%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP295_1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:33:31 AM UTC 2026
% Result : Theorem 31.27s 5.81s
% Output : Refutation 34.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 85 ( 26 unt; 0 typ; 13 def)
% Number of atoms : 215 ( 17 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 230 ( 100 ~; 105 |; 7 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 36 ( 34 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 28 ( 26 usr; 10 prp; 0-2 aty)
% Number of functors : 197 ( 197 usr; 50 con; 0-3 aty)
% Number of variables : 60 ( 58 !; 2 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
'ZF_set$': $tType ).
tff(type_def_6,type,
'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$': $tType ).
tff(type_def_7,type,
'ZF_ZF_prod_set$': $tType ).
tff(type_def_8,type,
'Nat_nat_bool_fun_fun$': $tType ).
tff(type_def_9,type,
'ZF_ZF_set_fun$': $tType ).
tff(type_def_10,type,
'ZF_ZF_prod_ZF_fun$': $tType ).
tff(type_def_11,type,
'ZF_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_12,type,
'Int_set$': $tType ).
tff(type_def_13,type,
'Int_int_fun$': $tType ).
tff(type_def_14,type,
'ZF_ZF_prod$': $tType ).
tff(type_def_15,type,
'ZF_ZF_prod_ZF_ZF_prod_prod_set$': $tType ).
tff(type_def_16,type,
'Int_ZF_fun$': $tType ).
tff(type_def_17,type,
'ZF_ZF_prod_ZF_ZF_prod_prod$': $tType ).
tff(type_def_18,type,
'Nat_nat_fun$': $tType ).
tff(type_def_19,type,
'ZF_ZF_prod_int_fun$': $tType ).
tff(type_def_20,type,
'Int_nat_fun$': $tType ).
tff(type_def_21,type,
'Nat$': $tType ).
tff(type_def_22,type,
'ZF_ZF_fun$': $tType ).
tff(type_def_23,type,
'ZF_ZF_prod_bool_fun$': $tType ).
tff(type_def_24,type,
'Bool_nat_fun$': $tType ).
tff(type_def_25,type,
'Nat_ZF_set_fun$': $tType ).
tff(type_def_26,type,
tlbool: $tType ).
tff(type_def_27,type,
'Nat_ZF_ZF_prod_set_fun$': $tType ).
tff(type_def_28,type,
'Bool_bool_fun$': $tType ).
tff(type_def_29,type,
'ZF_ZF_prod_nat_fun$': $tType ).
tff(type_def_30,type,
'ZF_bool_fun$': $tType ).
tff(type_def_31,type,
'ZF_nat_fun$': $tType ).
tff(type_def_32,type,
'Nat_bool_fun$': $tType ).
tff(type_def_33,type,
'ZF$': $tType ).
tff(type_def_34,type,
'ZF_int_fun$': $tType ).
tff(type_def_35,type,
'Nat_set$': $tType ).
tff(type_def_36,type,
'Nat_ZF_fun$': $tType ).
tff(type_def_37,type,
'Nat_int_fun$': $tType ).
tff(type_def_38,type,
'ZF_ZF_bool_fun_fun$': $tType ).
tff(func_def_0,type,
'ext_ZF_n$': ( 'ZF_ZF_prod_set$' * 'ZF$' ) > 'Nat_ZF_fun$' ).
tff(func_def_1,type,
'uve$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_2,type,
'fun$': 'ZF$' > 'ZF_ZF_fun$' ).
tff(func_def_3,type,
'case_nat$a': ( tlbool * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_4,type,
'trancl$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_set$' ).
tff(func_def_5,type,
'uu$': 'ZF_ZF_fun$' ).
tff(func_def_6,type,
'comp$c': ( 'Int_nat_fun$' * 'Nat_int_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_7,type,
'uvs$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_8,type,
'uuz$': ( 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_9,type,
'uwa$': ( 'ZF_nat_fun$' * 'ZF_nat_fun$' ) > 'ZF_nat_fun$' ).
tff(func_def_10,type,
'ordering_top$': ( 'Nat_nat_bool_fun_fun$' * 'Nat_nat_bool_fun_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_11,type,
'fun_app$w': ( 'Nat_ZF_set_fun$' * 'Nat$' ) > 'ZF_set$' ).
tff(func_def_12,type,
'fun_app$p': ( 'Int_nat_fun$' * $int ) > 'Nat$' ).
tff(func_def_13,type,
'same_fst$': ( 'ZF_bool_fun$' * 'ZF_ZF_ZF_prod_set_fun$' ) > 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' ).
tff(func_def_14,type,
'fun_app$d': ( 'Nat_ZF_fun$' * 'Nat$' ) > 'ZF$' ).
tff(func_def_15,type,
'fun_app$v': ( 'Nat_ZF_ZF_prod_set_fun$' * 'Nat$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_16,type,
'field$': 'ZF_ZF_fun$' ).
tff(func_def_17,type,
'fun_app$o': ( 'ZF_ZF_prod_nat_fun$' * 'ZF_ZF_prod$' ) > 'Nat$' ).
tff(func_def_18,type,
'uum$': $int > 'Nat_int_fun$' ).
tff(func_def_19,type,
'uvr$': 'Int_int_fun$' ).
tff(func_def_20,type,
'uvj$': ( 'Bool_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_21,type,
'comp$l': ( 'Nat_nat_fun$' * 'ZF_nat_fun$' ) > 'ZF_nat_fun$' ).
tff(func_def_22,type,
'v$': 'ZF$' ).
tff(func_def_23,type,
'uvd$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_24,type,
'uva$': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_25,type,
'uvx$': ( 'ZF_ZF_prod_int_fun$' * 'ZF_ZF_prod_int_fun$' ) > 'ZF_ZF_prod_int_fun$' ).
tff(func_def_26,type,
'zero$': 'Nat$' ).
tff(func_def_27,type,
'fun_app$l': ( 'ZF_int_fun$' * 'ZF$' ) > $int ).
tff(func_def_28,type,
'gbinomial$': $int > 'Nat_int_fun$' ).
tff(func_def_29,type,
'comp$g': ( 'Int_nat_fun$' * 'Int_int_fun$' ) > 'Int_nat_fun$' ).
tff(func_def_30,type,
'relInvImage$a': ( 'ZF_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_31,type,
'singleton$': 'ZF_ZF_fun$' ).
tff(func_def_32,type,
'uuc$': 'ZF_set$' > 'ZF_bool_fun$' ).
tff(func_def_33,type,
'seqSum$': 'Nat_ZF_fun$' > 'ZF$' ).
tff(func_def_34,type,
'uus$': 'Int_int_fun$' ).
tff(func_def_35,type,
'sum$': 'ZF_ZF_fun$' ).
tff(func_def_36,type,
def_5: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_37,type,
'comp$t': ( 'ZF_nat_fun$' * 'Nat_ZF_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_38,type,
'uua$': 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' > 'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$' ).
tff(func_def_39,type,
'nat2nat$': 'ZF_nat_fun$' ).
tff(func_def_40,type,
'comp$f': ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_41,type,
'pred$': 'Nat_nat_fun$' ).
tff(func_def_42,type,
'natInterval$': 'Nat$' > 'Nat_ZF_fun$' ).
tff(func_def_43,type,
'image2$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_44,type,
'fun_app$s': ( 'Int_ZF_fun$' * $int ) > 'ZF$' ).
tff(func_def_45,type,
'u$': 'ZF$' ).
tff(func_def_46,type,
'of_nat$a': 'Nat_nat_fun$' ).
tff(func_def_47,type,
'opair$': 'ZF$' > 'ZF_ZF_fun$' ).
tff(func_def_48,type,
'nat$': 'Int_nat_fun$' ).
tff(func_def_49,type,
'empty$': 'ZF$' ).
tff(func_def_50,type,
'uvi$': ( 'Bool_nat_fun$' * 'Nat_bool_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_51,type,
'uuf$': 'ZF$' > 'ZF_ZF_fun$' ).
tff(func_def_52,type,
'times$a': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_53,type,
'sum$c': ( 'ZF_ZF_prod_nat_fun$' * 'ZF_ZF_prod_set$' ) > 'Nat$' ).
tff(func_def_54,type,
'repl$': ( 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_55,type,
'fun_app$r': ( 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod$' ) > 'ZF$' ).
tff(func_def_56,type,
'comp$a': ( 'Nat_int_fun$' * 'Int_nat_fun$' ) > 'Int_int_fun$' ).
tff(func_def_57,type,
'fun_app$u': ( 'ZF_ZF_set_fun$' * 'ZF$' ) > 'ZF_set$' ).
tff(func_def_58,type,
'uvb$': ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_59,type,
'uvq$': ( 'ZF_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_60,type,
'comp$q': ( 'ZF_int_fun$' * 'Int_ZF_fun$' ) > 'Int_int_fun$' ).
tff(func_def_61,type,
'uvn$': ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_62,type,
'sum$a': ( 'ZF_ZF_prod_int_fun$' * 'ZF_ZF_prod_set$' ) > $int ).
tff(func_def_63,type,
'of_nat$': 'Nat_int_fun$' ).
tff(func_def_64,type,
'uvw$': 'Nat_nat_fun$' ).
tff(func_def_65,type,
'cartProd$': 'ZF$' > 'ZF_ZF_fun$' ).
tff(func_def_66,type,
'relImage$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_67,type,
'times$': $int > 'Int_int_fun$' ).
tff(func_def_68,type,
'universe$': 'ZF_bool_fun$' ).
tff(func_def_69,type,
def_10: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_70,type,
'pair$a': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod$' ) > 'ZF_ZF_prod_ZF_ZF_prod_prod$' ).
tff(func_def_71,type,
'sum$f': ( 'Int_nat_fun$' * 'Int_set$' ) > 'Nat$' ).
tff(func_def_72,type,
def_1: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_73,type,
'comp$b': ( 'Int_ZF_fun$' * 'Int_int_fun$' ) > 'Int_ZF_fun$' ).
tff(func_def_74,type,
'uuv$': 'Nat_nat_fun$' ).
tff(func_def_75,type,
'fun_app$g': ( 'Nat_nat_bool_fun_fun$' * 'Nat$' ) > 'Nat_bool_fun$' ).
tff(func_def_76,type,
'fun_app$j': ( 'ZF_ZF_bool_fun_fun$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_77,type,
'comp$h': ( 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_78,type,
'uuk$': 'ZF_bool_fun$' ).
tff(func_def_79,type,
tltrue: tlbool ).
tff(func_def_80,type,
'uux$': 'ZF_ZF_prod_set$' > 'ZF_ZF_bool_fun_fun$' ).
tff(func_def_81,type,
def_8: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_82,type,
'plus$': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_83,type,
'pFun$': 'ZF$' > 'ZF_ZF_fun$' ).
tff(func_def_84,type,
'uvf$': ( 'ZF_set$' * 'ZF_bool_fun$' ) > 'ZF_bool_fun$' ).
tff(func_def_85,type,
'ext_ZF$': 'ZF_ZF_prod_set$' > 'ZF_ZF_fun$' ).
tff(func_def_86,type,
'is_Elem_of$': 'ZF_ZF_prod_set$' ).
tff(func_def_87,type,
'gr$': ( 'ZF_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_88,type,
'uub$': 'ZF_ZF_prod_set$' > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_89,type,
'uuo$': 'Nat$' > 'Int_nat_fun$' ).
tff(func_def_90,type,
'union$': 'ZF$' > 'ZF_ZF_fun$' ).
tff(func_def_91,type,
'one$': 'Nat$' ).
tff(func_def_92,type,
'comp$n': ( 'Nat_ZF_fun$' * 'Int_nat_fun$' ) > 'Int_ZF_fun$' ).
tff(func_def_93,type,
'comp$': ( 'Nat_ZF_fun$' * 'ZF_nat_fun$' ) > 'ZF_ZF_fun$' ).
tff(func_def_94,type,
'comp$r': ( 'Int_ZF_fun$' * 'Nat_int_fun$' ) > 'Nat_ZF_fun$' ).
tff(func_def_95,type,
'u$a': 'ZF$' ).
tff(func_def_96,type,
'sum$d': ( 'ZF_nat_fun$' * 'ZF_set$' ) > 'Nat$' ).
tff(func_def_97,type,
'the$': 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_98,type,
'uuh$': ( 'ZF$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_99,type,
'comp$m': ( 'Nat_ZF_fun$' * 'Nat_nat_fun$' ) > 'Nat_ZF_fun$' ).
tff(func_def_100,type,
'uvg$': ( 'Nat_nat_fun$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_101,type,
'uvm$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_102,type,
'ext_ZF_hull$': 'ZF_ZF_prod_set$' > 'ZF_ZF_fun$' ).
tff(func_def_103,type,
'implode$': 'ZF_set$' > 'ZF$' ).
tff(func_def_104,type,
'ext$': 'ZF_ZF_prod_set$' > 'ZF_ZF_set_fun$' ).
tff(func_def_105,type,
'comp$i': ( 'ZF_ZF_fun$' * 'Nat_ZF_fun$' ) > 'Nat_ZF_fun$' ).
tff(func_def_106,type,
'nat2Nat$': 'Nat_ZF_fun$' ).
tff(func_def_107,type,
'collect$b': 'ZF_bool_fun$' > 'ZF_set$' ).
tff(func_def_108,type,
'fun_app$': ( 'Int_int_fun$' * $int ) > $int ).
tff(func_def_109,type,
def_9: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_110,type,
'comp$p': ( 'ZF_ZF_fun$' * 'Int_ZF_fun$' ) > 'Int_ZF_fun$' ).
tff(func_def_111,type,
'of_nat_aux$a': ( 'Int_int_fun$' * 'Nat$' ) > 'Int_int_fun$' ).
tff(func_def_112,type,
'relInvImage$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' ).
tff(func_def_113,type,
'uvp$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_ZF_fun$' ) > 'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$' ).
tff(func_def_114,type,
'fun_app$n': ( 'Bool_nat_fun$' * tlbool ) > 'Nat$' ).
tff(func_def_115,type,
'uvu$': 'Int_int_fun$' ).
tff(func_def_116,type,
'uvz$': ( 'ZF_ZF_prod_nat_fun$' * 'ZF_ZF_prod_nat_fun$' ) > 'ZF_ZF_prod_nat_fun$' ).
tff(func_def_117,type,
'sum$g': ( 'Int_int_fun$' * 'Int_set$' ) > $int ).
tff(func_def_118,type,
'sucNat$': 'ZF_ZF_fun$' ).
tff(func_def_119,type,
'uvt$': 'Int_int_fun$' ).
tff(func_def_120,type,
'uui$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_121,type,
'isFun$': 'ZF_bool_fun$' ).
tff(func_def_122,type,
'fun_app$h': ( 'Nat_int_fun$' * 'Nat$' ) > $int ).
tff(func_def_123,type,
'of_nat_aux$': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat_nat_fun$' ).
tff(func_def_124,type,
'fun_app$b': ( 'ZF_ZF_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_125,type,
'less_eq$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_126,type,
'app$': 'ZF$' > 'ZF_ZF_fun$' ).
tff(func_def_127,type,
'comp$d': ( 'Int_int_fun$' * 'Nat_int_fun$' ) > 'Nat_int_fun$' ).
tff(func_def_128,type,
'uuy$': 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_129,type,
'range$': 'ZF_ZF_fun$' ).
tff(func_def_130,type,
'case_nat$': ( 'Nat$' * 'Nat_nat_fun$' ) > 'Nat_nat_fun$' ).
tff(func_def_131,type,
'lambda$': ( 'ZF$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_132,type,
def_4: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_133,type,
'uug$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_134,type,
'collect$': 'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$' > 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' ).
tff(func_def_135,type,
'comp$j': ( 'Nat_nat_fun$' * 'Int_nat_fun$' ) > 'Int_nat_fun$' ).
tff(func_def_136,type,
tlfalse: tlbool ).
tff(func_def_137,type,
'sum$b': ( 'ZF_int_fun$' * 'ZF_set$' ) > $int ).
tff(func_def_138,type,
'uvv$': 'Int_int_fun$' ).
tff(func_def_139,type,
'uvo$': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_bool_fun$' ).
tff(func_def_140,type,
'sum$e': ( 'Nat_nat_fun$' * 'Nat_set$' ) > 'Nat$' ).
tff(func_def_141,type,
'uuu$': ( 'ZF_ZF_prod_set$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_142,type,
'elem$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_143,type,
'inf$': 'ZF$' ).
tff(func_def_144,type,
'comp$k': ( 'ZF_nat_fun$' * 'ZF_ZF_fun$' ) > 'ZF_nat_fun$' ).
tff(func_def_145,type,
'uut$': 'Nat_nat_fun$' ).
tff(func_def_146,type,
def_2: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_147,type,
def_6: ( 'Bool_bool_fun$' * tlbool ) > tlbool ).
tff(func_def_148,type,
'comp$e': ( 'Int_int_fun$' * 'Int_int_fun$' ) > 'Int_int_fun$' ).
tff(func_def_149,type,
'abs$': 'Int_int_fun$' ).
tff(func_def_150,type,
'comp$s': ( 'Nat_int_fun$' * 'Nat_nat_fun$' ) > 'Nat_int_fun$' ).
tff(func_def_151,type,
'power$': 'ZF_ZF_fun$' ).
tff(func_def_152,type,
'sep$': ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_153,type,
'uue$': 'ZF_ZF_fun$' > 'ZF_ZF_fun$' ).
tff(func_def_154,type,
'uun$': 'ZF$' > 'Int_ZF_fun$' ).
tff(func_def_155,type,
'uul$': ( tlbool * 'ZF$' * 'ZF$' ) > 'ZF_bool_fun$' ).
tff(func_def_156,type,
'uud$': ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_fun$' ).
tff(func_def_157,type,
'fun_app$t': ( 'ZF_ZF_ZF_prod_set_fun$' * 'ZF$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_158,type,
'fun_app$a': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).
tff(func_def_159,type,
'domain$': 'ZF_ZF_fun$' ).
tff(func_def_160,type,
'comp$o': ( 'ZF_nat_fun$' * 'Int_ZF_fun$' ) > 'Int_nat_fun$' ).
tff(func_def_161,type,
'upair$': 'ZF$' > 'ZF_ZF_fun$' ).
tff(func_def_162,type,
'uvl$': 'Nat_bool_fun$' ).
tff(func_def_163,type,
'suc$': 'Nat_nat_fun$' ).
tff(func_def_164,type,
'uvc$': 'Nat_nat_bool_fun_fun$' ).
tff(func_def_165,type,
'binomial$': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_166,type,
'uvh$': ( 'Nat_bool_fun$' * 'Nat_nat_fun$' ) > 'Nat_bool_fun$' ).
tff(func_def_167,type,
'pair$': ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_prod$' ).
tff(func_def_168,type,
'uvy$': ( 'ZF_int_fun$' * 'ZF_int_fun$' ) > 'ZF_int_fun$' ).
tff(func_def_169,type,
'nat$a': 'ZF$' ).
tff(func_def_170,type,
'image2$a': ( 'ZF_set$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF_ZF_prod_set$' ).
tff(func_def_171,type,
'uur$': 'Nat$' > 'Nat_nat_fun$' ).
tff(func_def_172,type,
def_3: ( 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_173,type,
def_7: ( tlbool * 'Nat_bool_fun$' * 'Nat$' ) > tlbool ).
tff(func_def_174,type,
'explode$': 'ZF_ZF_set_fun$' ).
tff(func_def_175,type,
'uuj$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_176,type,
'uup$': $int > 'Int_int_fun$' ).
tff(func_def_177,type,
'uvk$': 'Nat_bool_fun$' ).
tff(func_def_178,type,
'fun_app$q': ( 'ZF_nat_fun$' * 'ZF$' ) > 'Nat$' ).
tff(func_def_179,type,
'uuq$': 'ZF$' > 'Nat_ZF_fun$' ).
tff(func_def_180,type,
'subset$': 'ZF$' > 'ZF_bool_fun$' ).
tff(func_def_181,type,
'uuw$': 'Int_int_fun$' ).
tff(func_def_182,type,
'collect$a': 'ZF_ZF_prod_bool_fun$' > 'ZF_ZF_prod_set$' ).
tff(func_def_183,type,
'fun_app$k': ( 'ZF_ZF_prod_int_fun$' * 'ZF_ZF_prod$' ) > $int ).
tff(func_def_190,type,
sK0: ( 'ZF_ZF_fun$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_191,type,
sK1: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_192,type,
sK2: ( 'ZF_ZF_fun$' * 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_193,type,
sK3: ( 'ZF$' * 'ZF_bool_fun$' ) > 'ZF$' ).
tff(func_def_194,type,
sK4: ( 'ZF_bool_fun$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_195,type,
sK5: 'ZF_bool_fun$' > 'ZF$' ).
tff(func_def_196,type,
sK6: ( 'ZF$' * 'ZF$' ) > 'ZF$' ).
tff(func_def_197,type,
sK7: ( 'ZF$' * 'ZF$' ) > 'ZF_ZF_fun$' ).
tff(func_def_198,type,
sK8: ( 'ZF$' * 'ZF_ZF_fun$' * 'ZF_ZF_fun$' ) > 'ZF$' ).
tff(func_def_199,type,
sF9: 'ZF$' ).
tff(func_def_200,type,
sF10: 'ZF_bool_fun$' ).
tff(func_def_201,type,
sF11: 'ZF_ZF_fun$' ).
tff(func_def_202,type,
sF12: 'ZF$' ).
tff(pred_def_1,type,
'fun_app$c': ( 'ZF_bool_fun$' * 'ZF$' ) > $o ).
tff(pred_def_2,type,
'wfzf$': 'ZF_ZF_prod_set$' > $o ).
tff(pred_def_3,type,
'fun_app$e': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod$' ) > $o ).
tff(pred_def_4,type,
'less_eq$a': ( 'ZF_ZF_prod_set$' * 'ZF_ZF_prod_set$' ) > $o ).
tff(pred_def_5,type,
'fun_app$m': ( 'Bool_bool_fun$' * tlbool ) > $o ).
tff(pred_def_6,type,
'set_like$': 'ZF_ZF_prod_set$' > $o ).
tff(pred_def_7,type,
'less_eq$c': ( 'ZF_ZF_bool_fun_fun$' * 'ZF_ZF_bool_fun_fun$' ) > $o ).
tff(pred_def_8,type,
'member$b': ( 'ZF$' * 'ZF_set$' ) > $o ).
tff(pred_def_9,type,
'member$a': ( 'ZF_ZF_prod$' * 'ZF_ZF_prod_set$' ) > $o ).
tff(pred_def_10,type,
'less_eq$b': ( 'ZF_set$' * 'ZF_set$' ) > $o ).
tff(pred_def_11,type,
'is_measure$': 'Int_nat_fun$' > $o ).
tff(pred_def_12,type,
'fun_app$i': ( 'ZF_ZF_prod_ZF_ZF_prod_prod_bool_fun$' * 'ZF_ZF_prod_ZF_ZF_prod_prod$' ) > $o ).
tff(pred_def_13,type,
'member$': ( 'ZF_ZF_prod_ZF_ZF_prod_prod$' * 'ZF_ZF_prod_ZF_ZF_prod_prod_set$' ) > $o ).
tff(pred_def_14,type,
'less_eq$d': ( 'ZF_ZF_prod_bool_fun$' * 'ZF_ZF_prod_bool_fun$' ) > $o ).
tff(pred_def_15,type,
'less_eq$e': ( 'ZF_bool_fun$' * 'ZF_bool_fun$' ) > $o ).
tff(pred_def_16,type,
'regular$': 'ZF_ZF_prod_set$' > $o ).
tff(pred_def_17,type,
'fun_app$f': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).
tff(f6,axiom,
! [X0: 'ZF$'] : ( 'fun_app$b'('uu$',X0) = 'fun_app$b'('singleton$','fun_app$b'('opair$'(X0),'v$')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
tff(f55,conjecture,
'fun_app$c'('elem$'('lambda$'('u$','uu$')),'fun_app$b'('fun$'('u$'),'u$a')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture54) ).
tff(f56,negated_conjecture,
~ 'fun_app$c'('elem$'('lambda$'('u$','uu$')),'fun_app$b'('fun$'('u$'),'u$a')),
inference(negated_conjecture,[status(cth)],[f55]) ).
tff(f57,axiom,
'fun_app$c'('elem$'('u$'),'u$a'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis55) ).
tff(f58,axiom,
'fun_app$c'('elem$'('v$'),'u$a'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hypothesis56) ).
tff(f60,axiom,
! [X1: 'ZF$',X0: 'ZF$'] :
( ( 'fun_app$c'('elem$'(X1),X0)
& 'fun_app$c'('elem$'(X0),'u$a') )
=> 'fun_app$c'('elem$'(X1),'u$a') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom58) ).
tff(f61,axiom,
! [X1: 'ZF$',X0: 'ZF$'] :
( ( 'fun_app$c'('elem$'(X1),'u$a')
& 'fun_app$c'('elem$'(X0),'u$a') )
=> 'fun_app$c'('elem$'('fun_app$b'('opair$'(X0),X1)),'u$a') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom59) ).
tff(f62,axiom,
! [X0: 'ZF$'] :
( 'fun_app$c'('elem$'(X0),'u$a')
=> 'fun_app$c'('elem$'('fun_app$b'('singleton$',X0)),'u$a') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom60) ).
tff(f67,axiom,
! [X1: 'ZF_ZF_fun$',X2: 'ZF$',X0: 'ZF$'] :
( ! [X3: 'ZF$'] :
( 'fun_app$c'('elem$'(X3),X0)
=> 'fun_app$c'('elem$'('fun_app$b'(X1,X3)),X2) )
=> 'fun_app$c'('elem$'('lambda$'(X0,X1)),'fun_app$b'('fun$'(X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom65) ).
tff(f861,plain,
~ 'fun_app$c'('elem$'('lambda$'('u$','uu$')),'fun_app$b'('fun$'('u$'),'u$a')),
inference(flattening,[],[f56]) ).
tff(f867,plain,
! [X1: 'ZF$',X2: 'ZF$',X0: 'ZF_ZF_fun$'] :
( ! [X3: 'ZF$'] :
( 'fun_app$c'('elem$'(X3),X2)
=> 'fun_app$c'('elem$'('fun_app$b'(X0,X3)),X1) )
=> 'fun_app$c'('elem$'('lambda$'(X2,X0)),'fun_app$b'('fun$'(X2),X1)) ),
inference(rectify,[],[f67]) ).
tff(f872,plain,
! [X1: 'ZF$',X0: 'ZF$'] :
( ( 'fun_app$c'('elem$'(X1),'u$a')
& 'fun_app$c'('elem$'(X0),'u$a') )
=> 'fun_app$c'('elem$'('fun_app$b'('opair$'(X1),X0)),'u$a') ),
inference(rectify,[],[f61]) ).
tff(f873,plain,
! [X0: 'ZF$',X1: 'ZF$'] :
( ( 'fun_app$c'('elem$'(X0),X1)
& 'fun_app$c'('elem$'(X1),'u$a') )
=> 'fun_app$c'('elem$'(X0),'u$a') ),
inference(rectify,[],[f60]) ).
tff(f876,plain,
! [X0: 'ZF_ZF_fun$',X2: 'ZF$',X1: 'ZF$'] :
( 'fun_app$c'('elem$'('lambda$'(X2,X0)),'fun_app$b'('fun$'(X2),X1))
| ? [X3: 'ZF$'] :
( ~ 'fun_app$c'('elem$'('fun_app$b'(X0,X3)),X1)
& 'fun_app$c'('elem$'(X3),X2) ) ),
inference(ennf_transformation,[],[f867]) ).
tff(f878,plain,
! [X0: 'ZF$'] :
( 'fun_app$c'('elem$'('fun_app$b'('singleton$',X0)),'u$a')
| ~ 'fun_app$c'('elem$'(X0),'u$a') ),
inference(ennf_transformation,[],[f62]) ).
tff(f880,plain,
! [X0: 'ZF$',X1: 'ZF$'] :
( 'fun_app$c'('elem$'(X0),'u$a')
| ~ 'fun_app$c'('elem$'(X0),X1)
| ~ 'fun_app$c'('elem$'(X1),'u$a') ),
inference(ennf_transformation,[],[f873]) ).
tff(f881,plain,
! [X1: 'ZF$',X0: 'ZF$'] :
( ~ 'fun_app$c'('elem$'(X0),X1)
| 'fun_app$c'('elem$'(X0),'u$a')
| ~ 'fun_app$c'('elem$'(X1),'u$a') ),
inference(flattening,[],[f880]) ).
tff(f882,plain,
! [X1: 'ZF$',X0: 'ZF$'] :
( 'fun_app$c'('elem$'('fun_app$b'('opair$'(X1),X0)),'u$a')
| ~ 'fun_app$c'('elem$'(X1),'u$a')
| ~ 'fun_app$c'('elem$'(X0),'u$a') ),
inference(ennf_transformation,[],[f872]) ).
tff(f883,plain,
! [X0: 'ZF$',X1: 'ZF$'] :
( ~ 'fun_app$c'('elem$'(X1),'u$a')
| ~ 'fun_app$c'('elem$'(X0),'u$a')
| 'fun_app$c'('elem$'('fun_app$b'('opair$'(X1),X0)),'u$a') ),
inference(flattening,[],[f882]) ).
tff(f902,plain,
! [X0: 'ZF$',X1: 'ZF$'] :
( ~ 'fun_app$c'('elem$'(X1),X0)
| 'fun_app$c'('elem$'(X1),'u$a')
| ~ 'fun_app$c'('elem$'(X0),'u$a') ),
inference(rectify,[],[f881]) ).
tff(f912,plain,
! [X0: 'ZF_ZF_fun$',X1: 'ZF$',X2: 'ZF$'] :
( 'fun_app$c'('elem$'('lambda$'(X1,X0)),'fun_app$b'('fun$'(X1),X2))
| ? [X3: 'ZF$'] :
( ~ 'fun_app$c'('elem$'('fun_app$b'(X0,X3)),X2)
& 'fun_app$c'('elem$'(X3),X1) ) ),
inference(rectify,[],[f876]) ).
tff(f913,plain,
! [X0: 'ZF_ZF_fun$',X1: 'ZF$',X2: 'ZF$'] :
( 'fun_app$c'('elem$'('lambda$'(X1,X0)),'fun_app$b'('fun$'(X1),X2))
| ( ~ 'fun_app$c'('elem$'('fun_app$b'(X0,sK2(X0,X1,X2))),X2)
& 'fun_app$c'('elem$'(sK2(X0,X1,X2)),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f912]) ).
tff(f928,plain,
! [X0: 'ZF$',X1: 'ZF$'] :
( 'fun_app$c'('elem$'(X1),'u$a')
| ~ 'fun_app$c'('elem$'(X0),'u$a')
| ~ 'fun_app$c'('elem$'(X1),X0) ),
inference(cnf_transformation,[],[f902]) ).
tff(f933,plain,
~ 'fun_app$c'('elem$'('lambda$'('u$','uu$')),'fun_app$b'('fun$'('u$'),'u$a')),
inference(cnf_transformation,[],[f861]) ).
tff(f943,plain,
! [X2: 'ZF$',X0: 'ZF_ZF_fun$',X1: 'ZF$'] :
( 'fun_app$c'('elem$'('lambda$'(X1,X0)),'fun_app$b'('fun$'(X1),X2))
| 'fun_app$c'('elem$'(sK2(X0,X1,X2)),X1) ),
inference(cnf_transformation,[],[f913]) ).
tff(f944,plain,
! [X2: 'ZF$',X0: 'ZF_ZF_fun$',X1: 'ZF$'] :
( 'fun_app$c'('elem$'('lambda$'(X1,X0)),'fun_app$b'('fun$'(X1),X2))
| ~ 'fun_app$c'('elem$'('fun_app$b'(X0,sK2(X0,X1,X2))),X2) ),
inference(cnf_transformation,[],[f913]) ).
tff(f945,plain,
'fun_app$c'('elem$'('u$'),'u$a'),
inference(cnf_transformation,[],[f57]) ).
tff(f950,plain,
! [X0: 'ZF$',X1: 'ZF$'] :
( 'fun_app$c'('elem$'('fun_app$b'('opair$'(X1),X0)),'u$a')
| ~ 'fun_app$c'('elem$'(X0),'u$a')
| ~ 'fun_app$c'('elem$'(X1),'u$a') ),
inference(cnf_transformation,[],[f883]) ).
tff(f953,plain,
! [X0: 'ZF$'] :
( 'fun_app$c'('elem$'('fun_app$b'('singleton$',X0)),'u$a')
| ~ 'fun_app$c'('elem$'(X0),'u$a') ),
inference(cnf_transformation,[],[f878]) ).
tff(f958,plain,
'fun_app$c'('elem$'('v$'),'u$a'),
inference(cnf_transformation,[],[f58]) ).
tff(f970,plain,
! [X0: 'ZF$'] : ( 'fun_app$b'('uu$',X0) = 'fun_app$b'('singleton$','fun_app$b'('opair$'(X0),'v$')) ),
inference(cnf_transformation,[],[f6]) ).
tff(f977,definition,
sF9 = 'lambda$'('u$','uu$'),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
tff(f978,plain,
'lambda$'('u$','uu$') = sF9,
inference(reorient_equations,[],[f977]) ).
tff(f979,definition,
sF10 = 'elem$'(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
tff(f980,definition,
sF11 = 'fun$'('u$'),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
tff(f981,plain,
'fun$'('u$') = sF11,
inference(reorient_equations,[],[f980]) ).
tff(f982,definition,
sF12 = 'fun_app$b'(sF11,'u$a'),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
tff(f983,plain,
'fun_app$b'(sF11,'u$a') = sF12,
inference(reorient_equations,[],[f982]) ).
tff(f984,plain,
~ 'fun_app$c'(sF10,sF12),
inference(definition_folding,[],[f933,f983,f981,f979,f978]) ).
tff(f986,definition,
( spl13_1
<=> ( sF10 = 'elem$'(sF9) ) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
tff(f988,plain,
( ( sF10 = 'elem$'(sF9) )
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f986]) ).
tff(f989,plain,
spl13_1,
inference(avatar_split_clause,[],[f979,f986]) ).
tff(f991,definition,
( spl13_2
<=> ( 'lambda$'('u$','uu$') = sF9 ) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
tff(f993,plain,
( ( 'lambda$'('u$','uu$') = sF9 )
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f991]) ).
tff(f994,plain,
spl13_2,
inference(avatar_split_clause,[],[f978,f991]) ).
tff(f1001,definition,
( spl13_4
<=> 'fun_app$c'('elem$'('u$'),'u$a') ),
introduced(definition,[new_symbols(definition,[spl13_4])],[avatar_definition]) ).
tff(f1003,plain,
( 'fun_app$c'('elem$'('u$'),'u$a')
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f1001]) ).
tff(f1004,plain,
spl13_4,
inference(avatar_split_clause,[],[f945,f1001]) ).
tff(f1006,definition,
( spl13_5
<=> ( 'fun_app$b'(sF11,'u$a') = sF12 ) ),
introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).
tff(f1008,plain,
( ( 'fun_app$b'(sF11,'u$a') = sF12 )
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f1006]) ).
tff(f1009,plain,
spl13_5,
inference(avatar_split_clause,[],[f983,f1006]) ).
tff(f1011,definition,
( spl13_6
<=> 'fun_app$c'('elem$'('v$'),'u$a') ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
tff(f1013,plain,
( 'fun_app$c'('elem$'('v$'),'u$a')
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f1011]) ).
tff(f1014,plain,
spl13_6,
inference(avatar_split_clause,[],[f958,f1011]) ).
tff(f1016,definition,
( spl13_7
<=> 'fun_app$c'(sF10,sF12) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
tff(f1018,plain,
( ~ 'fun_app$c'(sF10,sF12)
| spl13_7 ),
inference(avatar_component_clause,[],[f1016]) ).
tff(f1019,plain,
~ spl13_7,
inference(avatar_split_clause,[],[f984,f1016]) ).
tff(f1031,definition,
( spl13_10
<=> ( 'fun$'('u$') = sF11 ) ),
introduced(definition,[new_symbols(definition,[spl13_10])],[avatar_definition]) ).
tff(f1033,plain,
( ( 'fun$'('u$') = sF11 )
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f1031]) ).
tff(f1034,plain,
spl13_10,
inference(avatar_split_clause,[],[f981,f1031]) ).
tff(f1072,plain,
! [X0: 'ZF$'] :
( 'fun_app$c'('elem$'('fun_app$b'('uu$',X0)),'u$a')
| ~ 'fun_app$c'('elem$'('fun_app$b'('opair$'(X0),'v$')),'u$a') ),
inference(superposition,[],[f953,f970]) ).
tff(f1317,plain,
( ! [X0: 'ZF$'] :
( 'fun_app$c'('elem$'(sF9),'fun_app$b'('fun$'('u$'),X0))
| 'fun_app$c'('elem$'(sK2('uu$','u$',X0)),'u$') )
| ~ spl13_2 ),
inference(superposition,[],[f943,f993]) ).
tff(f1319,plain,
( ! [X0: 'ZF$'] :
( 'fun_app$c'('elem$'(sF9),'fun_app$b'(sF11,X0))
| 'fun_app$c'('elem$'(sK2('uu$','u$',X0)),'u$') )
| ~ spl13_2
| ~ spl13_10 ),
inference(forward_demodulation,[],[f1317,f1033]) ).
tff(f1320,plain,
( ! [X0: 'ZF$'] :
( 'fun_app$c'('elem$'(sK2('uu$','u$',X0)),'u$')
| 'fun_app$c'(sF10,'fun_app$b'(sF11,X0)) )
| ~ spl13_1
| ~ spl13_2
| ~ spl13_10 ),
inference(forward_demodulation,[],[f1319,f988]) ).
tff(f1583,plain,
( ! [X0: 'ZF$'] :
( ~ 'fun_app$c'('elem$'('fun_app$b'('uu$',sK2('uu$','u$',X0))),X0)
| 'fun_app$c'('elem$'(sF9),'fun_app$b'('fun$'('u$'),X0)) )
| ~ spl13_2 ),
inference(superposition,[],[f944,f993]) ).
tff(f1585,plain,
( ! [X0: 'ZF$'] :
( 'fun_app$c'('elem$'(sF9),'fun_app$b'(sF11,X0))
| ~ 'fun_app$c'('elem$'('fun_app$b'('uu$',sK2('uu$','u$',X0))),X0) )
| ~ spl13_2
| ~ spl13_10 ),
inference(forward_demodulation,[],[f1583,f1033]) ).
tff(f1586,plain,
( ! [X0: 'ZF$'] :
( ~ 'fun_app$c'('elem$'('fun_app$b'('uu$',sK2('uu$','u$',X0))),X0)
| 'fun_app$c'(sF10,'fun_app$b'(sF11,X0)) )
| ~ spl13_1
| ~ spl13_2
| ~ spl13_10 ),
inference(forward_demodulation,[],[f1585,f988]) ).
tff(f2270,plain,
( 'fun_app$c'(sF10,'fun_app$b'(sF11,'u$a'))
| ~ 'fun_app$c'('elem$'('fun_app$b'('opair$'(sK2('uu$','u$','u$a')),'v$')),'u$a')
| ~ spl13_1
| ~ spl13_2
| ~ spl13_10 ),
inference(resolution,[],[f1586,f1072]) ).
tff(f2272,plain,
( 'fun_app$c'(sF10,sF12)
| ~ 'fun_app$c'('elem$'('fun_app$b'('opair$'(sK2('uu$','u$','u$a')),'v$')),'u$a')
| ~ spl13_1
| ~ spl13_2
| ~ spl13_5
| ~ spl13_10 ),
inference(forward_demodulation,[],[f2270,f1008]) ).
tff(f2274,plain,
( ~ 'fun_app$c'('elem$'('fun_app$b'('opair$'(sK2('uu$','u$','u$a')),'v$')),'u$a')
| ~ spl13_1
| ~ spl13_2
| ~ spl13_5
| spl13_7
| ~ spl13_10 ),
inference(forward_subsumption_resolution,[],[f2272,f1018]) ).
tff(f2277,definition,
( spl13_100
<=> 'fun_app$c'('elem$'('fun_app$b'('opair$'(sK2('uu$','u$','u$a')),'v$')),'u$a') ),
introduced(definition,[new_symbols(definition,[spl13_100])],[avatar_definition]) ).
tff(f2279,plain,
( ~ 'fun_app$c'('elem$'('fun_app$b'('opair$'(sK2('uu$','u$','u$a')),'v$')),'u$a')
| spl13_100 ),
inference(avatar_component_clause,[],[f2277]) ).
tff(f2280,plain,
( ~ spl13_100
| ~ spl13_1
| ~ spl13_2
| ~ spl13_5
| spl13_7
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f2274,f1031,f1016,f1006,f991,f986,f2277]) ).
tff(f2307,plain,
( ~ 'fun_app$c'('elem$'('v$'),'u$a')
| ~ 'fun_app$c'('elem$'(sK2('uu$','u$','u$a')),'u$a')
| spl13_100 ),
inference(resolution,[],[f2279,f950]) ).
tff(f2328,plain,
( ~ 'fun_app$c'('elem$'(sK2('uu$','u$','u$a')),'u$a')
| ~ spl13_6
| spl13_100 ),
inference(forward_subsumption_resolution,[],[f2307,f1013]) ).
tff(f2334,definition,
( spl13_106
<=> 'fun_app$c'('elem$'(sK2('uu$','u$','u$a')),'u$a') ),
introduced(definition,[new_symbols(definition,[spl13_106])],[avatar_definition]) ).
tff(f2336,plain,
( ~ 'fun_app$c'('elem$'(sK2('uu$','u$','u$a')),'u$a')
| spl13_106 ),
inference(avatar_component_clause,[],[f2334]) ).
tff(f2337,plain,
( ~ spl13_106
| ~ spl13_6
| spl13_100 ),
inference(avatar_split_clause,[],[f2328,f2277,f1011,f2334]) ).
tff(f2410,plain,
( ! [X0: 'ZF$'] :
( ~ 'fun_app$c'('elem$'(sK2('uu$','u$','u$a')),X0)
| ~ 'fun_app$c'('elem$'(X0),'u$a') )
| spl13_106 ),
inference(resolution,[],[f2336,f928]) ).
tff(f2557,plain,
( 'fun_app$c'(sF10,'fun_app$b'(sF11,'u$a'))
| ~ 'fun_app$c'('elem$'('u$'),'u$a')
| ~ spl13_1
| ~ spl13_2
| ~ spl13_10
| spl13_106 ),
inference(resolution,[],[f2410,f1320]) ).
tff(f2564,plain,
( 'fun_app$c'(sF10,'fun_app$b'(sF11,'u$a'))
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_10
| spl13_106 ),
inference(forward_subsumption_resolution,[],[f2557,f1003]) ).
tff(f2565,plain,
( 'fun_app$c'(sF10,sF12)
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_10
| spl13_106 ),
inference(forward_demodulation,[],[f2564,f1008]) ).
tff(f2566,plain,
( $false
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| spl13_7
| ~ spl13_10
| spl13_106 ),
inference(forward_subsumption_resolution,[],[f2565,f1018]) ).
tff(f2567,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_4
| ~ spl13_5
| spl13_7
| ~ spl13_10
| spl13_106 ),
inference(avatar_contradiction_clause,[],[f2566]) ).
tff(f2568,plain,
$false,
inference(avatar_smt_refutation,[],[f2567,f2337,f2280,f1034,f1019,f1014,f1009,f1004,f994,f989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP295_1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n016.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 12:58:17 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.42/1.92 % (2613081)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.42/1.92 % (2613094)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1445487413:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.42/1.92 % (2613094)Instruction limit reached!
% 5.42/1.92 % (2613094)------------------------------
% 5.42/1.92 % (2613094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.92 % (2613094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.92 % (2613094)CaDiCaL version: 2.1.3
% 5.42/1.92 % (2613094)Termination reason: Instruction limit
% 5.42/1.92 % (2613094)Termination phase: Property scanning
% 5.42/1.92 % (2613094)Time elapsed: 0.016 s
% 5.42/1.92 % (2613094)Peak memory usage: 86 MB
% 5.42/1.92 % (2613094)Instructions burned: 34 (million)
% 5.42/1.92 % (2613091)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3206668696:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.42/1.92 % (2613092)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1044627095:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.42/1.92 % (2613093)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=335149444:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.42/1.92 % (2613089)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=649936904:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.42/1.92 % (2613088)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3452319301:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.42/1.92 % (2613090)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2627136513:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.42/1.92 % (2613092)Instruction limit reached!
% 5.42/1.92 % (2613092)------------------------------
% 5.42/1.92 % (2613092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.92 % (2613092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.92 % (2613092)CaDiCaL version: 2.1.3
% 5.42/1.92 % (2613092)Termination reason: Instruction limit
% 5.42/1.92 % (2613092)Termination phase: shuffling
% 5.42/1.92 % (2613092)Time elapsed: 0.005 s
% 5.42/1.92 % (2613092)Peak memory usage: 85 MB
% 5.42/1.92 % (2613092)Instructions burned: 4 (million)
% 5.42/1.92 % (2613091)Instruction limit reached!
% 5.42/1.92 % (2613091)------------------------------
% 5.42/1.92 % (2613091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.92 % (2613091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.92 % (2613091)CaDiCaL version: 2.1.3
% 5.42/1.92 % (2613091)Termination reason: Instruction limit
% 5.42/1.92 % (2613091)Termination phase: Property scanning
% 5.42/1.92 % (2613091)Time elapsed: 0.008 s
% 5.42/1.92 % (2613091)Peak memory usage: 86 MB
% 5.42/1.92 % (2613091)Instructions burned: 8 (million)
% 5.42/1.92 % (2613088)Instruction limit reached!
% 5.42/1.92 % (2613088)------------------------------
% 5.42/1.92 % (2613088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.92 % (2613088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.92 % (2613088)CaDiCaL version: 2.1.3
% 5.42/1.92 % (2613088)Termination reason: Instruction limit
% 5.42/1.92 % (2613088)Termination phase: Property scanning
% 5.42/1.92 % (2613088)Time elapsed: 0.011 s
% 5.42/1.92 % (2613088)Peak memory usage: 85 MB
% 5.42/1.92 % (2613088)Instructions burned: 12 (million)
% 5.42/1.92 % (2613093)Instruction limit reached!
% 5.42/1.92 % (2613093)------------------------------
% 5.42/1.92 % (2613093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.92 % (2613093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.92 % (2613093)CaDiCaL version: 2.1.3
% 5.42/1.92 % (2613093)Termination reason: Instruction limit
% 5.42/1.92 % (2613093)Termination phase: Preprocessing 3
% 5.42/1.92 % (2613093)Time elapsed: 0.045 s
% 5.42/1.92 % (2613093)Peak memory usage: 88 MB
% 5.42/1.92 % (2613093)Instructions burned: 47 (million)
% 5.42/1.92 % (2613096)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=111660198:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.42/1.92 % (2613096)Instruction limit reached!
% 5.42/1.92 % (2613096)------------------------------
% 8.04/2.17 % (2613096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.17 % (2613096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.17 % (2613096)CaDiCaL version: 2.1.3
% 8.04/2.17 % (2613096)Termination reason: Instruction limit
% 8.04/2.17 % (2613096)Termination phase: Property scanning
% 8.04/2.17 % (2613096)Time elapsed: 0.014 s
% 8.04/2.17 % (2613096)Peak memory usage: 86 MB
% 8.04/2.17 % (2613096)Instructions burned: 15 (million)
% 8.04/2.17 % (2613090)Instruction limit reached!
% 8.04/2.17 % (2613090)------------------------------
% 8.04/2.17 % (2613090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.17 % (2613090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.17 % (2613090)CaDiCaL version: 2.1.3
% 8.04/2.17 % (2613090)Termination reason: Instruction limit
% 8.04/2.17 % (2613090)Termination phase: Saturation
% 8.04/2.17 % (2613090)Time elapsed: 0.201 s
% 8.04/2.17 % (2613090)Peak memory usage: 114 MB
% 8.04/2.17 % (2613090)Instructions burned: 201 (million)
% 8.04/2.17 % (2613104)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=279816909:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 8.04/2.17 % (2613104)Instruction limit reached!
% 8.04/2.17 % (2613104)------------------------------
% 8.04/2.17 % (2613104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.17 % (2613104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.17 % (2613104)CaDiCaL version: 2.1.3
% 8.04/2.17 % (2613104)Termination reason: Instruction limit
% 8.04/2.17 % (2613104)Termination phase: Property scanning
% 8.04/2.17 % (2613104)Time elapsed: 0.009 s
% 8.04/2.17 % (2613104)Peak memory usage: 86 MB
% 8.04/2.17 % (2613104)Instructions burned: 19 (million)
% 8.04/2.17 % (2613103)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=636245068:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2996 on theBenchmark for (2996ds/29Mi)
% 8.04/2.17 % (2613105)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1750509597:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 8.04/2.17 % (2613105)Instruction limit reached!
% 8.04/2.17 % (2613105)------------------------------
% 8.04/2.17 % (2613105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.17 % (2613105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.17 % (2613105)CaDiCaL version: 2.1.3
% 8.04/2.17 % (2613105)Termination reason: Instruction limit
% 8.04/2.17 % (2613105)Termination phase: Property scanning
% 8.04/2.17 % (2613105)Time elapsed: 0.022 s
% 8.04/2.17 % (2613105)Peak memory usage: 86 MB
% 8.04/2.17 % (2613105)Instructions burned: 25 (million)
% 8.04/2.17 % (2613103)Instruction limit reached!
% 8.04/2.17 % (2613103)------------------------------
% 8.04/2.17 % (2613103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.17 % (2613103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.17 % (2613103)CaDiCaL version: 2.1.3
% 8.04/2.17 % (2613103)Termination reason: Instruction limit
% 8.04/2.17 % (2613103)Termination phase: Property scanning
% 8.04/2.17 % (2613103)Time elapsed: 0.026 s
% 8.04/2.17 % (2613103)Peak memory usage: 86 MB
% 8.04/2.17 % (2613103)Instructions burned: 30 (million)
% 8.04/2.17 % (2613106)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3399735616:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 8.04/2.17 % (2613106)Instruction limit reached!
% 8.04/2.17 % (2613106)------------------------------
% 8.04/2.17 % (2613106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.17 % (2613106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/2.17 % (2613106)CaDiCaL version: 2.1.3
% 8.04/2.17 % (2613106)Termination reason: Instruction limit
% 8.04/2.17 % (2613106)Termination phase: Property scanning
% 8.04/2.17 % (2613106)Time elapsed: 0.024 s
% 8.04/2.17 % (2613106)Peak memory usage: 86 MB
% 8.04/2.17 % (2613106)Instructions burned: 28 (million)
% 8.04/2.17 % (2613089)Instruction limit reached!
% 8.04/2.17 % (2613089)------------------------------
% 8.04/2.17 % (2613089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.04/2.17 % (2613089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.39 % (2613089)CaDiCaL version: 2.1.3
% 8.47/2.39 % (2613089)Termination reason: Instruction limit
% 8.47/2.39 % (2613089)Termination phase: Saturation
% 8.47/2.39 % (2613089)Time elapsed: 0.330 s
% 8.47/2.39 % (2613089)Peak memory usage: 119 MB
% 8.47/2.39 % (2613089)Instructions burned: 308 (million)
% 8.47/2.39 % (2613108)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3469051141:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 8.47/2.39 % (2613111)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3273665683:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 8.47/2.39 % (2613110)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2066836108:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 8.47/2.39 % (2613110)Instruction limit reached!
% 8.47/2.39 % (2613110)------------------------------
% 8.47/2.39 % (2613110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.39 % (2613110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.39 % (2613110)CaDiCaL version: 2.1.3
% 8.47/2.39 % (2613110)Termination reason: Instruction limit
% 8.47/2.39 % (2613110)Termination phase: shuffling
% 8.47/2.39 % (2613110)Time elapsed: 0.004 s
% 8.47/2.39 % (2613110)Peak memory usage: 85 MB
% 8.47/2.39 % (2613110)Instructions burned: 3 (million)
% 8.47/2.39 % (2613114)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2806338066:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 8.47/2.39 % (2613114)Instruction limit reached!
% 8.47/2.39 % (2613114)------------------------------
% 8.47/2.39 % (2613114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.39 % (2613114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.39 % (2613114)CaDiCaL version: 2.1.3
% 8.47/2.39 % (2613114)Termination reason: Instruction limit
% 8.47/2.39 % (2613114)Termination phase: shuffling
% 8.47/2.39 % (2613114)Time elapsed: 0.003 s
% 8.47/2.39 % (2613114)Peak memory usage: 85 MB
% 8.47/2.39 % (2613114)Instructions burned: 4 (million)
% 8.47/2.39 % (2613108)Instruction limit reached!
% 8.47/2.39 % (2613108)------------------------------
% 8.47/2.39 % (2613108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.39 % (2613108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.39 % (2613108)CaDiCaL version: 2.1.3
% 8.47/2.39 % (2613108)Termination reason: Instruction limit
% 8.47/2.39 % (2613108)Termination phase: Naming
% 8.47/2.39 % (2613108)Time elapsed: 0.073 s
% 8.47/2.39 % (2613108)Peak memory usage: 87 MB
% 8.47/2.39 % (2613108)Instructions burned: 85 (million)
% 8.47/2.39 % (2613115)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3570352479:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 8.47/2.39 % (2613115)Instruction limit reached!
% 8.47/2.39 % (2613115)------------------------------
% 8.47/2.39 % (2613115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.39 % (2613115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.39 % (2613115)CaDiCaL version: 2.1.3
% 8.47/2.39 % (2613115)Termination reason: Instruction limit
% 8.47/2.39 % (2613115)Termination phase: Preprocessing 3
% 8.47/2.39 % (2613115)Time elapsed: 0.042 s
% 8.47/2.39 % (2613115)Peak memory usage: 89 MB
% 8.47/2.39 % (2613115)Instructions burned: 66 (million)
% 8.47/2.39 % (2613118)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=1724631868:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 8.47/2.39 % (2613117)lrs+10_1_thi=all:si=on:fd=off:random_seed=1089510587:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 8.47/2.39 % (2613111)Instruction limit reached!
% 8.47/2.39 % (2613111)------------------------------
% 8.47/2.39 % (2613111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.47/2.39 % (2613111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/2.39 % (2613111)CaDiCaL version: 2.1.3
% 8.47/2.39 % (2613111)Termination reason: Instruction limit
% 8.47/2.39 % (2613111)Termination phase: Saturation
% 8.47/2.39 % (2613111)Time elapsed: 0.190 s
% 8.47/2.39 % (2613111)Peak memory usage: 91 MB
% 8.47/2.39 % (2613111)Instructions burned: 181 (million)
% 9.50/2.68 % (2613118)Instruction limit reached!
% 9.50/2.68 % (2613118)------------------------------
% 9.50/2.68 % (2613118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.50/2.68 % (2613118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.68 % (2613118)CaDiCaL version: 2.1.3
% 9.50/2.68 % (2613118)Termination reason: Instruction limit
% 9.50/2.68 % (2613118)Termination phase: Property scanning
% 9.50/2.68 % (2613118)Time elapsed: 0.009 s
% 9.50/2.68 % (2613118)Peak memory usage: 85 MB
% 9.50/2.68 % (2613118)Instructions burned: 9 (million)
% 9.50/2.68 % (2613117)Instruction limit reached!
% 9.50/2.68 % (2613117)------------------------------
% 9.50/2.68 % (2613117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.50/2.68 % (2613117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.68 % (2613117)CaDiCaL version: 2.1.3
% 9.50/2.68 % (2613117)Termination reason: Instruction limit
% 9.50/2.68 % (2613117)Termination phase: Property scanning
% 9.50/2.68 % (2613117)Time elapsed: 0.044 s
% 9.50/2.68 % (2613117)Peak memory usage: 85 MB
% 9.50/2.68 % (2613117)Instructions burned: 54 (million)
% 9.50/2.68 % (2613123)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3999226041:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 9.50/2.68 % (2613123)Instruction limit reached!
% 9.50/2.68 % (2613123)------------------------------
% 9.50/2.68 % (2613123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.50/2.68 % (2613123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.68 % (2613123)CaDiCaL version: 2.1.3
% 9.50/2.68 % (2613123)Termination reason: Instruction limit
% 9.50/2.68 % (2613123)Termination phase: shuffling
% 9.50/2.68 % (2613123)Time elapsed: 0.002 s
% 9.50/2.68 % (2613123)Peak memory usage: 85 MB
% 9.50/2.68 % (2613123)Instructions burned: 3 (million)
% 9.50/2.68 % (2613125)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1129315458:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 9.50/2.68 % (2613126)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2128796878:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 9.50/2.68 % (2613125)Instruction limit reached!
% 9.50/2.68 % (2613125)------------------------------
% 9.50/2.68 % (2613125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.50/2.68 % (2613125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.68 % (2613125)CaDiCaL version: 2.1.3
% 9.50/2.68 % (2613125)Termination reason: Instruction limit
% 9.50/2.68 % (2613125)Termination phase: shuffling
% 9.50/2.68 % (2613125)Time elapsed: 0.004 s
% 9.50/2.68 % (2613125)Peak memory usage: 85 MB
% 9.50/2.68 % (2613125)Instructions burned: 3 (million)
% 9.50/2.68 % (2613128)dis+10_1_si=on:random_seed=2113055440:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 9.50/2.68 % (2613128)Instruction limit reached!
% 9.50/2.68 % (2613128)------------------------------
% 9.50/2.68 % (2613128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.50/2.68 % (2613128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.68 % (2613128)CaDiCaL version: 2.1.3
% 9.50/2.68 % (2613128)Termination reason: Instruction limit
% 9.50/2.68 % (2613128)Termination phase: Property scanning
% 9.50/2.68 % (2613128)Time elapsed: 0.011 s
% 9.50/2.68 % (2613128)Peak memory usage: 86 MB
% 9.50/2.68 % (2613128)Instructions burned: 11 (million)
% 9.50/2.68 % (2613132)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=2098562888:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 9.50/2.68 % (2613126)Instruction limit reached!
% 9.50/2.68 % (2613126)------------------------------
% 9.50/2.68 % (2613126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.50/2.68 % (2613126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/2.68 % (2613126)CaDiCaL version: 2.1.3
% 9.50/2.68 % (2613126)Termination reason: Instruction limit
% 9.50/2.68 % (2613126)Termination phase: Property scanning
% 9.50/2.68 % (2613126)Time elapsed: 0.111 s
% 9.50/2.68 % (2613126)Peak memory usage: 89 MB
% 9.50/2.68 % (2613126)Instructions burned: 127 (million)
% 9.50/2.68 % (2613131)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2661824234:i=26:canc=cautious:av=off:rtra=on_2990 on theBenchmark for (2990ds/26Mi)
% 14.45/3.10 % (2613132)Instruction limit reached!
% 14.45/3.10 % (2613132)------------------------------
% 14.45/3.10 % (2613132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.45/3.10 % (2613132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/3.10 % (2613132)CaDiCaL version: 2.1.3
% 14.45/3.10 % (2613132)Termination reason: Instruction limit
% 14.45/3.10 % (2613132)Termination phase: Property scanning
% 14.45/3.10 % (2613132)Time elapsed: 0.031 s
% 14.45/3.10 % (2613132)Peak memory usage: 86 MB
% 14.45/3.10 % (2613132)Instructions burned: 36 (million)
% 14.45/3.10 % (2613131)Instruction limit reached!
% 14.45/3.10 % (2613131)------------------------------
% 14.45/3.10 % (2613131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.45/3.10 % (2613131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/3.10 % (2613131)CaDiCaL version: 2.1.3
% 14.45/3.10 % (2613131)Termination reason: Instruction limit
% 14.45/3.10 % (2613131)Termination phase: Property scanning
% 14.45/3.10 % (2613131)Time elapsed: 0.024 s
% 14.45/3.10 % (2613131)Peak memory usage: 86 MB
% 14.45/3.10 % (2613131)Instructions burned: 27 (million)
% 14.45/3.10 % (2613135)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=882691444:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2989 on theBenchmark for (2989ds/8Mi)
% 14.45/3.10 % (2613133)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2572067042:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 14.45/3.10 % (2613133)Instruction limit reached!
% 14.45/3.10 % (2613133)------------------------------
% 14.45/3.10 % (2613133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.45/3.10 % (2613133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/3.10 % (2613133)CaDiCaL version: 2.1.3
% 14.45/3.10 % (2613133)Termination reason: Instruction limit
% 14.45/3.10 % (2613133)Termination phase: shuffling
% 14.45/3.10 % (2613133)Time elapsed: 0.003 s
% 14.45/3.10 % (2613133)Peak memory usage: 85 MB
% 14.45/3.10 % (2613133)Instructions burned: 2 (million)
% 14.45/3.10 % (2613135)Instruction limit reached!
% 14.45/3.10 % (2613135)------------------------------
% 14.45/3.10 % (2613135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.45/3.10 % (2613135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/3.10 % (2613135)CaDiCaL version: 2.1.3
% 14.45/3.10 % (2613135)Termination reason: Instruction limit
% 14.45/3.10 % (2613135)Termination phase: Property scanning
% 14.45/3.10 % (2613135)Time elapsed: 0.005 s
% 14.45/3.10 % (2613135)Peak memory usage: 86 MB
% 14.45/3.10 % (2613135)Instructions burned: 8 (million)
% 14.45/3.10 % (2613138)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2237859003:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 14.45/3.10 % (2613141)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2208830232:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2988 on theBenchmark for (2988ds/13Mi)
% 14.45/3.10 % (2613141)Instruction limit reached!
% 14.45/3.10 % (2613141)------------------------------
% 14.45/3.10 % (2613141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.45/3.10 % (2613141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/3.10 % (2613141)CaDiCaL version: 2.1.3
% 14.45/3.10 % (2613141)Termination reason: Instruction limit
% 14.45/3.10 % (2613141)Termination phase: Property scanning
% 14.45/3.10 % (2613141)Time elapsed: 0.012 s
% 14.45/3.10 % (2613141)Peak memory usage: 85 MB
% 14.45/3.10 % (2613141)Instructions burned: 14 (million)
% 14.45/3.10 % (2613145)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1357586582:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 14.45/3.10 % (2613145)Instruction limit reached!
% 14.45/3.10 % (2613145)------------------------------
% 14.45/3.10 % (2613145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.45/3.10 % (2613145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/3.10 % (2613145)CaDiCaL version: 2.1.3
% 14.45/3.10 % (2613145)Termination reason: Instruction limit
% 14.45/3.10 % (2613145)Termination phase: Property scanning
% 14.45/3.10 % (2613145)Time elapsed: 0.008 s
% 14.45/3.10 % (2613145)Peak memory usage: 86 MB
% 14.45/3.10 % (2613145)Instructions burned: 17 (million)
% 14.45/3.10 % (2613149)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=835991758:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2987 on theBenchmark for (2987ds/75Mi)
% 16.84/3.54 % (2613143)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3147397505:i=226:rtra=on:gtg=position:ss=axioms_2988 on theBenchmark for (2988ds/226Mi)
% 16.84/3.54 % (2613146)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2983530582:i=71:rtra=on:gtg=exists_top_2987 on theBenchmark for (2987ds/71Mi)
% 16.84/3.54 % (2613149)Instruction limit reached!
% 16.84/3.54 % (2613149)------------------------------
% 16.84/3.54 % (2613149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.54 % (2613149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.54 % (2613149)CaDiCaL version: 2.1.3
% 16.84/3.54 % (2613149)Termination reason: Instruction limit
% 16.84/3.54 % (2613149)Termination phase: Property scanning
% 16.84/3.54 % (2613149)Time elapsed: 0.070 s
% 16.84/3.54 % (2613149)Peak memory usage: 89 MB
% 16.84/3.54 % (2613149)Instructions burned: 76 (million)
% 16.84/3.54 % (2613150)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2513464913:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 16.84/3.54 % (2613146)Instruction limit reached!
% 16.84/3.54 % (2613146)------------------------------
% 16.84/3.54 % (2613146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.54 % (2613146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.54 % (2613146)CaDiCaL version: 2.1.3
% 16.84/3.54 % (2613146)Termination reason: Instruction limit
% 16.84/3.54 % (2613146)Termination phase: Property scanning
% 16.84/3.54 % (2613146)Time elapsed: 0.061 s
% 16.84/3.54 % (2613146)Peak memory usage: 89 MB
% 16.84/3.54 % (2613146)Instructions burned: 71 (million)
% 16.84/3.54 % (2613154)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=4247747904:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2986 on theBenchmark for (2986ds/130Mi)
% 16.84/3.54 % (2613155)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2424407095:i=131:rtra=on_2986 on theBenchmark for (2986ds/131Mi)
% 16.84/3.54 % (2613138)Instruction limit reached!
% 16.84/3.54 % (2613138)------------------------------
% 16.84/3.54 % (2613138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.54 % (2613138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.54 % (2613138)CaDiCaL version: 2.1.3
% 16.84/3.54 % (2613138)Termination reason: Instruction limit
% 16.84/3.54 % (2613138)Termination phase: Saturation
% 16.84/3.54 % (2613138)Time elapsed: 0.353 s
% 16.84/3.54 % (2613138)Peak memory usage: 94 MB
% 16.84/3.54 % (2613138)Instructions burned: 371 (million)
% 16.84/3.54 % (2613154)Instruction limit reached!
% 16.84/3.54 % (2613154)------------------------------
% 16.84/3.54 % (2613154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.54 % (2613154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.54 % (2613154)CaDiCaL version: 2.1.3
% 16.84/3.54 % (2613154)Termination reason: Instruction limit
% 16.84/3.54 % (2613154)Termination phase: Function definition elimination
% 16.84/3.54 % (2613154)Time elapsed: 0.074 s
% 16.84/3.54 % (2613154)Peak memory usage: 89 MB
% 16.84/3.54 % (2613154)Instructions burned: 131 (million)
% 16.84/3.54 % (2613143)Instruction limit reached!
% 16.84/3.54 % (2613143)------------------------------
% 16.84/3.54 % (2613143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.54 % (2613143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.54 % (2613143)CaDiCaL version: 2.1.3
% 16.84/3.54 % (2613143)Termination reason: Instruction limit
% 16.84/3.54 % (2613143)Termination phase: Saturation
% 16.84/3.54 % (2613143)Time elapsed: 0.243 s
% 16.84/3.54 % (2613143)Peak memory usage: 118 MB
% 16.84/3.54 % (2613143)Instructions burned: 226 (million)
% 16.84/3.54 % (2613155)Instruction limit reached!
% 16.84/3.54 % (2613155)------------------------------
% 16.84/3.54 % (2613155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.84/3.54 % (2613155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.84/3.54 % (2613155)CaDiCaL version: 2.1.3
% 16.84/3.54 % (2613155)Termination reason: Instruction limit
% 18.37/3.93 % (2613155)Termination phase: Saturation
% 18.37/3.93 % (2613155)Time elapsed: 0.096 s
% 18.37/3.93 % (2613155)Peak memory usage: 131 MB
% 18.37/3.93 % (2613155)Instructions burned: 132 (million)
% 18.37/3.93 % (2613159)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=683437543:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2985 on theBenchmark for (2985ds/40Mi)
% 18.37/3.93 % (2613162)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=2751523055:i=307:rtra=on:gtg=exists_top_2984 on theBenchmark for (2984ds/307Mi)
% 18.37/3.93 % (2613159)Instruction limit reached!
% 18.37/3.93 % (2613159)------------------------------
% 18.37/3.93 % (2613159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.93 % (2613159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.93 % (2613159)CaDiCaL version: 2.1.3
% 18.37/3.93 % (2613159)Termination reason: Instruction limit
% 18.37/3.93 % (2613159)Termination phase: Property scanning
% 18.37/3.93 % (2613159)Time elapsed: 0.036 s
% 18.37/3.93 % (2613159)Peak memory usage: 86 MB
% 18.37/3.93 % (2613159)Instructions burned: 40 (million)
% 18.37/3.93 % (2613150)Instruction limit reached!
% 18.37/3.93 % (2613150)------------------------------
% 18.37/3.93 % (2613150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.93 % (2613150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.93 % (2613150)CaDiCaL version: 2.1.3
% 18.37/3.93 % (2613150)Termination reason: Instruction limit
% 18.37/3.93 % (2613150)Termination phase: Saturation
% 18.37/3.93 % (2613150)Time elapsed: 0.295 s
% 18.37/3.93 % (2613150)Peak memory usage: 93 MB
% 18.37/3.93 % (2613150)Instructions burned: 294 (million)
% 18.37/3.93 % (2613165)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3167466506:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/598Mi)
% 18.37/3.93 % (2613166)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1474848154:i=131:canc=cautious:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/131Mi)
% 18.37/3.93 % (2613169)dis+10_1_si=on:random_seed=1784227342:s2a=on:i=1000:rtra=on:gtg=exists_all_2983 on theBenchmark for (2983ds/1000Mi)
% 18.37/3.93 % (2613167)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=999412169:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2983 on theBenchmark for (2983ds/259Mi)
% 18.37/3.93 % (2613173)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=693662421:i=141:doe=on:rtra=on_2982 on theBenchmark for (2982ds/141Mi)
% 18.37/3.93 % (2613166)Instruction limit reached!
% 18.37/3.93 % (2613166)------------------------------
% 18.37/3.93 % (2613166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.93 % (2613166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.93 % (2613166)CaDiCaL version: 2.1.3
% 18.37/3.93 % (2613166)Termination reason: Instruction limit
% 18.37/3.93 % (2613166)Termination phase: Saturation
% 18.37/3.93 % (2613166)Time elapsed: 0.115 s
% 18.37/3.93 % (2613166)Peak memory usage: 89 MB
% 18.37/3.93 % (2613166)Instructions burned: 132 (million)
% 18.37/3.93 % (2613172)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=4243533035:i=383:fsr=off:rtra=on:ev=force_2982 on theBenchmark for (2982ds/383Mi)
% 18.37/3.93 % (2613162)Instruction limit reached!
% 18.37/3.93 % (2613162)------------------------------
% 18.37/3.93 % (2613162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.93 % (2613162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.93 % (2613162)CaDiCaL version: 2.1.3
% 18.37/3.93 % (2613162)Termination reason: Instruction limit
% 18.37/3.93 % (2613162)Termination phase: Saturation
% 18.37/3.93 % (2613162)Time elapsed: 0.299 s
% 18.37/3.93 % (2613162)Peak memory usage: 94 MB
% 18.37/3.93 % (2613162)Instructions burned: 307 (million)
% 18.37/3.93 % (2613173)Instruction limit reached!
% 18.37/3.93 % (2613173)------------------------------
% 18.37/3.93 % (2613173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.37/3.93 % (2613173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.37/3.93 % (2613173)CaDiCaL version: 2.1.3
% 18.37/3.93 % (2613173)Termination reason: Instruction limit
% 18.37/3.93 % (2613173)Termination phase: Saturation
% 18.37/3.93 % (2613173)Time elapsed: 0.118 s
% 23.35/4.47 % (2613173)Peak memory usage: 90 MB
% 23.35/4.47 % (2613173)Instructions burned: 141 (million)
% 23.35/4.47 % (2613167)Instruction limit reached!
% 23.35/4.47 % (2613167)------------------------------
% 23.35/4.47 % (2613167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.35/4.47 % (2613167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.35/4.47 % (2613167)CaDiCaL version: 2.1.3
% 23.35/4.47 % (2613167)Termination reason: Instruction limit
% 23.35/4.47 % (2613167)Termination phase: Saturation
% 23.35/4.47 % (2613167)Time elapsed: 0.302 s
% 23.35/4.47 % (2613167)Peak memory usage: 118 MB
% 23.35/4.47 % (2613167)Instructions burned: 259 (million)
% 23.35/4.47 % (2613179)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=1836547254:i=65:nm=16:rtra=on_2980 on theBenchmark for (2980ds/65Mi)
% 23.35/4.47 % (2613181)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=3399446673:i=121:nm=16:rtra=on_2979 on theBenchmark for (2979ds/121Mi)
% 23.35/4.47 % (2613179)Instruction limit reached!
% 23.35/4.47 % (2613179)------------------------------
% 23.35/4.47 % (2613179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.35/4.47 % (2613179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.35/4.47 % (2613179)CaDiCaL version: 2.1.3
% 23.35/4.47 % (2613179)Termination reason: Instruction limit
% 23.35/4.47 % (2613179)Termination phase: Property scanning
% 23.35/4.47 % (2613179)Time elapsed: 0.063 s
% 23.35/4.47 % (2613179)Peak memory usage: 89 MB
% 23.35/4.47 % (2613179)Instructions burned: 65 (million)
% 23.35/4.47 % (2613169)Instruction limit reached!
% 23.35/4.47 % (2613169)------------------------------
% 23.35/4.47 % (2613169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.35/4.47 % (2613169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.35/4.47 % (2613169)CaDiCaL version: 2.1.3
% 23.35/4.47 % (2613169)Termination reason: Instruction limit
% 23.35/4.47 % (2613169)Termination phase: Saturation
% 23.35/4.47 % (2613169)Time elapsed: 0.528 s
% 23.35/4.47 % (2613169)Peak memory usage: 97 MB
% 23.35/4.47 % (2613169)Instructions burned: 1002 (million)
% 23.35/4.47 % (2613182)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=3345739341:s2a=on:i=128:s2at=5:ins=3:rtra=on_2978 on theBenchmark for (2978ds/128Mi)
% 23.35/4.47 % (2613181)Instruction limit reached!
% 23.35/4.47 % (2613181)------------------------------
% 23.35/4.47 % (2613181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.35/4.47 % (2613181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.35/4.47 % (2613181)CaDiCaL version: 2.1.3
% 23.35/4.47 % (2613181)Termination reason: Instruction limit
% 23.35/4.47 % (2613181)Termination phase: Property scanning
% 23.35/4.47 % (2613181)Time elapsed: 0.105 s
% 23.35/4.47 % (2613181)Peak memory usage: 89 MB
% 23.35/4.47 % (2613181)Instructions burned: 122 (million)
% 23.35/4.47 % (2613165)Instruction limit reached!
% 23.35/4.47 % (2613165)------------------------------
% 23.35/4.47 % (2613165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.35/4.47 % (2613165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.35/4.47 % (2613165)CaDiCaL version: 2.1.3
% 23.35/4.47 % (2613165)Termination reason: Instruction limit
% 23.35/4.47 % (2613165)Termination phase: Saturation
% 23.35/4.47 % (2613165)Time elapsed: 0.631 s
% 23.35/4.47 % (2613165)Peak memory usage: 139 MB
% 23.35/4.47 % (2613165)Instructions burned: 599 (million)
% 23.35/4.47 % (2613172)Instruction limit reached!
% 23.35/4.47 % (2613172)------------------------------
% 23.35/4.47 % (2613172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.35/4.47 % (2613172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.35/4.47 % (2613172)CaDiCaL version: 2.1.3
% 23.35/4.47 % (2613172)Termination reason: Instruction limit
% 23.35/4.47 % (2613172)Termination phase: Saturation
% 23.35/4.47 % (2613172)Time elapsed: 0.394 s
% 23.35/4.47 % (2613172)Peak memory usage: 97 MB
% 23.35/4.47 % (2613172)Instructions burned: 383 (million)
% 23.35/4.47 % (2613183)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=1268343346:i=39:ins=3:rtra=on_2977 on theBenchmark for (2977ds/39Mi)
% 23.35/4.47 % (2613182)Instruction limit reached!
% 23.35/4.47 % (2613182)------------------------------
% 23.35/4.47 % (2613182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.16/5.03 % (2613182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/5.03 % (2613182)CaDiCaL version: 2.1.3
% 26.16/5.03 % (2613182)Termination reason: Instruction limit
% 26.16/5.03 % (2613182)Termination phase: Property scanning
% 26.16/5.03 % (2613182)Time elapsed: 0.118 s
% 26.16/5.03 % (2613182)Peak memory usage: 89 MB
% 26.16/5.03 % (2613182)Instructions burned: 129 (million)
% 26.16/5.03 % (2613183)Instruction limit reached!
% 26.16/5.03 % (2613183)------------------------------
% 26.16/5.03 % (2613183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.16/5.03 % (2613183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/5.03 % (2613183)CaDiCaL version: 2.1.3
% 26.16/5.03 % (2613183)Termination reason: Instruction limit
% 26.16/5.03 % (2613183)Termination phase: Preprocessing 1
% 26.16/5.03 % (2613183)Time elapsed: 0.034 s
% 26.16/5.03 % (2613183)Peak memory usage: 86 MB
% 26.16/5.03 % (2613183)Instructions burned: 39 (million)
% 26.16/5.03 % (2613186)dis+1010_1_to=kbo:si=on:random_seed=3055883299:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2976 on theBenchmark for (2976ds/175Mi)
% 26.16/5.03 % (2613188)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3794995639:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/329Mi)
% 26.16/5.03 % (2613190)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=3370892547:thitd=on:i=215:nm=0:rtra=on:ev=force_2975 on theBenchmark for (2975ds/215Mi)
% 26.16/5.03 % (2613189)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=1169054710:s2a=on:i=483:doe=on:nm=32:rtra=on_2975 on theBenchmark for (2975ds/483Mi)
% 26.16/5.03 % (2613194)dis+1011_1_to=kbo:sil=128000:drc=off:si=on:br=off:random_seed=472689399:st=2:i=295:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/295Mi)
% 26.16/5.03 % (2613191)lrs+1011_1_to=kbo:sil=128000:sas=z3:si=on:norm_ineq=on:sp=unary_frequency:tha=off:random_seed=757576047:i=349:rtra=on_2975 on theBenchmark for (2975ds/349Mi)
% 26.16/5.03 % (2613186)Instruction limit reached!
% 26.16/5.03 % (2613186)------------------------------
% 26.16/5.03 % (2613186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.16/5.03 % (2613186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/5.03 % (2613186)CaDiCaL version: 2.1.3
% 26.16/5.03 % (2613186)Termination reason: Instruction limit
% 26.16/5.03 % (2613186)Termination phase: Property scanning
% 26.16/5.03 % (2613186)Time elapsed: 0.142 s
% 26.16/5.03 % (2613186)Peak memory usage: 88 MB
% 26.16/5.03 % (2613186)Instructions burned: 176 (million)
% 26.16/5.03 % (2613188)Instruction limit reached!
% 26.16/5.03 % (2613188)------------------------------
% 26.16/5.03 % (2613188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.16/5.03 % (2613188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/5.03 % (2613188)CaDiCaL version: 2.1.3
% 26.16/5.03 % (2613188)Termination reason: Instruction limit
% 26.16/5.03 % (2613188)Termination phase: Saturation
% 26.16/5.03 % (2613188)Time elapsed: 0.193 s
% 26.16/5.03 % (2613188)Peak memory usage: 117 MB
% 26.16/5.03 % (2613188)Instructions burned: 330 (million)
% 26.16/5.03 % (2613195)dis+1010_1_to=kbo:sil=128000:tgt=ground:drc=ordering:sas=z3:si=on:spb=goal:nwc=5:br=off:random_seed=818830496:i=328:kws=inv_frequency:nm=20:rtra=on_2974 on theBenchmark for (2974ds/328Mi)
% 26.16/5.03 % (2613190)Instruction limit reached!
% 26.16/5.03 % (2613190)------------------------------
% 26.16/5.03 % (2613190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.16/5.03 % (2613190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/5.03 % (2613190)CaDiCaL version: 2.1.3
% 26.16/5.03 % (2613190)Termination reason: Instruction limit
% 26.16/5.03 % (2613190)Termination phase: Saturation
% 26.16/5.03 % (2613190)Time elapsed: 0.239 s
% 26.16/5.03 % (2613190)Peak memory usage: 133 MB
% 26.16/5.03 % (2613190)Instructions burned: 215 (million)
% 26.16/5.03 % (2613194)Instruction limit reached!
% 26.16/5.03 % (2613194)------------------------------
% 26.16/5.03 % (2613194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.16/5.03 % (2613194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.16/5.03 % (2613194)CaDiCaL version: 2.1.3
% 26.16/5.03 % (2613194)Termination reason: Instruction limit
% 26.16/5.03 % (2613194)Termination phase: Saturation
% 29.92/5.39 % (2613194)Time elapsed: 0.211 s
% 29.92/5.39 % (2613194)Peak memory usage: 92 MB
% 29.92/5.39 % (2613194)Instructions burned: 296 (million)
% 29.92/5.39 % (2613202)dis+1010_1_to=lpo:sil=128000:sas=z3:si=on:nwc=5:random_seed=2928875397:i=281:gtgl=2:rtra=on:gtg=all_2972 on theBenchmark for (2972ds/281Mi)
% 29.92/5.39 % (2613204)lrs+1010_1_to=kbo:sil=128000:si=on:sos=on:urr=on:uwa=alasca_main:random_seed=2429050312:i=484:doe=on:nm=0:av=off:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/484Mi)
% 29.92/5.39 % (2613191)Instruction limit reached!
% 29.92/5.39 % (2613191)------------------------------
% 29.92/5.39 % (2613191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.92/5.39 % (2613191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.92/5.39 % (2613191)CaDiCaL version: 2.1.3
% 29.92/5.39 % (2613191)Termination reason: Instruction limit
% 29.92/5.39 % (2613191)Termination phase: Saturation
% 29.92/5.39 % (2613191)Time elapsed: 0.370 s
% 29.92/5.39 % (2613191)Peak memory usage: 120 MB
% 29.92/5.39 % (2613191)Instructions burned: 349 (million)
% 29.92/5.39 % (2613207)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1843632415:i=416:rtra=on:gtg=position:ss=axioms_2970 on theBenchmark for (2970ds/416Mi)
% 29.90/5.44 % (2613189)Instruction limit reached!
% 29.90/5.44 % (2613189)------------------------------
% 29.90/5.44 % (2613189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.44 % (2613189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.44 % (2613189)CaDiCaL version: 2.1.3
% 29.90/5.44 % (2613189)Termination reason: Instruction limit
% 29.90/5.44 % (2613189)Termination phase: Saturation
% 29.90/5.44 % (2613189)Time elapsed: 0.530 s
% 29.90/5.44 % (2613189)Peak memory usage: 138 MB
% 29.90/5.44 % (2613189)Instructions burned: 483 (million)
% 29.90/5.44 % (2613206)lrs+21_1_to=kbo:sil=128000:thi=neg_eq:si=on:random_seed=514275753:i=321:canc=force:rtra=on:tac=axiom:ss=axioms:ev=force_2970 on theBenchmark for (2970ds/321Mi)
% 29.90/5.44 % (2613195)Instruction limit reached!
% 29.90/5.44 % (2613195)------------------------------
% 29.90/5.44 % (2613195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.44 % (2613195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.44 % (2613195)CaDiCaL version: 2.1.3
% 29.90/5.44 % (2613195)Termination reason: Instruction limit
% 29.90/5.44 % (2613195)Termination phase: Saturation
% 29.90/5.44 % (2613195)Time elapsed: 0.370 s
% 29.90/5.44 % (2613195)Peak memory usage: 120 MB
% 29.90/5.44 % (2613195)Instructions burned: 328 (million)
% 29.90/5.44 % (2613204)Instruction limit reached!
% 29.90/5.44 % (2613204)------------------------------
% 29.90/5.44 % (2613204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.44 % (2613204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.44 % (2613204)CaDiCaL version: 2.1.3
% 29.90/5.44 % (2613204)Termination reason: Instruction limit
% 29.90/5.44 % (2613204)Termination phase: Saturation
% 29.90/5.44 % (2613204)Time elapsed: 0.234 s
% 29.90/5.44 % (2613204)Peak memory usage: 94 MB
% 29.90/5.44 % (2613204)Instructions burned: 485 (million)
% 29.90/5.44 % (2613202)Instruction limit reached!
% 29.90/5.44 % (2613202)------------------------------
% 29.90/5.44 % (2613202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.90/5.44 % (2613202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.90/5.44 % (2613202)CaDiCaL version: 2.1.3
% 29.90/5.44 % (2613202)Termination reason: Instruction limit
% 29.90/5.44 % (2613202)Termination phase: Saturation
% 29.90/5.44 % (2613202)Time elapsed: 0.298 s
% 29.90/5.44 % (2613202)Peak memory usage: 119 MB
% 29.90/5.44 % (2613202)Instructions burned: 281 (million)
% 29.90/5.44 % (2613210)lrs+1010_1_to=kbo:tgt=ground:fde=unused:sas=z3:si=on:sp=unary_frequency:gve=force:spb=goal:tha=off:random_seed=1699474793:i=471:thf=on:kws=precedence:rtra=on_2968 on theBenchmark for (2968ds/471Mi)
% 29.90/5.44 % (2613214)lrs+1010_2_to=kbo:sil=128000:tgt=ground:fde=unused:sas=z3:si=on:uwa=off:tha=off:nwc=1:random_seed=3941872963:i=375:kws=inv_arity_squared:rtra=on_2967 on theBenchmark for (2967ds/375Mi)
% 29.90/5.44 % (2613213)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=2530170613:avsq=on:i=276:avsqr=1,2:rtra=on_2967 on theBenchmark for (2967ds/276Mi)
% 29.90/5.44 % (2613215)lrs+10_1_to=kbo:sil=128000:tgt=full:sas=z3:si=on:uwa=func_ext:slsqc=1:flr=on:slsq=on:random_seed=1878343781:i=387:bd=preordered:rtra=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/387Mi)
% 31.27/5.81 % (2613206)Instruction limit reached!
% 31.27/5.81 % (2613206)------------------------------
% 31.27/5.81 % (2613206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613206)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613206)Termination reason: Instruction limit
% 31.27/5.81 % (2613206)Termination phase: Saturation
% 31.27/5.81 % (2613206)Time elapsed: 0.367 s
% 31.27/5.81 % (2613206)Peak memory usage: 118 MB
% 31.27/5.81 % (2613206)Instructions burned: 321 (million)
% 31.27/5.81 % (2613207)Instruction limit reached!
% 31.27/5.81 % (2613207)------------------------------
% 31.27/5.81 % (2613207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613207)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613207)Termination reason: Instruction limit
% 31.27/5.81 % (2613207)Termination phase: Saturation
% 31.27/5.81 % (2613207)Time elapsed: 0.413 s
% 31.27/5.81 % (2613207)Peak memory usage: 119 MB
% 31.27/5.81 % (2613207)Instructions burned: 416 (million)
% 31.27/5.81 % (2613216)lrs+10_1_to=kbo:sil=128000:fde=none:si=on:norm_ineq=on:urr=on:nwc=0.5:random_seed=2462111935:i=513:kws=frequency:bd=all:rtra=on:gtg=exists_all:ss=axioms:sgt=4_2966 on theBenchmark for (2966ds/513Mi)
% 31.27/5.81 % (2613215)Instruction limit reached!
% 31.27/5.81 % (2613215)------------------------------
% 31.27/5.81 % (2613215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613215)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613215)Termination reason: Instruction limit
% 31.27/5.81 % (2613215)Termination phase: Saturation
% 31.27/5.81 % (2613215)Time elapsed: 0.241 s
% 31.27/5.81 % (2613215)Peak memory usage: 119 MB
% 31.27/5.81 % (2613215)Instructions burned: 388 (million)
% 31.27/5.81 % (2613213)Instruction limit reached!
% 31.27/5.81 % (2613213)------------------------------
% 31.27/5.81 % (2613213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613213)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613213)Termination reason: Instruction limit
% 31.27/5.81 % (2613213)Termination phase: Saturation
% 31.27/5.81 % (2613213)Time elapsed: 0.325 s
% 31.27/5.81 % (2613213)Peak memory usage: 136 MB
% 31.27/5.81 % (2613213)Instructions burned: 276 (million)
% 31.27/5.81 % (2613221)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2012755126:i=334:rtra=on_2963 on theBenchmark for (2963ds/334Mi)
% 31.27/5.81 % (2613210)Instruction limit reached!
% 31.27/5.81 % (2613210)------------------------------
% 31.27/5.81 % (2613210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613210)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613210)Termination reason: Instruction limit
% 31.27/5.81 % (2613210)Termination phase: Saturation
% 31.27/5.81 % (2613210)Time elapsed: 0.467 s
% 31.27/5.81 % (2613210)Peak memory usage: 121 MB
% 31.27/5.81 % (2613210)Instructions burned: 471 (million)
% 31.27/5.81 % (2613214)Instruction limit reached!
% 31.27/5.81 % (2613214)------------------------------
% 31.27/5.81 % (2613214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613214)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613214)Termination reason: Instruction limit
% 31.27/5.81 % (2613214)Termination phase: Saturation
% 31.27/5.81 % (2613214)Time elapsed: 0.396 s
% 31.27/5.81 % (2613214)Peak memory usage: 120 MB
% 31.27/5.81 % (2613214)Instructions burned: 375 (million)
% 31.27/5.81 % (2613223)lrs+1010_1_to=kbo:sil=64000:sas=cadical:si=on:sos=on:bce=on:random_seed=753668621:i=359:rtra=on:gtg=exists_top:ss=axioms_2963 on theBenchmark for (2963ds/359Mi)
% 31.27/5.81 % (2613224)dis+1010_1_to=lpo:sil=128000:thi=all:fde=unused:si=on:sp=reverse_arity:tha=off:random_seed=351664811:i=341:gtgl=2:rtra=on:gtg=exists_sym:ev=force:fsd=on:fsdmm=1_2962 on theBenchmark for (2962ds/341Mi)
% 31.27/5.81 % (2613221)Instruction limit reached!
% 31.27/5.81 % (2613221)------------------------------
% 31.27/5.81 % (2613221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613221)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613221)Termination reason: Instruction limit
% 31.27/5.81 % (2613221)Termination phase: Saturation
% 31.27/5.81 % (2613221)Time elapsed: 0.212 s
% 31.27/5.81 % (2613221)Peak memory usage: 137 MB
% 31.27/5.81 % (2613221)Instructions burned: 335 (million)
% 31.27/5.81 % (2613225)lrs-2_1_to=kbo:sil=64000:tgt=ground:sas=z3:si=on:sp=const_max:tha=off:random_seed=3072875955:st=1.5:i=261:sd=1:kws=precedence:rtra=on:ss=axioms_2962 on theBenchmark for (2962ds/261Mi)
% 31.27/5.81 % (2613216)Instruction limit reached!
% 31.27/5.81 % (2613216)------------------------------
% 31.27/5.81 % (2613216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613216)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613216)Termination reason: Instruction limit
% 31.27/5.81 % (2613216)Termination phase: Saturation
% 31.27/5.81 % (2613216)Time elapsed: 0.468 s
% 31.27/5.81 % (2613216)Peak memory usage: 93 MB
% 31.27/5.81 % (2613216)Instructions burned: 514 (million)
% 31.27/5.81 % (2613227)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=1002944864:s2pl=no:i=235:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2961 on theBenchmark for (2961ds/235Mi)
% 31.27/5.81 % (2613228)dis+1011_2_to=kbo:sil=128000:tgt=full:irw=on:si=on:sp=unary_frequency:gve=cautious:nwc=5.53:random_seed=3497069390:i=273:kws=precedence:canc=cautious:nm=10:rtra=on:tar=off:rawr=on_2961 on theBenchmark for (2961ds/273Mi)
% 31.27/5.81 % (2613224)Instruction limit reached!
% 31.27/5.81 % (2613224)------------------------------
% 31.27/5.81 % (2613224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613224)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613224)Termination reason: Instruction limit
% 31.27/5.81 % (2613224)Termination phase: Saturation
% 31.27/5.81 % (2613224)Time elapsed: 0.320 s
% 31.27/5.81 % (2613224)Peak memory usage: 122 MB
% 31.27/5.81 % (2613224)Instructions burned: 341 (million)
% 31.27/5.81 % (2613223)Instruction limit reached!
% 31.27/5.81 % (2613223)------------------------------
% 31.27/5.81 % (2613223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613223)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613223)Termination reason: Instruction limit
% 31.27/5.81 % (2613223)Termination phase: Saturation
% 31.27/5.81 % (2613223)Time elapsed: 0.362 s
% 31.27/5.81 % (2613223)Peak memory usage: 93 MB
% 31.27/5.81 % (2613223)Instructions burned: 359 (million)
% 31.27/5.81 % (2613231)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=806553377:i=146:doe=on:rtra=on_2959 on theBenchmark for (2959ds/146Mi)
% 31.27/5.81 % (2613231)Instruction limit reached!
% 31.27/5.81 % (2613231)------------------------------
% 31.27/5.81 % (2613231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613231)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613231)Termination reason: Instruction limit
% 31.27/5.81 % (2613231)Termination phase: Saturation
% 31.27/5.81 % (2613231)Time elapsed: 0.068 s
% 31.27/5.81 % (2613231)Peak memory usage: 91 MB
% 31.27/5.81 % (2613231)Instructions burned: 148 (million)
% 31.27/5.81 % (2613225)First to succeed.
% 31.27/5.81 % (2613225)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2613081"
% 31.27/5.81 % (2613233)dis+11_1_slsqr=1,2:to=lpo:plsq=on:si=on:norm_ineq=on:slsq=on:random_seed=3700670105:i=4428:doe=on:fsr=off:rtra=on_2959 on theBenchmark for (2959ds/4428Mi)
% 31.27/5.81 % (2613227)Instruction limit reached!
% 31.27/5.81 % (2613227)------------------------------
% 31.27/5.81 % (2613227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613227)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613227)Termination reason: Instruction limit
% 31.27/5.81 % (2613227)Termination phase: Saturation
% 31.27/5.81 % (2613227)Time elapsed: 0.277 s
% 31.27/5.81 % (2613227)Peak memory usage: 118 MB
% 31.27/5.81 % (2613227)Instructions burned: 236 (million)
% 31.27/5.81 % (2613228)Instruction limit reached!
% 31.27/5.81 % (2613228)------------------------------
% 31.27/5.81 % (2613228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613228)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613228)Termination reason: Instruction limit
% 31.27/5.81 % (2613228)Termination phase: Saturation
% 31.27/5.81 % (2613228)Time elapsed: 0.279 s
% 31.27/5.81 % (2613228)Peak memory usage: 93 MB
% 31.27/5.81 % (2613228)Instructions burned: 273 (million)
% 31.27/5.81 % (2613238)dis+1011_1_to=kbo:sil=128000:tgt=full:si=on:spb=intro:lsd=50:tha=some:fd=preordered:sac=on:random_seed=2234421522:i=1052:rtra=on_2957 on theBenchmark for (2957ds/1052Mi)
% 31.27/5.81 % (2613237)lrs+1011_607:55_to=lpo:sil=64000:pum=on:thi=overlap:sas=z3:si=on:sp=const_min:spb=goal_then_units:tha=some:newcnf=on:random_seed=2132852018:avsq=on:i=276:avsqr=1,2:rtra=on_2957 on theBenchmark for (2957ds/276Mi)
% 31.27/5.81 % (2613239)lrs+1011_12_to=kbo:tgt=ground:si=on:gve=force:acc=on:tha=off:random_seed=1690526548:i=655:kws=inv_arity_squared:rtra=on:gtg=exists_sym_2956 on theBenchmark for (2956ds/655Mi)
% 31.27/5.81 % (2613241)dis+1011_14_to=kbo:tgt=ground:drc=ordering:fde=none:si=on:uwa=func_ext:tha=off:random_seed=2148554447:st=5:i=1054:nm=32:av=off:rtra=on:ss=axioms:ev=cautious_2955 on theBenchmark for (2955ds/1054Mi)
% 31.27/5.81 % (2613242)lrs-1002_1_to=kbo:sas=z3:si=on:norm_ineq=on:sos=on:tha=some:random_seed=56901442:i=107:rtra=on_2955 on theBenchmark for (2955ds/107Mi)
% 31.27/5.81 % (2613242)Instruction limit reached!
% 31.27/5.81 % (2613242)------------------------------
% 31.27/5.81 % (2613242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.27/5.81 % (2613242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.27/5.81 % (2613242)CaDiCaL version: 2.1.3
% 31.27/5.81 % (2613242)Termination reason: Instruction limit
% 31.27/5.81 % (2613242)Termination phase: Property scanning
% 31.27/5.81 % (2613242)Time elapsed: 0.095 s
% 31.27/5.81 % (2613242)Peak memory usage: 89 MB
% 31.27/5.81 % (2613242)Instructions burned: 107 (million)
% 31.27/5.81 % (2613225)Refutation found. Thanks to Tanya!
% 31.27/5.81 % SZS status Theorem for theBenchmark
% 31.27/5.81 % SZS output start Proof for theBenchmark
% See solution above
% 34.16/6.13 % (2613225)------------------------------
% 34.16/6.13 % (2613225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.16/6.13 % (2613225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.16/6.13 % (2613225)CaDiCaL version: 2.1.3
% 34.16/6.13 % (2613225)Termination reason: Refutation
% 34.16/6.13 % (2613225)Time elapsed: 0.257 s
% 34.16/6.13 % (2613225)Peak memory usage: 118 MB
% 34.16/6.13 % (2613225)Instructions burned: 215 (million)
% 34.16/6.13 % (2613225)------------------------------
% 34.16/6.13 % (2613225)------------------------------
% 34.16/6.13 % (2613081)Success in time 4.811 s
% 34.16/6.13 % Vampire exiting
%------------------------------------------------------------------------------