# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:p(s(t_bool,h4s_predu_u_sets_disjoint(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))),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))),file('i/f/pred_set/DISJOINT__SING__EMPTY', ch4s_predu_u_sets_DISJOINTu_u_SINGu_u_EMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/pred_set/DISJOINT__SING__EMPTY', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DISJOINT__SING__EMPTY', aHLu_FALSITY)).
fof(7, axiom,![X1]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))<=>s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)),file('i/f/pred_set/DISJOINT__SING__EMPTY', ah4s_predu_u_sets_DISJOINTu_u_DEF)).
fof(8, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/DISJOINT__SING__EMPTY', aHLu_BOOLu_CASES)).
fof(9, axiom,![X1]:![X4]:s(t_fun(X1,t_bool),h4s_predu_u_sets_inter(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/pred_set/DISJOINT__SING__EMPTY', ah4s_predu_u_sets_INTERu_u_EMPTYu_c1)).
# SZS output end CNFRefutation
