# 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))))=>(s(t_fun(X1,t_bool),h4s_fixedpoints_gfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2)))=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),h4s_fixedpoints_gfp(s(t_fun(t_fun(X1,t_bool),t_fun(X1,t_bool)),X2)))))&![X3]:(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__greatest__fixedpoint', ch4s_fixedPoints_gfpu_u_greatestu_u_fixedpoint)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/fixedPoint/gfp__greatest__fixedpoint', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X1]:![X16]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X16),s(t_fun(X1,t_bool),X16)))),file('i/f/fixedPoint/gfp__greatest__fixedpoint', ah4s_predu_u_sets_SUBSETu_u_REFL)).
fof(23, axiom,![X1]:![X6]:![X16]:((p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X16),s(t_fun(X1,t_bool),X6))))&p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X6),s(t_fun(X1,t_bool),X16)))))=>s(t_fun(X1,t_bool),X16)=s(t_fun(X1,t_bool),X6)),file('i/f/fixedPoint/gfp__greatest__fixedpoint', ah4s_predu_u_sets_SUBSETu_u_ANTISYM)).
fof(24, 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__greatest__fixedpoint', ah4s_fixedPoints_gfpu_u_greatestu_u_dense)).
fof(32, axiom,![X22]:![X1]:![X2]:(p(s(t_bool,h4s_fixedpoints_monotone(s(t_fun(t_fun(X1,t_bool),t_fun(X22,t_bool)),X2))))<=>![X3]:![X23]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X3),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)),X2),s(t_fun(X1,t_bool),X3))),s(t_fun(X22,t_bool),happ(s(t_fun(t_fun(X1,t_bool),t_fun(X22,t_bool)),X2),s(t_fun(X1,t_bool),X23)))))))),file('i/f/fixedPoint/gfp__greatest__fixedpoint', ah4s_fixedPoints_monotoneu_u_def)).
fof(33, 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__greatest__fixedpoint', ah4s_fixedPoints_denseu_u_def)).
# SZS output end CNFRefutation
