# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))=>~(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X2))),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3)))))),file('i/f/set_relation/acyclic__irreflexive', ch4s_setu_u_relations_acyclicu_u_irreflexive)).
fof(43, axiom,![X1]:![X7]:![X2]:![X3]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3),s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X2))),s(X1,X7))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))),s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X2))),s(X1,X7))))))),file('i/f/set_relation/acyclic__irreflexive', ah4s_setu_u_relations_tcu_u_rules0u_c0)).
fof(56, axiom,![X1]:![X2]:![X19]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X19)))=s(t_bool,happ(s(t_fun(X1,t_bool),X19),s(X1,X2))),file('i/f/set_relation/acyclic__irreflexive', ah4s_predu_u_sets_SPECIFICATION)).
fof(65, axiom,![X1]:![X3]:(p(s(t_bool,h4s_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3))))<=>![X2]:~(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),happ(s(t_fun(X1,t_h4s_pairs_prod(X1,X1)),happ(s(t_fun(X1,t_fun(X1,t_h4s_pairs_prod(X1,X1))),h4s_pairs_u_2c),s(X1,X2))),s(X1,X2))),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),h4s_setu_u_relations_tc(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3)))))))),file('i/f/set_relation/acyclic__irreflexive', ah4s_setu_u_relations_acyclicu_u_def)).
fof(71, axiom,p(s(t_bool,t)),file('i/f/set_relation/acyclic__irreflexive', aHLu_TRUTH)).
fof(72, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/set_relation/acyclic__irreflexive', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
