# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X6),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))))))=>(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X5),s(t_fun(X1,t_h4s_nums_num),X3))))=>p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),X5))),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(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),X3))),s(t_fun(X1,t_h4s_nums_num),X2)))))))),file('i/f/bag/SUB__BAG__UNION_c8', ch4s_bags_SUBu_u_BAGu_u_UNIONu_c8)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/bag/SUB__BAG__UNION_c8', aHLu_FALSITY)).
fof(12, axiom,![X7]:((p(s(t_bool,X7))=>p(s(t_bool,f)))<=>s(t_bool,X7)=s(t_bool,f)),file('i/f/bag/SUB__BAG__UNION_c8', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(18, axiom,![X1]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),X3))))=>(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X5),s(t_fun(X1,t_h4s_nums_num),X4))))=>p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),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),X3)))))))),file('i/f/bag/SUB__BAG__UNION_c8', ah4s_bags_SUBu_u_BAGu_u_UNIONu_c7)).
fof(63, axiom,![X1]:![X4]:![X5]:![X6]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X5),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),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),X5))),s(t_fun(X1,t_h4s_nums_num),X4))),file('i/f/bag/SUB__BAG__UNION_c8', ah4s_bags_ASSOCu_u_BAGu_u_UNION)).
fof(64, axiom,![X1]:![X5]:![X6]:s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X6),s(t_fun(X1,t_h4s_nums_num),X5)))=s(t_fun(X1,t_h4s_nums_num),h4s_bags_bagu_u_union(s(t_fun(X1,t_h4s_nums_num),X5),s(t_fun(X1,t_h4s_nums_num),X6))),file('i/f/bag/SUB__BAG__UNION_c8', ah4s_bags_COMMu_u_BAGu_u_UNION)).
fof(79, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/bag/SUB__BAG__UNION_c8', aHLu_BOOLu_CASES)).
fof(80, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/bag/SUB__BAG__UNION_c8', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
