# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X5))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X5)))))=>(p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X1,t_h4s_nums_num),t_fun(t_fun(X1,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X2),s(t_fun(X1,t_h4s_nums_num),X4))),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X2),s(t_fun(X1,t_h4s_nums_num),X3))))))<=>(p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X1,t_h4s_nums_num),t_fun(t_fun(X1,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3))))&p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2))))))),file('i/f/bag/mlt__UNION__LCANCEL', ch4s_bags_mltu_u_UNIONu_u_LCANCEL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/mlt__UNION__LCANCEL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bag/mlt__UNION__LCANCEL', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:((p(s(t_bool,h4s_relations_wf(s(t_fun(X1,t_fun(X1,t_bool)),X5))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X5)))))=>(p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X1,t_h4s_nums_num),t_fun(t_fun(X1,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X2))),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X3),s(t_fun(X1,t_h4s_nums_num),X2))))))<=>(p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X1,t_h4s_nums_num),t_fun(t_fun(X1,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X1,t_fun(X1,t_bool)),X5))),s(t_fun(X1,t_h4s_nums_num),X4),s(t_fun(X1,t_h4s_nums_num),X3))))&p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2))))))),file('i/f/bag/mlt__UNION__LCANCEL', ah4s_bags_mltu_u_UNIONu_u_RCANCEL)).
fof(5, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/bag/mlt__UNION__LCANCEL', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X7]:![X8]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X8),s(t_fun(X1,t_h4s_nums_num),X7)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X7),s(t_fun(X1,t_h4s_nums_num),X8))),file('i/f/bag/mlt__UNION__LCANCEL', ah4s_bags_COMMu_u_BAGu_u_UNION)).
# SZS output end CNFRefutation
