# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/NOT__EMPTY__SING', ch4s_predu_u_sets_NOTu_u_EMPTYu_u_SING)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/NOT__EMPTY__SING', aHLu_FALSITY)).
fof(10, axiom,![X3]:(s(t_bool,f)=s(t_bool,X3)<=>~(p(s(t_bool,X3)))),file('i/f/pred_set/NOT__EMPTY__SING', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(12, axiom,![X1]:![X2]:~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/NOT__EMPTY__SING', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(13, axiom,![X1]:![X7]:![X2]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))))<=>s(X1,X2)=s(X1,X7)),file('i/f/pred_set/NOT__EMPTY__SING', ah4s_predu_u_sets_INu_u_SING)).
# SZS output end CNFRefutation
