# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X6),s(t_fun(X2,X1),X5),s(t_fun(X1,X2),X4))))=>![X7]:![X8]:![X9]:(p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X6),s(t_fun(X3,t_fun(X3,t_bool)),X7),s(t_fun(X2,X3),X8),s(t_fun(X2,X3),X9))))=>p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X6),s(t_fun(X3,t_fun(X3,t_bool)),X7),s(t_fun(X2,X3),X8),s(t_fun(X2,X3),h4s_bools_resu_u_abstract(s(t_fun(X2,t_bool),h4s_quotients_respects(s(t_fun(X2,t_fun(X2,t_bool)),X6))),s(t_fun(X2,X3),X9)))))))),file('i/f/quotient/ABSTRACT__RES__ABSTRACT', ch4s_quotients_ABSTRACTu_u_RESu_u_ABSTRACT)).
fof(2, axiom,![X3]:![X2]:![X9]:![X8]:![X7]:![X6]:(p(s(t_bool,h4s_quotients_u_3du_3du_3du_3e(s(t_fun(X2,t_fun(X2,t_bool)),X6),s(t_fun(X3,t_fun(X3,t_bool)),X7),s(t_fun(X2,X3),X8),s(t_fun(X2,X3),X9))))<=>![X10]:![X11]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X6),s(X2,X10))),s(X2,X11))))=>p(s(t_bool,happ(s(t_fun(X3,t_bool),happ(s(t_fun(X3,t_fun(X3,t_bool)),X7),s(X3,happ(s(t_fun(X2,X3),X8),s(X2,X10))))),s(X3,happ(s(t_fun(X2,X3),X9),s(X2,X11)))))))),file('i/f/quotient/ABSTRACT__RES__ABSTRACT', ah4s_quotients_FUNu_u_REL)).
fof(3, axiom,![X3]:![X2]:![X10]:![X12]:![X13]:(p(s(t_bool,h4s_bools_in(s(X2,X10),s(t_fun(X2,t_bool),X12))))=>s(X3,happ(s(t_fun(X2,X3),h4s_bools_resu_u_abstract(s(t_fun(X2,t_bool),X12),s(t_fun(X2,X3),X13))),s(X2,X10)))=s(X3,happ(s(t_fun(X2,X3),X13),s(X2,X10)))),file('i/f/quotient/ABSTRACT__RES__ABSTRACT', ah4s_resu_u_quans_RESu_u_ABSTRACT)).
fof(5, axiom,![X2]:![X10]:![X16]:s(t_bool,happ(s(t_fun(X2,t_bool),h4s_quotients_respects(s(t_fun(X2,t_fun(X2,t_bool)),X16))),s(X2,X10)))=s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X16),s(X2,X10))),s(X2,X10))),file('i/f/quotient/ABSTRACT__RES__ABSTRACT', ah4s_quotients_RESPECTS)).
fof(6, axiom,![X3]:![X2]:![X17]:![X18]:![X16]:(p(s(t_bool,h4s_quotients_quotient(s(t_fun(X2,t_fun(X2,t_bool)),X16),s(t_fun(X2,X3),X18),s(t_fun(X3,X2),X17))))=>![X19]:![X20]:(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X16),s(X2,X19))),s(X2,X20))))<=>(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X16),s(X2,X19))),s(X2,X19))))&(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X16),s(X2,X20))),s(X2,X20))))&s(X3,happ(s(t_fun(X2,X3),X18),s(X2,X19)))=s(X3,happ(s(t_fun(X2,X3),X18),s(X2,X20))))))),file('i/f/quotient/ABSTRACT__RES__ABSTRACT', ah4s_quotients_QUOTIENTu_u_REL)).
fof(7, axiom,![X2]:![X10]:![X21]:s(t_bool,h4s_bools_in(s(X2,X10),s(t_fun(X2,t_bool),X21)))=s(t_bool,happ(s(t_fun(X2,t_bool),X21),s(X2,X10))),file('i/f/quotient/ABSTRACT__RES__ABSTRACT', ah4s_predu_u_sets_SPECIFICATION)).
# SZS output end CNFRefutation
