# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X1,t_fun(X1,t_bool)),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)),X2),s(X1,X5))),s(X1,X5))))&![X6]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X6))),s(X1,X5))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X6))))))&?[X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X5))),s(X1,X5))))&![X6]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X6))),s(X1,X5))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X6)))))))=>?[X5]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X5))),s(X1,X5))))&![X6]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X6))),s(X1,X5))))=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X6))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X6))))))))),file('i/f/nets/DORDER__LEMMA', ch4s_netss_DORDERu_u_LEMMA)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/nets/DORDER__LEMMA', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/nets/DORDER__LEMMA', aHLu_FALSITY)).
fof(7, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/nets/DORDER__LEMMA', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X2]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X1,t_fun(X1,t_bool)),X2))))<=>![X8]:![X9]:((p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X8))),s(X1,X8))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X9))),s(X1,X9)))))=>?[X10]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X10))),s(X1,X10))))&![X11]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X11))),s(X1,X10))))=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X11))),s(X1,X8))))&p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X11))),s(X1,X9))))))))),file('i/f/nets/DORDER__LEMMA', ah4s_netss_dorder0)).
fof(9, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/nets/DORDER__LEMMA', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
