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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW620_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 01:30:58 PM UTC 2026

% Result   : Theorem 10.24s 2.32s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   51 (   9 unt;   0 typ;   6 def)
%            Number of atoms       :  130 (   6 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  128 (  49   ~;  24   |;  37   &)
%                                         (   9 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number arithmetic     :  190 (  54 atm;  33 fun;  49 num;  54 var)
%            Number of types       :    9 (   7 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  19 usr;   7 prp; 0-7 aty)
%            Number of functors    :   50 (  47 usr;  14 con; 0-5 aty)
%            Number of variables   :   89 (  76   !;  13   ?;  89   :)

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

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

tff(type_def_7,type,
    bool1: $tType ).

tff(type_def_8,type,
    tuple02: $tType ).

tff(type_def_9,type,
    elt6: $tType ).

tff(type_def_10,type,
    array_elt3: $tType ).

tff(type_def_11,type,
    map_int_elt3: $tType ).

tff(func_def_0,type,
    witness1: ty > uni ).

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool: ty ).

tff(func_def_4,type,
    true1: bool1 ).

tff(func_def_5,type,
    false1: bool1 ).

tff(func_def_6,type,
    match_bool1: ( ty * bool1 * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple0: ty ).

tff(func_def_8,type,
    tuple03: tuple02 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    map: ( ty * ty ) > ty ).

tff(func_def_13,type,
    get: ( ty * ty * uni * uni ) > uni ).

tff(func_def_14,type,
    set: ( ty * ty * uni * uni * uni ) > uni ).

tff(func_def_15,type,
    const: ( ty * ty * uni ) > uni ).

tff(func_def_16,type,
    array: ty > ty ).

tff(func_def_17,type,
    mk_array1: ( ty * $int * uni ) > uni ).

tff(func_def_18,type,
    length1: ( ty * uni ) > $int ).

tff(func_def_19,type,
    elts: ( ty * uni ) > uni ).

tff(func_def_20,type,
    get2: ( ty * uni * $int ) > uni ).

tff(func_def_21,type,
    t2tb: $int > uni ).

tff(func_def_22,type,
    tb2t: uni > $int ).

tff(func_def_23,type,
    set2: ( ty * uni * $int * uni ) > uni ).

tff(func_def_24,type,
    make1: ( ty * $int * uni ) > uni ).

tff(func_def_25,type,
    elt7: ty ).

tff(func_def_26,type,
    t2tb10: array_elt3 > uni ).

tff(func_def_27,type,
    tb2t10: uni > array_elt3 ).

tff(func_def_28,type,
    t2tb11: elt6 > uni ).

tff(func_def_29,type,
    tb2t11: uni > elt6 ).

tff(func_def_30,type,
    ref: ty > ty ).

tff(func_def_31,type,
    mk_ref: ( ty * uni ) > uni ).

tff(func_def_32,type,
    contents: ( ty * uni ) > uni ).

tff(func_def_33,type,
    occ1: ( ty * uni * uni * $int * $int ) > $int ).

tff(func_def_37,type,
    abs: $int > $int ).

tff(func_def_39,type,
    div: ( $int * $int ) > $int ).

tff(func_def_40,type,
    mod: ( $int * $int ) > $int ).

tff(func_def_41,type,
    min: ( $int * $int ) > $int ).

tff(func_def_42,type,
    max: ( $int * $int ) > $int ).

tff(func_def_43,type,
    t2tb12: map_int_elt3 > uni ).

tff(func_def_44,type,
    tb2t12: uni > map_int_elt3 ).

tff(func_def_45,type,
    sK0: $int ).

tff(func_def_46,type,
    sK1: map_int_elt3 ).

tff(func_def_47,type,
    sK2: $int ).

tff(func_def_48,type,
    sK3: ( uni * $int * uni * ty * $int ) > $int ).

tff(func_def_49,type,
    sK4: ( uni * uni * $int * ty * $int ) > $int ).

tff(func_def_50,type,
    sK5: ( $int * uni * $int * uni * ty ) > $int ).

tff(func_def_51,type,
    sK6: ( array_elt3 * $int * $int ) > $int ).

tff(func_def_52,type,
    sK7: ( array_elt3 * $int * $int ) > $int ).

tff(pred_def_1,type,
    sort1: ( ty * uni ) > $o ).

tff(pred_def_3,type,
    le4: ( elt6 * elt6 ) > $o ).

tff(pred_def_4,type,
    sorted_sub4: ( array_elt3 * $int * $int ) > $o ).

tff(pred_def_6,type,
    sorted4: array_elt3 > $o ).

tff(pred_def_7,type,
    permut2: ( ty * uni * uni * $int * $int ) > $o ).

tff(pred_def_8,type,
    map_eq_sub1: ( ty * uni * uni * $int * $int ) > $o ).

tff(pred_def_9,type,
    array_eq_sub1: ( ty * uni * uni * $int * $int ) > $o ).

tff(pred_def_10,type,
    array_eq: ( ty * uni * uni ) > $o ).

tff(pred_def_11,type,
    exchange2: ( ty * uni * uni * $int * $int * $int * $int ) > $o ).

tff(pred_def_12,type,
    exchange3: ( ty * uni * uni * $int * $int ) > $o ).

tff(pred_def_13,type,
    permut3: ( ty * uni * uni * $int * $int ) > $o ).

tff(pred_def_14,type,
    permut_sub1: ( ty * uni * uni * $int * $int ) > $o ).

tff(pred_def_15,type,
    permut_all: ( ty * uni * uni ) > $o ).

tff(f24,axiom,
    ! [X2: $int,X1: uni,X0: ty] : ( get2(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def) ).

tff(f31,axiom,
    ! [X1: elt6,X0: elt6] :
      ( le4(X0,X1)
      | le4(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total4) ).

tff(f34,axiom,
    ! [X0: uni] : ( t2tb10(tb2t10(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR10) ).

tff(f38,axiom,
    ! [X0: array_elt3,X1: $int,X2: $int] :
      ( ! [X4: $int,X3: $int] :
          ( ( $lesseq(X1,X3)
            & $less(X4,X2)
            & $lesseq(X3,X4) )
         => le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) )
    <=> sorted_sub4(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted_sub_def3) ).

tff(f98,conjecture,
    ! [X0: $int,X2: $int,X1: map_int_elt3] :
      ( ( $less(X2,X0)
        & $lesseq(0,X2)
        & $lesseq(0,X0) )
     => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_find_run) ).

tff(f99,negated_conjecture,
    ~ ! [X0: $int,X2: $int,X1: map_int_elt3] :
        ( ( $less(X2,X0)
          & $lesseq(0,X2)
          & $lesseq(0,X0) )
       => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) ),
    inference(negated_conjecture,[status(cth)],[f98]) ).

tff(f111,plain,
    ! [X0: array_elt3,X1: $int,X2: $int] :
      ( ! [X4: $int,X3: $int] :
          ( ( ~ $less(X3,X1)
            & $less(X4,X2)
            & ~ $less(X4,X3) )
         => le4(tb2t11(get2(elt7,t2tb10(X0),X3)),tb2t11(get2(elt7,t2tb10(X0),X4))) )
    <=> sorted_sub4(X0,X1,X2) ),
    inference(theory_normalization,[],[f38]) ).

tff(f113,plain,
    ~ ! [X0: $int,X2: $int,X1: map_int_elt3] :
        ( ( $less(X2,X0)
          & ~ $less(X2,0)
          & ~ $less(X0,0) )
       => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) ),
    inference(theory_normalization,[],[f99]) ).

tff(f142,plain,
    ~ ! [X0: $int,X1: $int,X2: map_int_elt3] :
        ( ( $less(X1,X0)
          & ~ $less(X1,0)
          & ~ $less(X0,0) )
       => sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X2))),X1,$sum(X1,1)) ),
    inference(rectify,[],[f113]) ).

tff(f143,plain,
    ! [X1: $int,X0: array_elt3,X2: $int] :
      ( sorted_sub4(X0,X1,X2)
    <=> ! [X4: $int,X3: $int] :
          ( ( $less(X3,X2)
            & ~ $less(X4,X1)
            & ~ $less(X3,X4) )
         => le4(tb2t11(get2(elt7,t2tb10(X0),X4)),tb2t11(get2(elt7,t2tb10(X0),X3))) ) ),
    inference(rectify,[],[f111]) ).

tff(f148,plain,
    ! [X0: elt6,X1: elt6] :
      ( le4(X1,X0)
      | le4(X0,X1) ),
    inference(rectify,[],[f31]) ).

tff(f150,plain,
    ! [X0: $int,X2: ty,X1: uni] : ( get(X2,int,elts(X2,X1),t2tb(X0)) = get2(X2,X1,X0) ),
    inference(rectify,[],[f24]) ).

tff(f161,plain,
    ! [X1: $int,X0: array_elt3,X2: $int] :
      ( ! [X4: $int,X3: $int] :
          ( ( $less(X3,X2)
            & ~ $less(X4,X1)
            & ~ $less(X3,X4) )
         => le4(tb2t11(get2(elt7,t2tb10(X0),X4)),tb2t11(get2(elt7,t2tb10(X0),X3))) )
     => sorted_sub4(X0,X1,X2) ),
    inference(unused_predicate_definition_removal,[],[f143]) ).

tff(f174,plain,
    ! [X1: $int,X0: array_elt3,X2: $int] :
      ( sorted_sub4(X0,X1,X2)
      | ? [X4: $int,X3: $int] :
          ( ~ le4(tb2t11(get2(elt7,t2tb10(X0),X4)),tb2t11(get2(elt7,t2tb10(X0),X3)))
          & $less(X3,X2)
          & ~ $less(X4,X1)
          & ~ $less(X3,X4) ) ),
    inference(ennf_transformation,[],[f161]) ).

tff(f175,plain,
    ! [X0: array_elt3,X1: $int,X2: $int] :
      ( sorted_sub4(X0,X1,X2)
      | ? [X3: $int,X4: $int] :
          ( $less(X3,X2)
          & ~ le4(tb2t11(get2(elt7,t2tb10(X0),X4)),tb2t11(get2(elt7,t2tb10(X0),X3)))
          & ~ $less(X4,X1)
          & ~ $less(X3,X4) ) ),
    inference(flattening,[],[f174]) ).

tff(f191,plain,
    ? [X0: $int,X1: $int,X2: map_int_elt3] :
      ( ~ sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X2))),X1,$sum(X1,1))
      & $less(X1,X0)
      & ~ $less(X1,0)
      & ~ $less(X0,0) ),
    inference(ennf_transformation,[],[f142]) ).

tff(f192,plain,
    ? [X0: $int,X2: map_int_elt3,X1: $int] :
      ( ~ $less(X1,0)
      & ~ $less(X0,0)
      & $less(X1,X0)
      & ~ sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X2))),X1,$sum(X1,1)) ),
    inference(flattening,[],[f191]) ).

tff(f199,plain,
    ? [X0: $int,X1: map_int_elt3,X2: $int] :
      ( ~ $less(X2,0)
      & ~ $less(X0,0)
      & $less(X2,X0)
      & ~ sorted_sub4(tb2t10(mk_array1(elt7,X0,t2tb12(X1))),X2,$sum(X2,1)) ),
    inference(rectify,[],[f192]) ).

tff(f200,plain,
    ( ~ $less(sK2,0)
    & ~ $less(sK0,0)
    & $less(sK2,sK0)
    & ~ sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f199]) ).

tff(f212,plain,
    ! [X0: $int,X1: ty,X2: uni] : ( get2(X1,X2,X0) = get(X1,int,elts(X1,X2),t2tb(X0)) ),
    inference(rectify,[],[f150]) ).

tff(f225,plain,
    ! [X0: array_elt3,X1: $int,X2: $int] :
      ( sorted_sub4(X0,X1,X2)
      | ( $less(sK6(X0,X1,X2),X2)
        & ~ le4(tb2t11(get2(elt7,t2tb10(X0),sK7(X0,X1,X2))),tb2t11(get2(elt7,t2tb10(X0),sK6(X0,X1,X2))))
        & ~ $less(sK7(X0,X1,X2),X1)
        & ~ $less(sK6(X0,X1,X2),sK7(X0,X1,X2)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2))],[f175]) ).

tff(f226,plain,
    ~ sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),
    inference(cnf_transformation,[],[f200]) ).

tff(f245,plain,
    ! [X0: elt6,X1: elt6] :
      ( le4(X1,X0)
      | le4(X0,X1) ),
    inference(cnf_transformation,[],[f148]) ).

tff(f246,plain,
    ! [X2: uni,X0: $int,X1: ty] : ( get2(X1,X2,X0) = get(X1,int,elts(X1,X2),t2tb(X0)) ),
    inference(cnf_transformation,[],[f212]) ).

tff(f252,plain,
    ! [X0: uni] : ( t2tb10(tb2t10(X0)) = X0 ),
    inference(cnf_transformation,[],[f34]) ).

tff(f270,plain,
    ! [X2: $int,X0: array_elt3,X1: $int] :
      ( ~ $less(sK6(X0,X1,X2),sK7(X0,X1,X2))
      | sorted_sub4(X0,X1,X2) ),
    inference(cnf_transformation,[],[f225]) ).

tff(f271,plain,
    ! [X2: $int,X0: array_elt3,X1: $int] :
      ( ~ $less(sK7(X0,X1,X2),X1)
      | sorted_sub4(X0,X1,X2) ),
    inference(cnf_transformation,[],[f225]) ).

tff(f272,plain,
    ! [X2: $int,X0: array_elt3,X1: $int] :
      ( sorted_sub4(X0,X1,X2)
      | ~ le4(tb2t11(get2(elt7,t2tb10(X0),sK7(X0,X1,X2))),tb2t11(get2(elt7,t2tb10(X0),sK6(X0,X1,X2)))) ),
    inference(cnf_transformation,[],[f225]) ).

tff(f273,plain,
    ! [X2: $int,X0: array_elt3,X1: $int] :
      ( $less(sK6(X0,X1,X2),X2)
      | sorted_sub4(X0,X1,X2) ),
    inference(cnf_transformation,[],[f225]) ).

tff(f275,plain,
    ! [X2: $int,X0: array_elt3,X1: $int] :
      ( ~ le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(X0)),t2tb(sK7(X0,X1,X2)))),tb2t11(get(elt7,int,elts(elt7,t2tb10(X0)),t2tb(sK6(X0,X1,X2)))))
      | sorted_sub4(X0,X1,X2) ),
    inference(definition_unfolding,[],[f272,f246,f246]) ).

tff(f285,definition,
    ( spl8_2
  <=> sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)) ),
    introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).

tff(f287,plain,
    ( ~ sorted_sub4(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))
    | spl8_2 ),
    inference(avatar_component_clause,[],[f285]) ).

tff(f288,plain,
    ~ spl8_2,
    inference(avatar_split_clause,[],[f226,f285]) ).

tff(f321,plain,
    ( ~ $less(sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2)
    | spl8_2 ),
    inference(unit_resulting_resolution,[],[f271,f287]) ).

tff(f322,plain,
    ( $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),$sum(sK2,1))
    | spl8_2 ),
    inference(unit_resulting_resolution,[],[f273,f287]) ).

tff(f323,plain,
    ( ~ $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))
    | spl8_2 ),
    inference(unit_resulting_resolution,[],[f270,f287]) ).

tff(f324,plain,
    ( ~ le4(tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,t2tb10(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))
    | spl8_2 ),
    inference(unit_resulting_resolution,[],[f275,f287]) ).

tff(f326,definition,
    ( spl8_7
  <=> $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))) ),
    introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).

tff(f329,plain,
    ( ~ spl8_7
    | spl8_2 ),
    inference(avatar_split_clause,[],[f323,f285,f326]) ).

tff(f330,plain,
    ( ~ le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))
    | spl8_2 ),
    inference(forward_demodulation,[],[f324,f252]) ).

tff(f332,definition,
    ( spl8_8
  <=> $less(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),$sum(sK2,1)) ),
    introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).

tff(f335,plain,
    ( spl8_8
    | spl8_2 ),
    inference(avatar_split_clause,[],[f322,f285,f332]) ).

tff(f337,definition,
    ( spl8_9
  <=> $less(sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)),sK2) ),
    introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).

tff(f340,plain,
    ( ~ spl8_9
    | spl8_2 ),
    inference(avatar_split_clause,[],[f321,f285,f337]) ).

tff(f342,definition,
    ( spl8_10
  <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) ),
    introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).

tff(f344,plain,
    ( ~ le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))
    | spl8_10 ),
    inference(avatar_component_clause,[],[f342]) ).

tff(f345,plain,
    ( ~ spl8_10
    | spl8_2 ),
    inference(avatar_split_clause,[],[f330,f285,f342]) ).

tff(f714,plain,
    ( le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))))
    | spl8_10 ),
    inference(unit_resulting_resolution,[],[f245,f344]) ).

tff(f722,definition,
    ( spl8_41
  <=> le4(tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK6(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1))))),tb2t11(get(elt7,int,elts(elt7,mk_array1(elt7,sK0,t2tb12(sK1))),t2tb(sK7(tb2t10(mk_array1(elt7,sK0,t2tb12(sK1))),sK2,$sum(sK2,1)))))) ),
    introduced(definition,[new_symbols(definition,[spl8_41])],[avatar_definition]) ).

tff(f725,plain,
    ( spl8_41
    | spl8_10 ),
    inference(avatar_split_clause,[],[f714,f342,f722]) ).

tff(f732,plain,
    $false,
    inference(avatar_smt_refutation,[],[f725,f345,f340,f335,f329,f288]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW620_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n004.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 14:22:52 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  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
% 5.38/1.66  % (380738)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.38/1.66  % (380869)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=474582266:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 5.38/1.66  % (380863)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=377628914:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 5.38/1.66  % (380869)Instruction limit reached! 
% 5.38/1.66  % (380869)------------------------------
% 5.38/1.66  % (380869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.66  % (380869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.66  % (380869)CaDiCaL version: 2.1.3
% 5.38/1.66  % (380869)Termination reason: Instruction limit
% 5.38/1.66  % (380869)Termination phase: Saturation
% 5.38/1.66  % (380869)Time elapsed: 0.048 s
% 5.38/1.66  % (380869)Peak memory usage: 116 MB
% 5.38/1.66  % (380869)Instructions burned: 46 (million)
% 5.38/1.66  % (380868)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=851490652:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 5.38/1.66  % (380864)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1042807707:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 5.38/1.66  % (380866)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2564251389:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 5.38/1.66  % (380867)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1267323564:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 5.38/1.66  % (380871)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=4184630292:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 5.38/1.66  % (380863)Instruction limit reached! 
% 5.38/1.66  % (380863)------------------------------
% 5.38/1.66  % (380863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.66  % (380863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.66  % (380863)CaDiCaL version: 2.1.3
% 5.38/1.66  % (380863)Termination reason: Instruction limit
% 5.38/1.66  % (380863)Termination phase: Saturation
% 5.38/1.66  % (380863)Time elapsed: 0.042 s
% 5.38/1.66  % (380863)Peak memory usage: 112 MB
% 5.38/1.66  % (380863)Instructions burned: 12 (million)
% 5.38/1.66  % (380868)Instruction limit reached! 
% 5.38/1.66  % (380868)------------------------------
% 5.38/1.66  % (380868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.66  % (380868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.66  % (380868)CaDiCaL version: 2.1.3
% 5.38/1.66  % (380868)Termination reason: Instruction limit
% 5.38/1.66  % (380868)Termination phase: Preprocessing 3
% 5.38/1.66  % (380868)Time elapsed: 0.005 s
% 5.38/1.66  % (380868)Peak memory usage: 86 MB
% 5.38/1.66  % (380868)Instructions burned: 4 (million)
% 5.38/1.66  % (380867)Instruction limit reached! 
% 5.38/1.66  % (380867)------------------------------
% 5.38/1.66  % (380867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.66  % (380867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.66  % (380867)CaDiCaL version: 2.1.3
% 5.38/1.66  % (380867)Termination reason: Instruction limit
% 5.38/1.66  % (380867)Termination phase: Property scanning
% 5.38/1.66  % (380867)Time elapsed: 0.009 s
% 5.38/1.66  % (380867)Peak memory usage: 87 MB
% 5.38/1.66  % (380867)Instructions burned: 9 (million)
% 5.38/1.66  % (380871)Instruction limit reached! 
% 5.38/1.66  % (380871)------------------------------
% 5.38/1.66  % (380871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.38/1.66  % (380871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.38/1.66  % (380871)CaDiCaL version: 2.1.3
% 5.38/1.66  % (380871)Termination reason: Instruction limit
% 5.38/1.66  % (380871)Termination phase: Saturation
% 5.38/1.66  % (380871)Time elapsed: 0.067 s
% 5.38/1.66  % (380871)Peak memory usage: 116 MB
% 5.38/1.66  % (380871)Instructions burned: 33 (million)
% 5.38/1.66  % (380878)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1001759833:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 5.38/1.66  % (380878)Instruction limit reached! 
% 5.38/1.66  % (380878)------------------------------
% 5.38/1.66  % (380878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.78  % (380878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.78  % (380878)CaDiCaL version: 2.1.3
% 6.82/1.78  % (380878)Termination reason: Instruction limit
% 6.82/1.78  % (380878)Termination phase: Saturation
% 6.82/1.78  % (380878)Time elapsed: 0.009 s
% 6.82/1.78  % (380878)Peak memory usage: 89 MB
% 6.82/1.78  % (380878)Instructions burned: 15 (million)
% 6.82/1.78  % (380866)Instruction limit reached! 
% 6.82/1.78  % (380866)------------------------------
% 6.82/1.78  % (380866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.78  % (380866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.78  % (380866)CaDiCaL version: 2.1.3
% 6.82/1.78  % (380866)Termination reason: Instruction limit
% 6.82/1.78  % (380866)Termination phase: Saturation
% 6.82/1.78  % (380866)Time elapsed: 0.256 s
% 6.82/1.78  % (380866)Peak memory usage: 118 MB
% 6.82/1.78  % (380866)Instructions burned: 202 (million)
% 6.82/1.78  % (380886)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1928703572:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 6.82/1.78  % (380885)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1012598242:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 6.82/1.78  % (380884)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=3007931743:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.82/1.78  % (380886)Instruction limit reached! 
% 6.82/1.78  % (380886)------------------------------
% 6.82/1.78  % (380886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.78  % (380886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.78  % (380886)CaDiCaL version: 2.1.3
% 6.82/1.78  % (380886)Termination reason: Instruction limit
% 6.82/1.78  % (380886)Termination phase: Saturation
% 6.82/1.78  % (380886)Time elapsed: 0.017 s
% 6.82/1.78  % (380886)Peak memory usage: 89 MB
% 6.82/1.78  % (380886)Instructions burned: 24 (million)
% 6.82/1.78  % (380885)Instruction limit reached! 
% 6.82/1.78  % (380885)------------------------------
% 6.82/1.78  % (380885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.78  % (380885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.78  % (380885)CaDiCaL version: 2.1.3
% 6.82/1.78  % (380885)Termination reason: Instruction limit
% 6.82/1.78  % (380885)Termination phase: Saturation
% 6.82/1.78  % (380885)Time elapsed: 0.017 s
% 6.82/1.78  % (380885)Peak memory usage: 89 MB
% 6.82/1.78  % (380885)Instructions burned: 16 (million)
% 6.82/1.78  % (380884)Instruction limit reached! 
% 6.82/1.78  % (380884)------------------------------
% 6.82/1.78  % (380884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.78  % (380884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.78  % (380884)CaDiCaL version: 2.1.3
% 6.82/1.78  % (380884)Termination reason: Instruction limit
% 6.82/1.78  % (380884)Termination phase: Saturation
% 6.82/1.78  % (380884)Time elapsed: 0.035 s
% 6.82/1.78  % (380884)Peak memory usage: 89 MB
% 6.82/1.78  % (380884)Instructions burned: 29 (million)
% 6.82/1.78  % (380887)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=2507799974:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 6.82/1.78  % (380864)Instruction limit reached! 
% 6.82/1.78  % (380864)------------------------------
% 6.82/1.78  % (380864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.78  % (380864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.78  % (380864)CaDiCaL version: 2.1.3
% 6.82/1.78  % (380864)Termination reason: Instruction limit
% 6.82/1.78  % (380864)Termination phase: Saturation
% 6.82/1.78  % (380864)Time elapsed: 0.360 s
% 6.82/1.78  % (380864)Peak memory usage: 117 MB
% 6.82/1.78  % (380864)Instructions burned: 307 (million)
% 6.82/1.78  % (380887)Instruction limit reached! 
% 6.82/1.78  % (380887)------------------------------
% 6.82/1.78  % (380887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.78  % (380887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.78  % (380887)CaDiCaL version: 2.1.3
% 6.82/1.78  % (380887)Termination reason: Instruction limit
% 6.82/1.78  % (380887)Termination phase: Saturation
% 7.89/1.98  % (380887)Time elapsed: 0.030 s
% 7.89/1.98  % (380887)Peak memory usage: 90 MB
% 7.89/1.98  % (380887)Instructions burned: 28 (million)
% 7.89/1.98  % (380890)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=880888579:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 7.89/1.98  % (380890)Instruction limit reached! 
% 7.89/1.98  % (380890)------------------------------
% 7.89/1.98  % (380890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/1.98  % (380890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.98  % (380890)CaDiCaL version: 2.1.3
% 7.89/1.98  % (380890)Termination reason: Instruction limit
% 7.89/1.98  % (380890)Termination phase: Saturation
% 7.89/1.98  % (380890)Time elapsed: 0.048 s
% 7.89/1.98  % (380890)Peak memory usage: 89 MB
% 7.89/1.98  % (380890)Instructions burned: 86 (million)
% 7.89/1.98  % (380901)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=1204121798:i=181:rtra=on:ss=axioms:ev=cautious_2994 on theBenchmark for (2994ds/181Mi)
% 7.89/1.98  % (380899)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3080874231:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2994 on theBenchmark for (2994ds/2Mi)
% 7.89/1.98  % (380899)Instruction limit reached! 
% 7.89/1.98  % (380899)------------------------------
% 7.89/1.98  % (380899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/1.98  % (380899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.98  % (380899)CaDiCaL version: 2.1.3
% 7.89/1.98  % (380899)Termination reason: Instruction limit
% 7.89/1.98  % (380899)Termination phase: Preprocessing 1
% 7.89/1.98  % (380899)Time elapsed: 0.003 s
% 7.89/1.98  % (380899)Peak memory usage: 85 MB
% 7.89/1.98  % (380899)Instructions burned: 3 (million)
% 7.89/1.98  % (380904)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=217959362:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 7.89/1.98  % (380904)Instruction limit reached! 
% 7.89/1.98  % (380904)------------------------------
% 7.89/1.98  % (380904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/1.98  % (380904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.98  % (380904)CaDiCaL version: 2.1.3
% 7.89/1.98  % (380904)Termination reason: Instruction limit
% 7.89/1.98  % (380904)Termination phase: Preprocessing 3
% 7.89/1.98  % (380904)Time elapsed: 0.005 s
% 7.89/1.98  % (380904)Peak memory usage: 86 MB
% 7.89/1.98  % (380904)Instructions burned: 4 (million)
% 7.89/1.98  % (380905)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1022413944:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 7.89/1.98  % (380908)lrs+10_1_thi=all:si=on:fd=off:random_seed=824014996:i=53:rtra=on:gtg=all_2993 on theBenchmark for (2993ds/53Mi)
% 7.89/1.98  % (380909)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=876892297:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 7.89/1.98  % (380909)Instruction limit reached! 
% 7.89/1.98  % (380909)------------------------------
% 7.89/1.98  % (380909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/1.98  % (380909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.98  % (380909)CaDiCaL version: 2.1.3
% 7.89/1.98  % (380909)Termination reason: Instruction limit
% 7.89/1.98  % (380909)Termination phase: Property scanning
% 7.89/1.98  % (380909)Time elapsed: 0.009 s
% 7.89/1.98  % (380909)Peak memory usage: 86 MB
% 7.89/1.98  % (380909)Instructions burned: 8 (million)
% 7.89/1.98  % (380908)Instruction limit reached! 
% 7.89/1.98  % (380908)------------------------------
% 7.89/1.98  % (380908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.89/1.98  % (380908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.89/1.98  % (380908)CaDiCaL version: 2.1.3
% 7.89/1.98  % (380908)Termination reason: Instruction limit
% 7.89/1.98  % (380908)Termination phase: Saturation
% 7.89/1.98  % (380908)Time elapsed: 0.051 s
% 7.89/1.98  % (380908)Peak memory usage: 116 MB
% 7.89/1.98  % (380908)Instructions burned: 54 (million)
% 7.89/1.98  % (380911)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3326058376:st=3:i=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/2Mi)
% 7.89/1.98  % (380911)Instruction limit reached! 
% 7.89/1.98  % (380911)------------------------------
% 10.24/2.32  % (380911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380911)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380911)Termination reason: Instruction limit
% 10.24/2.32  % (380911)Termination phase: Preprocessing 1
% 10.24/2.32  % (380911)Time elapsed: 0.001 s
% 10.24/2.32  % (380911)Peak memory usage: 85 MB
% 10.24/2.32  % (380911)Instructions burned: 2 (million)
% 10.24/2.32  % (380901)Instruction limit reached! 
% 10.24/2.32  % (380901)------------------------------
% 10.24/2.32  % (380901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380901)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380901)Termination reason: Instruction limit
% 10.24/2.32  % (380901)Termination phase: Saturation
% 10.24/2.32  % (380901)Time elapsed: 0.177 s
% 10.24/2.32  % (380901)Peak memory usage: 90 MB
% 10.24/2.32  % (380901)Instructions burned: 182 (million)
% 10.24/2.32  % (380905)Instruction limit reached! 
% 10.24/2.32  % (380905)------------------------------
% 10.24/2.32  % (380905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380905)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380905)Termination reason: Instruction limit
% 10.24/2.32  % (380905)Termination phase: Saturation
% 10.24/2.32  % (380905)Time elapsed: 0.121 s
% 10.24/2.32  % (380905)Peak memory usage: 134 MB
% 10.24/2.32  % (380905)Instructions burned: 67 (million)
% 10.24/2.32  % (380918)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=41064792:i=127:doe=on:rtra=on_2991 on theBenchmark for (2991ds/127Mi)
% 10.24/2.32  % (380915)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1204785439:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 10.24/2.32  % (380915)Instruction limit reached! 
% 10.24/2.32  % (380915)------------------------------
% 10.24/2.32  % (380915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380915)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380915)Termination reason: Instruction limit
% 10.24/2.32  % (380915)Termination phase: Preprocessing 1
% 10.24/2.32  % (380915)Time elapsed: 0.003 s
% 10.24/2.32  % (380915)Peak memory usage: 85 MB
% 10.24/2.32  % (380915)Instructions burned: 2 (million)
% 10.24/2.32  % (380931)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3135829076:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2990 on theBenchmark for (2990ds/35Mi)
% 10.24/2.32  % (380926)dis+10_1_si=on:random_seed=1351505057:i=10:ep=R:rtra=on_2991 on theBenchmark for (2991ds/10Mi)
% 10.24/2.32  % (380927)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=211941009:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 10.24/2.32  % (380926)Instruction limit reached! 
% 10.24/2.32  % (380926)------------------------------
% 10.24/2.32  % (380926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380926)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380926)Termination reason: Instruction limit
% 10.24/2.32  % (380926)Termination phase: Saturation
% 10.24/2.32  % (380926)Time elapsed: 0.007 s
% 10.24/2.32  % (380926)Peak memory usage: 88 MB
% 10.24/2.32  % (380926)Instructions burned: 12 (million)
% 10.24/2.32  % (380927)Refutation not found, incomplete strategy
% 10.24/2.32  % (380927)------------------------------
% 10.24/2.32  % (380927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380927)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380927)Termination reason: Refutation not found, incomplete strategy
% 10.24/2.32  % (380927)Time elapsed: 0.010 s
% 10.24/2.32  % (380927)Peak memory usage: 89 MB
% 10.24/2.32  % (380927)Instructions burned: 15 (million)
% 10.24/2.32  % (380931)Instruction limit reached! 
% 10.24/2.32  % (380931)------------------------------
% 10.24/2.32  % (380931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380931)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380931)Termination reason: Instruction limit
% 10.24/2.32  % (380931)Termination phase: Saturation
% 10.24/2.32  % (380931)Time elapsed: 0.013 s
% 10.24/2.32  % (380931)Peak memory usage: 89 MB
% 10.24/2.32  % (380931)Instructions burned: 37 (million)
% 10.24/2.32  % (380933)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1519150474:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 10.24/2.32  % (380933)Instruction limit reached! 
% 10.24/2.32  % (380933)------------------------------
% 10.24/2.32  % (380933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380933)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380933)Termination reason: Instruction limit
% 10.24/2.32  % (380933)Termination phase: Preprocessing 1
% 10.24/2.32  % (380933)Time elapsed: 0.002 s
% 10.24/2.32  % (380933)Peak memory usage: 85 MB
% 10.24/2.32  % (380933)Instructions burned: 3 (million)
% 10.24/2.32  % (380918)Instruction limit reached! 
% 10.24/2.32  % (380918)------------------------------
% 10.24/2.32  % (380918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380918)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380918)Termination reason: Instruction limit
% 10.24/2.32  % (380918)Termination phase: Saturation
% 10.24/2.32  % (380918)Time elapsed: 0.119 s
% 10.24/2.32  % (380918)Peak memory usage: 118 MB
% 10.24/2.32  % (380918)Instructions burned: 127 (million)
% 10.24/2.32  % (380934)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2120203176:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 10.24/2.32  % (380934)Instruction limit reached! 
% 10.24/2.32  % (380934)------------------------------
% 10.24/2.32  % (380934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380934)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380934)Termination reason: Instruction limit
% 10.24/2.32  % (380934)Termination phase: Saturation
% 10.24/2.32  % (380934)Time elapsed: 0.005 s
% 10.24/2.32  % (380934)Peak memory usage: 87 MB
% 10.24/2.32  % (380934)Instructions burned: 8 (million)
% 10.24/2.32  % (380937)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3742278103:i=370:ep=RS:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/370Mi)
% 10.24/2.32  % (380942)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=410745622:i=226:rtra=on:gtg=position:ss=axioms_2989 on theBenchmark for (2989ds/226Mi)
% 10.24/2.32  % (380941)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3198388422:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 10.24/2.32  % (380942)First to succeed.
% 10.24/2.32  % (380942)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-380738"
% 10.24/2.32  % (380941)Instruction limit reached! 
% 10.24/2.32  % (380941)------------------------------
% 10.24/2.32  % (380941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380941)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380941)Termination reason: Instruction limit
% 10.24/2.32  % (380941)Termination phase: Saturation
% 10.24/2.32  % (380941)Time elapsed: 0.017 s
% 10.24/2.32  % (380941)Peak memory usage: 97 MB
% 10.24/2.32  % (380941)Instructions burned: 13 (million)
% 10.24/2.32  % (380951)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=3007632064:i=10:rtra=on_2989 on theBenchmark for (2989ds/10Mi)
% 10.24/2.32  % (380951)Instruction limit reached! 
% 10.24/2.32  % (380951)------------------------------
% 10.24/2.32  % (380951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380951)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380951)Termination reason: Instruction limit
% 10.24/2.32  % (380951)Termination phase: Saturation
% 10.24/2.32  % (380951)Time elapsed: 0.008 s
% 10.24/2.32  % (380951)Peak memory usage: 88 MB
% 10.24/2.32  % (380951)Instructions burned: 11 (million)
% 10.24/2.32  % (380963)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2929200498:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 10.24/2.32  % (380965)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=3613105809:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2988 on theBenchmark for (2988ds/75Mi)
% 10.24/2.32  % (380927)------------------------------
% 10.24/2.32  % (380927)------------------------------
% 10.24/2.32  % (380965)Instruction limit reached! 
% 10.24/2.32  % (380965)------------------------------
% 10.24/2.32  % (380965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380965)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380965)Termination reason: Instruction limit
% 10.24/2.32  % (380965)Termination phase: Saturation
% 10.24/2.32  % (380965)Time elapsed: 0.055 s
% 10.24/2.32  % (380965)Peak memory usage: 91 MB
% 10.24/2.32  % (380965)Instructions burned: 75 (million)
% 10.24/2.32  % (380963)Refutation not found, SMT solver inside AVATAR returned Unknown
% 10.24/2.32  % (380963)------------------------------
% 10.24/2.32  % (380963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.32  % (380963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.32  % (380963)CaDiCaL version: 2.1.3
% 10.24/2.32  % (380963)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 10.24/2.32  % (380963)Time elapsed: 0.100 s
% 10.24/2.32  % (380963)Peak memory usage: 134 MB
% 10.24/2.32  % (380963)Instructions burned: 71 (million)
% 10.24/2.32  % (380963)------------------------------
% 10.24/2.32  % (380963)------------------------------
% 10.24/2.32  % (380942)Refutation found. Thanks to Tanya!
% 10.24/2.32  % SZS status Theorem for theBenchmark
% 10.24/2.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/2.51  % (380942)------------------------------
% 0.20/2.51  % (380942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/2.51  % (380942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/2.51  % (380942)CaDiCaL version: 2.1.3
% 0.20/2.51  % (380942)Termination reason: Refutation
% 0.20/2.51  % (380942)Time elapsed: 0.041 s
% 0.20/2.51  % (380942)Peak memory usage: 118 MB
% 0.20/2.51  % (380942)Instructions burned: 64 (million)
% 0.20/2.51  % (380942)------------------------------
% 0.20/2.51  % (380942)------------------------------
% 0.20/2.51  % (380738)Success in time 1.578 s
% 0.20/2.51  % Vampire exiting
%------------------------------------------------------------------------------