# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),happ(s(t_fun(X2,t_fun(X1,t_bool)),X4),s(X2,X5))),s(t_fun(X1,t_bool),h4s_fixedpoints_fnsum(s(t_fun(X2,t_fun(X1,t_bool)),X4),s(t_fun(X2,t_fun(X1,t_bool)),X3),s(X2,X5)))))),file('i/f/fixedPoint/fnsum__SUBSET_c0', ch4s_fixedPoints_fnsumu_u_SUBSETu_c0)).
fof(6, axiom,![X2]:![X6]:![X14]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X2,t_bool),X14),s(t_fun(X2,t_bool),X6))))<=>![X7]:(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X14))))=>p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X6)))))),file('i/f/fixedPoint/fnsum__SUBSET_c0', ah4s_predu_u_sets_SUBSETu_u_DEF)).
fof(7, axiom,![X2]:![X1]:![X15]:![X16]:![X5]:s(t_fun(X2,t_bool),h4s_fixedpoints_fnsum(s(t_fun(X1,t_fun(X2,t_bool)),X16),s(t_fun(X1,t_fun(X2,t_bool)),X15),s(X1,X5)))=s(t_fun(X2,t_bool),h4s_predu_u_sets_union(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X16),s(X1,X5))),s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X15),s(X1,X5))))),file('i/f/fixedPoint/fnsum__SUBSET_c0', ah4s_fixedPoints_fnsumu_u_def)).
fof(9, axiom,![X2]:![X7]:![X6]:![X14]:(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),h4s_predu_u_sets_union(s(t_fun(X2,t_bool),X14),s(t_fun(X2,t_bool),X6))))))<=>(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X14))))|p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X6)))))),file('i/f/fixedPoint/fnsum__SUBSET_c0', ah4s_predu_u_sets_INu_u_UNION)).
# SZS output end CNFRefutation
