# 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(X2,t_bool)),h4s_fixedpoints_empty)))),file('i/f/fixedPoint/empty__monotone', ch4s_fixedPoints_emptyu_u_monotone)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/fixedPoint/empty__monotone', aHLu_TRUTH)).
fof(11, axiom,![X2]:![X1]:![X13]:(p(s(t_bool,h4s_fixedpoints_monotone(s(t_fun(t_fun(X1,t_bool),t_fun(X2,t_bool)),X13))))<=>![X15]:![X16]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X15),s(t_fun(X1,t_bool),X16))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X2,t_bool)),X13),s(t_fun(X1,t_bool),X15))),s(t_fun(X2,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X2,t_bool)),X13),s(t_fun(X1,t_bool),X16)))))))),file('i/f/fixedPoint/empty__monotone', ah4s_fixedPoints_monotoneu_u_def)).
fof(12, axiom,![X1]:![X2]:![X4]:s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),h4s_fixedpoints_empty),s(X1,X4)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_empty),file('i/f/fixedPoint/empty__monotone', ah4s_fixedPoints_emptyu_u_def)).
fof(13, axiom,![X1]:![X17]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),s(t_fun(X1,t_bool),X17)))),file('i/f/fixedPoint/empty__monotone', ah4s_predu_u_sets_EMPTYu_u_SUBSET)).
fof(14, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/fixedPoint/empty__monotone', aHLu_BOOLu_CASES)).
fof(15, axiom,~(p(s(t_bool,f))),file('i/f/fixedPoint/empty__monotone', aHLu_FALSITY)).
# SZS output end CNFRefutation
