# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X2),s(t_fun(X1,t_bool),X4))))))<=>(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4))))&~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3))))))),file('i/f/pred_set/DISJOINT__INSERT_27', ch4s_predu_u_sets_DISJOINTu_u_INSERTu_27)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/DISJOINT__INSERT_27', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DISJOINT__INSERT_27', aHLu_FALSITY)).
fof(4, axiom,![X1]:![X2]:![X3]:![X4]:(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),X4))),s(t_fun(X1,t_bool),X3))))<=>(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))&~(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X3))))))),file('i/f/pred_set/DISJOINT__INSERT_27', ah4s_predu_u_sets_DISJOINTu_u_INSERT)).
fof(5, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/DISJOINT__INSERT_27', aHLu_BOOLu_CASES)).
fof(6, axiom,![X1]:![X3]:![X4]:s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3)))=s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X4))),file('i/f/pred_set/DISJOINT__INSERT_27', ah4s_predu_u_sets_DISJOINTu_u_SYM)).
# SZS output end CNFRefutation
