# 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_filter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_h4s_nums_num),X2))),s(t_fun(X1,t_h4s_nums_num),X2)))),file('i/f/bag/BAG__FILTER__SUB__BAG', ch4s_bags_BAGu_u_FILTERu_u_SUBu_u_BAG)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/bag/BAG__FILTER__SUB__BAG', aHLu_TRUTH)).
fof(7, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/bag/BAG__FILTER__SUB__BAG', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(12, axiom,![X1]:![X14]:![X15]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X15),s(t_fun(X1,t_h4s_nums_num),X14))))<=>![X5]:![X16]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X16),s(t_fun(X1,t_h4s_nums_num),X15))))=>p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X5),s(t_h4s_nums_num,X16),s(t_fun(X1,t_h4s_nums_num),X14)))))),file('i/f/bag/BAG__FILTER__SUB__BAG', ah4s_bags_SUBu_u_BAG0)).
fof(14, axiom,![X1]:![X21]:![X2]:p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X21),s(t_h4s_nums_num,h4s_nums_0),s(t_fun(X1,t_h4s_nums_num),X2)))),file('i/f/bag/BAG__FILTER__SUB__BAG', ah4s_bags_BAGu_u_INNu_u_0)).
fof(15, axiom,![X1]:![X16]:![X21]:![X2]:![X3]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X21),s(t_h4s_nums_num,X16),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_filter(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_h4s_nums_num),X2))))))<=>(s(t_h4s_nums_num,X16)=s(t_h4s_nums_num,h4s_nums_0)|(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X21))))&p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X21),s(t_h4s_nums_num,X16),s(t_fun(X1,t_h4s_nums_num),X2))))))),file('i/f/bag/BAG__FILTER__SUB__BAG', ah4s_bags_BAGu_u_INNu_u_BAGu_u_FILTER)).
fof(16, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/bag/BAG__FILTER__SUB__BAG', aHLu_BOOLu_CASES)).
fof(17, axiom,~(p(s(t_bool,f))),file('i/f/bag/BAG__FILTER__SUB__BAG', aHLu_FALSITY)).
# SZS output end CNFRefutation
