# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(?[X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2))))&s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),X1)=s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X2))))<=>s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_hrats_hratu_u_repu_u_class(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_absu_u_class(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),X1)))))=s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),X1)),file('i/f/hrat/hrat__ABS__REP__CLASS_c1', ch4s_hrats_hratu_u_ABSu_u_REPu_u_CLASSu_c1)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hrat/hrat__ABS__REP__CLASS_c1', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hrat/hrat__ABS__REP__CLASS_c1', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/hrat/hrat__ABS__REP__CLASS_c1', aHLu_BOOLu_CASES)).
fof(6, axiom,![X9]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_absu_u_class(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_hrats_hratu_u_repu_u_class(s(t_h4s_hrats_hrat,X9)))))=s(t_h4s_hrats_hrat,X9),file('i/f/hrat/hrat__ABS__REP__CLASS_c1', ah4s_hrats_hratu_u_bijectionsu_c0)).
fof(7, axiom,![X2]:(?[X10]:(p(s(t_bool,happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10))))&s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),X2)=s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_hrats_tratu_u_eq(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X10))))<=>s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_hrats_hratu_u_repu_u_class(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_absu_u_class(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),X2)))))=s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),X2)),file('i/f/hrat/hrat__ABS__REP__CLASS_c1', ah4s_hrats_hratu_u_bijectionsu_c1)).
# SZS output end CNFRefutation
