# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(X2,X1),X4),s(t_fun(X1,X2),X3))))=>s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)=s(t_fun(X1,t_bool),h4s_quotients_u_2du_2du_3e(s(t_fun(X1,X2),X3),s(t_fun(t_bool,t_bool),h4s_combins_i),s(t_fun(X2,t_bool),h4s_predu_u_sets_univ)))),file('i/f/quotient_pred_set/UNIV__PRS', ch4s_quotientu_u_predu_u_sets_UNIVu_u_PRS)).
fof(5, axiom,![X6]:(s(t_bool,t)=s(t_bool,X6)<=>p(s(t_bool,X6))),file('i/f/quotient_pred_set/UNIV__PRS', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(7, axiom,![X2]:![X6]:![X8]:(s(t_fun(X2,t_bool),X8)=s(t_fun(X2,t_bool),X6)<=>![X7]:s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X8)))=s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X6)))),file('i/f/quotient_pred_set/UNIV__PRS', ah4s_predu_u_sets_EXTENSION)).
fof(8, axiom,![X2]:![X1]:![X7]:![X8]:![X9]:s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),h4s_quotients_u_2du_2du_3e(s(t_fun(X2,X1),X9),s(t_fun(t_bool,t_bool),h4s_combins_i),s(t_fun(X1,t_bool),X8)))))=s(t_bool,h4s_bools_in(s(X1,happ(s(t_fun(X2,X1),X9),s(X2,X7))),s(t_fun(X1,t_bool),X8))),file('i/f/quotient_pred_set/UNIV__PRS', ah4s_quotientu_u_predu_u_sets_INu_u_SETu_u_MAP)).
fof(9, axiom,![X2]:![X7]:p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),h4s_predu_u_sets_univ)))),file('i/f/quotient_pred_set/UNIV__PRS', ah4s_predu_u_sets_INu_u_UNIV)).
# SZS output end CNFRefutation
