# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(X1,t_bool),X2))))),file('i/f/pred_set/NOT__UNIV__PSUBSET', ch4s_predu_u_sets_NOTu_u_UNIVu_u_PSUBSET)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/NOT__UNIV__PSUBSET', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/NOT__UNIV__PSUBSET', aHLu_FALSITY)).
fof(8, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),h4s_predu_u_sets_univ),s(t_fun(X1,t_bool),X2))))<=>s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)),file('i/f/pred_set/NOT__UNIV__PSUBSET', ah4s_predu_u_sets_UNIVu_u_SUBSET)).
fof(9, axiom,![X1]:![X3]:![X2]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(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),X2),s(t_fun(X1,t_bool),X3))))&~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X3)))),file('i/f/pred_set/NOT__UNIV__PSUBSET', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(12, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/NOT__UNIV__PSUBSET', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
