# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_fixedpoints_monotone(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2))))=>![X3]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_fixedpoints_gfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2)))))))),file('i/f/fixedPoint/gfp__coinduction', ch4s_fixedPoints_gfpu_u_coinduction)).
fof(28, axiom,![X1]:![X2]:![X3]:s(t_bool,h4s_fixedpoints_dense(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3)))=s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))))),file('i/f/fixedPoint/gfp__coinduction', ah4s_fixedPoints_denseu_u_def)).
fof(29, axiom,![X1]:![X2]:(p(s(t_bool,h4s_fixedpoints_monotone(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2))))=>(p(s(t_bool,h4s_fixedpoints_dense(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),h4s_fixedpoints_gfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2))))))&![X3]:(p(s(t_bool,h4s_fixedpoints_dense(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2),s(t_fun(X1,t_bool),X3))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_fixedpoints_gfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2))))))))),file('i/f/fixedPoint/gfp__coinduction', ah4s_fixedPoints_gfpu_u_greatestu_u_dense)).
fof(31, axiom,p(s(t_bool,t)),file('i/f/fixedPoint/gfp__coinduction', aHLu_TRUTH)).
fof(34, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/fixedPoint/gfp__coinduction', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
