# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/bag/mlt__UNION__LCANCEL', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/mlt__UNION__LCANCEL', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/bag/mlt__UNION__LCANCEL', aHLu_BOOLu_CASES)).
fof(5, axiom,![X7]:![X8]:![X9]:![X10]:![X11]:((p(s(t_bool,h4s_relations_wf(s(t_fun(X7,t_fun(X7,t_bool)),X11))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X7,t_fun(X7,t_bool)),X11)))))=>(p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X7,t_h4s_nums_num),t_fun(t_fun(X7,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X7,t_fun(X7,t_bool)),X11))),s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X10),s(t_fun(X7,t_h4s_nums_num),X8))),s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X9),s(t_fun(X7,t_h4s_nums_num),X8))))))<=>(p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X7,t_h4s_nums_num),t_fun(t_fun(X7,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X7,t_fun(X7,t_bool)),X11))),s(t_fun(X7,t_h4s_nums_num),X10),s(t_fun(X7,t_h4s_nums_num),X9))))&p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X7,t_h4s_nums_num),X8))))))),file('i/f/bag/mlt__UNION__LCANCEL', ah4s_bags_mltu_u_UNIONu_u_RCANCEL)).
fof(6, axiom,![X7]:![X8]:![X9]:![X10]:![X11]:((p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X7,t_h4s_nums_num),t_fun(t_fun(X7,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X7,t_fun(X7,t_bool)),X11))),s(t_fun(X7,t_h4s_nums_num),X10),s(t_fun(X7,t_h4s_nums_num),X9))))&p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X7,t_h4s_nums_num),X8)))))=>p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X7,t_h4s_nums_num),t_fun(t_fun(X7,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X7,t_fun(X7,t_bool)),X11))),s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X10),s(t_fun(X7,t_h4s_nums_num),X8))),s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X9),s(t_fun(X7,t_h4s_nums_num),X8))))))),file('i/f/bag/mlt__UNION__LCANCEL', ah4s_bags_mltu_u_UNIONu_u_RCANCELu_u_I)).
fof(7, axiom,![X7]:![X12]:![X13]:s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X13),s(t_fun(X7,t_h4s_nums_num),X12)))=s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X12),s(t_fun(X7,t_h4s_nums_num),X13))),file('i/f/bag/mlt__UNION__LCANCEL', ah4s_bags_COMMu_u_BAGu_u_UNION)).
fof(133, conjecture,![X7]:![X8]:![X9]:![X10]:![X11]:((p(s(t_bool,h4s_relations_wf(s(t_fun(X7,t_fun(X7,t_bool)),X11))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X7,t_fun(X7,t_bool)),X11)))))=>(p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X7,t_h4s_nums_num),t_fun(t_fun(X7,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X7,t_fun(X7,t_bool)),X11))),s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X8),s(t_fun(X7,t_h4s_nums_num),X10))),s(t_fun(X7,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X7,t_h4s_nums_num),X8),s(t_fun(X7,t_h4s_nums_num),X9))))))<=>(p(s(t_bool,h4s_relations_tc(s(t_fun(t_fun(X7,t_h4s_nums_num),t_fun(t_fun(X7,t_h4s_nums_num),t_bool)),h4s_bags_mlt1(s(t_fun(X7,t_fun(X7,t_bool)),X11))),s(t_fun(X7,t_h4s_nums_num),X10),s(t_fun(X7,t_h4s_nums_num),X9))))&p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X7,t_h4s_nums_num),X8))))))),file('i/f/bag/mlt__UNION__LCANCEL', ch4s_bags_mltu_u_UNIONu_u_LCANCEL)).
# SZS output end CNFRefutation
