# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2))))&(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3))))&~(s(t_fun(X1,t_h4s_nums_num),X3)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))=>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)),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))))))),file('i/f/bag/TC__mlt1__UNION1__I', ch4s_bags_TCu_u_mlt1u_u_UNION1u_u_I)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/TC__mlt1__UNION1__I', aHLu_FALSITY)).
fof(20, axiom,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X2))))&(p(s(t_bool,h4s_bags_finiteu_u_bag(s(t_fun(X1,t_h4s_nums_num),X3))))&~(s(t_fun(X1,t_h4s_nums_num),X2)=s(t_fun(X1,t_h4s_nums_num),h4s_bags_emptyu_u_bag))))=>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)),X4))),s(t_fun(X1,t_h4s_nums_num),X3),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))))))),file('i/f/bag/TC__mlt1__UNION1__I', ah4s_bags_TCu_u_mlt1u_u_UNION2u_u_I)).
fof(21, axiom,![X1]:![X2]:![X3]: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)))=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))),file('i/f/bag/TC__mlt1__UNION1__I', ah4s_bags_COMMu_u_BAGu_u_UNION)).
fof(23, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/bag/TC__mlt1__UNION1__I', aHLu_BOOLu_CASES)).
fof(24, axiom,p(s(t_bool,t)),file('i/f/bag/TC__mlt1__UNION1__I', aHLu_TRUTH)).
fof(26, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/bag/TC__mlt1__UNION1__I', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
