# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X1))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_fun(t_h4s_nums_num,t_bool),X1)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set),s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,happ(s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set),s(t_fun(t_h4s_nums_num,t_bool),X1))))))),file('i/f/pred_set/SUM__SET__SUBSET__LE', ch4s_predu_u_sets_SUMu_u_SETu_u_SUBSETu_u_LE)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/SUM__SET__SUBSET__LE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SUM__SET__SUBSET__LE', aHLu_FALSITY)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t0)<=>p(s(t_bool,X1))),file('i/f/pred_set/SUM__SET__SUBSET__LE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X10]:![X1]:![X2]:![X11]:((p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X10,t_bool),X2))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X10,t_bool),X1),s(t_fun(X10,t_bool),X2)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,happ(s(t_fun(t_fun(X10,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(X10,t_h4s_nums_num),X11))),s(t_fun(X10,t_bool),X1))),s(t_h4s_nums_num,happ(s(t_fun(t_fun(X10,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(X10,t_h4s_nums_num),X11))),s(t_fun(X10,t_bool),X2))))))),file('i/f/pred_set/SUM__SET__SUBSET__LE', ah4s_predu_u_sets_SUMu_u_IMAGEu_u_SUBSETu_u_LE)).
fof(13, axiom,s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_set)=s(t_fun(t_fun(t_h4s_nums_num,t_bool),t_h4s_nums_num),h4s_predu_u_sets_sumu_u_image(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_combins_i))),file('i/f/pred_set/SUM__SET__SUBSET__LE', ah4s_predu_u_sets_SUMu_u_SETu_u_DEF)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t0)|s(t_bool,X1)=s(t_bool,f)),file('i/f/pred_set/SUM__SET__SUBSET__LE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
