# 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),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))),s(t_fun(X1,t_bool),X2))))<=>(p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X2))))&p(s(t_bool,h4s_predu_u_sets_disjoint(s(t_fun(X1,t_bool),X3),s(t_fun(X1,t_bool),X2)))))),file('i/f/pred_set/DISJOINT__UNION', ch4s_predu_u_sets_DISJOINTu_u_UNION)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/DISJOINT__UNION', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DISJOINT__UNION', aHLu_FALSITY)).
fof(5, axiom,![X5]:![X6]:((p(s(t_bool,X6))=>p(s(t_bool,X5)))=>((p(s(t_bool,X5))=>p(s(t_bool,X6)))=>s(t_bool,X6)=s(t_bool,X5))),file('i/f/pred_set/DISJOINT__UNION', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(15, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)|s(t_bool,X3)=s(t_bool,f)),file('i/f/pred_set/DISJOINT__UNION', aHLu_BOOLu_CASES)).
fof(16, 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))))<=>~(?[X10]:(p(s(t_bool,h4s_bools_in(s(X1,X10),s(t_fun(X1,t_bool),X4))))&p(s(t_bool,h4s_bools_in(s(X1,X10),s(t_fun(X1,t_bool),X3))))))),file('i/f/pred_set/DISJOINT__UNION', ah4s_predu_u_sets_INu_u_DISJOINT)).
fof(18, axiom,![X1]:![X10]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X10),s(t_fun(X1,t_bool),h4s_predu_u_sets_union(s(t_fun(X1,t_bool),X4),s(t_fun(X1,t_bool),X3))))))<=>(p(s(t_bool,h4s_bools_in(s(X1,X10),s(t_fun(X1,t_bool),X4))))|p(s(t_bool,h4s_bools_in(s(X1,X10),s(t_fun(X1,t_bool),X3)))))),file('i/f/pred_set/DISJOINT__UNION', ah4s_predu_u_sets_INu_u_UNION)).
# SZS output end CNFRefutation
