# 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,f))),file('i/f/bag/SUB__BAG__DIFF__simple', aHLu_FALSITY)).
fof(8, axiom,![X11]:((p(s(t_bool,X11))=>p(s(t_bool,f)))<=>s(t_bool,X11)=s(t_bool,f)),file('i/f/bag/SUB__BAG__DIFF__simple', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
fof(24, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/bag/SUB__BAG__DIFF__simple', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(43, axiom,![X1]:![X22]:![X23]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X23),s(t_fun(X1,t_h4s_nums_num),X22))))=>![X24]: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),X23),s(t_fun(X1,t_h4s_nums_num),X24))),s(t_fun(X1,t_h4s_nums_num),X22))))),file('i/f/bag/SUB__BAG__DIFF__simple', ah4s_bags_SUBu_u_BAGu_u_DIFFu_c0)).
fof(52, axiom,![X1]:![X22]:![X23]:(p(s(t_bool,h4s_bags_subu_u_bag(s(t_fun(X1,t_h4s_nums_num),X23),s(t_fun(X1,t_h4s_nums_num),X22))))<=>![X10]:![X13]:(p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X10),s(t_h4s_nums_num,X13),s(t_fun(X1,t_h4s_nums_num),X23))))=>p(s(t_bool,h4s_bags_bagu_u_inn(s(X1,X10),s(t_h4s_nums_num,X13),s(t_fun(X1,t_h4s_nums_num),X22)))))),file('i/f/bag/SUB__BAG__DIFF__simple', ah4s_bags_SUBu_u_BAG0)).
fof(70, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/bag/SUB__BAG__DIFF__simple', aHLu_BOOLu_CASES)).
fof(71, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/bag/SUB__BAG__DIFF__simple', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
