# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_fixedpoints_monotone(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3))))&p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))))))=>p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_fixedpoints_lfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3))))))),file('i/f/fixedPoint/lfp__empty', ch4s_fixedPoints_lfpu_u_empty)).
fof(45, axiom,![X1]:![X16]:![X3]:![X26]:((p(s(t_bool,h4s_fixedpoints_monotone(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3))))&(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X26),s(t_fun(X1,t_bool),h4s_fixedpoints_lfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3))))))&p(s(t_bool,h4s_bools_in(s(X1,X16),s(t_fun(X1,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3),s(t_fun(X1,t_bool),X26))))))))=>p(s(t_bool,h4s_bools_in(s(X1,X16),s(t_fun(X1,t_bool),h4s_fixedpoints_lfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3))))))),file('i/f/fixedPoint/lfp__empty', ah4s_fixedPoints_lfpu_u_ruleu_u_applied)).
fof(48, axiom,![X1]:![X2]:![X27]:s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X27)))=s(t_bool,happ(s(t_fun(X1,t_bool),X27),s(X1,X2))),file('i/f/fixedPoint/lfp__empty', ah4s_bools_INu_u_DEF)).
fof(63, axiom,![X1]:![X18]: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),X18)))),file('i/f/fixedPoint/lfp__empty', ah4s_predu_u_sets_EMPTYu_u_SUBSET)).
# SZS output end CNFRefutation
