# 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_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', ch4s_predu_u_sets_DISJOINTu_u_INSERT)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/pred_set/DISJOINT__INSERT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/pred_set/DISJOINT__INSERT', 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__INSERT', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(17, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t0)<=>p(s(t_bool,X3))),file('i/f/pred_set/DISJOINT__INSERT', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(20, 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', aHLu_BOOLu_CASES)).
fof(21, 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))))<=>~(?[X2]:(p(s(t_bool,h4s_bools_in(s(X1,X2),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', ah4s_predu_u_sets_INu_u_DISJOINT)).
fof(22, axiom,![X1]:![X9]:![X2]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X9),s(t_fun(X1,t_bool),X4))))))<=>(s(X1,X2)=s(X1,X9)|p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),X4)))))),file('i/f/pred_set/DISJOINT__INSERT', ah4s_predu_u_sets_INu_u_INSERT)).
# SZS output end CNFRefutation
