# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_count(s(t_h4s_nums_num,X2)))=s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_count(s(t_h4s_nums_num,X1)))<=>s(t_h4s_nums_num,X2)=s(t_h4s_nums_num,X1)),file('i/f/pred_set/COUNT__11', ch4s_predu_u_sets_COUNTu_u_11)).
fof(22, axiom,![X18]:![X19]:(~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))<=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))))),file('i/f/pred_set/COUNT__11', ah4s_arithmetics_NOTu_u_LESS)).
fof(24, axiom,![X19]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X19)))),file('i/f/pred_set/COUNT__11', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(25, axiom,![X18]:![X19]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X18),s(t_h4s_nums_num,X19))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18)))))=>s(t_h4s_nums_num,X18)=s(t_h4s_nums_num,X19)),file('i/f/pred_set/COUNT__11', ah4s_arithmetics_LESSu_u_EQUALu_u_ANTISYM)).
fof(28, axiom,![X18]:![X19]:s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X19),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_count(s(t_h4s_nums_num,X18)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X19),s(t_h4s_nums_num,X18))),file('i/f/pred_set/COUNT__11', ah4s_predu_u_sets_INu_u_COUNT)).
fof(33, axiom,p(s(t_bool,t)),file('i/f/pred_set/COUNT__11', aHLu_TRUTH)).
fof(34, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/COUNT__11', aHLu_FALSITY)).
fof(35, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/pred_set/COUNT__11', aHLu_BOOLu_CASES)).
fof(44, axiom,![X6]:(s(t_bool,t)=s(t_bool,X6)<=>p(s(t_bool,X6))),file('i/f/pred_set/COUNT__11', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(57, axiom,![X18]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X18))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/pred_set/COUNT__11', ah4s_numerals_numeralu_u_lteu_c1)).
# SZS output end CNFRefutation
