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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW614_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 : n007.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 01:30:57 PM UTC 2026

% Result   : Theorem 11.18s 2.29s
% Output   : Refutation 12.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  116 (  28 unt;   0 typ;  17 def)
%            Number of atoms       :  479 (  80 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  499 ( 136   ~; 182   |; 122   &)
%                                         (  22 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number arithmetic     :  918 ( 258 atm; 325 fun; 218 num; 117 var)
%            Number of types       :    8 (   6 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  19 usr;  18 prp; 0-4 aty)
%            Number of functors    :   40 (  37 usr;  16 con; 0-5 aty)
%            Number of variables   :  173 ( 152   !;  21   ?; 173   :)

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

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

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

tff(type_def_8,type,
    tuple0: $tType ).

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

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

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

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool1: ty ).

tff(func_def_4,type,
    true: bool ).

tff(func_def_5,type,
    false: bool ).

tff(func_def_6,type,
    match_bool: ( ty * bool * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple01: ty ).

tff(func_def_8,type,
    tuple02: tuple0 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    ref: ty > ty ).

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

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

tff(func_def_15,type,
    map: ( ty * ty ) > ty ).

tff(func_def_16,type,
    get: ( ty * ty * uni * uni ) > uni ).

tff(func_def_17,type,
    set: ( ty * ty * uni * uni * uni ) > uni ).

tff(func_def_18,type,
    const: ( ty * ty * uni ) > uni ).

tff(func_def_19,type,
    array: ty > ty ).

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

tff(func_def_21,type,
    length: ( ty * uni ) > $int ).

tff(func_def_22,type,
    elts: ( ty * uni ) > uni ).

tff(func_def_23,type,
    get1: ( ty * uni * $int ) > uni ).

tff(func_def_24,type,
    t2tb: $int > uni ).

tff(func_def_25,type,
    tb2t: uni > $int ).

tff(func_def_26,type,
    set1: ( ty * uni * $int * uni ) > uni ).

tff(func_def_27,type,
    make: ( ty * $int * uni ) > uni ).

tff(func_def_28,type,
    t2tb1: array_int > uni ).

tff(func_def_29,type,
    tb2t1: uni > array_int ).

tff(func_def_31,type,
    t2tb2: map_int_int > uni ).

tff(func_def_32,type,
    tb2t2: uni > map_int_int ).

tff(func_def_35,type,
    sK0: $int ).

tff(func_def_36,type,
    sK1: $int ).

tff(func_def_37,type,
    sK2: $int ).

tff(func_def_38,type,
    sK3: map_int_int ).

tff(func_def_39,type,
    sK4: $int ).

tff(func_def_40,type,
    sK5: $int ).

tff(func_def_41,type,
    sK6: ( array_int * $int * $int * $int ) > $int ).

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

tff(pred_def_3,type,
    eqseq: ( array_int * $int * $int * $int ) > $o ).

tff(f20,axiom,
    ! [X1: $int,X2: uni,X0: ty] : ( length(X0,mk_array(X0,X1,X2)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def) ).

tff(f22,axiom,
    ! [X2: uni,X1: $int,X0: ty] :
      ( sort(map(int,X0),X2)
     => ( elts(X0,mk_array(X0,X1,X2)) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',elts_def) ).

tff(f27,axiom,
    ! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR) ).

tff(f28,axiom,
    ! [X0: ty,X2: $int,X1: uni] : ( get1(X0,X1,X2) = get(X0,int,elts(X0,X1),t2tb(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def) ).

tff(f35,axiom,
    ! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1) ).

tff(f36,axiom,
    ! [X3: $int,X2: $int,X1: $int,X0: array_int] :
      ( ( ! [X4: $int] :
            ( ( $lesseq(0,X4)
              & $less(X4,X3) )
           => ( tb2t(get1(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get1(int,t2tb1(X0),$sum(X2,X4))) ) )
        & $lesseq($sum(X2,X3),length(int,t2tb1(X0)))
        & $lesseq($sum(X1,X3),length(int,t2tb1(X0)))
        & $lesseq(0,X3) )
    <=> eqseq(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqseq_def) ).

tff(f38,axiom,
    ! [X0: map_int_int] : sort(map(int,int),t2tb2(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2) ).

tff(f41,conjecture,
    ! [X1: map_int_int,X2: $int,X0: $int,X3: $int] :
      ( ( $lesseq(0,X3)
        & $lesseq(0,X2)
        & $less(X3,X0)
        & $lesseq(0,X0)
        & $less(X2,X0) )
     => ! [X4: $int] :
          ( eqseq(tb2t1(mk_array(int,X0,t2tb2(X1))),X2,X3,X4)
         => ( $less($sum(X2,X4),X0)
           => ( $less($sum(X3,X4),X0)
             => ( ( $less($sum(X3,X4),X0)
                  & $lesseq(0,$sum(X3,X4)) )
               => ( ( $less($sum(X2,X4),X0)
                    & $lesseq(0,$sum(X2,X4)) )
                 => ( ( tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,X4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,X4)))) )
                   => ! [X5: $int] :
                        ( ( X5 = $sum(X4,1) )
                       => eqseq(tb2t1(mk_array(int,X0,t2tb2(X1))),X2,X3,X5) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_lcp) ).

tff(f42,negated_conjecture,
    ~ ! [X1: map_int_int,X2: $int,X0: $int,X3: $int] :
        ( ( $lesseq(0,X3)
          & $lesseq(0,X2)
          & $less(X3,X0)
          & $lesseq(0,X0)
          & $less(X2,X0) )
       => ! [X4: $int] :
            ( eqseq(tb2t1(mk_array(int,X0,t2tb2(X1))),X2,X3,X4)
           => ( $less($sum(X2,X4),X0)
             => ( $less($sum(X3,X4),X0)
               => ( ( $less($sum(X3,X4),X0)
                    & $lesseq(0,$sum(X3,X4)) )
                 => ( ( $less($sum(X2,X4),X0)
                      & $lesseq(0,$sum(X2,X4)) )
                   => ( ( tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,X4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,X4)))) )
                     => ! [X5: $int] :
                          ( ( X5 = $sum(X4,1) )
                         => eqseq(tb2t1(mk_array(int,X0,t2tb2(X1))),X2,X3,X5) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f41]) ).

tff(f45,plain,
    ~ ! [X1: map_int_int,X2: $int,X0: $int,X3: $int] :
        ( ( ~ $less(X3,0)
          & ~ $less(X2,0)
          & $less(X3,X0)
          & ~ $less(X0,0)
          & $less(X2,X0) )
       => ! [X4: $int] :
            ( eqseq(tb2t1(mk_array(int,X0,t2tb2(X1))),X2,X3,X4)
           => ( $less($sum(X2,X4),X0)
             => ( $less($sum(X3,X4),X0)
               => ( ( $less($sum(X3,X4),X0)
                    & ~ $less($sum(X3,X4),0) )
                 => ( ( $less($sum(X2,X4),X0)
                      & ~ $less($sum(X2,X4),0) )
                   => ( ( tb2t(get(int,int,t2tb2(X1),t2tb($sum(X2,X4)))) = tb2t(get(int,int,t2tb2(X1),t2tb($sum(X3,X4)))) )
                     => ! [X5: $int] :
                          ( ( X5 = $sum(X4,1) )
                         => eqseq(tb2t1(mk_array(int,X0,t2tb2(X1))),X2,X3,X5) ) ) ) ) ) ) ) ),
    inference(theory_normalization,[],[f42]) ).

tff(f46,plain,
    ! [X3: $int,X2: $int,X1: $int,X0: array_int] :
      ( ( ! [X4: $int] :
            ( ( ~ $less(X4,0)
              & $less(X4,X3) )
           => ( tb2t(get1(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get1(int,t2tb1(X0),$sum(X2,X4))) ) )
        & ~ $less(length(int,t2tb1(X0)),$sum(X2,X3))
        & ~ $less(length(int,t2tb1(X0)),$sum(X1,X3))
        & ~ $less(X3,0) )
    <=> eqseq(X0,X1,X2,X3) ),
    inference(theory_normalization,[],[f36]) ).

tff(f54,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    introduced(definition,[],[tha_order_totality]) ).

tff(f65,plain,
    ~ ! [X2: $int,X0: map_int_int,X1: $int,X3: $int] :
        ( ( ~ $less(X1,0)
          & ~ $less(X2,0)
          & $less(X1,X2)
          & ~ $less(X3,0)
          & $less(X3,X2) )
       => ! [X4: $int] :
            ( eqseq(tb2t1(mk_array(int,X2,t2tb2(X0))),X1,X3,X4)
           => ( $less($sum(X1,X4),X2)
             => ( $less($sum(X3,X4),X2)
               => ( ( $less($sum(X3,X4),X2)
                    & ~ $less($sum(X3,X4),0) )
                 => ( ( ~ $less($sum(X1,X4),0)
                      & $less($sum(X1,X4),X2) )
                   => ( ( tb2t(get(int,int,t2tb2(X0),t2tb($sum(X1,X4)))) = tb2t(get(int,int,t2tb2(X0),t2tb($sum(X3,X4)))) )
                     => ! [X5: $int] :
                          ( ( X5 = $sum(X4,1) )
                         => eqseq(tb2t1(mk_array(int,X2,t2tb2(X0))),X1,X3,X5) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f45]) ).

tff(f66,plain,
    ! [X0: $int,X2: $int,X1: $int,X3: array_int] :
      ( ( ~ $less(X0,0)
        & ~ $less(length(int,t2tb1(X3)),$sum(X1,X0))
        & ! [X4: $int] :
            ( ( ~ $less(X4,0)
              & $less(X4,X0) )
           => ( tb2t(get1(int,t2tb1(X3),$sum(X1,X4))) = tb2t(get1(int,t2tb1(X3),$sum(X2,X4))) ) )
        & ~ $less(length(int,t2tb1(X3)),$sum(X2,X0)) )
    <=> eqseq(X3,X2,X1,X0) ),
    inference(rectify,[],[f46]) ).

tff(f70,plain,
    ! [X1: uni,X0: $int,X2: ty] : ( length(X2,mk_array(X2,X0,X1)) = X0 ),
    inference(rectify,[],[f20]) ).

tff(f72,plain,
    ! [X1: $int,X0: ty,X2: uni] : ( get(X0,int,elts(X0,X2),t2tb(X1)) = get1(X0,X2,X1) ),
    inference(rectify,[],[f28]) ).

tff(f73,plain,
    ! [X2: ty,X0: uni,X1: $int] :
      ( sort(map(int,X2),X0)
     => ( elts(X2,mk_array(X2,X1,X0)) = X0 ) ),
    inference(rectify,[],[f22]) ).

tff(f75,plain,
    ! [X0: uni,X2: ty,X1: $int] :
      ( ~ sort(map(int,X2),X0)
      | ( elts(X2,mk_array(X2,X1,X0)) = X0 ) ),
    inference(ennf_transformation,[],[f73]) ).

tff(f78,plain,
    ? [X2: $int,X0: map_int_int,X1: $int,X3: $int] :
      ( ? [X4: $int] :
          ( ? [X5: $int] :
              ( ~ eqseq(tb2t1(mk_array(int,X2,t2tb2(X0))),X1,X3,X5)
              & ( X5 = $sum(X4,1) ) )
          & ( tb2t(get(int,int,t2tb2(X0),t2tb($sum(X1,X4)))) = tb2t(get(int,int,t2tb2(X0),t2tb($sum(X3,X4)))) )
          & ~ $less($sum(X1,X4),0)
          & $less($sum(X1,X4),X2)
          & $less($sum(X3,X4),X2)
          & ~ $less($sum(X3,X4),0)
          & $less($sum(X3,X4),X2)
          & $less($sum(X1,X4),X2)
          & eqseq(tb2t1(mk_array(int,X2,t2tb2(X0))),X1,X3,X4) )
      & ~ $less(X1,0)
      & ~ $less(X2,0)
      & $less(X1,X2)
      & ~ $less(X3,0)
      & $less(X3,X2) ),
    inference(ennf_transformation,[],[f65]) ).

tff(f79,plain,
    ? [X2: $int,X1: $int,X3: $int,X0: map_int_int] :
      ( $less(X1,X2)
      & ~ $less(X1,0)
      & $less(X3,X2)
      & ~ $less(X3,0)
      & ~ $less(X2,0)
      & ? [X4: $int] :
          ( ~ $less($sum(X3,X4),0)
          & ? [X5: $int] :
              ( ~ eqseq(tb2t1(mk_array(int,X2,t2tb2(X0))),X1,X3,X5)
              & ( X5 = $sum(X4,1) ) )
          & $less($sum(X1,X4),X2)
          & eqseq(tb2t1(mk_array(int,X2,t2tb2(X0))),X1,X3,X4)
          & $less($sum(X3,X4),X2)
          & $less($sum(X1,X4),X2)
          & ~ $less($sum(X1,X4),0)
          & $less($sum(X3,X4),X2)
          & ( tb2t(get(int,int,t2tb2(X0),t2tb($sum(X1,X4)))) = tb2t(get(int,int,t2tb2(X0),t2tb($sum(X3,X4)))) ) ) ),
    inference(flattening,[],[f78]) ).

tff(f80,plain,
    ! [X0: $int,X2: $int,X1: $int,X3: array_int] :
      ( ( ~ $less(X0,0)
        & ~ $less(length(int,t2tb1(X3)),$sum(X1,X0))
        & ! [X4: $int] :
            ( ( tb2t(get1(int,t2tb1(X3),$sum(X1,X4))) = tb2t(get1(int,t2tb1(X3),$sum(X2,X4))) )
            | $less(X4,0)
            | ~ $less(X4,X0) )
        & ~ $less(length(int,t2tb1(X3)),$sum(X2,X0)) )
    <=> eqseq(X3,X2,X1,X0) ),
    inference(ennf_transformation,[],[f66]) ).

tff(f81,plain,
    ! [X3: array_int,X0: $int,X2: $int,X1: $int] :
      ( eqseq(X3,X2,X1,X0)
    <=> ( ~ $less(length(int,t2tb1(X3)),$sum(X2,X0))
        & ~ $less(X0,0)
        & ! [X4: $int] :
            ( $less(X4,0)
            | ~ $less(X4,X0)
            | ( tb2t(get1(int,t2tb1(X3),$sum(X1,X4))) = tb2t(get1(int,t2tb1(X3),$sum(X2,X4))) ) )
        & ~ $less(length(int,t2tb1(X3)),$sum(X1,X0)) ) ),
    inference(flattening,[],[f80]) ).

tff(f82,plain,
    ! [X0: $int,X1: ty,X2: uni] : ( get1(X1,X2,X0) = get(X1,int,elts(X1,X2),t2tb(X0)) ),
    inference(rectify,[],[f72]) ).

tff(f83,plain,
    ! [X0: uni,X1: ty,X2: $int] :
      ( ~ sort(map(int,X1),X0)
      | ( elts(X1,mk_array(X1,X2,X0)) = X0 ) ),
    inference(rectify,[],[f75]) ).

tff(f86,plain,
    ! [X0: uni,X1: $int,X2: ty] : ( length(X2,mk_array(X2,X1,X0)) = X1 ),
    inference(rectify,[],[f70]) ).

tff(f87,plain,
    ? [X0: $int,X1: $int,X2: $int,X3: map_int_int] :
      ( $less(X1,X0)
      & ~ $less(X1,0)
      & $less(X2,X0)
      & ~ $less(X2,0)
      & ~ $less(X0,0)
      & ? [X4: $int] :
          ( ~ $less($sum(X2,X4),0)
          & ? [X5: $int] :
              ( ~ eqseq(tb2t1(mk_array(int,X0,t2tb2(X3))),X1,X2,X5)
              & ( X5 = $sum(X4,1) ) )
          & $less($sum(X1,X4),X0)
          & eqseq(tb2t1(mk_array(int,X0,t2tb2(X3))),X1,X2,X4)
          & $less($sum(X2,X4),X0)
          & $less($sum(X1,X4),X0)
          & ~ $less($sum(X1,X4),0)
          & $less($sum(X2,X4),X0)
          & ( tb2t(get(int,int,t2tb2(X3),t2tb($sum(X1,X4)))) = tb2t(get(int,int,t2tb2(X3),t2tb($sum(X2,X4)))) ) ) ),
    inference(rectify,[],[f79]) ).

tff(f88,plain,
    ( $less(sK1,sK0)
    & ~ $less(sK1,0)
    & $less(sK2,sK0)
    & ~ $less(sK2,0)
    & ~ $less(sK0,0)
    & ~ $less($sum(sK2,sK4),0)
    & ~ eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,sK5)
    & ( $sum(sK4,1) = sK5 )
    & $less($sum(sK1,sK4),sK0)
    & eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,sK4)
    & $less($sum(sK2,sK4),sK0)
    & $less($sum(sK1,sK4),sK0)
    & ~ $less($sum(sK1,sK4),0)
    & $less($sum(sK2,sK4),sK0)
    & ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK4)))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK4)))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f87]) ).

tff(f90,plain,
    ! [X3: array_int,X0: $int,X2: $int,X1: $int] :
      ( ( eqseq(X3,X2,X1,X0)
        | $less(length(int,t2tb1(X3)),$sum(X2,X0))
        | $less(X0,0)
        | ? [X4: $int] :
            ( ~ $less(X4,0)
            & $less(X4,X0)
            & ( tb2t(get1(int,t2tb1(X3),$sum(X1,X4))) != tb2t(get1(int,t2tb1(X3),$sum(X2,X4))) ) )
        | $less(length(int,t2tb1(X3)),$sum(X1,X0)) )
      & ( ( ~ $less(length(int,t2tb1(X3)),$sum(X2,X0))
          & ~ $less(X0,0)
          & ! [X4: $int] :
              ( $less(X4,0)
              | ~ $less(X4,X0)
              | ( tb2t(get1(int,t2tb1(X3),$sum(X1,X4))) = tb2t(get1(int,t2tb1(X3),$sum(X2,X4))) ) )
          & ~ $less(length(int,t2tb1(X3)),$sum(X1,X0)) )
        | ~ eqseq(X3,X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f81]) ).

tff(f91,plain,
    ! [X3: array_int,X0: $int,X2: $int,X1: $int] :
      ( ( eqseq(X3,X2,X1,X0)
        | $less(length(int,t2tb1(X3)),$sum(X2,X0))
        | $less(X0,0)
        | ? [X4: $int] :
            ( ~ $less(X4,0)
            & $less(X4,X0)
            & ( tb2t(get1(int,t2tb1(X3),$sum(X1,X4))) != tb2t(get1(int,t2tb1(X3),$sum(X2,X4))) ) )
        | $less(length(int,t2tb1(X3)),$sum(X1,X0)) )
      & ( ( ~ $less(length(int,t2tb1(X3)),$sum(X2,X0))
          & ~ $less(X0,0)
          & ! [X4: $int] :
              ( $less(X4,0)
              | ~ $less(X4,X0)
              | ( tb2t(get1(int,t2tb1(X3),$sum(X1,X4))) = tb2t(get1(int,t2tb1(X3),$sum(X2,X4))) ) )
          & ~ $less(length(int,t2tb1(X3)),$sum(X1,X0)) )
        | ~ eqseq(X3,X2,X1,X0) ) ),
    inference(flattening,[],[f90]) ).

tff(f92,plain,
    ! [X0: array_int,X1: $int,X2: $int,X3: $int] :
      ( ( eqseq(X0,X2,X3,X1)
        | $less(length(int,t2tb1(X0)),$sum(X2,X1))
        | $less(X1,0)
        | ? [X4: $int] :
            ( ~ $less(X4,0)
            & $less(X4,X1)
            & ( tb2t(get1(int,t2tb1(X0),$sum(X2,X4))) != tb2t(get1(int,t2tb1(X0),$sum(X3,X4))) ) )
        | $less(length(int,t2tb1(X0)),$sum(X3,X1)) )
      & ( ( ~ $less(length(int,t2tb1(X0)),$sum(X2,X1))
          & ~ $less(X1,0)
          & ! [X5: $int] :
              ( $less(X5,0)
              | ~ $less(X5,X1)
              | ( tb2t(get1(int,t2tb1(X0),$sum(X3,X5))) = tb2t(get1(int,t2tb1(X0),$sum(X2,X5))) ) )
          & ~ $less(length(int,t2tb1(X0)),$sum(X3,X1)) )
        | ~ eqseq(X0,X2,X3,X1) ) ),
    inference(rectify,[],[f91]) ).

tff(f93,plain,
    ! [X0: array_int,X1: $int,X2: $int,X3: $int] :
      ( ( eqseq(X0,X2,X3,X1)
        | $less(length(int,t2tb1(X0)),$sum(X2,X1))
        | $less(X1,0)
        | ( ~ $less(sK6(X0,X1,X2,X3),0)
          & $less(sK6(X0,X1,X2,X3),X1)
          & ( tb2t(get1(int,t2tb1(X0),$sum(X3,sK6(X0,X1,X2,X3)))) != tb2t(get1(int,t2tb1(X0),$sum(X2,sK6(X0,X1,X2,X3)))) ) )
        | $less(length(int,t2tb1(X0)),$sum(X3,X1)) )
      & ( ( ~ $less(length(int,t2tb1(X0)),$sum(X2,X1))
          & ~ $less(X1,0)
          & ! [X5: $int] :
              ( $less(X5,0)
              | ~ $less(X5,X1)
              | ( tb2t(get1(int,t2tb1(X0),$sum(X3,X5))) = tb2t(get1(int,t2tb1(X0),$sum(X2,X5))) ) )
          & ~ $less(length(int,t2tb1(X0)),$sum(X3,X1)) )
        | ~ eqseq(X0,X2,X3,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X4,sK6(X0,X1,X2,X3))],[f92]) ).

tff(f96,plain,
    ! [X2: uni,X0: $int,X1: ty] : ( get1(X1,X2,X0) = get(X1,int,elts(X1,X2),t2tb(X0)) ),
    inference(cnf_transformation,[],[f82]) ).

tff(f97,plain,
    ! [X0: map_int_int] : sort(map(int,int),t2tb2(X0)),
    inference(cnf_transformation,[],[f38]) ).

tff(f98,plain,
    ! [X2: $int,X0: uni,X1: ty] :
      ( ~ sort(map(int,X1),X0)
      | ( elts(X1,mk_array(X1,X2,X0)) = X0 ) ),
    inference(cnf_transformation,[],[f83]) ).

tff(f100,plain,
    ! [X0: uni] : ( t2tb1(tb2t1(X0)) = X0 ),
    inference(cnf_transformation,[],[f35]) ).

tff(f104,plain,
    ! [X2: ty,X0: uni,X1: $int] : ( length(X2,mk_array(X2,X1,X0)) = X1 ),
    inference(cnf_transformation,[],[f86]) ).

tff(f105,plain,
    ! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
    inference(cnf_transformation,[],[f27]) ).

tff(f106,plain,
    tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK4)))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK4)))),
    inference(cnf_transformation,[],[f88]) ).

tff(f107,plain,
    $less($sum(sK2,sK4),sK0),
    inference(cnf_transformation,[],[f88]) ).

tff(f111,plain,
    eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,sK4),
    inference(cnf_transformation,[],[f88]) ).

tff(f112,plain,
    $less($sum(sK1,sK4),sK0),
    inference(cnf_transformation,[],[f88]) ).

tff(f113,plain,
    $sum(sK4,1) = sK5,
    inference(cnf_transformation,[],[f88]) ).

tff(f114,plain,
    ~ eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,sK5),
    inference(cnf_transformation,[],[f88]) ).

tff(f123,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int,X5: $int] :
      ( $less(X5,0)
      | ~ $less(X5,X1)
      | ( tb2t(get1(int,t2tb1(X0),$sum(X3,X5))) = tb2t(get1(int,t2tb1(X0),$sum(X2,X5))) )
      | ~ eqseq(X0,X2,X3,X1) ),
    inference(cnf_transformation,[],[f93]) ).

tff(f124,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int] :
      ( ~ eqseq(X0,X2,X3,X1)
      | ~ $less(X1,0) ),
    inference(cnf_transformation,[],[f93]) ).

tff(f126,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int] :
      ( eqseq(X0,X2,X3,X1)
      | $less(length(int,t2tb1(X0)),$sum(X2,X1))
      | $less(X1,0)
      | ( tb2t(get1(int,t2tb1(X0),$sum(X3,sK6(X0,X1,X2,X3)))) != tb2t(get1(int,t2tb1(X0),$sum(X2,sK6(X0,X1,X2,X3)))) )
      | $less(length(int,t2tb1(X0)),$sum(X3,X1)) ),
    inference(cnf_transformation,[],[f93]) ).

tff(f127,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int] :
      ( eqseq(X0,X2,X3,X1)
      | $less(length(int,t2tb1(X0)),$sum(X3,X1))
      | $less(X1,0)
      | $less(sK6(X0,X1,X2,X3),X1)
      | $less(length(int,t2tb1(X0)),$sum(X2,X1)) ),
    inference(cnf_transformation,[],[f93]) ).

tff(f128,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int] :
      ( eqseq(X0,X2,X3,X1)
      | ~ $less(sK6(X0,X1,X2,X3),0)
      | $less(length(int,t2tb1(X0)),$sum(X3,X1))
      | $less(X1,0)
      | $less(length(int,t2tb1(X0)),$sum(X2,X1)) ),
    inference(cnf_transformation,[],[f93]) ).

tff(f132,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int] :
      ( eqseq(X0,X2,X3,X1)
      | $less(length(int,t2tb1(X0)),$sum(X2,X1))
      | $less(length(int,t2tb1(X0)),$sum(X3,X1))
      | ( tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK6(X0,X1,X2,X3))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X3,sK6(X0,X1,X2,X3))))) )
      | $less(X1,0) ),
    inference(definition_unfolding,[],[f126,f96,f96]) ).

tff(f133,plain,
    ! [X2: $int,X3: $int,X0: array_int,X1: $int,X5: $int] :
      ( ~ eqseq(X0,X2,X3,X1)
      | $less(X5,0)
      | ( tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X3,X5)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X5)))) )
      | ~ $less(X5,X1) ),
    inference(definition_unfolding,[],[f123,f96,f96]) ).

tff(f136,definition,
    ( spl7_1
  <=> ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK4)))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK4)))) ) ),
    introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).

tff(f138,plain,
    ( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK4)))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK4)))) )
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f136]) ).

tff(f139,plain,
    spl7_1,
    inference(avatar_split_clause,[],[f106,f136]) ).

tff(f146,definition,
    ( spl7_3
  <=> ( $sum(sK4,1) = sK5 ) ),
    introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).

tff(f148,plain,
    ( ( $sum(sK4,1) = sK5 )
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f146]) ).

tff(f149,plain,
    spl7_3,
    inference(avatar_split_clause,[],[f113,f146]) ).

tff(f151,definition,
    ( spl7_4
  <=> $less($sum(sK2,sK4),sK0) ),
    introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).

tff(f154,plain,
    spl7_4,
    inference(avatar_split_clause,[],[f107,f151]) ).

tff(f161,definition,
    ( spl7_6
  <=> $less($sum(sK1,sK4),sK0) ),
    introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).

tff(f164,plain,
    spl7_6,
    inference(avatar_split_clause,[],[f112,f161]) ).

tff(f171,definition,
    ( spl7_8
  <=> eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,sK5) ),
    introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).

tff(f173,plain,
    ( ~ eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,sK5)
    | spl7_8 ),
    inference(avatar_component_clause,[],[f171]) ).

tff(f174,plain,
    ~ spl7_8,
    inference(avatar_split_clause,[],[f114,f171]) ).

tff(f191,definition,
    ( spl7_12
  <=> eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,sK4) ),
    introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).

tff(f193,plain,
    ( eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,sK4)
    | ~ spl7_12 ),
    inference(avatar_component_clause,[],[f191]) ).

tff(f194,plain,
    spl7_12,
    inference(avatar_split_clause,[],[f111,f191]) ).

tff(f273,plain,
    ( ~ eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,$sum(sK4,1))
    | ~ spl7_3
    | spl7_8 ),
    inference(forward_demodulation,[],[f173,f148]) ).

tff(f275,definition,
    ( spl7_24
  <=> eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,$sum(sK4,1)) ),
    introduced(definition,[new_symbols(definition,[spl7_24])],[avatar_definition]) ).

tff(f277,plain,
    ( ~ eqseq(tb2t1(mk_array(int,sK0,t2tb2(sK3))),sK1,sK2,$sum(sK4,1))
    | spl7_24 ),
    inference(avatar_component_clause,[],[f275]) ).

tff(f278,plain,
    ( ~ spl7_24
    | ~ spl7_3
    | spl7_8 ),
    inference(avatar_split_clause,[],[f273,f171,f146,f275]) ).

tff(f308,plain,
    ( ( get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK4))) = t2tb(tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK4))))) )
    | ~ spl7_1 ),
    inference(superposition,[],[f105,f138]) ).

tff(f310,plain,
    ( ( get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK4))) = get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK4))) )
    | ~ spl7_1 ),
    inference(forward_demodulation,[],[f308,f105]) ).

tff(f312,definition,
    ( spl7_27
  <=> ( get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK4))) = get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK4))) ) ),
    introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition]) ).

tff(f315,plain,
    ( spl7_27
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f310,f136,f312]) ).

tff(f344,plain,
    ( ~ $less(sK4,0)
    | ~ spl7_12 ),
    inference(resolution,[],[f124,f193]) ).

tff(f346,definition,
    ( spl7_30
  <=> $less(sK4,0) ),
    introduced(definition,[new_symbols(definition,[spl7_30])],[avatar_definition]) ).

tff(f349,plain,
    ( ~ spl7_30
    | ~ spl7_12 ),
    inference(avatar_split_clause,[],[f344,f191,f346]) ).

tff(f368,plain,
    ! [X0: $int,X1: map_int_int] : ( t2tb2(X1) = elts(int,mk_array(int,X0,t2tb2(X1))) ),
    inference(resolution,[],[f98,f97]) ).

tff(f381,plain,
    ( $less($sum(sK4,1),0)
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK2,$sum(sK4,1)))
    | $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),$sum(sK4,1))
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK1,$sum(sK4,1)))
    | spl7_24 ),
    inference(resolution,[],[f127,f277]) ).

tff(f385,plain,
    ( $less($sum(sK4,1),0)
    | $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),$sum(sK4,1))
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK2,$sum(sK4,1)))
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK1,$sum(sK4,1)))
    | spl7_24 ),
    inference(forward_demodulation,[],[f381,f100]) ).

tff(f386,plain,
    ( $less($sum(sK4,1),0)
    | $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),$sum(sK4,1))
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK1,$sum(sK4,1)))
    | $less(sK0,$sum(sK2,$sum(sK4,1)))
    | spl7_24 ),
    inference(forward_demodulation,[],[f385,f104]) ).

tff(f387,plain,
    ( $less($sum(sK4,1),0)
    | $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),$sum(sK4,1))
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK1,$sum(sK4,1)))
    | $less(sK0,$sum(sK2,$sum(sK4,1)))
    | spl7_24 ),
    inference(forward_demodulation,[],[f386,f100]) ).

tff(f388,plain,
    ( $less(sK0,$sum(sK2,$sum(sK4,1)))
    | $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),$sum(sK4,1))
    | $less(sK0,$sum(sK1,$sum(sK4,1)))
    | $less($sum(sK4,1),0)
    | spl7_24 ),
    inference(forward_demodulation,[],[f387,f104]) ).

tff(f390,definition,
    ( spl7_33
  <=> $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),$sum(sK4,1)) ),
    introduced(definition,[new_symbols(definition,[spl7_33])],[avatar_definition]) ).

tff(f394,definition,
    ( spl7_34
  <=> $less(sK0,$sum(sK1,$sum(sK4,1))) ),
    introduced(definition,[new_symbols(definition,[spl7_34])],[avatar_definition]) ).

tff(f398,definition,
    ( spl7_35
  <=> $less(sK0,$sum(sK2,$sum(sK4,1))) ),
    introduced(definition,[new_symbols(definition,[spl7_35])],[avatar_definition]) ).

tff(f402,definition,
    ( spl7_36
  <=> $less($sum(sK4,1),0) ),
    introduced(definition,[new_symbols(definition,[spl7_36])],[avatar_definition]) ).

tff(f405,plain,
    ( spl7_33
    | spl7_34
    | spl7_35
    | spl7_36
    | spl7_24 ),
    inference(avatar_split_clause,[],[f388,f275,f402,f398,f394,f390]) ).

tff(f406,plain,
    ( $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK1,$sum(sK4,1)))
    | $less($sum(sK4,1),0)
    | ~ $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),0)
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK2,$sum(sK4,1)))
    | spl7_24 ),
    inference(resolution,[],[f128,f277]) ).

tff(f410,plain,
    ( $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK2,$sum(sK4,1)))
    | $less($sum(sK4,1),0)
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK1,$sum(sK4,1)))
    | ~ $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),0)
    | spl7_24 ),
    inference(forward_demodulation,[],[f406,f100]) ).

tff(f411,plain,
    ( ~ $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),0)
    | $less($sum(sK4,1),0)
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK2,$sum(sK4,1)))
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK1,$sum(sK4,1)))
    | spl7_24 ),
    inference(forward_demodulation,[],[f410,f100]) ).

tff(f412,plain,
    ( $less(sK0,$sum(sK2,$sum(sK4,1)))
    | ~ $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),0)
    | $less($sum(sK4,1),0)
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK1,$sum(sK4,1)))
    | spl7_24 ),
    inference(forward_demodulation,[],[f411,f104]) ).

tff(f413,plain,
    ( $less(sK0,$sum(sK2,$sum(sK4,1)))
    | $less(sK0,$sum(sK1,$sum(sK4,1)))
    | $less($sum(sK4,1),0)
    | ~ $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),0)
    | spl7_24 ),
    inference(forward_demodulation,[],[f412,f104]) ).

tff(f415,definition,
    ( spl7_37
  <=> $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),0) ),
    introduced(definition,[new_symbols(definition,[spl7_37])],[avatar_definition]) ).

tff(f417,plain,
    ( ~ $less(sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2),0)
    | spl7_37 ),
    inference(avatar_component_clause,[],[f415]) ).

tff(f418,plain,
    ( ~ spl7_37
    | spl7_36
    | spl7_35
    | spl7_34
    | spl7_24 ),
    inference(avatar_split_clause,[],[f413,f275,f394,f398,f402,f415]) ).

tff(f435,plain,
    ( ! [X0: $int] :
        ( ( tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),t2tb($sum(sK2,X0)))) = tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),t2tb($sum(sK1,X0)))) )
        | $less(X0,0)
        | ~ $less(X0,sK4) )
    | ~ spl7_12 ),
    inference(resolution,[],[f133,f193]) ).

tff(f439,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sK4)
        | $less(X0,0)
        | ( tb2t(get(int,int,elts(int,mk_array(int,sK0,t2tb2(sK3))),t2tb($sum(sK1,X0)))) = tb2t(get(int,int,elts(int,mk_array(int,sK0,t2tb2(sK3))),t2tb($sum(sK2,X0)))) ) )
    | ~ spl7_12 ),
    inference(forward_demodulation,[],[f435,f100]) ).

tff(f442,plain,
    ( ( tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) != tb2t(get(int,int,elts(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK1,$sum(sK4,1)))
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK2,$sum(sK4,1)))
    | $less($sum(sK4,1),0)
    | spl7_24 ),
    inference(resolution,[],[f132,f277]) ).

tff(f471,plain,
    ( ! [X0: $int] :
        ( $less(X0,0)
        | $less(sK4,X0)
        | ( tb2t(get(int,int,elts(int,mk_array(int,sK0,t2tb2(sK3))),t2tb($sum(sK1,X0)))) = tb2t(get(int,int,elts(int,mk_array(int,sK0,t2tb2(sK3))),t2tb($sum(sK2,X0)))) )
        | ( sK4 = X0 ) )
    | ~ spl7_12 ),
    inference(resolution,[],[f439,f54]) ).

tff(f485,plain,
    ( $less($sum(sK4,1),0)
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK1,$sum(sK4,1)))
    | ( tb2t(get(int,int,elts(int,mk_array(int,sK0,t2tb2(sK3))),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) != tb2t(get(int,int,elts(int,mk_array(int,sK0,t2tb2(sK3))),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK2,$sum(sK4,1)))
    | spl7_24 ),
    inference(forward_demodulation,[],[f442,f100]) ).

tff(f487,plain,
    ( ( tb2t(get(int,int,elts(int,mk_array(int,sK0,t2tb2(sK3))),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) != tb2t(get(int,int,elts(int,mk_array(int,sK0,t2tb2(sK3))),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK2,$sum(sK4,1)))
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK1,$sum(sK4,1)))
    | $less($sum(sK4,1),0)
    | spl7_24 ),
    inference(forward_demodulation,[],[f485,f100]) ).

tff(f489,plain,
    ( $less($sum(sK4,1),0)
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK1,$sum(sK4,1)))
    | $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK2,$sum(sK4,1)))
    | ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | spl7_24 ),
    inference(forward_demodulation,[],[f487,f368]) ).

tff(f490,plain,
    ( $less(length(int,t2tb1(tb2t1(mk_array(int,sK0,t2tb2(sK3))))),$sum(sK2,$sum(sK4,1)))
    | $less($sum(sK4,1),0)
    | $less(sK0,$sum(sK1,$sum(sK4,1)))
    | ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | spl7_24 ),
    inference(forward_demodulation,[],[f489,f104]) ).

tff(f491,plain,
    ( $less(sK0,$sum(sK1,$sum(sK4,1)))
    | $less(length(int,mk_array(int,sK0,t2tb2(sK3))),$sum(sK2,$sum(sK4,1)))
    | ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | $less($sum(sK4,1),0)
    | spl7_24 ),
    inference(forward_demodulation,[],[f490,f100]) ).

tff(f492,plain,
    ( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | $less(sK0,$sum(sK2,$sum(sK4,1)))
    | $less(sK0,$sum(sK1,$sum(sK4,1)))
    | $less($sum(sK4,1),0)
    | spl7_24 ),
    inference(forward_demodulation,[],[f491,f104]) ).

tff(f494,definition,
    ( spl7_43
  <=> ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) ) ),
    introduced(definition,[new_symbols(definition,[spl7_43])],[avatar_definition]) ).

tff(f496,plain,
    ( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) != tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | spl7_43 ),
    inference(avatar_component_clause,[],[f494]) ).

tff(f497,plain,
    ( spl7_34
    | ~ spl7_43
    | spl7_36
    | spl7_35
    | spl7_24 ),
    inference(avatar_split_clause,[],[f492,f275,f398,f402,f494,f394]) ).

tff(f626,plain,
    ( ! [X0: $int] :
        ( $less(X0,0)
        | $less(sK4,X0)
        | ( sK4 = X0 )
        | ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,X0)))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,X0)))) ) )
    | ~ spl7_12 ),
    inference(forward_demodulation,[],[f471,f368]) ).

tff(f645,plain,
    ( ( tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK2,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) = tb2t(get(int,int,t2tb2(sK3),t2tb($sum(sK1,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))))) )
    | ( sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2) = sK4 )
    | $less(sK4,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))
    | ~ spl7_12
    | spl7_37 ),
    inference(resolution,[],[f626,f417]) ).

tff(f696,plain,
    ( ( sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2) = sK4 )
    | $less(sK4,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2))
    | ~ spl7_12
    | spl7_37
    | spl7_43 ),
    inference(forward_subsumption_resolution,[],[f645,f496]) ).

tff(f739,definition,
    ( spl7_62
  <=> ( sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2) = sK4 ) ),
    introduced(definition,[new_symbols(definition,[spl7_62])],[avatar_definition]) ).

tff(f743,definition,
    ( spl7_63
  <=> $less(sK4,sK6(tb2t1(mk_array(int,sK0,t2tb2(sK3))),$sum(sK4,1),sK1,sK2)) ),
    introduced(definition,[new_symbols(definition,[spl7_63])],[avatar_definition]) ).

tff(f746,plain,
    ( spl7_62
    | spl7_63
    | ~ spl7_12
    | spl7_37
    | spl7_43 ),
    inference(avatar_split_clause,[],[f696,f494,f415,f191,f743,f739]) ).

tff(f769,plain,
    $false,
    inference(avatar_smt_refutation,[],[f746,f497,f418,f405,f349,f315,f278,f194,f174,f164,f154,f149,f139]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW614_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  % Computer : n007.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Mon Sep 28 14:20:43 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22  Running first-order theorem proving
% 0.10/0.22  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
% 3.20/1.18  % (2414323)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.20/1.18  % (2414332)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1054240240:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.20/1.18  % (2414332)Instruction limit reached! 
% 3.20/1.18  % (2414332)------------------------------
% 3.20/1.18  % (2414332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.18  % (2414332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.18  % (2414332)CaDiCaL version: 2.1.3
% 3.20/1.18  % (2414332)Termination reason: Instruction limit
% 3.20/1.18  % (2414332)Termination phase: Saturation
% 3.20/1.18  % (2414332)Time elapsed: 0.002 s
% 3.20/1.18  % (2414332)Peak memory usage: 88 MB
% 3.20/1.18  % (2414332)Instructions burned: 4 (million)
% 3.20/1.18  % (2414330)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3612055956:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.20/1.18  % (2414329)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2816643063:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.20/1.18  % (2414331)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1767488212:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.20/1.18  % (2414328)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=577081685:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.20/1.18  % (2414331)Instruction limit reached! 
% 3.20/1.18  % (2414331)------------------------------
% 3.20/1.18  % (2414331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.18  % (2414331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.18  % (2414331)CaDiCaL version: 2.1.3
% 3.20/1.18  % (2414331)Termination reason: Instruction limit
% 3.20/1.18  % (2414331)Termination phase: Saturation
% 3.20/1.18  % (2414331)Time elapsed: 0.005 s
% 3.20/1.18  % (2414331)Peak memory usage: 88 MB
% 3.20/1.18  % (2414331)Instructions burned: 7 (million)
% 3.20/1.18  % (2414333)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=75831225:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.20/1.18  % (2414334)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=243639457:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.20/1.18  % (2414328)Instruction limit reached! 
% 3.20/1.18  % (2414328)------------------------------
% 3.20/1.18  % (2414328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.18  % (2414328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.18  % (2414328)CaDiCaL version: 2.1.3
% 3.20/1.18  % (2414328)Termination reason: Instruction limit
% 3.20/1.18  % (2414328)Termination phase: Saturation
% 3.20/1.18  % (2414328)Time elapsed: 0.030 s
% 3.20/1.18  % (2414328)Peak memory usage: 115 MB
% 3.20/1.18  % (2414328)Instructions burned: 12 (million)
% 3.20/1.18  % (2414334)Instruction limit reached! 
% 3.20/1.18  % (2414334)------------------------------
% 3.20/1.18  % (2414334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.18  % (2414334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.18  % (2414334)CaDiCaL version: 2.1.3
% 3.20/1.18  % (2414334)Termination reason: Instruction limit
% 3.20/1.18  % (2414334)Termination phase: Saturation
% 3.20/1.18  % (2414334)Time elapsed: 0.045 s
% 3.20/1.18  % (2414334)Peak memory usage: 116 MB
% 3.20/1.18  % (2414334)Instructions burned: 33 (million)
% 3.20/1.18  % (2414333)Instruction limit reached! 
% 3.20/1.18  % (2414333)------------------------------
% 3.20/1.18  % (2414333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.20/1.18  % (2414333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/1.18  % (2414333)CaDiCaL version: 2.1.3
% 3.20/1.18  % (2414333)Termination reason: Instruction limit
% 3.20/1.18  % (2414333)Termination phase: Saturation
% 3.20/1.18  % (2414333)Time elapsed: 0.055 s
% 3.20/1.18  % (2414333)Peak memory usage: 116 MB
% 3.20/1.18  % (2414333)Instructions burned: 47 (million)
% 3.20/1.18  % (2414336)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3971386700:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.20/1.18  % (2414336)Instruction limit reached! 
% 3.20/1.18  % (2414336)------------------------------
% 3.20/1.18  % (2414336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.39  % (2414336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.39  % (2414336)CaDiCaL version: 2.1.3
% 4.44/1.39  % (2414336)Termination reason: Instruction limit
% 4.44/1.39  % (2414336)Termination phase: Saturation
% 4.44/1.39  % (2414336)Time elapsed: 0.006 s
% 4.44/1.39  % (2414336)Peak memory usage: 88 MB
% 4.44/1.39  % (2414336)Instructions burned: 14 (million)
% 4.44/1.39  % (2414343)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=2427054202:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.44/1.39  % (2414343)Instruction limit reached! 
% 4.44/1.39  % (2414343)------------------------------
% 4.44/1.39  % (2414343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.39  % (2414343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.39  % (2414343)CaDiCaL version: 2.1.3
% 4.44/1.39  % (2414343)Termination reason: Instruction limit
% 4.44/1.39  % (2414343)Termination phase: Saturation
% 4.44/1.39  % (2414343)Time elapsed: 0.022 s
% 4.44/1.39  % (2414343)Peak memory usage: 89 MB
% 4.44/1.39  % (2414343)Instructions burned: 29 (million)
% 4.44/1.39  % (2414330)Instruction limit reached! 
% 4.44/1.39  % (2414330)------------------------------
% 4.44/1.39  % (2414330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.39  % (2414330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.39  % (2414330)CaDiCaL version: 2.1.3
% 4.44/1.39  % (2414330)Termination reason: Instruction limit
% 4.44/1.39  % (2414330)Termination phase: Saturation
% 4.44/1.39  % (2414330)Time elapsed: 0.173 s
% 4.44/1.39  % (2414330)Peak memory usage: 118 MB
% 4.44/1.39  % (2414330)Instructions burned: 201 (million)
% 4.44/1.39  % (2414344)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2302694507:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.44/1.39  % (2414348)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1540012985:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.44/1.39  % (2414346)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=2084465613:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.44/1.39  % (2414345)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2764281190:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.44/1.39  % (2414344)Instruction limit reached! 
% 4.44/1.39  % (2414344)------------------------------
% 4.44/1.39  % (2414344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.39  % (2414344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.39  % (2414344)CaDiCaL version: 2.1.3
% 4.44/1.39  % (2414344)Termination reason: Instruction limit
% 4.44/1.39  % (2414344)Termination phase: Saturation
% 4.44/1.39  % (2414344)Time elapsed: 0.011 s
% 4.44/1.39  % (2414344)Peak memory usage: 90 MB
% 4.44/1.39  % (2414344)Instructions burned: 16 (million)
% 4.44/1.39  % (2414329)Instruction limit reached! 
% 4.44/1.39  % (2414329)------------------------------
% 4.44/1.39  % (2414329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.39  % (2414329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.39  % (2414329)CaDiCaL version: 2.1.3
% 4.44/1.39  % (2414329)Termination reason: Instruction limit
% 4.44/1.39  % (2414329)Termination phase: Saturation
% 4.44/1.39  % (2414329)Time elapsed: 0.201 s
% 4.44/1.39  % (2414329)Peak memory usage: 116 MB
% 4.44/1.39  % (2414329)Instructions burned: 307 (million)
% 4.44/1.39  % (2414346)Instruction limit reached! 
% 4.44/1.39  % (2414346)------------------------------
% 4.44/1.39  % (2414346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.39  % (2414346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.39  % (2414346)CaDiCaL version: 2.1.3
% 4.44/1.39  % (2414346)Termination reason: Instruction limit
% 4.44/1.39  % (2414346)Termination phase: Saturation
% 4.44/1.39  % (2414346)Time elapsed: 0.016 s
% 4.44/1.39  % (2414346)Peak memory usage: 89 MB
% 4.44/1.39  % (2414346)Instructions burned: 27 (million)
% 4.44/1.39  % (2414345)Instruction limit reached! 
% 4.44/1.39  % (2414345)------------------------------
% 4.44/1.39  % (2414345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.55  % (2414345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.55  % (2414345)CaDiCaL version: 2.1.3
% 5.56/1.55  % (2414345)Termination reason: Instruction limit
% 5.56/1.55  % (2414345)Termination phase: Saturation
% 5.56/1.55  % (2414345)Time elapsed: 0.018 s
% 5.56/1.55  % (2414345)Peak memory usage: 89 MB
% 5.56/1.55  % (2414345)Instructions burned: 24 (million)
% 5.56/1.55  % (2414348)Instruction limit reached! 
% 5.56/1.55  % (2414348)------------------------------
% 5.56/1.55  % (2414348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.55  % (2414348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.55  % (2414348)CaDiCaL version: 2.1.3
% 5.56/1.55  % (2414348)Termination reason: Instruction limit
% 5.56/1.55  % (2414348)Termination phase: Saturation
% 5.56/1.55  % (2414348)Time elapsed: 0.025 s
% 5.56/1.55  % (2414348)Peak memory usage: 89 MB
% 5.56/1.55  % (2414348)Instructions burned: 89 (million)
% 5.56/1.55  % (2414360)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=573434130:st=3:i=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/2Mi)
% 5.56/1.55  % (2414350)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3537878846:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.56/1.55  % (2414351)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=902335680:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.56/1.55  % (2414360)Instruction limit reached! 
% 5.56/1.55  % (2414360)------------------------------
% 5.56/1.55  % (2414360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.55  % (2414360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.55  % (2414360)CaDiCaL version: 2.1.3
% 5.56/1.55  % (2414360)Termination reason: Instruction limit
% 5.56/1.55  % (2414360)Termination phase: Saturation
% 5.56/1.55  % (2414360)Time elapsed: 0.002 s
% 5.56/1.55  % (2414360)Peak memory usage: 88 MB
% 5.56/1.55  % (2414360)Instructions burned: 4 (million)
% 5.56/1.55  % (2414350)Instruction limit reached! 
% 5.56/1.55  % (2414350)------------------------------
% 5.56/1.55  % (2414350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.55  % (2414350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.55  % (2414350)CaDiCaL version: 2.1.3
% 5.56/1.55  % (2414350)Termination reason: Instruction limit
% 5.56/1.55  % (2414350)Termination phase: Property scanning
% 5.56/1.55  % (2414350)Time elapsed: 0.002 s
% 5.56/1.55  % (2414350)Peak memory usage: 86 MB
% 5.56/1.55  % (2414350)Instructions burned: 3 (million)
% 5.56/1.55  % (2414357)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1293723699:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.56/1.55  % (2414356)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=599017708:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.56/1.55  % (2414356)Instruction limit reached! 
% 5.56/1.55  % (2414356)------------------------------
% 5.56/1.55  % (2414356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.55  % (2414356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.55  % (2414356)CaDiCaL version: 2.1.3
% 5.56/1.55  % (2414356)Termination reason: Instruction limit
% 5.56/1.55  % (2414356)Termination phase: Saturation
% 5.56/1.55  % (2414356)Time elapsed: 0.003 s
% 5.56/1.55  % (2414356)Peak memory usage: 88 MB
% 5.56/1.55  % (2414356)Instructions burned: 4 (million)
% 5.56/1.55  % (2414358)lrs+10_1_thi=all:si=on:fd=off:random_seed=2225924865:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.56/1.55  % (2414359)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=1698587553:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.56/1.55  % (2414359)Instruction limit reached! 
% 5.56/1.55  % (2414359)------------------------------
% 5.56/1.55  % (2414359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.55  % (2414359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.55  % (2414359)CaDiCaL version: 2.1.3
% 5.56/1.55  % (2414359)Termination reason: Instruction limit
% 5.56/1.55  % (2414359)Termination phase: Saturation
% 6.77/1.78  % (2414359)Time elapsed: 0.006 s
% 6.77/1.78  % (2414359)Peak memory usage: 88 MB
% 6.77/1.78  % (2414359)Instructions burned: 9 (million)
% 6.77/1.78  % (2414358)Instruction limit reached! 
% 6.77/1.78  % (2414358)------------------------------
% 6.77/1.78  % (2414358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78  % (2414358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78  % (2414358)CaDiCaL version: 2.1.3
% 6.77/1.78  % (2414358)Termination reason: Instruction limit
% 6.77/1.78  % (2414358)Termination phase: Saturation
% 6.77/1.78  % (2414358)Time elapsed: 0.064 s
% 6.77/1.78  % (2414358)Peak memory usage: 117 MB
% 6.77/1.78  % (2414358)Instructions burned: 53 (million)
% 6.77/1.78  % (2414357)Instruction limit reached! 
% 6.77/1.78  % (2414357)------------------------------
% 6.77/1.78  % (2414357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78  % (2414357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78  % (2414357)CaDiCaL version: 2.1.3
% 6.77/1.78  % (2414357)Termination reason: Instruction limit
% 6.77/1.78  % (2414357)Termination phase: Saturation
% 6.77/1.78  % (2414357)Time elapsed: 0.091 s
% 6.77/1.78  % (2414357)Peak memory usage: 134 MB
% 6.77/1.78  % (2414357)Instructions burned: 67 (million)
% 6.77/1.78  % (2414351)Instruction limit reached! 
% 6.77/1.78  % (2414351)------------------------------
% 6.77/1.78  % (2414351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78  % (2414351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78  % (2414351)CaDiCaL version: 2.1.3
% 6.77/1.78  % (2414351)Termination reason: Instruction limit
% 6.77/1.78  % (2414351)Termination phase: Saturation
% 6.77/1.78  % (2414351)Time elapsed: 0.106 s
% 6.77/1.78  % (2414351)Peak memory usage: 90 MB
% 6.77/1.78  % (2414351)Instructions burned: 182 (million)
% 6.77/1.78  % (2414365)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=189867156:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.77/1.78  % (2414365)Instruction limit reached! 
% 6.77/1.78  % (2414365)------------------------------
% 6.77/1.78  % (2414365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78  % (2414365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78  % (2414365)CaDiCaL version: 2.1.3
% 6.77/1.78  % (2414365)Termination reason: Instruction limit
% 6.77/1.78  % (2414365)Termination phase: Clausification
% 6.77/1.78  % (2414365)Time elapsed: 0.001 s
% 6.77/1.78  % (2414365)Peak memory usage: 86 MB
% 6.77/1.78  % (2414365)Instructions burned: 2 (million)
% 6.77/1.78  % (2414366)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3532543874:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 6.77/1.78  % (2414368)dis+10_1_si=on:random_seed=927409873:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.77/1.78  % (2414368)Instruction limit reached! 
% 6.77/1.78  % (2414368)------------------------------
% 6.77/1.78  % (2414368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78  % (2414368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78  % (2414368)CaDiCaL version: 2.1.3
% 6.77/1.78  % (2414368)Termination reason: Instruction limit
% 6.77/1.78  % (2414368)Termination phase: Saturation
% 6.77/1.78  % (2414368)Time elapsed: 0.009 s
% 6.77/1.78  % (2414368)Peak memory usage: 88 MB
% 6.77/1.78  % (2414368)Instructions burned: 11 (million)
% 6.77/1.78  % (2414371)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=1293914887:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.77/1.78  % (2414371)Refutation not found, incomplete strategy
% 6.77/1.78  % (2414371)------------------------------
% 6.77/1.78  % (2414371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78  % (2414371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78  % (2414371)CaDiCaL version: 2.1.3
% 6.77/1.78  % (2414371)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.78  % (2414371)Time elapsed: 0.005 s
% 6.77/1.78  % (2414371)Peak memory usage: 89 MB
% 6.77/1.78  % (2414371)Instructions burned: 7 (million)
% 6.77/1.78  % (2414376)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=1975609229:i=370:ep=RS:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/370Mi)
% 6.77/1.78  % (2414373)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=660323132:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 8.43/2.02  % (2414372)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=4072012355: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_2994 on theBenchmark for (2994ds/35Mi)
% 8.43/2.02  % (2414373)Instruction limit reached! 
% 8.43/2.02  % (2414373)------------------------------
% 8.43/2.02  % (2414373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.02  % (2414373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.02  % (2414373)CaDiCaL version: 2.1.3
% 8.43/2.02  % (2414373)Termination reason: Instruction limit
% 8.43/2.02  % (2414373)Termination phase: Property scanning
% 8.43/2.02  % (2414373)Time elapsed: 0.002 s
% 8.43/2.02  % (2414373)Peak memory usage: 86 MB
% 8.43/2.02  % (2414373)Instructions burned: 3 (million)
% 8.43/2.02  % (2414366)Instruction limit reached! 
% 8.43/2.02  % (2414366)------------------------------
% 8.43/2.02  % (2414366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.02  % (2414366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.02  % (2414366)CaDiCaL version: 2.1.3
% 8.43/2.02  % (2414366)Termination reason: Instruction limit
% 8.43/2.02  % (2414366)Termination phase: Saturation
% 8.43/2.02  % (2414366)Time elapsed: 0.113 s
% 8.43/2.02  % (2414366)Peak memory usage: 119 MB
% 8.43/2.02  % (2414366)Instructions burned: 127 (million)
% 8.43/2.02  % (2414375)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2270844345:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 8.43/2.02  % (2414375)Instruction limit reached! 
% 8.43/2.02  % (2414375)------------------------------
% 8.43/2.02  % (2414375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.02  % (2414375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.02  % (2414375)CaDiCaL version: 2.1.3
% 8.43/2.02  % (2414375)Termination reason: Instruction limit
% 8.43/2.02  % (2414375)Termination phase: Saturation
% 8.43/2.02  % (2414375)Time elapsed: 0.006 s
% 8.43/2.02  % (2414375)Peak memory usage: 88 MB
% 8.43/2.02  % (2414375)Instructions burned: 8 (million)
% 8.43/2.02  % (2414372)Instruction limit reached! 
% 8.43/2.02  % (2414372)------------------------------
% 8.43/2.02  % (2414372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.02  % (2414372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.02  % (2414372)CaDiCaL version: 2.1.3
% 8.43/2.02  % (2414372)Termination reason: Instruction limit
% 8.43/2.02  % (2414372)Termination phase: Saturation
% 8.43/2.02  % (2414372)Time elapsed: 0.029 s
% 8.43/2.02  % (2414372)Peak memory usage: 89 MB
% 8.43/2.02  % (2414372)Instructions burned: 36 (million)
% 8.43/2.02  % (2414379)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3111858775:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 8.43/2.02  % (2414376)Instruction limit reached! 
% 8.43/2.02  % (2414376)------------------------------
% 8.43/2.02  % (2414376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.02  % (2414376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.02  % (2414376)CaDiCaL version: 2.1.3
% 8.43/2.02  % (2414376)Termination reason: Instruction limit
% 8.43/2.02  % (2414376)Termination phase: Saturation
% 8.43/2.02  % (2414376)Time elapsed: 0.116 s
% 8.43/2.02  % (2414376)Peak memory usage: 92 MB
% 8.43/2.02  % (2414376)Instructions burned: 375 (million)
% 8.43/2.02  % (2414379)Instruction limit reached! 
% 8.43/2.02  % (2414379)------------------------------
% 8.43/2.02  % (2414379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.43/2.02  % (2414379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/2.02  % (2414379)CaDiCaL version: 2.1.3
% 8.43/2.02  % (2414379)Termination reason: Instruction limit
% 8.43/2.02  % (2414379)Termination phase: Saturation
% 8.43/2.02  % (2414379)Time elapsed: 0.030 s
% 8.43/2.02  % (2414379)Peak memory usage: 113 MB
% 8.43/2.02  % (2414379)Instructions burned: 13 (million)
% 8.43/2.02  % (2414384)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3062414373:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 8.43/2.02  % (2414387)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1034263732:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 11.18/2.29  % (2414386)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1897577946:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 11.18/2.29  % (2414386)Instruction limit reached! 
% 11.18/2.29  % (2414386)------------------------------
% 11.18/2.29  % (2414386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414386)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414386)Termination reason: Instruction limit
% 11.18/2.29  % (2414386)Termination phase: Saturation
% 11.18/2.29  % (2414386)Time elapsed: 0.008 s
% 11.18/2.29  % (2414386)Peak memory usage: 88 MB
% 11.18/2.29  % (2414386)Instructions burned: 10 (million)
% 11.18/2.29  % (2414371)------------------------------
% 11.18/2.29  % (2414371)------------------------------
% 11.18/2.29  % (2414384)Refutation not found, incomplete strategy
% 11.18/2.29  % (2414384)------------------------------
% 11.18/2.29  % (2414384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414384)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414384)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.29  % (2414384)Time elapsed: 0.040 s
% 11.18/2.29  % (2414384)Peak memory usage: 116 MB
% 11.18/2.29  % (2414384)Instructions burned: 19 (million)
% 11.18/2.29  % (2414388)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=4231814178:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 11.18/2.29  % (2414390)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=3237387758:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2991 on theBenchmark for (2991ds/294Mi)
% 11.18/2.29  % (2414388)Instruction limit reached! 
% 11.18/2.29  % (2414388)------------------------------
% 11.18/2.29  % (2414388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414388)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414388)Termination reason: Instruction limit
% 11.18/2.29  % (2414388)Termination phase: Saturation
% 11.18/2.29  % (2414388)Time elapsed: 0.049 s
% 11.18/2.29  % (2414388)Peak memory usage: 89 MB
% 11.18/2.29  % (2414388)Instructions burned: 75 (million)
% 11.18/2.29  % (2414387)Instruction limit reached! 
% 11.18/2.29  % (2414387)------------------------------
% 11.18/2.29  % (2414387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414387)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414387)Termination reason: Instruction limit
% 11.18/2.29  % (2414387)Termination phase: Saturation
% 11.18/2.29  % (2414387)Time elapsed: 0.092 s
% 11.18/2.29  % (2414387)Peak memory usage: 133 MB
% 11.18/2.29  % (2414387)Instructions burned: 71 (million)
% 11.18/2.29  % (2414391)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=1476282314:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2991 on theBenchmark for (2991ds/130Mi)
% 11.18/2.29  % (2414390)Instruction limit reached! 
% 11.18/2.29  % (2414390)------------------------------
% 11.18/2.29  % (2414390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414390)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414390)Termination reason: Instruction limit
% 11.18/2.29  % (2414390)Termination phase: Saturation
% 11.18/2.29  % (2414390)Time elapsed: 0.109 s
% 11.18/2.29  % (2414390)Peak memory usage: 91 MB
% 11.18/2.29  % (2414390)Instructions burned: 295 (million)
% 11.18/2.29  % (2414395)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=4087488538:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 11.18/2.29  % (2414397)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=4041872489:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 11.18/2.29  % (2414391)Instruction limit reached! 
% 11.18/2.29  % (2414391)------------------------------
% 11.18/2.29  % (2414391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414391)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414391)Termination reason: Instruction limit
% 11.18/2.29  % (2414391)Termination phase: Saturation
% 11.18/2.29  % (2414391)Time elapsed: 0.109 s
% 11.18/2.29  % (2414391)Peak memory usage: 117 MB
% 11.18/2.29  % (2414391)Instructions burned: 130 (million)
% 11.18/2.29  % (2414399)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1307420939:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 11.18/2.29  % (2414400)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=4200602837:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 11.18/2.29  % (2414397)Instruction limit reached! 
% 11.18/2.29  % (2414397)------------------------------
% 11.18/2.29  % (2414397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414397)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414397)Termination reason: Instruction limit
% 11.18/2.29  % (2414397)Termination phase: Saturation
% 11.18/2.29  % (2414397)Time elapsed: 0.071 s
% 11.18/2.29  % (2414397)Peak memory usage: 135 MB
% 11.18/2.29  % (2414397)Instructions burned: 40 (million)
% 11.18/2.29  % (2414384)------------------------------
% 11.18/2.29  % (2414384)------------------------------
% 11.18/2.29  % (2414402)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=2626746031:i=131:canc=cautious:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/131Mi)
% 11.18/2.29  % (2414395)Instruction limit reached! 
% 11.18/2.29  % (2414395)------------------------------
% 11.18/2.29  % (2414395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414395)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414395)Termination reason: Instruction limit
% 11.18/2.29  % (2414395)Termination phase: Saturation
% 11.18/2.29  % (2414395)Time elapsed: 0.130 s
% 11.18/2.29  % (2414395)Peak memory usage: 134 MB
% 11.18/2.29  % (2414395)Instructions burned: 131 (million)
% 11.18/2.29  % (2414402)Instruction limit reached! 
% 11.18/2.29  % (2414402)------------------------------
% 11.18/2.29  % (2414402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414402)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414402)Termination reason: Instruction limit
% 11.18/2.29  % (2414402)Termination phase: Saturation
% 11.18/2.29  % (2414402)Time elapsed: 0.061 s
% 11.18/2.29  % (2414402)Peak memory usage: 119 MB
% 11.18/2.29  % (2414402)Instructions burned: 131 (million)
% 11.18/2.29  % (2414406)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=4185690821:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2988 on theBenchmark for (2988ds/259Mi)
% 11.18/2.29  % (2414408)dis+10_1_si=on:random_seed=3157344001:s2a=on:i=1000:rtra=on:gtg=exists_all_2988 on theBenchmark for (2988ds/1000Mi)
% 11.18/2.29  % (2414399)Instruction limit reached! 
% 11.18/2.29  % (2414399)------------------------------
% 11.18/2.29  % (2414399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414399)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414399)Termination reason: Instruction limit
% 11.18/2.29  % (2414399)Termination phase: Saturation
% 11.18/2.29  % (2414399)Time elapsed: 0.170 s
% 11.18/2.29  % (2414399)Peak memory usage: 93 MB
% 11.18/2.29  % (2414399)Instructions burned: 307 (million)
% 11.18/2.29  % (2414410)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=3746078936:i=383:fsr=off:rtra=on:ev=force_2988 on theBenchmark for (2988ds/383Mi)
% 11.18/2.29  % (2414412)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=3023027252:i=65:nm=16:rtra=on_2987 on theBenchmark for (2987ds/65Mi)
% 11.18/2.29  % (2414411)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=2949121436:i=141:doe=on:rtra=on_2988 on theBenchmark for (2988ds/141Mi)
% 11.18/2.29  % (2414412)Refutation not found, incomplete strategy
% 11.18/2.29  % (2414412)------------------------------
% 11.18/2.29  % (2414412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414412)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414412)Termination reason: Refutation not found, incomplete strategy
% 11.18/2.29  % (2414412)Time elapsed: 0.024 s
% 11.18/2.29  % (2414412)Peak memory usage: 116 MB
% 11.18/2.29  % (2414412)Instructions burned: 24 (million)
% 11.18/2.29  % (2414406)First to succeed.
% 11.18/2.29  % (2414406)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2414323"
% 11.18/2.29  % (2414411)Instruction limit reached! 
% 11.18/2.29  % (2414411)------------------------------
% 11.18/2.29  % (2414411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414411)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414411)Termination reason: Instruction limit
% 11.18/2.29  % (2414411)Termination phase: Saturation
% 11.18/2.29  % (2414411)Time elapsed: 0.096 s
% 11.18/2.29  % (2414411)Peak memory usage: 90 MB
% 11.18/2.29  % (2414411)Instructions burned: 141 (million)
% 11.18/2.29  % (2414415)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=3003141920:i=121:nm=16:rtra=on_2986 on theBenchmark for (2986ds/121Mi)
% 11.18/2.29  % (2414410)Instruction limit reached! 
% 11.18/2.29  % (2414410)------------------------------
% 11.18/2.29  % (2414410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414410)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414410)Termination reason: Instruction limit
% 11.18/2.29  % (2414410)Termination phase: Saturation
% 11.18/2.29  % (2414410)Time elapsed: 0.188 s
% 11.18/2.29  % (2414410)Peak memory usage: 90 MB
% 11.18/2.29  % (2414410)Instructions burned: 385 (million)
% 11.18/2.29  % (2414400)Instruction limit reached! 
% 11.18/2.29  % (2414400)------------------------------
% 11.18/2.29  % (2414400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414400)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414400)Termination reason: Instruction limit
% 11.18/2.29  % (2414400)Termination phase: Saturation
% 11.18/2.29  % (2414412)------------------------------
% 11.18/2.29  % (2414412)------------------------------
% 11.18/2.29  % (2414400)Time elapsed: 0.370 s
% 11.18/2.29  % (2414400)Peak memory usage: 141 MB
% 11.18/2.29  % (2414400)Instructions burned: 599 (million)
% 11.18/2.29  % (2414415)Instruction limit reached! 
% 11.18/2.29  % (2414415)------------------------------
% 11.18/2.29  % (2414415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.29  % (2414415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.29  % (2414415)CaDiCaL version: 2.1.3
% 11.18/2.29  % (2414415)Termination reason: Instruction limit
% 11.18/2.29  % (2414415)Termination phase: Saturation
% 11.18/2.29  % (2414415)Time elapsed: 0.084 s
% 11.18/2.29  % (2414415)Peak memory usage: 90 MB
% 11.18/2.29  % (2414415)Instructions burned: 122 (million)
% 11.18/2.29  % (2414419)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=4293238396:s2a=on:i=128:s2at=5:ins=3:rtra=on_2985 on theBenchmark for (2985ds/128Mi)
% 11.18/2.29  % (2414422)dis+1010_1_to=kbo:si=on:random_seed=4060629887:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2984 on theBenchmark for (2984ds/175Mi)
% 11.18/2.29  % (2414406)Refutation found. Thanks to Tanya!
% 11.18/2.29  % SZS status Theorem for theBenchmark
% 11.18/2.29  % SZS output start Proof for theBenchmark
% See solution above
% 12.13/2.48  % (2414406)------------------------------
% 12.13/2.48  % (2414406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.13/2.48  % (2414406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.13/2.48  % (2414406)CaDiCaL version: 2.1.3
% 12.13/2.48  % (2414406)Termination reason: Refutation
% 12.13/2.48  % (2414406)Time elapsed: 0.100 s
% 12.13/2.48  % (2414406)Peak memory usage: 118 MB
% 12.13/2.48  % (2414406)Instructions burned: 110 (million)
% 12.13/2.48  % (2414406)------------------------------
% 12.13/2.48  % (2414406)------------------------------
% 12.13/2.48  % (2414323)Success in time 1.636 s
% 12.13/2.48  % Vampire exiting
%------------------------------------------------------------------------------