# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(X1,X4))),s(X1,X5))))<=>((p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X5)))))=>s(X1,X4)=s(X1,X5)))=>![X6]:(![X7]:![X3]:![X4]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X6),s(t_fun(X1,t_bool),X7))),s(t_fun(X1,t_bool),X3))),s(X1,X4)))=s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X3))),s(X1,X4)))))=>![X8]:(![X3]:![X4]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X8),s(t_fun(X1,t_bool),X3))),s(X1,X4)))=s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X4)))=>![X3]:![X7]:(p(s(t_bool,h4s_bools_resu_u_existsu_u_unique(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),X3))))<=>(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X8),s(t_fun(X1,t_bool),X3))))))&p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X7),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X8),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X6),s(t_fun(X1,t_bool),X7))),s(t_fun(X1,t_bool),X3))))))))))))),file('i/f/res_quan/RES__EXISTS__UNIQUE', ch4s_resu_u_quans_RESu_u_EXISTSu_u_UNIQUE)).
fof(2, axiom,![X1]:![X2]:(![X9]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X9))),s(X1,X4))),s(X1,X5))))<=>((p(s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X4))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X5)))))=>s(X1,X4)=s(X1,X5)))=>![X6]:(![X4]:![X9]:![X10]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X6),s(t_fun(X1,t_bool),X4))),s(t_fun(X1,t_bool),X9))),s(X1,X10)))=s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_fun(X1,t_bool))),X2),s(t_fun(X1,t_bool),X9))),s(X1,X10)))))=>![X8]:(![X9]:![X4]:s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X8),s(t_fun(X1,t_bool),X9))),s(X1,X4)))=s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X4)))=>![X4]:![X9]:(p(s(t_bool,h4s_bools_resu_u_existsu_u_unique(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X9))))<=>(p(s(t_bool,h4s_bools_resu_u_exists(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X8),s(t_fun(X1,t_bool),X9))))))&p(s(t_bool,h4s_bools_resu_u_forall(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X8),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),happ(s(t_fun(t_fun(X1,t_bool),t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool))),X6),s(t_fun(X1,t_bool),X4))),s(t_fun(X1,t_bool),X9))))))))))))),file('i/f/res_quan/RES__EXISTS__UNIQUE', ah4s_bools_RESu_u_EXISTSu_u_UNIQUEu_u_DEF)).
fof(3, axiom,![X11]:![X12]:![X3]:![X13]:(![X4]:s(X12,happ(s(t_fun(X11,X12),X3),s(X11,X4)))=s(X12,happ(s(t_fun(X11,X12),X13),s(X11,X4)))=>s(t_fun(X11,X12),X3)=s(t_fun(X11,X12),X13)),file('i/f/res_quan/RES__EXISTS__UNIQUE', aHLu_EXT)).
# SZS output end CNFRefutation
