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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC540_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 01:04:12 PM UTC 2026

% Result   : Theorem 6.07s 1.37s
% Output   : Refutation 7.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   59 (  13 unt;   0 typ;   9 def)
%            Number of atoms       :  253 (   0 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  307 ( 113   ~;  94   |;  69   &)
%                                         (  22 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :  149 (  59 atm;   0 fun;   0 num;  90 var)
%            Number of types       :    6 (   4 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   24 (  20 usr;   9 prp; 0-4 aty)
%            Number of functors    :  136 ( 136 usr;  98 con; 0-2 aty)
%            Number of variables   :  109 (  87   !;  22   ?; 109   :)

% 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(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_s3_3: $int ).

tff(func_def_9,type,
    g_s4_4: set_0 ).

tff(func_def_10,type,
    g_s5_5: $int ).

tff(func_def_11,type,
    g_s6_6: $int ).

tff(func_def_12,type,
    g_s7_7: $int ).

tff(func_def_13,type,
    g_s8_8: set_0 ).

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: $int ).

tff(func_def_17,type,
    g_s12_12: set_0 ).

tff(func_def_18,type,
    g_s13_13: $int ).

tff(func_def_19,type,
    g_s14_14: $int ).

tff(func_def_20,type,
    g_s15_15: set_0 ).

tff(func_def_21,type,
    g_s16_16: $int ).

tff(func_def_22,type,
    g_s17_17: $int ).

tff(func_def_23,type,
    g_s18_18: set_0 ).

tff(func_def_24,type,
    g_s19_19: $int ).

tff(func_def_25,type,
    g_s20_20: $int ).

tff(func_def_26,type,
    g_s21_21: $int ).

tff(func_def_27,type,
    g_s22_22: set_0 ).

tff(func_def_28,type,
    g_s23_23: $int ).

tff(func_def_29,type,
    g_s24_24: $int ).

tff(func_def_30,type,
    g_s25_25: set_0 ).

tff(func_def_31,type,
    g_s26_26: $int ).

tff(func_def_32,type,
    g_s27_27: $int ).

tff(func_def_33,type,
    g_s28_28: $int ).

tff(func_def_34,type,
    g_s29_29: set_0 ).

tff(func_def_35,type,
    set_2_empty: set_2 ).

tff(func_def_36,type,
    set_2_insert: set_2 > set_2 ).

tff(func_def_37,type,
    g_s30_30: set_0 ).

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: set_0 ).

tff(func_def_42,type,
    g_s35_35: set_0 ).

tff(func_def_43,type,
    g_s36_36: set_0 ).

tff(func_def_44,type,
    g_s37_37: set_0 ).

tff(func_def_45,type,
    g_s38_38: set_0 ).

tff(func_def_46,type,
    g_s39_39: set_0 ).

tff(func_def_47,type,
    g_s40_40: set_0 ).

tff(func_def_48,type,
    g_s41_41: $int ).

tff(func_def_49,type,
    g_s42_42: set_2 ).

tff(func_def_50,type,
    g_s43_43: set_0 ).

tff(func_def_51,type,
    g_s44_44: set_2 ).

tff(func_def_52,type,
    g_s45_45: set_2 ).

tff(func_def_53,type,
    g_s46_46: set_0 ).

tff(func_def_54,type,
    g_s47_47: $int ).

tff(func_def_55,type,
    g_s48_48: set_2 ).

tff(func_def_56,type,
    g_s49_49: set_0 ).

tff(func_def_57,type,
    g_s50_50: set_2 ).

tff(func_def_58,type,
    g_s51_51: $int ).

tff(func_def_59,type,
    g_s52_52: set_0 ).

tff(func_def_60,type,
    g_s53_53: $int ).

tff(func_def_61,type,
    g_s54_54: set_2 ).

tff(func_def_62,type,
    g_s55_55: set_0 ).

tff(func_def_63,type,
    g_s56_56: $int ).

tff(func_def_64,type,
    g_s57_57: set_2 ).

tff(func_def_65,type,
    g_s58_58: set_0 ).

tff(func_def_66,type,
    g_s59_59: $int ).

tff(func_def_67,type,
    g_s60_60: set_2 ).

tff(func_def_68,type,
    set_3_empty: set_3 ).

tff(func_def_69,type,
    set_3_insert: set_3 > set_3 ).

tff(func_def_70,type,
    g_s61_72: set_3 ).

tff(func_def_71,type,
    g_s62_73: set_2 ).

tff(func_def_72,type,
    g_s63_74: set_2 ).

tff(func_def_73,type,
    set_4_empty: set_4 ).

tff(func_def_74,type,
    set_4_insert: set_4 > set_4 ).

tff(func_def_75,type,
    g_s64_75: set_4 ).

tff(func_def_76,type,
    g_s65_76: set_2 ).

tff(func_def_77,type,
    g_s75_61: set_3 ).

tff(func_def_78,type,
    g_s76_67: set_2 ).

tff(func_def_79,type,
    g_s78_64: set_2 ).

tff(func_def_80,type,
    g_s79_65: set_2 ).

tff(func_def_81,type,
    g_s80_66: set_2 ).

tff(func_def_82,type,
    g_s82_62: set_3 ).

tff(func_def_83,type,
    g_s83_63: set_0 ).

tff(func_def_84,type,
    g_s84_68: set_3 ).

tff(func_def_85,type,
    g_s68_1_77: $int ).

tff(func_def_86,type,
    g_s69_1_78: $int ).

tff(func_def_87,type,
    g_s70_1_79: $int ).

tff(func_def_88,type,
    g_s71_1_80: $int ).

tff(func_def_89,type,
    g_s90_81: $int ).

tff(func_def_92,type,
    sK8: ( $int * $int ) > $int ).

tff(func_def_93,type,
    sK9: ( $int * $int ) > $int ).

tff(func_def_94,type,
    sK10: ( $int * $int ) > $int ).

tff(func_def_95,type,
    sK11: ( $int * $int ) > $int ).

tff(func_def_96,type,
    sK12: ( $int * $int ) > $int ).

tff(func_def_97,type,
    sK13: ( $int * $int ) > $int ).

tff(func_def_98,type,
    sK14: $int ).

tff(func_def_99,type,
    sK15: set_2 ).

tff(func_def_100,type,
    sK16: $int > $int ).

tff(func_def_101,type,
    sK17: set_4 ).

tff(func_def_102,type,
    sK18: $int > set_0 ).

tff(func_def_103,type,
    sK19: $int ).

tff(func_def_104,type,
    sK20: $int ).

tff(func_def_105,type,
    sK21: ( $int * set_0 ) > $int ).

tff(func_def_106,type,
    sK22: ( $int * set_0 ) > $int ).

tff(func_def_107,type,
    sK23: ( $int * set_0 ) > $int ).

tff(func_def_108,type,
    sK24: ( $int * $int ) > $int ).

tff(func_def_109,type,
    sK25: ( $int * $int ) > $int ).

tff(func_def_110,type,
    sK26: ( $int * $int ) > $int ).

tff(func_def_111,type,
    sK27: ( $int * $int ) > $int ).

tff(func_def_112,type,
    sK28: $int > $int ).

tff(func_def_113,type,
    sK29: $int > $int ).

tff(func_def_114,type,
    sK30: $int > $int ).

tff(func_def_115,type,
    sK31: $int > $int ).

tff(func_def_116,type,
    sK32: $int ).

tff(func_def_117,type,
    sK33: ( $int * $int ) > $int ).

tff(func_def_118,type,
    sK34: ( $int * $int ) > $int ).

tff(func_def_119,type,
    sK35: $int ).

tff(func_def_120,type,
    sK36: $int ).

tff(func_def_121,type,
    sK37: set_2 ).

tff(func_def_122,type,
    sK38: $int > $int ).

tff(func_def_123,type,
    sK39: set_2 ).

tff(func_def_124,type,
    sK40: $int > $int ).

tff(func_def_125,type,
    sK41: ( set_0 * $int ) > $int ).

tff(func_def_126,type,
    sK42: ( $int * $int ) > $int ).

tff(func_def_127,type,
    sK43: ( $int * $int ) > $int ).

tff(func_def_128,type,
    sK44: ( $int * $int ) > set_0 ).

tff(func_def_129,type,
    sK45: ( $int * $int ) > $int ).

tff(func_def_130,type,
    sK46: ( $int * $int ) > set_0 ).

tff(func_def_131,type,
    sK47: ( $int * $int ) > set_0 ).

tff(func_def_132,type,
    sK48: ( $int * $int ) > set_0 ).

tff(func_def_133,type,
    sK49: ( $int * $int ) > $int ).

tff(func_def_134,type,
    sK50: set_0 > $int ).

tff(func_def_135,type,
    sK51: set_2 ).

tff(func_def_136,type,
    sK52: $int ).

tff(func_def_137,type,
    sK53: $int > $int ).

tff(func_def_138,type,
    sK54: set_0 ).

tff(func_def_139,type,
    sK55: set_2 ).

tff(func_def_140,type,
    sK56: $int > $int ).

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

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

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

tff(pred_def_4,type,
    mem4: ( $int * set_0 * set_4 ) > $o ).

tff(pred_def_8,type,
    sP0: ( $int * $int ) > $o ).

tff(pred_def_9,type,
    sP1: $int > $o ).

tff(pred_def_10,type,
    sP2: ( $int * set_0 ) > $o ).

tff(pred_def_11,type,
    sP3: $int > $o ).

tff(pred_def_12,type,
    sP4: ( $int * $int ) > $o ).

tff(pred_def_13,type,
    sP5: ( $int * $int * $int ) > $o ).

tff(pred_def_14,type,
    sP6: ( $int * $int ) > $o ).

tff(pred_def_15,type,
    sP7: ( set_0 * $int ) > $o ).

tff(f72,axiom,
    ! [X1: $int,X0: set_0] :
      ( ( ! [X2: $int] :
            ( ! [X3: $int,X4: $int] :
                ( ( mem2(X1,X4,g_s79_65)
                  & mem2(X1,X3,g_s78_64) )
               => ( $lesseq(X2,X4)
                  & $greatereq(X2,X3) ) )
          <=> mem0(X2,X0) )
        & mem0(X1,g_s40_40) )
    <=> mem4(X1,X0,g_s64_75) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Define:imlprp:2') ).

tff(f99,axiom,
    mem0(g_s90_81,g_s40_40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Local_Hyp:1') ).

tff(f100,axiom,
    ~ ! [X0: set_0] :
        ( ! [X1: $int] :
            ( $false
          <=> mem0(X1,X0) )
       => mem4(g_s90_81,X0,g_s64_75) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Local_Hyp:2') ).

tff(f101,conjecture,
    ! [X0: $int,X1: $int] :
      ( ( mem2(g_s90_81,X0,g_s78_64)
        & mem2(g_s90_81,X1,g_s79_65) )
     => $lesseq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Goal') ).

tff(f102,negated_conjecture,
    ~ ! [X0: $int,X1: $int] :
        ( ( mem2(g_s90_81,X0,g_s78_64)
          & mem2(g_s90_81,X1,g_s79_65) )
       => $lesseq(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f101]) ).

tff(f114,plain,
    ! [X1: $int,X0: set_0] :
      ( ( ! [X2: $int] :
            ( ! [X3: $int,X4: $int] :
                ( ( mem2(X1,X4,g_s79_65)
                  & mem2(X1,X3,g_s78_64) )
               => ( ~ $less(X4,X2)
                  & ~ $less(X2,X3) ) )
          <=> mem0(X2,X0) )
        & mem0(X1,g_s40_40) )
    <=> mem4(X1,X0,g_s64_75) ),
    inference(theory_normalization,[],[f72]) ).

tff(f127,plain,
    ~ ! [X1: $int,X0: $int] :
        ( ( mem2(g_s90_81,X0,g_s78_64)
          & mem2(g_s90_81,X1,g_s79_65) )
       => ~ $less(X1,X0) ),
    inference(theory_normalization,[],[f102]) ).

tff(f141,plain,
    ! [X0: $int,X1: set_0] :
      ( mem4(X0,X1,g_s64_75)
    <=> ( mem0(X0,g_s40_40)
        & ! [X2: $int] :
            ( mem0(X2,X1)
          <=> ! [X3: $int,X4: $int] :
                ( ( mem2(X0,X3,g_s78_64)
                  & mem2(X0,X4,g_s79_65) )
               => ( ~ $less(X4,X2)
                  & ~ $less(X2,X3) ) ) ) ) ),
    inference(rectify,[],[f114]) ).

tff(f146,plain,
    ~ ! [X0: set_0] :
        ( ! [X1: $int] : ~ mem0(X1,X0)
       => mem4(g_s90_81,X0,g_s64_75) ),
    inference(true_and_false_elimination,[],[f100]) ).

tff(f147,plain,
    ~ ! [X0: set_0] :
        ( ! [X1: $int] : ~ mem0(X1,X0)
       => mem4(g_s90_81,X0,g_s64_75) ),
    inference(flattening,[],[f146]) ).

tff(f158,plain,
    ? [X0: set_0] :
      ( ~ mem4(g_s90_81,X0,g_s64_75)
      & ! [X1: $int] : ~ mem0(X1,X0) ),
    inference(ennf_transformation,[],[f147]) ).

tff(f176,plain,
    ? [X1: $int,X0: $int] :
      ( $less(X1,X0)
      & mem2(g_s90_81,X0,g_s78_64)
      & mem2(g_s90_81,X1,g_s79_65) ),
    inference(ennf_transformation,[],[f127]) ).

tff(f177,plain,
    ? [X1: $int,X0: $int] :
      ( $less(X1,X0)
      & mem2(g_s90_81,X0,g_s78_64)
      & mem2(g_s90_81,X1,g_s79_65) ),
    inference(flattening,[],[f176]) ).

tff(f188,plain,
    ! [X0: $int,X1: set_0] :
      ( mem4(X0,X1,g_s64_75)
    <=> ( mem0(X0,g_s40_40)
        & ! [X2: $int] :
            ( mem0(X2,X1)
          <=> ! [X3: $int,X4: $int] :
                ( ( ~ $less(X4,X2)
                  & ~ $less(X2,X3) )
                | ~ mem2(X0,X3,g_s78_64)
                | ~ mem2(X0,X4,g_s79_65) ) ) ) ),
    inference(ennf_transformation,[],[f141]) ).

tff(f189,plain,
    ! [X0: $int,X1: set_0] :
      ( mem4(X0,X1,g_s64_75)
    <=> ( mem0(X0,g_s40_40)
        & ! [X2: $int] :
            ( mem0(X2,X1)
          <=> ! [X3: $int,X4: $int] :
                ( ( ~ $less(X4,X2)
                  & ~ $less(X2,X3) )
                | ~ mem2(X0,X3,g_s78_64)
                | ~ mem2(X0,X4,g_s79_65) ) ) ) ),
    inference(flattening,[],[f188]) ).

tff(f195,definition,
    ! [X0: $int,X1: set_0] :
      ( sP2(X0,X1)
    <=> ( mem0(X0,g_s40_40)
        & ! [X2: $int] :
            ( mem0(X2,X1)
          <=> ! [X3: $int,X4: $int] :
                ( ( ~ $less(X4,X2)
                  & ~ $less(X2,X3) )
                | ~ mem2(X0,X3,g_s78_64)
                | ~ mem2(X0,X4,g_s79_65) ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

tff(f196,plain,
    ! [X0: $int,X1: set_0] :
      ( mem4(X0,X1,g_s64_75)
    <=> sP2(X0,X1) ),
    inference(definition_folding,[],[f189,f195]) ).

tff(f219,plain,
    ? [X0: $int,X1: $int] :
      ( $less(X0,X1)
      & mem2(g_s90_81,X1,g_s78_64)
      & mem2(g_s90_81,X0,g_s79_65) ),
    inference(rectify,[],[f177]) ).

tff(f220,plain,
    ( $less(sK19,sK20)
    & mem2(g_s90_81,sK20,g_s78_64)
    & mem2(g_s90_81,sK19,g_s79_65) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f219]) ).

tff(f221,plain,
    ! [X0: $int,X1: set_0] :
      ( ( sP2(X0,X1)
        | ~ mem0(X0,g_s40_40)
        | ? [X2: $int] :
            ( ( ? [X3: $int,X4: $int] :
                  ( ( $less(X4,X2)
                    | $less(X2,X3) )
                  & mem2(X0,X3,g_s78_64)
                  & mem2(X0,X4,g_s79_65) )
              | ~ mem0(X2,X1) )
            & ( ! [X3: $int,X4: $int] :
                  ( ( ~ $less(X4,X2)
                    & ~ $less(X2,X3) )
                  | ~ mem2(X0,X3,g_s78_64)
                  | ~ mem2(X0,X4,g_s79_65) )
              | mem0(X2,X1) ) ) )
      & ( ( mem0(X0,g_s40_40)
          & ! [X2: $int] :
              ( ( mem0(X2,X1)
                | ? [X3: $int,X4: $int] :
                    ( ( $less(X4,X2)
                      | $less(X2,X3) )
                    & mem2(X0,X3,g_s78_64)
                    & mem2(X0,X4,g_s79_65) ) )
              & ( ! [X3: $int,X4: $int] :
                    ( ( ~ $less(X4,X2)
                      & ~ $less(X2,X3) )
                    | ~ mem2(X0,X3,g_s78_64)
                    | ~ mem2(X0,X4,g_s79_65) )
                | ~ mem0(X2,X1) ) ) )
        | ~ sP2(X0,X1) ) ),
    inference(nnf_transformation,[],[f195]) ).

tff(f222,plain,
    ! [X0: $int,X1: set_0] :
      ( ( sP2(X0,X1)
        | ~ mem0(X0,g_s40_40)
        | ? [X2: $int] :
            ( ( ? [X3: $int,X4: $int] :
                  ( ( $less(X4,X2)
                    | $less(X2,X3) )
                  & mem2(X0,X3,g_s78_64)
                  & mem2(X0,X4,g_s79_65) )
              | ~ mem0(X2,X1) )
            & ( ! [X3: $int,X4: $int] :
                  ( ( ~ $less(X4,X2)
                    & ~ $less(X2,X3) )
                  | ~ mem2(X0,X3,g_s78_64)
                  | ~ mem2(X0,X4,g_s79_65) )
              | mem0(X2,X1) ) ) )
      & ( ( mem0(X0,g_s40_40)
          & ! [X2: $int] :
              ( ( mem0(X2,X1)
                | ? [X3: $int,X4: $int] :
                    ( ( $less(X4,X2)
                      | $less(X2,X3) )
                    & mem2(X0,X3,g_s78_64)
                    & mem2(X0,X4,g_s79_65) ) )
              & ( ! [X3: $int,X4: $int] :
                    ( ( ~ $less(X4,X2)
                      & ~ $less(X2,X3) )
                    | ~ mem2(X0,X3,g_s78_64)
                    | ~ mem2(X0,X4,g_s79_65) )
                | ~ mem0(X2,X1) ) ) )
        | ~ sP2(X0,X1) ) ),
    inference(flattening,[],[f221]) ).

tff(f223,plain,
    ! [X0: $int,X1: set_0] :
      ( ( sP2(X0,X1)
        | ~ mem0(X0,g_s40_40)
        | ? [X2: $int] :
            ( ( ? [X3: $int,X4: $int] :
                  ( ( $less(X4,X2)
                    | $less(X2,X3) )
                  & mem2(X0,X3,g_s78_64)
                  & mem2(X0,X4,g_s79_65) )
              | ~ mem0(X2,X1) )
            & ( ! [X5: $int,X6: $int] :
                  ( ( ~ $less(X6,X2)
                    & ~ $less(X2,X5) )
                  | ~ mem2(X0,X5,g_s78_64)
                  | ~ mem2(X0,X6,g_s79_65) )
              | mem0(X2,X1) ) ) )
      & ( ( mem0(X0,g_s40_40)
          & ! [X7: $int] :
              ( ( mem0(X7,X1)
                | ? [X8: $int,X9: $int] :
                    ( ( $less(X9,X7)
                      | $less(X7,X8) )
                    & mem2(X0,X8,g_s78_64)
                    & mem2(X0,X9,g_s79_65) ) )
              & ( ! [X10: $int,X11: $int] :
                    ( ( ~ $less(X11,X7)
                      & ~ $less(X7,X10) )
                    | ~ mem2(X0,X10,g_s78_64)
                    | ~ mem2(X0,X11,g_s79_65) )
                | ~ mem0(X7,X1) ) ) )
        | ~ sP2(X0,X1) ) ),
    inference(rectify,[],[f222]) ).

tff(f224,plain,
    ! [X0: $int,X1: set_0] :
      ( ( sP2(X0,X1)
        | ~ mem0(X0,g_s40_40)
        | ( ( ( ( $less(sK23(X0,X1),sK21(X0,X1))
                | $less(sK21(X0,X1),sK22(X0,X1)) )
              & mem2(X0,sK22(X0,X1),g_s78_64)
              & mem2(X0,sK23(X0,X1),g_s79_65) )
            | ~ mem0(sK21(X0,X1),X1) )
          & ( ! [X5: $int,X6: $int] :
                ( ( ~ $less(X6,sK21(X0,X1))
                  & ~ $less(sK21(X0,X1),X5) )
                | ~ mem2(X0,X5,g_s78_64)
                | ~ mem2(X0,X6,g_s79_65) )
            | mem0(sK21(X0,X1),X1) ) ) )
      & ( ( mem0(X0,g_s40_40)
          & ! [X7: $int] :
              ( ( mem0(X7,X1)
                | ( ( $less(sK25(X0,X7),X7)
                    | $less(X7,sK24(X0,X7)) )
                  & mem2(X0,sK24(X0,X7),g_s78_64)
                  & mem2(X0,sK25(X0,X7),g_s79_65) ) )
              & ( ! [X10: $int,X11: $int] :
                    ( ( ~ $less(X11,X7)
                      & ~ $less(X7,X10) )
                    | ~ mem2(X0,X10,g_s78_64)
                    | ~ mem2(X0,X11,g_s79_65) )
                | ~ mem0(X7,X1) ) ) )
        | ~ sP2(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25]),skolemize(X2,sK21(X0,X1)),skolemize(X3,sK22(X0,X1)),skolemize(X4,sK23(X0,X1)),skolemize(X8,sK24(X0,X7)),skolemize(X9,sK25(X0,X7))],[f223]) ).

tff(f225,plain,
    ! [X0: $int,X1: set_0] :
      ( ( mem4(X0,X1,g_s64_75)
        | ~ sP2(X0,X1) )
      & ( sP2(X0,X1)
        | ~ mem4(X0,X1,g_s64_75) ) ),
    inference(nnf_transformation,[],[f196]) ).

tff(f256,plain,
    ( ~ mem4(g_s90_81,sK54,g_s64_75)
    & ! [X1: $int] : ~ mem0(X1,sK54) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(X0,sK54)],[f158]) ).

tff(f289,plain,
    mem2(g_s90_81,sK19,g_s79_65),
    inference(cnf_transformation,[],[f220]) ).

tff(f290,plain,
    mem2(g_s90_81,sK20,g_s78_64),
    inference(cnf_transformation,[],[f220]) ).

tff(f291,plain,
    $less(sK19,sK20),
    inference(cnf_transformation,[],[f220]) ).

tff(f298,plain,
    ! [X0: $int,X1: set_0,X6: $int,X5: $int] :
      ( ~ $less(sK21(X0,X1),X5)
      | ~ mem0(X0,g_s40_40)
      | sP2(X0,X1)
      | ~ mem2(X0,X5,g_s78_64)
      | mem0(sK21(X0,X1),X1)
      | ~ mem2(X0,X6,g_s79_65) ),
    inference(cnf_transformation,[],[f224]) ).

tff(f299,plain,
    ! [X0: $int,X1: set_0,X6: $int,X5: $int] :
      ( ~ $less(X6,sK21(X0,X1))
      | sP2(X0,X1)
      | ~ mem0(X0,g_s40_40)
      | ~ mem2(X0,X6,g_s79_65)
      | ~ mem2(X0,X5,g_s78_64)
      | mem0(sK21(X0,X1),X1) ),
    inference(cnf_transformation,[],[f224]) ).

tff(f304,plain,
    ! [X0: $int,X1: set_0] :
      ( mem4(X0,X1,g_s64_75)
      | ~ sP2(X0,X1) ),
    inference(cnf_transformation,[],[f225]) ).

tff(f377,plain,
    ! [X1: $int] : ~ mem0(X1,sK54),
    inference(cnf_transformation,[],[f256]) ).

tff(f378,plain,
    ~ mem4(g_s90_81,sK54,g_s64_75),
    inference(cnf_transformation,[],[f256]) ).

tff(f386,plain,
    mem0(g_s90_81,g_s40_40),
    inference(cnf_transformation,[],[f99]) ).

tff(f398,definition,
    ( spl57_2
  <=> mem0(g_s90_81,g_s40_40) ),
    introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).

tff(f400,plain,
    ( mem0(g_s90_81,g_s40_40)
    | ~ spl57_2 ),
    inference(avatar_component_clause,[],[f398]) ).

tff(f401,plain,
    spl57_2,
    inference(avatar_split_clause,[],[f386,f398]) ).

tff(f403,definition,
    ( spl57_3
  <=> mem2(g_s90_81,sK20,g_s78_64) ),
    introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).

tff(f405,plain,
    ( mem2(g_s90_81,sK20,g_s78_64)
    | ~ spl57_3 ),
    inference(avatar_component_clause,[],[f403]) ).

tff(f406,plain,
    spl57_3,
    inference(avatar_split_clause,[],[f290,f403]) ).

tff(f408,definition,
    ( spl57_4
  <=> mem4(g_s90_81,sK54,g_s64_75) ),
    introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).

tff(f410,plain,
    ( ~ mem4(g_s90_81,sK54,g_s64_75)
    | spl57_4 ),
    inference(avatar_component_clause,[],[f408]) ).

tff(f411,plain,
    ~ spl57_4,
    inference(avatar_split_clause,[],[f378,f408]) ).

tff(f413,definition,
    ( spl57_5
  <=> mem2(g_s90_81,sK19,g_s79_65) ),
    introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).

tff(f415,plain,
    ( mem2(g_s90_81,sK19,g_s79_65)
    | ~ spl57_5 ),
    inference(avatar_component_clause,[],[f413]) ).

tff(f416,plain,
    spl57_5,
    inference(avatar_split_clause,[],[f289,f413]) ).

tff(f418,definition,
    ( spl57_6
  <=> $less(sK19,sK20) ),
    introduced(definition,[new_symbols(definition,[spl57_6])],[avatar_definition]) ).

tff(f421,plain,
    spl57_6,
    inference(avatar_split_clause,[],[f291,f418]) ).

tff(f503,plain,
    ( ~ sP2(g_s90_81,sK54)
    | spl57_4 ),
    inference(resolution,[],[f410,f304]) ).

tff(f516,definition,
    ( spl57_19
  <=> sP2(g_s90_81,sK54) ),
    introduced(definition,[new_symbols(definition,[spl57_19])],[avatar_definition]) ).

tff(f518,plain,
    ( ~ sP2(g_s90_81,sK54)
    | spl57_19 ),
    inference(avatar_component_clause,[],[f516]) ).

tff(f519,plain,
    ( ~ spl57_19
    | spl57_4 ),
    inference(avatar_split_clause,[],[f503,f408,f516]) ).

tff(f617,plain,
    ( ~ $less(sK21(g_s90_81,sK54),sK20)
    | ~ spl57_2
    | ~ spl57_3
    | ~ spl57_5
    | spl57_19 ),
    inference(unit_resulting_resolution,[],[f298,f415,f400,f405,f377,f518]) ).

tff(f618,plain,
    ( ~ $less(sK19,sK21(g_s90_81,sK54))
    | ~ spl57_2
    | ~ spl57_3
    | ~ spl57_5
    | spl57_19 ),
    inference(unit_resulting_resolution,[],[f299,f400,f405,f415,f377,f518]) ).

tff(f620,definition,
    ( spl57_30
  <=> $less(sK21(g_s90_81,sK54),sK20) ),
    introduced(definition,[new_symbols(definition,[spl57_30])],[avatar_definition]) ).

tff(f623,plain,
    ( ~ spl57_30
    | ~ spl57_2
    | ~ spl57_3
    | ~ spl57_5
    | spl57_19 ),
    inference(avatar_split_clause,[],[f617,f516,f413,f403,f398,f620]) ).

tff(f625,definition,
    ( spl57_31
  <=> $less(sK19,sK21(g_s90_81,sK54)) ),
    introduced(definition,[new_symbols(definition,[spl57_31])],[avatar_definition]) ).

tff(f628,plain,
    ( ~ spl57_31
    | ~ spl57_2
    | ~ spl57_3
    | ~ spl57_5
    | spl57_19 ),
    inference(avatar_split_clause,[],[f618,f516,f413,f403,f398,f625]) ).

tff(f629,plain,
    $false,
    inference(avatar_smt_refutation,[],[f628,f623,f519,f421,f416,f411,f406,f401]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWC540_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 09:41:34 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.12  Running first-order theorem proving
% 0.09/0.12  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.46/0.92  % (3266397)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.46/0.92  % (3266410)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2841474861:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.46/0.92  % (3266415)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3796954329:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.46/0.92  % (3266414)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=298259313:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.46/0.92  % (3266412)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2016149889:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.46/0.92  % (3266416)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1678154713:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.46/0.92  % (3266413)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=514617570:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.46/0.92  % (3266411)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2926570350:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.46/0.92  % (3266414)Instruction limit reached! 
% 3.46/0.92  % (3266414)------------------------------
% 3.46/0.92  % (3266414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/0.92  % (3266414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3266414)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3266414)Termination reason: Instruction limit
% 3.46/0.92  % (3266414)Termination phase: Preprocessing 1
% 3.46/0.92  % (3266414)Time elapsed: 0.002 s
% 3.46/0.92  % (3266414)Peak memory usage: 86 MB
% 3.46/0.92  % (3266414)Instructions burned: 4 (million)
% 3.46/0.92  % (3266413)Instruction limit reached! 
% 3.46/0.92  % (3266413)------------------------------
% 3.46/0.92  % (3266413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/0.92  % (3266413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3266413)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3266413)Termination reason: Instruction limit
% 3.46/0.92  % (3266413)Termination phase: Preprocessing 3
% 3.46/0.92  % (3266413)Time elapsed: 0.004 s
% 3.46/0.92  % (3266413)Peak memory usage: 87 MB
% 3.46/0.92  % (3266413)Instructions burned: 7 (million)
% 3.46/0.92  % (3266410)Instruction limit reached! 
% 3.46/0.92  % (3266410)------------------------------
% 3.46/0.92  % (3266410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/0.92  % (3266410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3266410)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3266410)Termination reason: Instruction limit
% 3.46/0.92  % (3266410)Termination phase: Preprocessing 3
% 3.46/0.92  % (3266410)Time elapsed: 0.005 s
% 3.46/0.92  % (3266410)Peak memory usage: 86 MB
% 3.46/0.92  % (3266410)Instructions burned: 12 (million)
% 3.46/0.92  % (3266416)Instruction limit reached! 
% 3.46/0.92  % (3266416)------------------------------
% 3.46/0.92  % (3266416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/0.92  % (3266416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3266416)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3266416)Termination reason: Instruction limit
% 3.46/0.92  % (3266416)Termination phase: Saturation
% 3.46/0.92  % (3266416)Time elapsed: 0.034 s
% 3.46/0.92  % (3266416)Peak memory usage: 113 MB
% 3.46/0.92  % (3266416)Instructions burned: 34 (million)
% 3.46/0.92  % (3266415)Instruction limit reached! 
% 3.46/0.92  % (3266415)------------------------------
% 3.46/0.92  % (3266415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/0.92  % (3266415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3266415)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3266415)Termination reason: Instruction limit
% 3.46/0.92  % (3266415)Termination phase: Saturation
% 3.46/0.92  % (3266415)Time elapsed: 0.039 s
% 3.46/0.92  % (3266415)Peak memory usage: 116 MB
% 3.46/0.92  % (3266415)Instructions burned: 47 (million)
% 3.46/0.92  % (3266412)Instruction limit reached! 
% 3.46/0.92  % (3266412)------------------------------
% 3.46/0.92  % (3266412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/0.92  % (3266412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.08  % (3266412)CaDiCaL version: 2.1.3
% 4.79/1.08  % (3266412)Termination reason: Instruction limit
% 4.79/1.08  % (3266412)Termination phase: Saturation
% 4.79/1.08  % (3266412)Time elapsed: 0.130 s
% 4.79/1.08  % (3266412)Peak memory usage: 119 MB
% 4.79/1.08  % (3266412)Instructions burned: 203 (million)
% 4.79/1.08  % (3266436)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1193634109:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.79/1.08  % (3266436)Instruction limit reached! 
% 4.79/1.08  % (3266436)------------------------------
% 4.79/1.08  % (3266436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.08  % (3266436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.08  % (3266436)CaDiCaL version: 2.1.3
% 4.79/1.08  % (3266436)Termination reason: Instruction limit
% 4.79/1.08  % (3266436)Termination phase: Blocked clause elimination
% 4.79/1.08  % (3266436)Time elapsed: 0.006 s
% 4.79/1.08  % (3266436)Peak memory usage: 87 MB
% 4.79/1.08  % (3266436)Instructions burned: 17 (million)
% 4.79/1.08  % (3266437)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=2394944210:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.79/1.08  % (3266411)Instruction limit reached! 
% 4.79/1.08  % (3266411)------------------------------
% 4.79/1.08  % (3266411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.08  % (3266411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.08  % (3266411)CaDiCaL version: 2.1.3
% 4.79/1.08  % (3266411)Termination reason: Instruction limit
% 4.79/1.08  % (3266411)Termination phase: Saturation
% 4.79/1.08  % (3266411)Time elapsed: 0.187 s
% 4.79/1.08  % (3266411)Peak memory usage: 118 MB
% 4.79/1.08  % (3266411)Instructions burned: 308 (million)
% 4.79/1.08  % (3266437)Instruction limit reached! 
% 4.79/1.08  % (3266437)------------------------------
% 4.79/1.08  % (3266437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.08  % (3266437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.08  % (3266437)CaDiCaL version: 2.1.3
% 4.79/1.08  % (3266437)Termination reason: Instruction limit
% 4.79/1.08  % (3266437)Termination phase: Saturation
% 4.79/1.08  % (3266437)Time elapsed: 0.015 s
% 4.79/1.08  % (3266437)Peak memory usage: 89 MB
% 4.79/1.08  % (3266437)Instructions burned: 31 (million)
% 4.79/1.08  % (3266439)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3637249791:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.79/1.08  % (3266438)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3010043164:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.79/1.08  % (3266440)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=1876043514:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.79/1.08  % (3266438)Instruction limit reached! 
% 4.79/1.08  % (3266438)------------------------------
% 4.79/1.08  % (3266438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.08  % (3266438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.08  % (3266438)CaDiCaL version: 2.1.3
% 4.79/1.08  % (3266438)Termination reason: Instruction limit
% 4.79/1.08  % (3266438)Termination phase: Property scanning
% 4.79/1.08  % (3266438)Time elapsed: 0.008 s
% 4.79/1.08  % (3266438)Peak memory usage: 87 MB
% 4.79/1.08  % (3266438)Instructions burned: 16 (million)
% 4.79/1.08  % (3266439)Instruction limit reached! 
% 4.79/1.08  % (3266439)------------------------------
% 4.79/1.08  % (3266439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.08  % (3266439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.08  % (3266439)CaDiCaL version: 2.1.3
% 4.79/1.08  % (3266439)Termination reason: Instruction limit
% 4.79/1.08  % (3266439)Termination phase: Saturation
% 4.79/1.08  % (3266439)Time elapsed: 0.020 s
% 4.79/1.08  % (3266439)Peak memory usage: 90 MB
% 4.79/1.08  % (3266439)Instructions burned: 25 (million)
% 4.79/1.08  % (3266440)Instruction limit reached! 
% 4.79/1.08  % (3266440)------------------------------
% 4.79/1.08  % (3266440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.08  % (3266440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.18  % (3266440)CaDiCaL version: 2.1.3
% 5.33/1.18  % (3266440)Termination reason: Instruction limit
% 5.33/1.18  % (3266440)Termination phase: Saturation
% 5.33/1.18  % (3266440)Time elapsed: 0.015 s
% 5.33/1.18  % (3266440)Peak memory usage: 89 MB
% 5.33/1.18  % (3266440)Instructions burned: 28 (million)
% 5.33/1.18  % (3266451)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2539510149:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.33/1.18  % (3266454)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=141176381:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.33/1.18  % (3266451)Instruction limit reached! 
% 5.33/1.18  % (3266451)------------------------------
% 5.33/1.18  % (3266451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.18  % (3266451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.18  % (3266451)CaDiCaL version: 2.1.3
% 5.33/1.18  % (3266451)Termination reason: Instruction limit
% 5.33/1.18  % (3266451)Termination phase: Saturation
% 5.33/1.18  % (3266451)Time elapsed: 0.045 s
% 5.33/1.18  % (3266451)Peak memory usage: 90 MB
% 5.33/1.18  % (3266451)Instructions burned: 86 (million)
% 5.33/1.18  % (3266454)Instruction limit reached! 
% 5.33/1.18  % (3266454)------------------------------
% 5.33/1.18  % (3266454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.18  % (3266454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.18  % (3266454)CaDiCaL version: 2.1.3
% 5.33/1.18  % (3266454)Termination reason: Instruction limit
% 5.33/1.18  % (3266454)Termination phase: Property scanning
% 5.33/1.18  % (3266454)Time elapsed: 0.002 s
% 5.33/1.18  % (3266454)Peak memory usage: 85 MB
% 5.33/1.18  % (3266454)Instructions burned: 3 (million)
% 5.33/1.18  % (3266467)lrs+10_1_thi=all:si=on:fd=off:random_seed=3270453748:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.33/1.18  % (3266457)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1522279499:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.33/1.18  % (3266459)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3630145266:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.33/1.19  % (3266459)Instruction limit reached! 
% 5.33/1.19  % (3266459)------------------------------
% 5.33/1.19  % (3266459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.19  % (3266459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.19  % (3266459)CaDiCaL version: 2.1.3
% 5.33/1.19  % (3266459)Termination reason: Instruction limit
% 5.33/1.19  % (3266459)Termination phase: Preprocessing 2
% 5.33/1.19  % (3266459)Time elapsed: 0.002 s
% 5.33/1.19  % (3266459)Peak memory usage: 85 MB
% 5.33/1.19  % (3266459)Instructions burned: 5 (million)
% 5.33/1.19  % (3266467)Instruction limit reached! 
% 5.33/1.19  % (3266467)------------------------------
% 5.33/1.19  % (3266467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.19  % (3266467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.19  % (3266467)CaDiCaL version: 2.1.3
% 5.33/1.19  % (3266467)Termination reason: Instruction limit
% 5.33/1.19  % (3266467)Termination phase: Saturation
% 5.33/1.19  % (3266467)Time elapsed: 0.034 s
% 5.33/1.19  % (3266467)Peak memory usage: 117 MB
% 5.33/1.19  % (3266467)Instructions burned: 53 (million)
% 5.33/1.19  % (3266466)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=878011931:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.33/1.19  % (3266468)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=3401918446:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.33/1.19  % (3266468)Instruction limit reached! 
% 5.33/1.19  % (3266468)------------------------------
% 5.33/1.19  % (3266468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.19  % (3266468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.19  % (3266468)CaDiCaL version: 2.1.3
% 5.33/1.19  % (3266468)Termination reason: Instruction limit
% 5.33/1.19  % (3266468)Termination phase: Naming
% 5.33/1.19  % (3266468)Time elapsed: 0.004 s
% 5.33/1.19  % (3266468)Peak memory usage: 86 MB
% 5.33/1.19  % (3266468)Instructions burned: 8 (million)
% 6.07/1.35  % (3266457)Instruction limit reached! 
% 6.07/1.35  % (3266457)------------------------------
% 6.07/1.35  % (3266457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.35  % (3266457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.35  % (3266457)CaDiCaL version: 2.1.3
% 6.07/1.35  % (3266457)Termination reason: Instruction limit
% 6.07/1.35  % (3266457)Termination phase: Saturation
% 6.07/1.35  % (3266457)Time elapsed: 0.103 s
% 6.07/1.35  % (3266457)Peak memory usage: 91 MB
% 6.07/1.35  % (3266457)Instructions burned: 181 (million)
% 6.07/1.35  % (3266466)Instruction limit reached! 
% 6.07/1.35  % (3266466)------------------------------
% 6.07/1.35  % (3266466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.35  % (3266466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.35  % (3266466)CaDiCaL version: 2.1.3
% 6.07/1.35  % (3266466)Termination reason: Instruction limit
% 6.07/1.35  % (3266466)Termination phase: Saturation
% 6.07/1.35  % (3266466)Time elapsed: 0.066 s
% 6.07/1.35  % (3266466)Peak memory usage: 135 MB
% 6.07/1.35  % (3266466)Instructions burned: 66 (million)
% 6.07/1.35  % (3266481)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3717355857:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 6.07/1.35  % (3266482)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1453965692:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.07/1.35  % (3266482)Instruction limit reached! 
% 6.07/1.35  % (3266482)------------------------------
% 6.07/1.35  % (3266482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.35  % (3266482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.35  % (3266482)CaDiCaL version: 2.1.3
% 6.07/1.35  % (3266482)Termination reason: Instruction limit
% 6.07/1.35  % (3266482)Termination phase: Preprocessing 1
% 6.07/1.35  % (3266482)Time elapsed: 0.001 s
% 6.07/1.35  % (3266482)Peak memory usage: 85 MB
% 6.07/1.35  % (3266482)Instructions burned: 3 (million)
% 6.07/1.35  % (3266481)Instruction limit reached! 
% 6.07/1.35  % (3266481)------------------------------
% 6.07/1.35  % (3266481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.35  % (3266481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.35  % (3266481)CaDiCaL version: 2.1.3
% 6.07/1.35  % (3266481)Termination reason: Instruction limit
% 6.07/1.35  % (3266481)Termination phase: Preprocessing 3
% 6.07/1.35  % (3266481)Time elapsed: 0.003 s
% 6.07/1.35  % (3266481)Peak memory usage: 86 MB
% 6.07/1.35  % (3266481)Instructions burned: 7 (million)
% 6.07/1.35  % (3266488)dis+10_1_si=on:random_seed=1219397761:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.07/1.35  % (3266487)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=787673761:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 6.07/1.35  % (3266488)Instruction limit reached! 
% 6.07/1.35  % (3266488)------------------------------
% 6.07/1.35  % (3266488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.35  % (3266488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.35  % (3266488)CaDiCaL version: 2.1.3
% 6.07/1.35  % (3266488)Termination reason: Instruction limit
% 6.07/1.35  % (3266488)Termination phase: Preprocessing 3
% 6.07/1.35  % (3266488)Time elapsed: 0.004 s
% 6.07/1.35  % (3266488)Peak memory usage: 87 MB
% 6.07/1.35  % (3266488)Instructions burned: 10 (million)
% 6.07/1.35  % (3266495)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=2248047526:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.07/1.35  % (3266495)Instruction limit reached! 
% 6.07/1.35  % (3266495)------------------------------
% 6.07/1.35  % (3266495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.35  % (3266495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.35  % (3266495)CaDiCaL version: 2.1.3
% 6.07/1.35  % (3266495)Termination reason: Instruction limit
% 6.07/1.35  % (3266495)Termination phase: Saturation
% 6.07/1.35  % (3266495)Time elapsed: 0.009 s
% 6.07/1.35  % (3266495)Peak memory usage: 89 MB
% 6.07/1.35  % (3266495)Instructions burned: 27 (million)
% 6.07/1.35  % (3266487)Instruction limit reached! 
% 6.07/1.35  % (3266487)------------------------------
% 6.07/1.35  % (3266487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.35  % (3266487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266487)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266487)Termination reason: Instruction limit
% 6.07/1.37  % (3266487)Termination phase: Saturation
% 6.07/1.37  % (3266487)Time elapsed: 0.057 s
% 6.07/1.37  % (3266487)Peak memory usage: 117 MB
% 6.07/1.37  % (3266487)Instructions burned: 130 (million)
% 6.07/1.37  % (3266498)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=694405213: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)
% 6.07/1.37  % (3266498)Instruction limit reached! 
% 6.07/1.37  % (3266498)------------------------------
% 6.07/1.37  % (3266498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266498)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266498)Termination reason: Instruction limit
% 6.07/1.37  % (3266498)Termination phase: Saturation
% 6.07/1.37  % (3266498)Time elapsed: 0.013 s
% 6.07/1.37  % (3266498)Peak memory usage: 90 MB
% 6.07/1.37  % (3266498)Instructions burned: 37 (million)
% 6.07/1.37  % (3266501)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=665503673:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 6.07/1.37  % (3266501)Instruction limit reached! 
% 6.07/1.37  % (3266501)------------------------------
% 6.07/1.37  % (3266501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266501)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266501)Termination reason: Instruction limit
% 6.07/1.37  % (3266501)Termination phase: Preprocessing 3
% 6.07/1.37  % (3266501)Time elapsed: 0.002 s
% 6.07/1.37  % (3266501)Peak memory usage: 87 MB
% 6.07/1.37  % (3266501)Instructions burned: 6 (million)
% 6.07/1.37  % (3266505)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1218397932:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 6.07/1.37  % (3266504)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=12351345:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 6.07/1.37  % (3266504)Instruction limit reached! 
% 6.07/1.37  % (3266504)------------------------------
% 6.07/1.37  % (3266504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266504)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266504)Termination reason: Instruction limit
% 6.07/1.37  % (3266504)Termination phase: Preprocessing 3
% 6.07/1.37  % (3266504)Time elapsed: 0.003 s
% 6.07/1.37  % (3266504)Peak memory usage: 86 MB
% 6.07/1.37  % (3266504)Instructions burned: 8 (million)
% 6.07/1.37  % (3266508)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2616080921:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 6.07/1.37  % (3266508)Instruction limit reached! 
% 6.07/1.37  % (3266508)------------------------------
% 6.07/1.37  % (3266508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266508)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266508)Termination reason: Instruction limit
% 6.07/1.37  % (3266508)Termination phase: Property scanning
% 6.07/1.37  % (3266508)Time elapsed: 0.005 s
% 6.07/1.37  % (3266508)Peak memory usage: 87 MB
% 6.07/1.37  % (3266508)Instructions burned: 14 (million)
% 6.07/1.37  % (3266510)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=860231352:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 6.07/1.37  % (3266512)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3964871315:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 6.07/1.37  % (3266512)Instruction limit reached! 
% 6.07/1.37  % (3266512)------------------------------
% 6.07/1.37  % (3266512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266512)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266512)Termination reason: Instruction limit
% 6.07/1.37  % (3266512)Termination phase: Saturation
% 6.07/1.37  % (3266512)Time elapsed: 0.005 s
% 6.07/1.37  % (3266512)Peak memory usage: 87 MB
% 6.07/1.37  % (3266512)Instructions burned: 13 (million)
% 6.07/1.37  % (3266514)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1115302220:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 6.07/1.37  % (3266510)First to succeed.
% 6.07/1.37  % (3266510)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3266397"
% 6.07/1.37  % (3266515)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=2132243607:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 6.07/1.37  % (3266518)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=2490058737:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 6.07/1.37  % (3266505)Instruction limit reached! 
% 6.07/1.37  % (3266505)------------------------------
% 6.07/1.37  % (3266505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266505)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266505)Termination reason: Instruction limit
% 6.07/1.37  % (3266505)Termination phase: Saturation
% 6.07/1.37  % (3266505)Time elapsed: 0.115 s
% 6.07/1.37  % (3266505)Peak memory usage: 92 MB
% 6.07/1.37  % (3266505)Instructions burned: 372 (million)
% 6.07/1.37  % (3266515)Instruction limit reached! 
% 6.07/1.37  % (3266515)------------------------------
% 6.07/1.37  % (3266515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266515)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266515)Termination reason: Instruction limit
% 6.07/1.37  % (3266515)Termination phase: Saturation
% 6.07/1.37  % (3266515)Time elapsed: 0.032 s
% 6.07/1.37  % (3266515)Peak memory usage: 91 MB
% 6.07/1.37  % (3266515)Instructions burned: 75 (million)
% 6.07/1.37  % (3266521)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2443368196:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2992 on theBenchmark for (2992ds/130Mi)
% 6.07/1.37  % (3266514)Instruction limit reached! 
% 6.07/1.37  % (3266514)------------------------------
% 6.07/1.37  % (3266514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266514)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266514)Termination reason: Instruction limit
% 6.07/1.37  % (3266514)Termination phase: Saturation
% 6.07/1.37  % (3266514)Time elapsed: 0.052 s
% 6.07/1.37  % (3266514)Peak memory usage: 134 MB
% 6.07/1.37  % (3266514)Instructions burned: 74 (million)
% 6.07/1.37  % (3266524)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=2429408112:i=131:rtra=on_2991 on theBenchmark for (2991ds/131Mi)
% 6.07/1.37  % (3266521)Instruction limit reached! 
% 6.07/1.37  % (3266521)------------------------------
% 6.07/1.37  % (3266521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266521)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266521)Termination reason: Instruction limit
% 6.07/1.37  % (3266521)Termination phase: Saturation
% 6.07/1.37  % (3266521)Time elapsed: 0.057 s
% 6.07/1.37  % (3266521)Peak memory usage: 117 MB
% 6.07/1.37  % (3266521)Instructions burned: 130 (million)
% 6.07/1.37  % (3266518)Instruction limit reached! 
% 6.07/1.37  % (3266518)------------------------------
% 6.07/1.37  % (3266518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.37  % (3266518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.37  % (3266518)CaDiCaL version: 2.1.3
% 6.07/1.37  % (3266518)Termination reason: Instruction limit
% 6.07/1.37  % (3266518)Termination phase: Saturation
% 6.07/1.37  % (3266518)Time elapsed: 0.115 s
% 6.07/1.37  % (3266518)Peak memory usage: 92 MB
% 6.07/1.37  % (3266518)Instructions burned: 295 (million)
% 6.07/1.37  % (3266537)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2797579956:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2991 on theBenchmark for (2991ds/40Mi)
% 6.07/1.37  % (3266541)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=2198355908:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 6.07/1.37  % (3266550)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=1748904407:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 6.07/1.37  % (3266510)Refutation found. Thanks to Tanya!
% 6.07/1.37  % SZS status Theorem for theBenchmark
% 6.07/1.37  % SZS output start Proof for theBenchmark
% See solution above
% 7.43/1.48  % (3266510)------------------------------
% 7.43/1.48  % (3266510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.43/1.48  % (3266510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/1.48  % (3266510)CaDiCaL version: 2.1.3
% 7.43/1.48  % (3266510)Termination reason: Refutation
% 7.43/1.48  % (3266510)Time elapsed: 0.034 s
% 7.43/1.48  % (3266510)Peak memory usage: 117 MB
% 7.43/1.48  % (3266510)Instructions burned: 46 (million)
% 7.43/1.48  % (3266510)------------------------------
% 7.43/1.48  % (3266510)------------------------------
% 7.43/1.48  % (3266397)Success in time 1.033 s
% 7.43/1.48  % Vampire exiting
%------------------------------------------------------------------------------