# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(?[X3]:p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2))))<=>~(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))),file('i/f/pred_set/MEMBER__NOT__EMPTY', ch4s_predu_u_sets_MEMBERu_u_NOTu_u_EMPTY)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/MEMBER__NOT__EMPTY', aHLu_FALSITY)).
fof(11, axiom,![X4]:(s(t_bool,X4)=s(t_bool,f)<=>~(p(s(t_bool,X4)))),file('i/f/pred_set/MEMBER__NOT__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(12, axiom,![X1]:![X4]:![X2]:(s(t_fun(X1,t_bool),X2)=s(t_fun(X1,t_bool),X4)<=>![X3]:s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),X4)))),file('i/f/pred_set/MEMBER__NOT__EMPTY', ah4s_predu_u_sets_EXTENSION)).
fof(13, axiom,![X1]:![X3]:~(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/MEMBER__NOT__EMPTY', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
# SZS output end CNFRefutation
