# 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),h4s_predu_u_sets_union(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2))))))=>(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_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2)))))),file('i/f/set_relation/acyclic__union0', ch4s_setu_u_relations_acyclicu_u_union0)).
fof(6, axiom,![X12]:![X13]:![X14]:((p(s(t_bool,X14))<=>s(t_bool,X13)=s(t_bool,X12))<=>((p(s(t_bool,X14))|(p(s(t_bool,X13))|p(s(t_bool,X12))))&((p(s(t_bool,X14))|(~(p(s(t_bool,X12)))|~(p(s(t_bool,X13)))))&((p(s(t_bool,X13))|(~(p(s(t_bool,X12)))|~(p(s(t_bool,X14)))))&(p(s(t_bool,X12))|(~(p(s(t_bool,X13)))|~(p(s(t_bool,X14))))))))),file('i/f/set_relation/acyclic__union0', ah4s_sats_dcu_u_eq)).
fof(16, axiom,![X1]:![X12]:(p(s(t_bool,h4s_setu_u_relations_acyclic(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X12))))<=>![X11]:~(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X11),s(X1,X11))),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),X12)))))))),file('i/f/set_relation/acyclic__union0', ah4s_setu_u_relations_acyclicu_u_def)).
fof(17, axiom,![X1]:![X9]:![X11]:![X3]:(p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X11),s(X1,X9))),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))))))=>![X2]:p(s(t_bool,h4s_bools_in(s(t_h4s_pairs_prod(X1,X1),h4s_pairs_u_2c(s(X1,X11),s(X1,X9))),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),h4s_predu_u_sets_union(s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X3),s(t_fun(t_h4s_pairs_prod(X1,X1),t_bool),X2))))))))),file('i/f/set_relation/acyclic__union0', ah4s_setu_u_relations_tcu_u_union)).
fof(18, axiom,![X1]:![X4]:![X15]:s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X15),s(t_fun(X1,t_bool),X4)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X15))),file('i/f/set_relation/acyclic__union0', ah4s_predu_u_sets_UNIONu_u_COMM)).
# SZS output end CNFRefutation
