# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_setu_u_relations_partialu_u_order(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))=s(t_bool,h4s_relations_weakorder(s(t_fun(X1,t_fun(X1,t_bool)),h4s_setu_u_relations_relnu_u_tou_u_rel(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2))))),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', ch4s_setu_u_relations_partialu_u_orderu_u_relnu_u_tou_u_relu_u_convu_u_UNIV)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', aHLu_TRUTH)).
fof(9, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X11]:![X2]:(p(s(t_bool,h4s_setu_u_relations_partialu_u_order(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2),s(t_fun(X1,t_bool),X11))))<=>(p(s(t_bool,h4s_relations_rsubset(s(t_fun(X1,t_fun(X1,t_bool)),h4s_setu_u_relations_relnu_u_tou_u_rel(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2))),s(t_fun(X1,t_fun(X1,t_bool)),h4s_setu_u_relations_rruniv(s(t_fun(X1,t_bool),X11))))))&p(s(t_bool,h4s_relations_weakorder(s(t_fun(X1,t_fun(X1,t_bool)),h4s_setu_u_relations_rreflu_u_exp(s(t_fun(X1,t_fun(X1,t_bool)),h4s_setu_u_relations_relnu_u_tou_u_rel(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2))),s(t_fun(X1,t_bool),X11)))))))),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', ah4s_setu_u_relations_partialu_u_orderu_u_relnu_u_tou_u_relu_u_conv)).
fof(14, axiom,![X1]:![X16]:![X17]:![X18]:(p(s(t_bool,h4s_relations_rsubset(s(t_fun(X1,t_fun(X16,t_bool)),X18),s(t_fun(X1,t_fun(X16,t_bool)),X17))))<=>![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X1,t_fun(X16,t_bool)),X18),s(X1,X4))),s(X16,X5))))=>p(s(t_bool,happ(s(t_fun(X16,t_bool),happ(s(t_fun(X1,t_fun(X16,t_bool)),X17),s(X1,X4))),s(X16,X5)))))),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', ah4s_relations_RSUBSET0)).
fof(15, axiom,![X1]:![X4]:p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', ah4s_predu_u_sets_INu_u_UNIV)).
fof(16, axiom,![X1]:![X11]:![X4]:![X19]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),h4s_setu_u_relations_rruniv(s(t_fun(X1,t_bool),X11))),s(X1,X4))),s(X1,X19))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X4),s(t_fun(X1,t_bool),X11))))&p(s(t_bool,h4s_bools_in(s(X1,X19),s(t_fun(X1,t_bool),X11)))))),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', ah4s_setu_u_relations_RRUNIVu_u_def)).
fof(17, axiom,![X1]:![X20]:s(t_fun(X1,t_fun(X1,t_bool)),h4s_setu_u_relations_rreflu_u_exp(s(t_fun(X1,t_fun(X1,t_bool)),X20),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))=s(t_fun(X1,t_fun(X1,t_bool)),X20),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', ah4s_setu_u_relations_RREFLu_u_EXPu_u_UNIV)).
fof(18, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', aHLu_BOOLu_CASES)).
fof(19, axiom,~(p(s(t_bool,f))),file('i/f/set_relation/partial__order__reln__to__rel__conv__UNIV', aHLu_FALSITY)).
# SZS output end CNFRefutation
