# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))=s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X2),s(t_fun(X1,t_bool),X3))),file('i/f/pred_set/DISJOINT__SYM', ch4s_predu_u_sets_DISJOINTu_u_SYM)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/pred_set/DISJOINT__SYM', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(29, axiom,![X1]:![X2]:![X3]:(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2))))<=>~(?[X7]:(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X3))))&p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X2))))))),file('i/f/pred_set/DISJOINT__SYM', ah4s_predu_u_sets_INu_u_DISJOINT)).
fof(30, axiom,![X1]:![X7]:~(p(s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/pred_set/DISJOINT__SYM', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(37, axiom,![X1]:![X7]:![X19]:s(t_bool,h4s_bools_in(s(X1,X7),s(t_fun(X1,t_bool),X19)))=s(t_bool,happ(s(t_fun(X1,t_bool),X19),s(X1,X7))),file('i/f/pred_set/DISJOINT__SYM', ah4s_bools_INu_u_DEF)).
# SZS output end CNFRefutation
