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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : DAT051_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 09:47:11 AM UTC 2026

% Result   : Theorem 2.78s 1.10s
% Output   : Refutation 3.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   70 (  12 unt;   0 typ;  14 def)
%            Number of atoms       :  186 (  76 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  178 (  62   ~;  61   |;  34   &)
%                                         (  14 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number arithmetic     :  180 (   0 atm;  97 fun;  83 num;   0 var)
%            Number of types       :    3 (   1 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;  15 prp; 0-2 aty)
%            Number of functors    :   14 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (  19   !;   6   ?;  25   :)

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

tff(func_def_0,type,
    length: record > $int ).

tff(func_def_1,type,
    next: record > record ).

tff(func_def_2,type,
    data: record > $int ).

tff(func_def_3,type,
    split1: record > record ).

tff(func_def_4,type,
    split2: record > record ).

tff(func_def_12,type,
    sK0: record ).

tff(func_def_13,type,
    sK1: record ).

tff(pred_def_1,type,
    isrecord: record > $o ).

tff(f3,axiom,
    ! [X0: record] :
      ( isrecord(X0)
     => ( length(X0) = $sum(length(next(X0)),1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

tff(f11,axiom,
    ! [X0: record] :
      ( ( isrecord(next(X0))
        & isrecord(X0) )
     => isrecord(split2(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

tff(f13,axiom,
    ! [X0: record] :
      ( ( isrecord(X0)
        & isrecord(next(X0)) )
     => ( next(split2(X0)) = split2(next(next(X0))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

tff(f14,conjecture,
    ! [X1: record,X0: record] :
      ( ( isrecord(X0)
        & ( X1 = next(next(X0)) )
        & ( ( $product(2,length(split2(X1))) = $difference(length(X1),1) )
          | ( $product(2,length(split2(X1))) = length(X1) ) )
        & isrecord(next(X0)) )
     => ( ( $product(2,length(split2(X0))) = length(X0) )
        | ( $product(2,length(split2(X0))) = $difference(length(X0),1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f15,negated_conjecture,
    ~ ! [X1: record,X0: record] :
        ( ( isrecord(X0)
          & ( X1 = next(next(X0)) )
          & ( ( $product(2,length(split2(X1))) = $difference(length(X1),1) )
            | ( $product(2,length(split2(X1))) = length(X1) ) )
          & isrecord(next(X0)) )
       => ( ( $product(2,length(split2(X0))) = length(X0) )
          | ( $product(2,length(split2(X0))) = $difference(length(X0),1) ) ) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

tff(f16,plain,
    ~ ! [X1: record,X0: record] :
        ( ( isrecord(X0)
          & ( X1 = next(next(X0)) )
          & ( ( $product(2,length(split2(X1))) = $sum(length(X1),$uminus(1)) )
            | ( $product(2,length(split2(X1))) = length(X1) ) )
          & isrecord(next(X0)) )
       => ( ( $product(2,length(split2(X0))) = length(X0) )
          | ( $product(2,length(split2(X0))) = $sum(length(X0),$uminus(1)) ) ) ),
    inference(theory_normalization,[],[f15]) ).

tff(f18,plain,
    ~ ! [X1: record,X0: record] :
        ( ( isrecord(X1)
          & isrecord(next(X1))
          & ( next(next(X1)) = X0 )
          & ( ( $product(2,length(split2(X0))) = $sum(length(X0),$uminus(1)) )
            | ( length(X0) = $product(2,length(split2(X0))) ) ) )
       => ( ( $product(2,length(split2(X1))) = $sum(length(X1),$uminus(1)) )
          | ( $product(2,length(split2(X1))) = length(X1) ) ) ),
    inference(rectify,[],[f16]) ).

tff(f21,plain,
    ? [X1: record,X0: record] :
      ( ( $product(2,length(split2(X1))) != $sum(length(X1),$uminus(1)) )
      & ( $product(2,length(split2(X1))) != length(X1) )
      & isrecord(X1)
      & isrecord(next(X1))
      & ( next(next(X1)) = X0 )
      & ( ( $product(2,length(split2(X0))) = $sum(length(X0),$uminus(1)) )
        | ( length(X0) = $product(2,length(split2(X0))) ) ) ),
    inference(ennf_transformation,[],[f18]) ).

tff(f22,plain,
    ? [X1: record,X0: record] :
      ( ( ( $product(2,length(split2(X0))) = $sum(length(X0),$uminus(1)) )
        | ( length(X0) = $product(2,length(split2(X0))) ) )
      & ( next(next(X1)) = X0 )
      & ( $product(2,length(split2(X1))) != length(X1) )
      & isrecord(next(X1))
      & isrecord(X1)
      & ( $product(2,length(split2(X1))) != $sum(length(X1),$uminus(1)) ) ),
    inference(flattening,[],[f21]) ).

tff(f27,plain,
    ! [X0: record] :
      ( isrecord(split2(X0))
      | ~ isrecord(next(X0))
      | ~ isrecord(X0) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f28,plain,
    ! [X0: record] :
      ( ~ isrecord(X0)
      | ~ isrecord(next(X0))
      | isrecord(split2(X0)) ),
    inference(flattening,[],[f27]) ).

tff(f31,plain,
    ! [X0: record] :
      ( ( next(split2(X0)) = split2(next(next(X0))) )
      | ~ isrecord(X0)
      | ~ isrecord(next(X0)) ),
    inference(ennf_transformation,[],[f13]) ).

tff(f32,plain,
    ! [X0: record] :
      ( ( next(split2(X0)) = split2(next(next(X0))) )
      | ~ isrecord(next(X0))
      | ~ isrecord(X0) ),
    inference(flattening,[],[f31]) ).

tff(f38,plain,
    ! [X0: record] :
      ( ~ isrecord(X0)
      | ( length(X0) = $sum(length(next(X0)),1) ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f39,plain,
    ? [X0: record,X1: record] :
      ( ( ( $product(2,length(split2(X1))) = $sum(length(X1),$uminus(1)) )
        | ( $product(2,length(split2(X1))) = length(X1) ) )
      & ( next(next(X0)) = X1 )
      & ( length(X0) != $product(2,length(split2(X0))) )
      & isrecord(next(X0))
      & isrecord(X0)
      & ( $product(2,length(split2(X0))) != $sum(length(X0),$uminus(1)) ) ),
    inference(rectify,[],[f22]) ).

tff(f40,plain,
    ( ( ( $product(2,length(split2(sK1))) = $sum(length(sK1),$uminus(1)) )
      | ( length(sK1) = $product(2,length(split2(sK1))) ) )
    & ( sK1 = next(next(sK0)) )
    & ( length(sK0) != $product(2,length(split2(sK0))) )
    & isrecord(next(sK0))
    & isrecord(sK0)
    & ( $sum(length(sK0),$uminus(1)) != $product(2,length(split2(sK0))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f39]) ).

tff(f44,plain,
    ! [X0: record] :
      ( ~ isrecord(next(X0))
      | ~ isrecord(X0)
      | ( next(split2(X0)) = split2(next(next(X0))) ) ),
    inference(cnf_transformation,[],[f32]) ).

tff(f45,plain,
    $sum(length(sK0),$uminus(1)) != $product(2,length(split2(sK0))),
    inference(cnf_transformation,[],[f40]) ).

tff(f46,plain,
    isrecord(sK0),
    inference(cnf_transformation,[],[f40]) ).

tff(f47,plain,
    isrecord(next(sK0)),
    inference(cnf_transformation,[],[f40]) ).

tff(f48,plain,
    length(sK0) != $product(2,length(split2(sK0))),
    inference(cnf_transformation,[],[f40]) ).

tff(f49,plain,
    sK1 = next(next(sK0)),
    inference(cnf_transformation,[],[f40]) ).

tff(f50,plain,
    ( ( $product(2,length(split2(sK1))) = $sum(length(sK1),$uminus(1)) )
    | ( length(sK1) = $product(2,length(split2(sK1))) ) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f52,plain,
    ! [X0: record] :
      ( ~ isrecord(X0)
      | ( length(X0) = $sum(length(next(X0)),1) ) ),
    inference(cnf_transformation,[],[f38]) ).

tff(f55,plain,
    ! [X0: record] :
      ( ~ isrecord(next(X0))
      | isrecord(split2(X0))
      | ~ isrecord(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tff(f60,plain,
    ( ( $sum(length(sK1),-1) = $product(2,length(split2(sK1))) )
    | ( length(sK1) = $product(2,length(split2(sK1))) ) ),
    inference(evaluation,[],[f50]) ).

tff(f61,plain,
    $sum(length(sK0),-1) != $product(2,length(split2(sK0))),
    inference(evaluation,[],[f45]) ).

tff(f63,definition,
    ( spl2_1
  <=> isrecord(next(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

tff(f65,plain,
    ( isrecord(next(sK0))
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f63]) ).

tff(f66,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f47,f63]) ).

tff(f68,definition,
    ( spl2_2
  <=> ( length(sK1) = $product(2,length(split2(sK1))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

tff(f70,plain,
    ( ( length(sK1) = $product(2,length(split2(sK1))) )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f68]) ).

tff(f72,definition,
    ( spl2_3
  <=> ( $sum(length(sK1),-1) = $product(2,length(split2(sK1))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

tff(f74,plain,
    ( ( $sum(length(sK1),-1) = $product(2,length(split2(sK1))) )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f72]) ).

tff(f75,plain,
    ( spl2_2
    | spl2_3 ),
    inference(avatar_split_clause,[],[f60,f72,f68]) ).

tff(f77,definition,
    ( spl2_4
  <=> isrecord(sK0) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

tff(f79,plain,
    ( isrecord(sK0)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f77]) ).

tff(f80,plain,
    spl2_4,
    inference(avatar_split_clause,[],[f46,f77]) ).

tff(f82,definition,
    ( spl2_5
  <=> ( sK1 = next(next(sK0)) ) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

tff(f84,plain,
    ( ( sK1 = next(next(sK0)) )
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f82]) ).

tff(f85,plain,
    spl2_5,
    inference(avatar_split_clause,[],[f49,f82]) ).

tff(f87,definition,
    ( spl2_6
  <=> ( length(sK0) = $product(2,length(split2(sK0))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

tff(f90,plain,
    ~ spl2_6,
    inference(avatar_split_clause,[],[f48,f87]) ).

tff(f92,definition,
    ( spl2_7
  <=> ( $sum(length(sK0),-1) = $product(2,length(split2(sK0))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

tff(f95,plain,
    ~ spl2_7,
    inference(avatar_split_clause,[],[f61,f92]) ).

tff(f96,plain,
    ( ( length(next(next(sK0))) = $product(2,length(split2(next(next(sK0))))) )
    | ~ spl2_2
    | ~ spl2_5 ),
    inference(forward_demodulation,[],[f70,f84]) ).

tff(f98,definition,
    ( spl2_8
  <=> ( length(next(next(sK0))) = $product(2,length(split2(next(next(sK0))))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).

tff(f101,plain,
    ( spl2_8
    | ~ spl2_2
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f96,f82,f68,f98]) ).

tff(f102,plain,
    ( ( $sum(length(next(next(sK0))),-1) = $product(2,length(split2(next(next(sK0))))) )
    | ~ spl2_3
    | ~ spl2_5 ),
    inference(forward_demodulation,[],[f74,f84]) ).

tff(f105,definition,
    ( spl2_9
  <=> ( $sum(length(next(next(sK0))),-1) = $product(2,length(split2(next(next(sK0))))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).

tff(f108,plain,
    ( spl2_9
    | ~ spl2_3
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f102,f82,f72,f105]) ).

tff(f136,plain,
    ( ~ isrecord(sK0)
    | isrecord(split2(sK0))
    | ~ spl2_1 ),
    inference(resolution,[],[f55,f65]) ).

tff(f138,plain,
    ( isrecord(split2(sK0))
    | ~ spl2_1
    | ~ spl2_4 ),
    inference(forward_subsumption_resolution,[],[f136,f79]) ).

tff(f140,definition,
    ( spl2_13
  <=> isrecord(split2(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).

tff(f142,plain,
    ( isrecord(split2(sK0))
    | ~ spl2_13 ),
    inference(avatar_component_clause,[],[f140]) ).

tff(f143,plain,
    ( spl2_13
    | ~ spl2_1
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f138,f77,f63,f140]) ).

tff(f154,plain,
    ( ( $sum(length(next(next(sK0))),1) = length(next(sK0)) )
    | ~ spl2_1 ),
    inference(resolution,[],[f52,f65]) ).

tff(f156,plain,
    ( ( length(split2(sK0)) = $sum(length(next(split2(sK0))),1) )
    | ~ spl2_13 ),
    inference(resolution,[],[f52,f142]) ).

tff(f157,plain,
    ( ( length(sK0) = $sum(length(next(sK0)),1) )
    | ~ spl2_4 ),
    inference(resolution,[],[f52,f79]) ).

tff(f159,definition,
    ( spl2_15
  <=> ( $sum(length(next(next(sK0))),1) = length(next(sK0)) ) ),
    introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).

tff(f162,plain,
    ( spl2_15
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f154,f63,f159]) ).

tff(f164,definition,
    ( spl2_16
  <=> ( length(split2(sK0)) = $sum(length(next(split2(sK0))),1) ) ),
    introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).

tff(f167,plain,
    ( spl2_16
    | ~ spl2_13 ),
    inference(avatar_split_clause,[],[f156,f140,f164]) ).

tff(f169,definition,
    ( spl2_17
  <=> ( length(sK0) = $sum(length(next(sK0)),1) ) ),
    introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).

tff(f172,plain,
    ( spl2_17
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f157,f77,f169]) ).

tff(f211,plain,
    ( ~ isrecord(sK0)
    | ( next(split2(sK0)) = split2(next(next(sK0))) )
    | ~ spl2_1 ),
    inference(resolution,[],[f44,f65]) ).

tff(f213,plain,
    ( ( next(split2(sK0)) = split2(next(next(sK0))) )
    | ~ spl2_1
    | ~ spl2_4 ),
    inference(forward_subsumption_resolution,[],[f211,f79]) ).

tff(f215,definition,
    ( spl2_24
  <=> ( next(split2(sK0)) = split2(next(next(sK0))) ) ),
    introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).

tff(f218,plain,
    ( spl2_24
    | ~ spl2_1
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f213,f77,f63,f215]) ).

tff(f219,plain,
    $false,
    inference(avatar_smt_refutation,[],[f218,f172,f167,f162,f143,f108,f101,f95,f90,f85,f80,f75,f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : DAT051_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n004.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Sep 29 00:07:09 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running first-order theorem proving
% 0.07/0.23  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.78/1.09  % (914883)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.78/1.09  % (914962)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=2834453113:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.78/1.09  % (914962)Instruction limit reached! 
% 2.78/1.09  % (914962)------------------------------
% 2.78/1.09  % (914962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.09  % (914962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.09  % (914962)CaDiCaL version: 2.1.3
% 2.78/1.09  % (914962)Termination reason: Instruction limit
% 2.78/1.09  % (914962)Termination phase: Saturation
% 2.78/1.09  % (914962)Time elapsed: 0.003 s
% 2.78/1.09  % (914962)Peak memory usage: 88 MB
% 2.78/1.09  % (914962)Instructions burned: 7 (million)
% 2.78/1.09  % (914964)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2674635462:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.78/1.09  % (914963)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1125114026:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.78/1.09  % (914960)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=265476076:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.78/1.09  % (914965)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=759060130:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.78/1.09  % (914961)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=966914276:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.78/1.09  % (914959)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2347625594:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.78/1.09  % (914963)Instruction limit reached! 
% 2.78/1.09  % (914963)------------------------------
% 2.78/1.09  % (914963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.09  % (914963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.09  % (914963)CaDiCaL version: 2.1.3
% 2.78/1.09  % (914963)Termination reason: Instruction limit
% 2.78/1.09  % (914963)Termination phase: Saturation
% 2.78/1.09  % (914963)Time elapsed: 0.004 s
% 2.78/1.09  % (914963)Peak memory usage: 89 MB
% 2.78/1.09  % (914963)Instructions burned: 5 (million)
% 2.78/1.09  % (914959)Instruction limit reached! 
% 2.78/1.09  % (914959)------------------------------
% 2.78/1.09  % (914959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.09  % (914959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.09  % (914959)CaDiCaL version: 2.1.3
% 2.78/1.09  % (914959)Termination reason: Instruction limit
% 2.78/1.09  % (914959)Termination phase: Saturation
% 2.78/1.09  % (914959)Time elapsed: 0.031 s
% 2.78/1.09  % (914959)Peak memory usage: 115 MB
% 2.78/1.09  % (914959)Instructions burned: 12 (million)
% 2.78/1.09  % (914965)Instruction limit reached! 
% 2.78/1.09  % (914965)------------------------------
% 2.78/1.09  % (914965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.09  % (914965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.09  % (914965)CaDiCaL version: 2.1.3
% 2.78/1.09  % (914965)Termination reason: Instruction limit
% 2.78/1.09  % (914965)Termination phase: Saturation
% 2.78/1.09  % (914965)Time elapsed: 0.046 s
% 2.78/1.09  % (914965)Peak memory usage: 116 MB
% 2.78/1.09  % (914965)Instructions burned: 33 (million)
% 2.78/1.09  % (914964)First to succeed.
% 2.78/1.09  % (914964)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-914883"
% 2.78/1.09  % (914967)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1676065746:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.78/1.09  % (914967)Instruction limit reached! 
% 2.78/1.09  % (914967)------------------------------
% 2.78/1.09  % (914967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.09  % (914967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.09  % (914967)CaDiCaL version: 2.1.3
% 2.78/1.09  % (914967)Termination reason: Instruction limit
% 2.78/1.09  % (914967)Termination phase: Saturation
% 2.78/1.09  % (914967)Time elapsed: 0.006 s
% 2.78/1.09  % (914967)Peak memory usage: 88 MB
% 2.78/1.09  % (914967)Instructions burned: 17 (million)
% 2.78/1.09  % (914974)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=2129507460:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 2.78/1.10  % (914961)Instruction limit reached! 
% 2.78/1.10  % (914961)------------------------------
% 2.78/1.10  % (914961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.10  % (914961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.10  % (914961)CaDiCaL version: 2.1.3
% 2.78/1.10  % (914961)Termination reason: Instruction limit
% 2.78/1.10  % (914961)Termination phase: Saturation
% 2.78/1.10  % (914961)Time elapsed: 0.163 s
% 2.78/1.10  % (914961)Peak memory usage: 117 MB
% 2.78/1.10  % (914961)Instructions burned: 202 (million)
% 2.78/1.10  % (914975)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2287319284:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 2.78/1.10  % (914974)Instruction limit reached! 
% 2.78/1.10  % (914974)------------------------------
% 2.78/1.10  % (914974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.10  % (914974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.10  % (914974)CaDiCaL version: 2.1.3
% 2.78/1.10  % (914974)Termination reason: Instruction limit
% 2.78/1.10  % (914974)Termination phase: Saturation
% 2.78/1.10  % (914974)Time elapsed: 0.022 s
% 2.78/1.10  % (914974)Peak memory usage: 89 MB
% 2.78/1.10  % (914974)Instructions burned: 30 (million)
% 2.78/1.10  % (914975)Instruction limit reached! 
% 2.78/1.10  % (914975)------------------------------
% 2.78/1.10  % (914975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.10  % (914975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.10  % (914975)CaDiCaL version: 2.1.3
% 2.78/1.10  % (914975)Termination reason: Instruction limit
% 2.78/1.10  % (914975)Termination phase: Saturation
% 2.78/1.10  % (914975)Time elapsed: 0.012 s
% 2.78/1.10  % (914975)Peak memory usage: 90 MB
% 2.78/1.10  % (914975)Instructions burned: 17 (million)
% 2.78/1.10  % (914976)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1493886524:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 2.78/1.10  % (914960)Instruction limit reached! 
% 2.78/1.10  % (914960)------------------------------
% 2.78/1.10  % (914960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.10  % (914960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.10  % (914960)CaDiCaL version: 2.1.3
% 2.78/1.10  % (914960)Termination reason: Instruction limit
% 2.78/1.10  % (914960)Termination phase: Saturation
% 2.78/1.10  % (914960)Time elapsed: 0.213 s
% 2.78/1.10  % (914960)Peak memory usage: 116 MB
% 2.78/1.10  % (914960)Instructions burned: 308 (million)
% 2.78/1.10  % (914976)Instruction limit reached! 
% 2.78/1.10  % (914976)------------------------------
% 2.78/1.10  % (914976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.10  % (914976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.10  % (914976)CaDiCaL version: 2.1.3
% 2.78/1.10  % (914976)Termination reason: Instruction limit
% 2.78/1.10  % (914976)Termination phase: Saturation
% 2.78/1.10  % (914976)Time elapsed: 0.020 s
% 2.78/1.10  % (914976)Peak memory usage: 89 MB
% 2.78/1.10  % (914976)Instructions burned: 24 (million)
% 2.78/1.10  % (914978)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=980176102:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 2.78/1.10  % (914964)Refutation found. Thanks to Tanya!
% 2.78/1.10  % SZS status Theorem for theBenchmark
% 2.78/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.29  % (914964)------------------------------
% 3.60/1.29  % (914964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29  % (914964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29  % (914964)CaDiCaL version: 2.1.3
% 3.60/1.29  % (914964)Termination reason: Refutation
% 3.60/1.29  % (914964)Time elapsed: 0.048 s
% 3.60/1.29  % (914964)Peak memory usage: 116 MB
% 3.60/1.29  % (914964)Instructions burned: 31 (million)
% 3.60/1.29  % (914964)------------------------------
% 3.60/1.29  % (914964)------------------------------
% 3.60/1.29  % (914883)Success in time 0.423 s
% 3.60/1.29  % Vampire exiting
%------------------------------------------------------------------------------