# 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,X3))),s(X2,X3)))))=>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,h4s_bools_resu_u_abstract(s(t_fun(X2,t_bool),h4s_quotients_respects(s(t_fun(X2,t_fun(X2,t_bool)),X8))),s(t_fun(X2,X1),X5),s(X2,X3))))))),file('i/f/quotient/EQUIV__RES__ABSTRACT__RIGHT', ch4s_quotients_EQUIVu_u_RESu_u_ABSTRACTu_u_RIGHT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/quotient/EQUIV__RES__ABSTRACT__RIGHT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/quotient/EQUIV__RES__ABSTRACT__RIGHT', aHLu_FALSITY)).
fof(6, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/quotient/EQUIV__RES__ABSTRACT__RIGHT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(7, axiom,![X1]:![X2]:![X10]:![X11]:![X12]:(p(s(t_bool,h4s_bools_in(s(X2,X10),s(t_fun(X2,t_bool),X11))))=>s(X1,h4s_bools_resu_u_abstract(s(t_fun(X2,t_bool),X11),s(t_fun(X2,X1),X12),s(X2,X10)))=s(X1,happ(s(t_fun(X2,X1),X12),s(X2,X10)))),file('i/f/quotient/EQUIV__RES__ABSTRACT__RIGHT', ah4s_resu_u_quans_RESu_u_ABSTRACT)).
fof(9, axiom,![X2]:![X10]:![X17]:s(t_bool,h4s_bools_in(s(X2,X10),s(t_fun(X2,t_bool),X17)))=s(t_bool,happ(s(t_fun(X2,t_bool),X17),s(X2,X10))),file('i/f/quotient/EQUIV__RES__ABSTRACT__RIGHT', ah4s_predu_u_sets_SPECIFICATION)).
fof(10, axiom,![X2]:![X10]:![X18]:s(t_bool,happ(s(t_fun(X2,t_bool),h4s_quotients_respects(s(t_fun(X2,t_fun(X2,t_bool)),X18))),s(X2,X10)))=s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X18),s(X2,X10))),s(X2,X10))),file('i/f/quotient/EQUIV__RES__ABSTRACT__RIGHT', ah4s_quotients_RESPECTS)).
fof(11, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/quotient/EQUIV__RES__ABSTRACT__RIGHT', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
