# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_relations_strongorder(s(t_fun(X1,t_fun(X1,t_bool)),X2))))=>p(s(t_bool,h4s_relations_order(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/StrongOrd__Ord', ch4s_relations_StrongOrdu_u_Ord)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/StrongOrd__Ord', aHLu_TRUTH)).
fof(6, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/relation/StrongOrd__Ord', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X11]:![X12]:(p(s(t_bool,h4s_relations_order(s(t_fun(X11,t_fun(X11,t_bool)),X12))))<=>(p(s(t_bool,h4s_relations_antisymmetric(s(t_fun(X11,t_fun(X11,t_bool)),X12))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X11,t_fun(X11,t_bool)),X12)))))),file('i/f/relation/StrongOrd__Ord', ah4s_relations_Order0)).
fof(12, axiom,![X11]:![X12]:(p(s(t_bool,h4s_relations_strongorder(s(t_fun(X11,t_fun(X11,t_bool)),X12))))<=>(p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X11,t_fun(X11,t_bool)),X12))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X11,t_fun(X11,t_bool)),X12)))))),file('i/f/relation/StrongOrd__Ord', ah4s_relations_StrongOrder0)).
fof(13, axiom,![X1]:![X2]:((p(s(t_bool,h4s_relations_irreflexive(s(t_fun(X1,t_fun(X1,t_bool)),X2))))&p(s(t_bool,h4s_relations_transitive(s(t_fun(X1,t_fun(X1,t_bool)),X2)))))=>p(s(t_bool,h4s_relations_antisymmetric(s(t_fun(X1,t_fun(X1,t_bool)),X2))))),file('i/f/relation/StrongOrd__Ord', ah4s_relations_irreflu_u_transu_u_impliesu_u_antisym)).
fof(14, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/relation/StrongOrd__Ord', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/relation/StrongOrd__Ord', aHLu_FALSITY)).
# SZS output end CNFRefutation
