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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC528_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:04:11 PM UTC 2026

% Result   : Theorem 6.49s 1.90s
% Output   : Refutation 9.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (   8 unt;   0 typ;   5 def)
%            Number of atoms       :   97 (   2 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  101 (  45   ~;  21   |;  22   &)
%                                         (  11 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number arithmetic     :  189 (  38 atm;  90 fun;  43 num;  18 var)
%            Number of types       :    7 (   5 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   25 (  20 usr;   6 prp; 0-5 aty)
%            Number of functors    :  161 ( 155 usr; 154 con; 0-2 aty)
%            Number of variables   :   18 (  17   !;   1   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    set_0: $tType ).

tff(type_def_6,type,
    set_2: $tType ).

tff(type_def_7,type,
    set_3: $tType ).

tff(type_def_8,type,
    set_4: $tType ).

tff(type_def_9,type,
    set_5: $tType ).

tff(func_def_0,type,
    min_int: $int ).

tff(func_def_1,type,
    max_int: $int ).

tff(func_def_5,type,
    g_s0_0: set_0 ).

tff(func_def_6,type,
    g_s1_1: $int ).

tff(func_def_7,type,
    g_s2_2: $int ).

tff(func_def_8,type,
    g_s4_3: set_0 ).

tff(func_def_9,type,
    g_s3_4: $int ).

tff(func_def_10,type,
    g_s6_5: set_0 ).

tff(func_def_11,type,
    g_s5_6: $int ).

tff(func_def_12,type,
    g_s8_7: set_0 ).

tff(func_def_13,type,
    g_s7_8: $int ).

tff(func_def_14,type,
    g_s9_9: $int ).

tff(func_def_15,type,
    g_s10_10: $int ).

tff(func_def_16,type,
    g_s11_11: set_0 ).

tff(func_def_17,type,
    set_2_empty: set_2 ).

tff(func_def_18,type,
    set_2_insert: set_2 > set_2 ).

tff(func_def_19,type,
    g_s12_12: set_2 ).

tff(func_def_20,type,
    g_s13_13: $int ).

tff(func_def_21,type,
    g_s14_14: $int ).

tff(func_def_22,type,
    g_s15_15: $int ).

tff(func_def_23,type,
    g_s16_16: $int ).

tff(func_def_24,type,
    g_s17_17: $int ).

tff(func_def_25,type,
    g_s18_18: $int ).

tff(func_def_26,type,
    g_s19_19: $int ).

tff(func_def_27,type,
    g_s20_20: $int ).

tff(func_def_28,type,
    g_s21_21: $int ).

tff(func_def_29,type,
    g_s22_22: $int ).

tff(func_def_30,type,
    g_s23_23: $int ).

tff(func_def_31,type,
    g_s24_24: $int ).

tff(func_def_32,type,
    g_s25_25: $int ).

tff(func_def_33,type,
    g_s26_26: $int ).

tff(func_def_34,type,
    g_s27_27: $int ).

tff(func_def_35,type,
    g_s28_28: $int ).

tff(func_def_36,type,
    g_s29_29: $int ).

tff(func_def_37,type,
    g_s30_30: $int ).

tff(func_def_38,type,
    g_s31_31: $int ).

tff(func_def_39,type,
    g_s32_32: $int ).

tff(func_def_40,type,
    g_s33_33: $int ).

tff(func_def_41,type,
    g_s34_34: $int ).

tff(func_def_42,type,
    g_s35_35: $int ).

tff(func_def_43,type,
    g_s36_36: $int ).

tff(func_def_44,type,
    g_s37_37: $int ).

tff(func_def_45,type,
    set_3_empty: set_3 ).

tff(func_def_46,type,
    set_3_insert: set_3 > set_3 ).

tff(func_def_47,type,
    g_s39_38: set_3 ).

tff(func_def_48,type,
    g_s40_39: $int ).

tff(func_def_49,type,
    g_s41_40: $int ).

tff(func_def_50,type,
    g_s42_41: $int ).

tff(func_def_51,type,
    g_s43_42: $int ).

tff(func_def_52,type,
    g_s44_43: $int ).

tff(func_def_53,type,
    g_s45_44: $int ).

tff(func_def_54,type,
    g_s46_45: $int ).

tff(func_def_55,type,
    g_s47_46: $int ).

tff(func_def_56,type,
    g_s48_47: $int ).

tff(func_def_57,type,
    g_s49_48: $int ).

tff(func_def_58,type,
    g_s50_49: $int ).

tff(func_def_59,type,
    g_s51_50: $int ).

tff(func_def_60,type,
    g_s52_51: $int ).

tff(func_def_61,type,
    g_s53_52: $int ).

tff(func_def_62,type,
    g_s54_53: $int ).

tff(func_def_63,type,
    g_s55_54: $int ).

tff(func_def_64,type,
    g_s56_55: $int ).

tff(func_def_65,type,
    g_s57_56: $int ).

tff(func_def_66,type,
    g_s58_57: $int ).

tff(func_def_67,type,
    g_s59_58: $int ).

tff(func_def_68,type,
    g_s60_59: $int ).

tff(func_def_69,type,
    g_s61_60: $int ).

tff(func_def_70,type,
    g_s62_61: $int ).

tff(func_def_71,type,
    g_s63_62: $int ).

tff(func_def_72,type,
    g_s64_63: $int ).

tff(func_def_73,type,
    g_s65_64: $int ).

tff(func_def_74,type,
    g_s66_65: $int ).

tff(func_def_75,type,
    g_s67_66: $int ).

tff(func_def_76,type,
    g_s68_67: $int ).

tff(func_def_77,type,
    g_s69_68: $int ).

tff(func_def_78,type,
    g_s70_69: $int ).

tff(func_def_79,type,
    g_s71_70: $int ).

tff(func_def_80,type,
    g_s72_71: $int ).

tff(func_def_81,type,
    g_s73_72: $int ).

tff(func_def_82,type,
    g_s74_73: $int ).

tff(func_def_83,type,
    g_s75_74: $int ).

tff(func_def_84,type,
    g_s76_75: $int ).

tff(func_def_85,type,
    g_s77_76: $int ).

tff(func_def_86,type,
    g_s78_77: $int ).

tff(func_def_87,type,
    g_s79_78: $int ).

tff(func_def_88,type,
    g_s80_79: $int ).

tff(func_def_89,type,
    g_s81_80: $int ).

tff(func_def_90,type,
    g_s82_81: $int ).

tff(func_def_91,type,
    set_4_empty: set_4 ).

tff(func_def_92,type,
    set_4_insert: set_4 > set_4 ).

tff(func_def_93,type,
    g_s83_82: set_4 ).

tff(func_def_94,type,
    g_s84_83: set_3 ).

tff(func_def_95,type,
    g_s85_84: set_4 ).

tff(func_def_96,type,
    g_s86_85: set_3 ).

tff(func_def_97,type,
    g_s87_86: set_3 ).

tff(func_def_98,type,
    g_s88_87: set_4 ).

tff(func_def_99,type,
    g_s89_88: set_3 ).

tff(func_def_100,type,
    g_s90_89: set_3 ).

tff(func_def_101,type,
    g_s91_90: set_3 ).

tff(func_def_102,type,
    g_s92_91: set_3 ).

tff(func_def_103,type,
    g_s93_92: set_3 ).

tff(func_def_104,type,
    g_s94_93: set_3 ).

tff(func_def_105,type,
    g_s95_94: set_3 ).

tff(func_def_106,type,
    g_s96_95: set_3 ).

tff(func_def_107,type,
    g_s97_96: set_3 ).

tff(func_def_108,type,
    g_s98_97: set_3 ).

tff(func_def_109,type,
    g_s99_98: set_3 ).

tff(func_def_110,type,
    g_s100_99: set_3 ).

tff(func_def_111,type,
    set_5_empty: set_5 ).

tff(func_def_112,type,
    set_5_insert: set_5 > set_5 ).

tff(func_def_113,type,
    g_s105_100: set_5 ).

tff(func_def_114,type,
    g_s106_101: set_4 ).

tff(func_def_115,type,
    g_s107_102: $int ).

tff(func_def_116,type,
    g_s108_103: $int ).

tff(func_def_117,type,
    g_s109_104: $int ).

tff(func_def_118,type,
    g_s110_105: $int ).

tff(func_def_119,type,
    g_s111_106: $int ).

tff(func_def_120,type,
    g_s112_107: $int ).

tff(func_def_121,type,
    g_s113_108: $int ).

tff(func_def_122,type,
    g_s114_109: $int ).

tff(func_def_123,type,
    g_s115_110: $int ).

tff(func_def_124,type,
    g_s116_111: $int ).

tff(func_def_125,type,
    g_s117_112: $int ).

tff(func_def_126,type,
    g_s118_113: $int ).

tff(func_def_127,type,
    g_s119_114: set_4 ).

tff(func_def_128,type,
    g_s120_115: $int ).

tff(func_def_129,type,
    g_s121_116: $int ).

tff(func_def_130,type,
    g_s122_117: $int ).

tff(func_def_131,type,
    g_s123_118: $int ).

tff(func_def_132,type,
    g_s124_119: $int ).

tff(func_def_133,type,
    g_s125_120: $int ).

tff(func_def_134,type,
    g_s126_121: $int ).

tff(func_def_135,type,
    g_s127_122: set_4 ).

tff(func_def_136,type,
    g_s128_123: $int ).

tff(func_def_137,type,
    g_s129_124: $int ).

tff(func_def_138,type,
    g_s130_125: $int ).

tff(func_def_139,type,
    g_s131_126: $int ).

tff(func_def_140,type,
    g_s132_127: $int ).

tff(func_def_141,type,
    g_s133_128: $int ).

tff(func_def_142,type,
    g_s134_129: $int ).

tff(func_def_143,type,
    g_s135_130: $int ).

tff(func_def_144,type,
    g_s136_131: $int ).

tff(func_def_145,type,
    g_s137_132: $int ).

tff(func_def_146,type,
    g_s138_133: $int ).

tff(func_def_147,type,
    g_s139_134: $int ).

tff(func_def_148,type,
    g_s140_135: $int ).

tff(func_def_149,type,
    g_s141_136: $int ).

tff(func_def_150,type,
    g_s145_137: $int ).

tff(func_def_151,type,
    g_s146_138: set_0 ).

tff(func_def_152,type,
    g_s145_1_139: $int ).

tff(func_def_153,type,
    g_s146_1_140: set_0 ).

tff(func_def_154,type,
    g_s150_1_147: $int ).

tff(func_def_155,type,
    g_s151_1_148: $int ).

tff(func_def_156,type,
    g_s152_1_149: $int ).

tff(func_def_169,type,
    bG0: $o > $o ).

tff(func_def_170,type,
    bG1: $o > $o ).

tff(func_def_171,type,
    bG2: $o > $o ).

tff(func_def_172,type,
    bG3: $o > $o ).

tff(func_def_173,type,
    bG4: $o > $o ).

tff(func_def_174,type,
    bG5: $o > $o ).

tff(func_def_175,type,
    bG6: $o > $o ).

tff(func_def_176,type,
    bG7: $o > $o ).

tff(func_def_177,type,
    bG8: $o > $o ).

tff(func_def_178,type,
    bG9: $o > $o ).

tff(func_def_179,type,
    sK10: $int ).

tff(pred_def_1,type,
    mem0: ( $int * set_0 ) > $o ).

tff(pred_def_2,type,
    mem2: ( $o * $int * set_2 ) > $o ).

tff(pred_def_3,type,
    mem3: ( $int * $int * $int * set_3 ) > $o ).

tff(pred_def_4,type,
    mem4: ( $int * $int * set_4 ) > $o ).

tff(pred_def_5,type,
    mem5: ( $int * set_4 * $int * $int * set_5 ) > $o ).

tff(f4,axiom,
    ! [X0: $int] :
      ( mem0(X0,g_s146_138)
     => ( $greatereq(X0,0)
        & $lesseq(X0,g_s145_137) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:abs:1') ).

tff(f152,axiom,
    g_s145_137 = g_s145_1_139,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:inv:0') ).

tff(f153,axiom,
    ! [X0: $int] :
      ( mem0(X0,g_s146_1_140)
    <=> mem0(X0,g_s146_138) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:inv:1') ).

tff(f157,axiom,
    ! [X0: $int] :
      ( $false
    <=> ( $lesseq(X0,g_s145_1_139)
        & $greatereq(X0,$sum($sum($difference(g_s145_1_139,g_s29_29),g_s151_1_148),1))
        & mem0(X0,g_s146_1_140) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:inv:13') ).

tff(f220,conjecture,
    ! [X0: $int] :
      ( $false
    <=> ( mem0(X0,g_s146_1_140)
        & $greatereq(X0,$sum($sum($difference($sum(g_s145_1_139,1),g_s29_29),$difference(g_s151_1_148,1)),1))
        & $lesseq(X0,$sum(g_s145_1_139,1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Goal') ).

tff(f221,negated_conjecture,
    ~ ! [X0: $int] :
        ( $false
      <=> ( mem0(X0,g_s146_1_140)
          & $greatereq(X0,$sum($sum($difference($sum(g_s145_1_139,1),g_s29_29),$difference(g_s151_1_148,1)),1))
          & $lesseq(X0,$sum(g_s145_1_139,1)) ) ),
    inference(negated_conjecture,[status(cth)],[f220]) ).

tff(f227,plain,
    ! [X0: $int] :
      ( mem0(X0,g_s146_138)
     => ( ~ $less(g_s145_137,X0)
        & ~ $less(X0,0) ) ),
    inference(theory_normalization,[],[f4]) ).

tff(f228,plain,
    ~ ! [X0: $int] :
        ( $false
      <=> ( mem0(X0,g_s146_1_140)
          & ~ $less(X0,$sum($sum($sum($sum(g_s145_1_139,1),$uminus(g_s29_29)),$sum(g_s151_1_148,$uminus(1))),1))
          & ~ $less($sum(g_s145_1_139,1),X0) ) ),
    inference(theory_normalization,[],[f221]) ).

tff(f259,plain,
    ! [X0: $int] :
      ( $false
    <=> ( ~ $less(g_s145_1_139,X0)
        & ~ $less(X0,$sum($sum($sum(g_s145_1_139,$uminus(g_s29_29)),g_s151_1_148),1))
        & mem0(X0,g_s146_1_140) ) ),
    inference(theory_normalization,[],[f157]) ).

tff(f299,plain,
    ~ ! [X0: $int] :
        ~ ( mem0(X0,g_s146_1_140)
          & ~ $less(X0,$sum($sum($sum($sum(g_s145_1_139,1),$uminus(g_s29_29)),$sum(g_s151_1_148,$uminus(1))),1))
          & ~ $less($sum(g_s145_1_139,1),X0) ),
    inference(true_and_false_elimination,[],[f228]) ).

tff(f301,plain,
    ! [X0: $int] :
      ~ ( ~ $less(g_s145_1_139,X0)
        & ~ $less(X0,$sum($sum($sum(g_s145_1_139,$uminus(g_s29_29)),g_s151_1_148),1))
        & mem0(X0,g_s146_1_140) ),
    inference(true_and_false_elimination,[],[f259]) ).

tff(f303,plain,
    ! [X0: $int] :
      ( ~ mem0(X0,g_s146_1_140)
      | $less(g_s145_1_139,X0)
      | $less(X0,$sum($sum($sum(g_s145_1_139,$uminus(g_s29_29)),g_s151_1_148),1)) ),
    inference(ennf_transformation,[],[f301]) ).

tff(f305,plain,
    ? [X0: $int] :
      ( mem0(X0,g_s146_1_140)
      & ~ $less(X0,$sum($sum($sum($sum(g_s145_1_139,1),$uminus(g_s29_29)),$sum(g_s151_1_148,$uminus(1))),1))
      & ~ $less($sum(g_s145_1_139,1),X0) ),
    inference(ennf_transformation,[],[f299]) ).

tff(f307,plain,
    ! [X0: $int] :
      ( ( ~ $less(g_s145_137,X0)
        & ~ $less(X0,0) )
      | ~ mem0(X0,g_s146_138) ),
    inference(ennf_transformation,[],[f227]) ).

tff(f309,plain,
    ( mem0(sK10,g_s146_1_140)
    & ~ $less(sK10,$sum($sum($sum($sum(g_s145_1_139,1),$uminus(g_s29_29)),$sum(g_s151_1_148,$uminus(1))),1))
    & ~ $less($sum(g_s145_1_139,1),sK10) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f305]) ).

tff(f310,plain,
    ! [X0: $int] :
      ( ( mem0(X0,g_s146_1_140)
        | ~ mem0(X0,g_s146_138) )
      & ( mem0(X0,g_s146_138)
        | ~ mem0(X0,g_s146_1_140) ) ),
    inference(nnf_transformation,[],[f153]) ).

tff(f316,plain,
    ! [X0: $int] :
      ( ~ $less(g_s145_137,X0)
      | ~ mem0(X0,g_s146_138) ),
    inference(cnf_transformation,[],[f307]) ).

tff(f319,plain,
    g_s145_137 = g_s145_1_139,
    inference(cnf_transformation,[],[f152]) ).

tff(f323,plain,
    ~ $less(sK10,$sum($sum($sum($sum(g_s145_1_139,1),$uminus(g_s29_29)),$sum(g_s151_1_148,$uminus(1))),1)),
    inference(cnf_transformation,[],[f309]) ).

tff(f324,plain,
    mem0(sK10,g_s146_1_140),
    inference(cnf_transformation,[],[f309]) ).

tff(f326,plain,
    ! [X0: $int] :
      ( mem0(X0,g_s146_138)
      | ~ mem0(X0,g_s146_1_140) ),
    inference(cnf_transformation,[],[f310]) ).

tff(f330,plain,
    ! [X0: $int] :
      ( $less(X0,$sum($sum($sum(g_s145_1_139,$uminus(g_s29_29)),g_s151_1_148),1))
      | $less(g_s145_1_139,X0)
      | ~ mem0(X0,g_s146_1_140) ),
    inference(cnf_transformation,[],[f303]) ).

tff(f334,plain,
    ! [X0: $int] :
      ( ~ $less(g_s145_1_139,X0)
      | ~ mem0(X0,g_s146_138) ),
    inference(definition_unfolding,[],[f316,f319]) ).

tff(f339,plain,
    ~ $less(sK10,$sum($sum($sum($sum(g_s145_1_139,1),$uminus(g_s29_29)),$sum(g_s151_1_148,-1)),1)),
    inference(evaluation,[],[f323]) ).

tff(f346,definition,
    ( spl11_2
  <=> mem0(sK10,g_s146_1_140) ),
    introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).

tff(f348,plain,
    ( mem0(sK10,g_s146_1_140)
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f346]) ).

tff(f349,plain,
    spl11_2,
    inference(avatar_split_clause,[],[f324,f346]) ).

tff(f351,definition,
    ( spl11_3
  <=> $less(sK10,$sum($sum($sum($sum(g_s145_1_139,1),$uminus(g_s29_29)),$sum(g_s151_1_148,-1)),1)) ),
    introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).

tff(f354,plain,
    ~ spl11_3,
    inference(avatar_split_clause,[],[f339,f351]) ).

tff(f360,plain,
    ( mem0(sK10,g_s146_138)
    | ~ spl11_2 ),
    inference(unit_resulting_resolution,[],[f326,f348]) ).

tff(f362,definition,
    ( spl11_5
  <=> mem0(sK10,g_s146_138) ),
    introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).

tff(f364,plain,
    ( mem0(sK10,g_s146_138)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f362]) ).

tff(f365,plain,
    ( spl11_5
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f360,f346,f362]) ).

tff(f370,plain,
    ( ~ $less(g_s145_1_139,sK10)
    | ~ spl11_5 ),
    inference(unit_resulting_resolution,[],[f334,f364]) ).

tff(f377,definition,
    ( spl11_7
  <=> $less(g_s145_1_139,sK10) ),
    introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).

tff(f379,plain,
    ( ~ $less(g_s145_1_139,sK10)
    | spl11_7 ),
    inference(avatar_component_clause,[],[f377]) ).

tff(f380,plain,
    ( ~ spl11_7
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f370,f362,f377]) ).

tff(f381,plain,
    ( $less(sK10,$sum($sum($sum(g_s145_1_139,$uminus(g_s29_29)),g_s151_1_148),1))
    | ~ spl11_2
    | spl11_7 ),
    inference(unit_resulting_resolution,[],[f330,f348,f379]) ).

tff(f383,definition,
    ( spl11_8
  <=> $less(sK10,$sum($sum($sum(g_s145_1_139,$uminus(g_s29_29)),g_s151_1_148),1)) ),
    introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).

tff(f386,plain,
    ( spl11_8
    | ~ spl11_2
    | spl11_7 ),
    inference(avatar_split_clause,[],[f381,f377,f346,f383]) ).

tff(f387,plain,
    $false,
    inference(avatar_smt_refutation,[],[f386,f380,f365,f354,f349]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC528_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n009.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 09:41:45 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  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
% 3.72/1.24  % (2919846)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.72/1.24  % (2919958)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=443439175:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.72/1.24  % (2919958)Instruction limit reached! 
% 3.72/1.24  % (2919958)------------------------------
% 3.72/1.24  % (2919958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.24  % (2919958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.24  % (2919958)CaDiCaL version: 2.1.3
% 3.72/1.24  % (2919958)Termination reason: Instruction limit
% 3.72/1.24  % (2919958)Termination phase: Preprocessing 2
% 3.72/1.24  % (2919958)Time elapsed: 0.002 s
% 3.72/1.24  % (2919958)Peak memory usage: 86 MB
% 3.72/1.24  % (2919958)Instructions burned: 6 (million)
% 3.72/1.24  % (2919950)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=868183176:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.72/1.24  % (2919959)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1763582367:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.72/1.24  % (2919960)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1086378267:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.72/1.24  % (2919957)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1791579042:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.72/1.24  % (2919956)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1133051836:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.72/1.24  % (2919957)Instruction limit reached! 
% 3.72/1.24  % (2919957)------------------------------
% 3.72/1.24  % (2919957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.24  % (2919957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.24  % (2919957)CaDiCaL version: 2.1.3
% 3.72/1.24  % (2919957)Termination reason: Instruction limit
% 3.72/1.24  % (2919957)Termination phase: Naming
% 3.72/1.24  % (2919957)Time elapsed: 0.004 s
% 3.72/1.24  % (2919957)Peak memory usage: 86 MB
% 3.72/1.24  % (2919957)Instructions burned: 7 (million)
% 3.72/1.24  % (2919950)Instruction limit reached! 
% 3.72/1.24  % (2919950)------------------------------
% 3.72/1.24  % (2919950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.24  % (2919950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.24  % (2919950)CaDiCaL version: 2.1.3
% 3.72/1.24  % (2919950)Termination reason: Instruction limit
% 3.72/1.24  % (2919950)Termination phase: Preprocessing 3
% 3.72/1.24  % (2919950)Time elapsed: 0.007 s
% 3.72/1.24  % (2919950)Peak memory usage: 86 MB
% 3.72/1.24  % (2919950)Instructions burned: 12 (million)
% 3.72/1.24  % (2919954)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=272063699:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.72/1.24  % (2919960)Instruction limit reached! 
% 3.72/1.24  % (2919960)------------------------------
% 3.72/1.24  % (2919960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.24  % (2919960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.24  % (2919960)CaDiCaL version: 2.1.3
% 3.72/1.24  % (2919960)Termination reason: Instruction limit
% 3.72/1.24  % (2919960)Termination phase: Saturation
% 3.72/1.24  % (2919960)Time elapsed: 0.041 s
% 3.72/1.24  % (2919960)Peak memory usage: 113 MB
% 3.72/1.24  % (2919960)Instructions burned: 33 (million)
% 3.72/1.24  % (2919959)Instruction limit reached! 
% 3.72/1.24  % (2919959)------------------------------
% 3.72/1.24  % (2919959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.24  % (2919959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.24  % (2919959)CaDiCaL version: 2.1.3
% 3.72/1.24  % (2919959)Termination reason: Instruction limit
% 3.72/1.24  % (2919959)Termination phase: Saturation
% 3.72/1.24  % (2919959)Time elapsed: 0.050 s
% 3.72/1.24  % (2919959)Peak memory usage: 115 MB
% 3.72/1.24  % (2919959)Instructions burned: 46 (million)
% 3.72/1.24  % (2919980)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2134235207:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.72/1.24  % (2919980)Instruction limit reached! 
% 3.72/1.24  % (2919980)------------------------------
% 4.65/1.42  % (2919980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.42  % (2919980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.42  % (2919980)CaDiCaL version: 2.1.3
% 4.65/1.42  % (2919980)Termination reason: Instruction limit
% 4.65/1.42  % (2919980)Termination phase: Blocked clause elimination
% 4.65/1.42  % (2919980)Time elapsed: 0.004 s
% 4.65/1.42  % (2919980)Peak memory usage: 87 MB
% 4.65/1.42  % (2919980)Instructions burned: 15 (million)
% 4.65/1.42  % (2919956)Instruction limit reached! 
% 4.65/1.42  % (2919956)------------------------------
% 4.65/1.42  % (2919956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.42  % (2919956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.42  % (2919956)CaDiCaL version: 2.1.3
% 4.65/1.42  % (2919956)Termination reason: Instruction limit
% 4.65/1.42  % (2919956)Termination phase: Saturation
% 4.65/1.42  % (2919956)Time elapsed: 0.138 s
% 4.65/1.42  % (2919956)Peak memory usage: 118 MB
% 4.65/1.42  % (2919956)Instructions burned: 202 (million)
% 4.65/1.42  % (2919996)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3444799787:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.65/1.42  % (2919995)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=48834712:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.65/1.42  % (2919996)Instruction limit reached! 
% 4.65/1.42  % (2919996)------------------------------
% 4.65/1.42  % (2919996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.42  % (2919996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.42  % (2919996)CaDiCaL version: 2.1.3
% 4.65/1.42  % (2919996)Termination reason: Instruction limit
% 4.65/1.42  % (2919996)Termination phase: Equality proxy
% 4.65/1.42  % (2919996)Time elapsed: 0.010 s
% 4.65/1.42  % (2919996)Peak memory usage: 87 MB
% 4.65/1.42  % (2919996)Instructions burned: 17 (million)
% 4.65/1.42  % (2919995)Instruction limit reached! 
% 4.65/1.42  % (2919995)------------------------------
% 4.65/1.42  % (2919995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.42  % (2919995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.42  % (2919995)CaDiCaL version: 2.1.3
% 4.65/1.42  % (2919995)Termination reason: Instruction limit
% 4.65/1.42  % (2919995)Termination phase: Saturation
% 4.65/1.42  % (2919995)Time elapsed: 0.017 s
% 4.65/1.42  % (2919995)Peak memory usage: 89 MB
% 4.65/1.42  % (2919995)Instructions burned: 29 (million)
% 4.65/1.42  % (2919998)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1282141571:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.65/1.42  % (2920001)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=14726691:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.65/1.42  % (2919999)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=2732434977:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.65/1.42  % (2919998)Instruction limit reached! 
% 4.65/1.42  % (2919998)------------------------------
% 4.65/1.42  % (2919998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.42  % (2919998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.42  % (2919998)CaDiCaL version: 2.1.3
% 4.65/1.42  % (2919998)Termination reason: Instruction limit
% 4.65/1.42  % (2919998)Termination phase: Saturation
% 4.65/1.42  % (2919998)Time elapsed: 0.014 s
% 4.65/1.42  % (2919998)Peak memory usage: 90 MB
% 4.65/1.42  % (2919998)Instructions burned: 24 (million)
% 4.65/1.42  % (2919999)Instruction limit reached! 
% 4.65/1.42  % (2919999)------------------------------
% 4.65/1.42  % (2919999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.65/1.42  % (2919999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.65/1.42  % (2919999)CaDiCaL version: 2.1.3
% 4.65/1.42  % (2919999)Termination reason: Instruction limit
% 4.65/1.42  % (2919999)Termination phase: Saturation
% 4.65/1.42  % (2919999)Time elapsed: 0.016 s
% 4.65/1.42  % (2919999)Peak memory usage: 89 MB
% 4.65/1.42  % (2919999)Instructions burned: 27 (million)
% 4.65/1.42  % (2920001)Instruction limit reached! 
% 4.65/1.42  % (2920001)------------------------------
% 4.65/1.42  % (2920001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.67  % (2920001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.67  % (2920001)CaDiCaL version: 2.1.3
% 5.92/1.67  % (2920001)Termination reason: Instruction limit
% 5.92/1.67  % (2920001)Termination phase: Saturation
% 5.92/1.67  % (2920001)Time elapsed: 0.028 s
% 5.92/1.67  % (2920001)Peak memory usage: 90 MB
% 5.92/1.67  % (2920001)Instructions burned: 86 (million)
% 5.92/1.67  % (2920004)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2873616258:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.92/1.67  % (2920004)Instruction limit reached! 
% 5.92/1.67  % (2920004)------------------------------
% 5.92/1.67  % (2920004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.67  % (2920004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.67  % (2920004)CaDiCaL version: 2.1.3
% 5.92/1.67  % (2920004)Termination reason: Instruction limit
% 5.92/1.67  % (2920004)Termination phase: Including theory axioms
% 5.92/1.67  % (2920004)Time elapsed: 0.002 s
% 5.92/1.67  % (2920004)Peak memory usage: 86 MB
% 5.92/1.67  % (2920004)Instructions burned: 2 (million)
% 5.92/1.67  % (2920006)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2974176931:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.92/1.67  % (2920005)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=160336740:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.92/1.67  % (2920006)Instruction limit reached! 
% 5.92/1.67  % (2920006)------------------------------
% 5.92/1.67  % (2920006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.67  % (2920006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.67  % (2920006)CaDiCaL version: 2.1.3
% 5.92/1.67  % (2920006)Termination reason: Instruction limit
% 5.92/1.67  % (2920006)Termination phase: Preprocessing 1
% 5.92/1.67  % (2920006)Time elapsed: 0.003 s
% 5.92/1.67  % (2920006)Peak memory usage: 86 MB
% 5.92/1.67  % (2920006)Instructions burned: 5 (million)
% 5.92/1.67  % (2920012)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=214209943:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.92/1.67  % (2920012)Instruction limit reached! 
% 5.92/1.67  % (2920012)------------------------------
% 5.92/1.67  % (2920012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.67  % (2920012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.67  % (2920012)CaDiCaL version: 2.1.3
% 5.92/1.67  % (2920012)Termination reason: Instruction limit
% 5.92/1.67  % (2920012)Termination phase: Preprocessing 3
% 5.92/1.67  % (2920012)Time elapsed: 0.003 s
% 5.92/1.67  % (2920012)Peak memory usage: 86 MB
% 5.92/1.67  % (2920012)Instructions burned: 10 (million)
% 5.92/1.67  % (2919954)Instruction limit reached! 
% 5.92/1.67  % (2919954)------------------------------
% 5.92/1.67  % (2919954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.67  % (2919954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.67  % (2919954)CaDiCaL version: 2.1.3
% 5.92/1.67  % (2919954)Termination reason: Instruction limit
% 5.92/1.67  % (2919954)Termination phase: Saturation
% 5.92/1.67  % (2919954)Time elapsed: 0.313 s
% 5.92/1.67  % (2919954)Peak memory usage: 120 MB
% 5.92/1.67  % (2919954)Instructions burned: 308 (million)
% 5.92/1.67  % (2920010)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3322022589:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.92/1.67  % (2920011)lrs+10_1_thi=all:si=on:fd=off:random_seed=1673225334:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.92/1.67  % (2920011)Instruction limit reached! 
% 5.92/1.67  % (2920011)------------------------------
% 5.92/1.67  % (2920011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.67  % (2920011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.67  % (2920011)CaDiCaL version: 2.1.3
% 5.92/1.67  % (2920011)Termination reason: Instruction limit
% 5.92/1.67  % (2920011)Termination phase: Saturation
% 5.92/1.67  % (2920011)Time elapsed: 0.055 s
% 5.92/1.67  % (2920011)Peak memory usage: 117 MB
% 5.92/1.67  % (2920011)Instructions burned: 53 (million)
% 6.49/1.90  % (2920010)Instruction limit reached! 
% 6.49/1.90  % (2920010)------------------------------
% 6.49/1.90  % (2920010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920010)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920010)Termination reason: Instruction limit
% 6.49/1.90  % (2920010)Termination phase: Saturation
% 6.49/1.90  % (2920010)Time elapsed: 0.080 s
% 6.49/1.90  % (2920010)Peak memory usage: 136 MB
% 6.49/1.90  % (2920010)Instructions burned: 67 (million)
% 6.49/1.90  % (2920005)Instruction limit reached! 
% 6.49/1.90  % (2920005)------------------------------
% 6.49/1.90  % (2920005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920005)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920005)Termination reason: Instruction limit
% 6.49/1.90  % (2920005)Termination phase: Saturation
% 6.49/1.90  % (2920005)Time elapsed: 0.124 s
% 6.49/1.90  % (2920005)Peak memory usage: 91 MB
% 6.49/1.90  % (2920005)Instructions burned: 181 (million)
% 6.49/1.90  % (2920014)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=227928034:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 6.49/1.90  % (2920014)Instruction limit reached! 
% 6.49/1.90  % (2920014)------------------------------
% 6.49/1.90  % (2920014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920014)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920014)Termination reason: Instruction limit
% 6.49/1.90  % (2920014)Termination phase: Including theory axioms
% 6.49/1.90  % (2920014)Time elapsed: 0.002 s
% 6.49/1.90  % (2920014)Peak memory usage: 86 MB
% 6.49/1.90  % (2920014)Instructions burned: 2 (million)
% 6.49/1.90  % (2920020)dis+10_1_si=on:random_seed=3014833037:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.49/1.90  % (2920017)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1689624752:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.49/1.90  % (2920020)Instruction limit reached! 
% 6.49/1.90  % (2920020)------------------------------
% 6.49/1.90  % (2920020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920020)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920020)Termination reason: Instruction limit
% 6.49/1.90  % (2920020)Termination phase: Clausification
% 6.49/1.90  % (2920020)Time elapsed: 0.004 s
% 6.49/1.90  % (2920020)Peak memory usage: 87 MB
% 6.49/1.90  % (2920020)Instructions burned: 10 (million)
% 6.49/1.90  % (2920017)Instruction limit reached! 
% 6.49/1.90  % (2920017)------------------------------
% 6.49/1.90  % (2920017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920017)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920017)Termination reason: Instruction limit
% 6.49/1.90  % (2920017)Termination phase: Property scanning
% 6.49/1.90  % (2920017)Time elapsed: 0.002 s
% 6.49/1.90  % (2920017)Peak memory usage: 86 MB
% 6.49/1.90  % (2920017)Instructions burned: 3 (million)
% 6.49/1.90  % (2920019)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=2824099519:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 6.49/1.90  % (2920023)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2680490167:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.49/1.90  % (2920019)Instruction limit reached! 
% 6.49/1.90  % (2920019)------------------------------
% 6.49/1.90  % (2920019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920019)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920019)Termination reason: Instruction limit
% 6.49/1.90  % (2920019)Termination phase: Saturation
% 6.49/1.90  % (2920019)Time elapsed: 0.105 s
% 6.49/1.90  % (2920019)Peak memory usage: 120 MB
% 6.49/1.90  % (2920019)Instructions burned: 127 (million)
% 6.49/1.90  % (2920023)Instruction limit reached! 
% 6.49/1.90  % (2920023)------------------------------
% 6.49/1.90  % (2920023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920023)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920023)Termination reason: Instruction limit
% 6.49/1.90  % (2920023)Termination phase: Saturation
% 6.49/1.90  % (2920023)Time elapsed: 0.027 s
% 6.49/1.90  % (2920023)Peak memory usage: 89 MB
% 6.49/1.90  % (2920023)Instructions burned: 26 (million)
% 6.49/1.90  % (2920030)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=2143530181:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 6.49/1.90  % (2920026)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=2247267917:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 6.49/1.90  % (2920025)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=285790394: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_2993 on theBenchmark for (2993ds/35Mi)
% 6.49/1.90  % (2920026)Instruction limit reached! 
% 6.49/1.90  % (2920026)------------------------------
% 6.49/1.90  % (2920026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920026)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920026)Termination reason: Instruction limit
% 6.49/1.90  % (2920026)Termination phase: Unused predicate definition removal
% 6.49/1.90  % (2920026)Time elapsed: 0.005 s
% 6.49/1.90  % (2920026)Peak memory usage: 86 MB
% 6.49/1.90  % (2920026)Instructions burned: 5 (million)
% 6.49/1.90  % (2920025)Instruction limit reached! 
% 6.49/1.90  % (2920025)------------------------------
% 6.49/1.90  % (2920025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920025)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920025)Termination reason: Instruction limit
% 6.49/1.90  % (2920025)Termination phase: Saturation
% 6.49/1.90  % (2920025)Time elapsed: 0.033 s
% 6.49/1.90  % (2920025)Peak memory usage: 90 MB
% 6.49/1.90  % (2920025)Instructions burned: 35 (million)
% 6.49/1.90  % (2920029)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=3975788887:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 6.49/1.90  % (2920029)Instruction limit reached! 
% 6.49/1.90  % (2920029)------------------------------
% 6.49/1.90  % (2920029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920029)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920029)Termination reason: Instruction limit
% 6.49/1.90  % (2920029)Termination phase: Preprocessing 3
% 6.49/1.90  % (2920029)Time elapsed: 0.008 s
% 6.49/1.90  % (2920029)Peak memory usage: 86 MB
% 6.49/1.90  % (2920029)Instructions burned: 8 (million)
% 6.49/1.90  % (2920031)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=7479839:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 6.49/1.90  % (2920031)Instruction limit reached! 
% 6.49/1.90  % (2920031)------------------------------
% 6.49/1.90  % (2920031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920031)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920031)Termination reason: Instruction limit
% 6.49/1.90  % (2920031)Termination phase: Clausification
% 6.49/1.90  % (2920031)Time elapsed: 0.012 s
% 6.49/1.90  % (2920031)Peak memory usage: 87 MB
% 6.49/1.90  % (2920031)Instructions burned: 14 (million)
% 6.49/1.90  % (2920030)Instruction limit reached! 
% 6.49/1.90  % (2920030)------------------------------
% 6.49/1.90  % (2920030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920030)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920030)Termination reason: Instruction limit
% 6.49/1.90  % (2920030)Termination phase: Saturation
% 6.49/1.90  % (2920030)Time elapsed: 0.187 s
% 6.49/1.90  % (2920030)Peak memory usage: 93 MB
% 6.49/1.90  % (2920030)Instructions burned: 372 (million)
% 6.49/1.90  % (2920042)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3999906203:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 6.49/1.90  % (2920044)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2465643273:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 6.49/1.90  % (2920044)Instruction limit reached! 
% 6.49/1.90  % (2920044)------------------------------
% 6.49/1.90  % (2920044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920044)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920044)Termination reason: Instruction limit
% 6.49/1.90  % (2920044)Termination phase: Clausification
% 6.49/1.90  % (2920044)Time elapsed: 0.010 s
% 6.49/1.90  % (2920044)Peak memory usage: 86 MB
% 6.49/1.90  % (2920044)Instructions burned: 10 (million)
% 6.49/1.90  % (2920042)First to succeed.
% 6.49/1.90  % (2920042)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2919846"
% 6.49/1.90  % (2920047)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1733607391:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 6.49/1.90  % (2920049)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=4005015876:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2991 on theBenchmark for (2991ds/75Mi)
% 6.49/1.90  % (2920050)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=3226506975:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 6.49/1.90  % (2920049)Instruction limit reached! 
% 6.49/1.90  % (2920049)------------------------------
% 6.49/1.90  % (2920049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920049)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920049)Termination reason: Instruction limit
% 6.49/1.90  % (2920049)Termination phase: Saturation
% 6.49/1.90  % (2920049)Time elapsed: 0.079 s
% 6.49/1.90  % (2920049)Peak memory usage: 91 MB
% 6.49/1.90  % (2920049)Instructions burned: 75 (million)
% 6.49/1.90  % (2920057)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1770237259:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 6.49/1.90  % (2920047)Instruction limit reached! 
% 6.49/1.90  % (2920047)------------------------------
% 6.49/1.90  % (2920047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/1.90  % (2920047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/1.90  % (2920047)CaDiCaL version: 2.1.3
% 6.49/1.90  % (2920047)Termination reason: Instruction limit
% 6.49/1.90  % (2920047)Termination phase: Saturation
% 6.49/1.90  % (2920047)Time elapsed: 0.126 s
% 6.49/1.90  % (2920047)Peak memory usage: 136 MB
% 6.49/1.90  % (2920047)Instructions burned: 71 (million)
% 6.49/1.90  % (2920064)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=3616632797:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 6.49/1.90  % (2920042)Refutation found. Thanks to Tanya!
% 6.49/1.90  % SZS status Theorem for theBenchmark
% 6.49/1.90  % SZS output start Proof for theBenchmark
% See solution above
% 9.16/2.09  % (2920042)------------------------------
% 9.16/2.09  % (2920042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.16/2.09  % (2920042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.16/2.09  % (2920042)CaDiCaL version: 2.1.3
% 9.16/2.09  % (2920042)Termination reason: Refutation
% 9.16/2.09  % (2920042)Time elapsed: 0.041 s
% 9.16/2.09  % (2920042)Peak memory usage: 116 MB
% 9.16/2.09  % (2920042)Instructions burned: 22 (million)
% 9.16/2.09  % (2920042)------------------------------
% 9.16/2.09  % (2920042)------------------------------
% 9.16/2.09  % (2919846)Success in time 1.232 s
% 9.16/2.09  % Vampire exiting
%------------------------------------------------------------------------------