# 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),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/NOT__PSUBSET__EMPTY', ch4s_predu_u_sets_NOTu_u_PSUBSETu_u_EMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/NOT__PSUBSET__EMPTY', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/NOT__PSUBSET__EMPTY', aHLu_FALSITY)).
fof(10, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/pred_set/NOT__PSUBSET__EMPTY', aHLu_BOOLu_CASES)).
fof(11, axiom,![X1]:![X5]:![X2]:(p(s(t_bool,h4s_predu_u_sets_psubset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X5))))<=>(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X5))))&~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X5)))),file('i/f/pred_set/NOT__PSUBSET__EMPTY', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(12, axiom,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_subset(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))<=>s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/NOT__PSUBSET__EMPTY', ah4s_predu_u_sets_SUBSETu_u_EMPTY)).
# SZS output end CNFRefutation
