# 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(23, axiom,![X1]:![X13]:![X3]:![X14]:((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),X14),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,X13),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),X14))))))))=>p(s(t_bool,h4s_bools_in(s(X1,X13),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(26, axiom,![X1]:![X19]: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),X19)))),file('i/f/fixedPoint/lfp__empty', ah4s_predu_u_sets_EMPTYu_u_SUBSET)).
# SZS output end CNFRefutation
