# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_relations_reflexive(s(t_fun(X2,t_fun(X2,t_bool)),X4))))=>p(s(t_bool,h4s_relations_reflexive(s(t_fun(X1,t_fun(X1,t_bool)),h4s_relations_invu_u_image(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(t_fun(X1,X2),X3))))))),file('i/f/relation/reflexive__inv__image', ch4s_relations_reflexiveu_u_invu_u_image)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/relation/reflexive__inv__image', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f0))),file('i/f/relation/reflexive__inv__image', aHLu_FALSITY)).
fof(7, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/relation/reflexive__inv__image', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X2]:![X4]:(p(s(t_bool,h4s_relations_reflexive(s(t_fun(X2,t_fun(X2,t_bool)),X4))))<=>![X6]:p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),X4),s(X2,X6))),s(X2,X6))))),file('i/f/relation/reflexive__inv__image', ah4s_relations_reflexiveu_u_def)).
fof(13, axiom,![X1]:![X2]:![X11]:![X6]:![X3]:![X4]:s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X2,t_fun(X2,t_bool)),h4s_relations_invu_u_image(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(t_fun(X2,X1),X3))),s(X2,X6))),s(X2,X11)))=s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X4),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X6))))),s(X1,happ(s(t_fun(X2,X1),X3),s(X2,X11))))),file('i/f/relation/reflexive__inv__image', ah4s_relations_invu_u_imageu_u_thm)).
fof(14, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f0)),file('i/f/relation/reflexive__inv__image', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
