# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,p(s(t_bool,h4s_netss_dorder(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d)))),file('i/f/nets/DORDER__NGE', ch4s_netss_DORDERu_u_NGE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/nets/DORDER__NGE', aHLu_TRUTH)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/nets/DORDER__NGE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X2]:![X3]:![X4]:((p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))&p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X2)))))=>p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X2))))),file('i/f/nets/DORDER__NGE', ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
fof(9, axiom,![X4]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X4)))),file('i/f/nets/DORDER__NGE', ah4s_arithmetics_LESSu_u_EQu_u_REFL)).
fof(10, axiom,![X3]:![X4]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))))|p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X4))))),file('i/f/nets/DORDER__NGE', ah4s_arithmetics_LESSu_u_EQu_u_CASES)).
fof(12, axiom,![X10]:![X8]:(p(s(t_bool,h4s_netss_dorder(s(t_fun(X10,t_fun(X10,t_bool)),X8))))<=>![X9]:![X11]:((p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X10,t_fun(X10,t_bool)),X8),s(X10,X9))),s(X10,X9))))&p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X10,t_fun(X10,t_bool)),X8),s(X10,X11))),s(X10,X11)))))=>?[X12]:(p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X10,t_fun(X10,t_bool)),X8),s(X10,X12))),s(X10,X12))))&![X13]:(p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X10,t_fun(X10,t_bool)),X8),s(X10,X13))),s(X10,X12))))=>(p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X10,t_fun(X10,t_bool)),X8),s(X10,X13))),s(X10,X9))))&p(s(t_bool,happ(s(t_fun(X10,t_bool),happ(s(t_fun(X10,t_fun(X10,t_bool)),X8),s(X10,X13))),s(X10,X11))))))))),file('i/f/nets/DORDER__NGE', ah4s_netss_dorder0)).
fof(13, axiom,![X3]:![X4]:s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_arithmetics_u_3eu_3d),s(t_h4s_nums_num,X3))),s(t_h4s_nums_num,X4)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X4),s(t_h4s_nums_num,X3))),file('i/f/nets/DORDER__NGE', ah4s_arithmetics_GREATERu_u_EQ)).
fof(14, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/nets/DORDER__NGE', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/nets/DORDER__NGE', aHLu_FALSITY)).
# SZS output end CNFRefutation
