE', ah4s_predu_u_sets_FINITEu_u_INSERT)).
fof(13, axiom,![X1]:![X2]:![X3]:(~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3)))))<=>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/FINITE__DELETE', ah4s_predu_u_sets_DELETEu_u_NONu_u_ELEMENT)).
fof(16, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3))))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),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/FINITE__DELETE', ah4s_predu_u_sets_INSERTu_u_DELETE)).
# SZS output end CNFRefutation
