# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((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),X4),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,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),X4))))))))=>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__rule__applied', ch4s_fixedPoints_lfpu_u_ruleu_u_applied)).
fof(2, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/fixedPoint/lfp__rule__applied', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X1]:![X7]:![X16]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X16),s(t_fun(X1,t_bool),X7))))<=>![X8]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X16))))=>p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X7)))))),file('i/f/fixedPoint/lfp__rule__applied', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(23, axiom,![X1]:![X3]:(p(s(t_bool,h4s_fixedpoints_monotone(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3))))=>(s(t_fun(X1,t_bool),h4s_fixedpoints_lfp(s(t_fun(t_fun(X1,t_bool),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)),X3),s(t_fun(X1,t_bool),h4s_fixedpoints_lfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3)))))&![X4]:(s(t_fun(X1,t_bool),X4)=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),X4)))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_fixedpoints_lfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X3))),s(t_fun(X1,t_bool),X4))))))),file('i/f/fixedPoint/lfp__rule__applied', ah4s_fixedPoints_lfpu_u_fixedpoint)).
fof(31, axiom,![X22]:![X1]:![X3]:(p(s(t_bool,h4s_fixedpoints_monotone(s(t_fun(t_fun(X1,t_bool),t_fun(X22,t_bool)),X3))))<=>![X4]:![X23]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X23))))=>p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X22,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X22,t_bool)),X3),s(t_fun(X1,t_bool),X4))),s(t_fun(X22,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X22,t_bool)),X3),s(t_fun(X1,t_bool),X23)))))))),file('i/f/fixedPoint/lfp__rule__applied', ah4s_fixedPoints_monotoneu_u_def)).
# SZS output end CNFRefutation
