# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_lf))))&![X3]:![X4]:![X5]:((p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),X4))))&p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),X5)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X3),s(t_h4s_lbtrees_lbtree(X1),X4),s(t_h4s_lbtrees_lbtree(X1),X5))))))))=>![X6]:(p(s(t_bool,h4s_lbtrees_finite(s(t_h4s_lbtrees_lbtree(X1),X6))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),X6)))))),file('i/f/lbtree/finite__ind', ch4s_lbtrees_finiteu_u_ind)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/lbtree/finite__ind', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/lbtree/finite__ind', aHLu_FALSITY)).
fof(5, axiom,![X5]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X5))),file('i/f/lbtree/finite__ind', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(10, axiom,![X1]:![X10]:(p(s(t_bool,h4s_lbtrees_finite(s(t_h4s_lbtrees_lbtree(X1),X10))))<=>![X2]:(![X14]:((s(t_h4s_lbtrees_lbtree(X1),X14)=s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_lf)|?[X3]:?[X4]:?[X5]:(s(t_h4s_lbtrees_lbtree(X1),X14)=s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X3),s(t_h4s_lbtrees_lbtree(X1),X4),s(t_h4s_lbtrees_lbtree(X1),X5)))&(p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),X4))))&p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),X5)))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),X14)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_bool),X2),s(t_h4s_lbtrees_lbtree(X1),X10)))))),file('i/f/lbtree/finite__ind', ah4s_lbtrees_finiteu_u_def)).
fof(13, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/lbtree/finite__ind', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
