# 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),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))),s(X1,X4))))<=>s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X4)))))=s(t_fun(X1,t_bool),X3))=>![X3]:p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))))))),file('i/f/util_prob/DELETE__THEN__INSERT', ch4s_utilu_u_probs_DELETEu_u_THENu_u_INSERT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/util_prob/DELETE__THEN__INSERT', aHLu_TRUTH)).
fof(6, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/util_prob/DELETE__THEN__INSERT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X1]:![X14]:![X16]:(p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X16),s(t_fun(X1,t_bool),X14))))<=>![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X16))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X14),s(X1,X4)))))),file('i/f/util_prob/DELETE__THEN__INSERT', ah4s_resu_u_quans_RESu_u_FORALL)).
fof(12, axiom,![X1]:![X4]:![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X3))))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_delete(s(t_fun(X1,t_bool),X3),s(X1,X4)))))=s(t_fun(X1,t_bool),X3)),file('i/f/util_prob/DELETE__THEN__INSERT', ah4s_predu_u_sets_INSERTu_u_DELETE)).
fof(13, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/util_prob/DELETE__THEN__INSERT', aHLu_BOOLu_CASES)).
fof(14, axiom,~(p(s(t_bool,f))),file('i/f/util_prob/DELETE__THEN__INSERT', aHLu_FALSITY)).
# SZS output end CNFRefutation
