# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X7),s(X1,happ(s(t_fun(X2,X1),X6),s(X2,X4))))),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X3))))))&p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X8),s(X2,X4))),s(X2,X4)))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X7),s(X1,happ(s(t_fun(X2,X1),h4s_bools_resu_u_abstract(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_fun(X2,t_bool)),t_fun(X2,t_bool)),h4s_quotients_respects),s(t_fun(X2,t_fun(X2,t_bool)),X8))),s(t_fun(X2,X1),X6))),s(X2,X4))))),s(X1,happ(s(t_fun(X2,X1),X5),s(X2,X3))))))),file('i/f/quotient/EQUIV__RES__ABSTRACT__LEFT', ch4s_quotients_EQUIVu_u_RESu_u_ABSTRACTu_u_LEFT)).
fof(37, axiom,![X1]:![X2]:![X12]:![X15]:![X30]:(p(s(t_bool,h4s_bools_in(s(X2,X12),s(t_fun(X2,t_bool),X15))))=>s(X1,happ(s(t_fun(X2,X1),h4s_bools_resu_u_abstract(s(t_fun(X2,t_bool),X15),s(t_fun(X2,X1),X30))),s(X2,X12)))=s(X1,happ(s(t_fun(X2,X1),X30),s(X2,X12)))),file('i/f/quotient/EQUIV__RES__ABSTRACT__LEFT', ah4s_resu_u_quans_RESu_u_ABSTRACT)).
fof(49, axiom,![X2]:![X12]:![X39]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X2,t_fun(X2,t_bool)),t_fun(X2,t_bool)),h4s_quotients_respects),s(t_fun(X2,t_fun(X2,t_bool)),X39))),s(X2,X12)))=s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X39),s(X2,X12))),s(X2,X12))),file('i/f/quotient/EQUIV__RES__ABSTRACT__LEFT', ah4s_quotients_RESPECTS)).
fof(52, axiom,![X2]:![X12]:![X24]:s(t_bool,h4s_bools_in(s(X2,X12),s(t_fun(X2,t_bool),X24)))=s(t_bool,happ(s(t_fun(X2,t_bool),X24),s(X2,X12))),file('i/f/quotient/EQUIV__RES__ABSTRACT__LEFT', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
