# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_bool,f),file('i/f/pred_set/SING__EMPTY', ch4s_predu_u_sets_SINGu_u_EMPTY)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/SING__EMPTY', aHLu_FALSITY)).
fof(6, axiom,![X2]:(s(t_bool,X2)=s(t_bool,f)<=>~(p(s(t_bool,X2)))),file('i/f/pred_set/SING__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(25, axiom,(p(s(t_bool,f))<=>![X2]:p(s(t_bool,X2))),file('i/f/pred_set/SING__EMPTY', ah4s_bools_Fu_u_DEF)).
fof(30, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/pred_set/SING__EMPTY', aHLu_BOOLu_CASES)).
fof(40, axiom,p(s(t_bool,t)),file('i/f/pred_set/SING__EMPTY', aHLu_TRUTH)).
fof(51, axiom,![X1]:![X16]:(p(s(t_bool,h4s_predu_u_sets_sing(s(t_fun(X1,t_bool),X16))))<=>?[X5]:s(t_fun(X1,t_bool),X16)=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X5),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/SING__EMPTY', ah4s_predu_u_sets_SINGu_u_DEF)).
fof(55, axiom,![X1]:![X5]:![X16]:~(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X5),s(t_fun(X1,t_bool),X16)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/SING__EMPTY', ah4s_predu_u_sets_NOTu_u_INSERTu_u_EMPTY)).
fof(79, axiom,![X1]:![X16]:s(t_fun(X1,t_bool),h4s_predu_u_sets_diff(s(t_fun(X1,t_bool),X16),s(t_fun(X1,t_bool),h4s_predu_u_sets_univ)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/SING__EMPTY', ah4s_predu_u_sets_DIFFu_u_UNIV)).
# SZS output end CNFRefutation
