# 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))))=>p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(t_bool,t_fun(t_bool,t_bool)),d_equals),s(t_fun(X2,t_bool),h4s_predu_u_sets_univ),s(t_fun(X2,t_bool),h4s_predu_u_sets_univ))))),file('i/f/quotient_pred_set/UNIV__RSP', ch4s_quotientu_u_predu_u_sets_UNIVu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient_pred_set/UNIV__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient_pred_set/UNIV__RSP', aHLu_FALSITY)).
fof(7, axiom,![X6]:(s(t_bool,t)=s(t_bool,X6)<=>p(s(t_bool,X6))),file('i/f/quotient_pred_set/UNIV__RSP', ah4s_bools_EQu_u_CLAUSESu_c0)).
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__RSP', ah4s_predu_u_sets_INu_u_UNIV)).
fof(10, axiom,![X2]:![X6]:![X8]:![X5]:(p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(t_fun(t_bool,t_fun(t_bool,t_bool)),d_equals),s(t_fun(X2,t_bool),X8),s(t_fun(X2,t_bool),X6))))<=>![X7]:![X9]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X7))),s(X2,X9))))=>s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X8)))=s(t_bool,h4s_bools_in(s(X2,X9),s(t_fun(X2,t_bool),X6))))),file('i/f/quotient_pred_set/UNIV__RSP', ah4s_quotientu_u_predu_u_sets_SETu_u_REL)).
fof(12, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/quotient_pred_set/UNIV__RSP', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
