# 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))))=>![X6]:![X7]:![X8]:![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,X6))),s(X2,X7))))&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),X9)))))=>s(t_bool,h4s_bools_in(s(X2,X6),s(t_fun(X2,t_bool),X8)))=s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X9))))),file('i/f/quotient_pred_set/IN__RSP', ch4s_quotientu_u_predu_u_sets_INu_u_RSP)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient_pred_set/IN__RSP', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient_pred_set/IN__RSP', aHLu_FALSITY)).
fof(4, axiom,![X10]:(s(t_bool,X10)=s(t_bool,t)|s(t_bool,X10)=s(t_bool,f)),file('i/f/quotient_pred_set/IN__RSP', aHLu_BOOLu_CASES)).
fof(6, axiom,![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))))=>![X16]:![X10]:![X15]:![X17]:((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),X16),s(t_fun(X2,t_bool),X10))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X5),s(X2,X15))),s(X2,X17)))))=>s(t_bool,h4s_bools_in(s(X2,X15),s(t_fun(X2,t_bool),X16)))=s(t_bool,h4s_bools_in(s(X2,X17),s(t_fun(X2,t_bool),X10))))),file('i/f/quotient_pred_set/IN__RSP', ah4s_quotientu_u_predu_u_sets_SETu_u_RELu_u_MP)).
# SZS output end CNFRefutation
