# 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,f))),file('i/f/pred_set/NOT__PSUBSET__EMPTY', aHLu_FALSITY)).
fof(5, 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/pred_set/NOT__PSUBSET__EMPTY', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(48, 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__PSUBSET__EMPTY', ah4s_predu_u_sets_PSUBSETu_u_DEF)).
fof(55, 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)).
fof(64, axiom,(~(p(s(t_bool,f)))<=>p(s(t_bool,t))),file('i/f/pred_set/NOT__PSUBSET__EMPTY', ah4s_bools_NOTu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
