# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_diff(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),X3)))),file('i/f/bag/SUB__BAG__DIFF__simple', ch4s_bags_SUBu_u_BAGu_u_DIFFu_u_simple)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/SUB__BAG__DIFF__simple', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/bag/SUB__BAG__DIFF__simple', aHLu_FALSITY)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/bag/SUB__BAG__DIFF__simple', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X6]:![X7]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X7),s(t_fun(X1,t_h4s_nums_num),X6))))=>![X8]:p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_diff(s(t_fun(X1,t_h4s_nums_num),X7),s(t_fun(X1,t_h4s_nums_num),X8))),s(t_fun(X1,t_h4s_nums_num),X6))))),file('i/f/bag/SUB__BAG__DIFF__simple', ah4s_bags_SUBu_u_BAGu_u_DIFFu_c0)).
fof(9, axiom,![X1]:![X6]:![X7]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X7),s(t_fun(X1,t_h4s_nums_num),X6))))<=>![X5]:![X9]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X9),s(t_fun(X1,t_h4s_nums_num),X7))))=>p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X9),s(t_fun(X1,t_h4s_nums_num),X6)))))),file('i/f/bag/SUB__BAG__DIFF__simple', ah4s_bags_SUBu_u_BAG0)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/bag/SUB__BAG__DIFF__simple', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
