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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU179+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 12:47:36 PM UTC 2026

% Result   : Theorem 1.78s 1.13s
% Output   : Refutation 2.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   62 (  11 unt;   2 def)
%            Number of atoms       :  221 (  20 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  257 (  98   ~; 103   |;  35   &)
%                                         (  12 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   2 con; 0-2 aty)
%            Number of variables   :  125 (   0 sgn 103   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).

fof(f5,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).

fof(f28,conjecture,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ( subset(X0,X1)
           => ( subset(relation_dom(X0),relation_dom(X1))
              & subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).

fof(f29,negated_conjecture,
    ~ ! [X0] :
        ( relation(X0)
       => ! [X1] :
            ( relation(X1)
           => ( subset(X0,X1)
             => ( subset(relation_dom(X0),relation_dom(X1))
                & subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f39,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ subset(relation_dom(X0),relation_dom(X1))
            | ~ subset(relation_rng(X0),relation_rng(X1)) )
          & subset(X0,X1)
          & relation(X1) )
      & relation(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f40,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ subset(relation_dom(X0),relation_dom(X1))
            | ~ subset(relation_rng(X0),relation_rng(X1)) )
          & subset(X0,X1)
          & relation(X1) )
      & relation(X0) ),
    inference(flattening,[],[f39]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_dom(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f43,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f44,plain,
    ( ( ~ subset(relation_dom(sK0),relation_dom(sK1))
      | ~ subset(relation_rng(sK0),relation_rng(sK1)) )
    & subset(sK0,sK1)
    & relation(sK1)
    & relation(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f40]) ).

fof(f45,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
                & ( ? [X3] : in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X2,X4),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( ? [X7] : in(ordered_pair(X5,X7),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f45]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_dom(X0)
            | ( ( ! [X3] : ~ in(ordered_pair(sK2(X0,X1),X3),X0)
                | ~ in(sK2(X0,X1),X1) )
              & ( in(ordered_pair(sK2(X0,X1),sK3(X0,X1)),X0)
                | in(sK2(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
                & ( in(ordered_pair(X5,sK4(X0,X5)),X0)
                  | ~ in(X5,X1) ) )
            | relation_dom(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X2,sK2(X0,X1)),skolemize(X4,sK3(X0,X1)),skolemize(X7,sK4(X0,X5))],[f46]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f49]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK5(X0,X1),X1)
          & in(sK5(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f50]) ).

fof(f53,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
                & ( ? [X3] : in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
                  | ~ in(X2,X1) )
                & ( ? [X4] : in(ordered_pair(X4,X2),X0)
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( ? [X7] : in(ordered_pair(X7,X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f53]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
                | ~ in(sK7(X0,X1),X1) )
              & ( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
                | in(sK7(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
                & ( in(ordered_pair(sK9(X0,X5),X5),X0)
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f54]) ).

fof(f56,plain,
    relation(sK0),
    inference(cnf_transformation,[],[f44]) ).

fof(f57,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f44]) ).

fof(f58,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f44]) ).

fof(f59,plain,
    ( ~ subset(relation_dom(sK0),relation_dom(sK1))
    | ~ subset(relation_rng(sK0),relation_rng(sK1)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f60,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(X5,sK4(X0,X5)),X0)
      | ~ in(X5,X1)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f61,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X5,X6),X0)
      | relation_dom(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f47]) ).

fof(f67,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( in(sK5(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ in(sK5(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f71,plain,
    ! [X0,X1,X5] :
      ( in(ordered_pair(sK9(X0,X5),X5),X0)
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f72,plain,
    ! [X0,X1,X6,X5] :
      ( in(X5,X1)
      | ~ in(ordered_pair(X6,X5),X0)
      | relation_rng(X0) != X1
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f75,plain,
    ! [X0,X6,X5] :
      ( ~ in(ordered_pair(X5,X6),X0)
      | in(X5,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f61]) ).

fof(f76,plain,
    ! [X0,X5] :
      ( in(ordered_pair(X5,sK4(X0,X5)),X0)
      | ~ in(X5,relation_dom(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f60]) ).

fof(f77,plain,
    ! [X0,X6,X5] :
      ( ~ in(ordered_pair(X6,X5),X0)
      | in(X5,relation_rng(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f72]) ).

fof(f78,plain,
    ! [X0,X5] :
      ( in(ordered_pair(sK9(X0,X5),X5),X0)
      | ~ in(X5,relation_rng(X0))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f71]) ).

fof(f80,definition,
    ( spl10_1
  <=> subset(relation_rng(sK0),relation_rng(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).

fof(f82,plain,
    ( ~ subset(relation_rng(sK0),relation_rng(sK1))
    | spl10_1 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f84,definition,
    ( spl10_2
  <=> subset(relation_dom(sK0),relation_dom(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).

fof(f87,plain,
    ( ~ spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f59,f84,f80]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ in(X0,sK0)
      | in(X0,sK1) ),
    inference(resolution,[],[f58,f67]) ).

fof(f91,plain,
    ! [X0] :
      ( in(ordered_pair(sK9(sK0,X0),X0),sK1)
      | ~ in(X0,relation_rng(sK0))
      | ~ relation(sK0) ),
    inference(resolution,[],[f88,f78]) ).

fof(f92,plain,
    ! [X0] :
      ( in(ordered_pair(X0,sK4(sK0,X0)),sK1)
      | ~ in(X0,relation_dom(sK0))
      | ~ relation(sK0) ),
    inference(resolution,[],[f88,f76]) ).

fof(f94,plain,
    ! [X0] :
      ( in(ordered_pair(X0,sK4(sK0,X0)),sK1)
      | ~ in(X0,relation_dom(sK0)) ),
    inference(forward_subsumption_resolution,[],[f92,f56]) ).

fof(f95,plain,
    ! [X0] :
      ( in(ordered_pair(sK9(sK0,X0),X0),sK1)
      | ~ in(X0,relation_rng(sK0)) ),
    inference(forward_subsumption_resolution,[],[f91,f56]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK0))
      | in(X0,relation_dom(sK1))
      | ~ relation(sK1) ),
    inference(resolution,[],[f94,f75]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK0))
      | in(X0,relation_dom(sK1)) ),
    inference(forward_subsumption_resolution,[],[f102,f57]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ in(X0,relation_rng(sK0))
      | in(X0,relation_rng(sK1))
      | ~ relation(sK1) ),
    inference(resolution,[],[f95,f77]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ in(X0,relation_rng(sK0))
      | in(X0,relation_rng(sK1)) ),
    inference(forward_subsumption_resolution,[],[f106,f57]) ).

fof(f116,plain,
    ! [X0] :
      ( in(sK5(relation_dom(sK0),X0),relation_dom(sK1))
      | subset(relation_dom(sK0),X0) ),
    inference(resolution,[],[f103,f68]) ).

fof(f149,plain,
    ! [X0] :
      ( in(sK5(relation_rng(sK0),X0),relation_rng(sK1))
      | subset(relation_rng(sK0),X0) ),
    inference(resolution,[],[f111,f68]) ).

fof(f170,plain,
    ( subset(relation_dom(sK0),relation_dom(sK1))
    | subset(relation_dom(sK0),relation_dom(sK1)) ),
    inference(resolution,[],[f116,f69]) ).

fof(f171,plain,
    subset(relation_dom(sK0),relation_dom(sK1)),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f172,plain,
    spl10_2,
    inference(avatar_split_clause,[],[f171,f84]) ).

fof(f174,plain,
    ( subset(relation_rng(sK0),relation_rng(sK1))
    | subset(relation_rng(sK0),relation_rng(sK1)) ),
    inference(resolution,[],[f149,f69]) ).

fof(f175,plain,
    subset(relation_rng(sK0),relation_rng(sK1)),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f176,plain,
    ( $false
    | spl10_1 ),
    inference(forward_subsumption_resolution,[],[f175,f82]) ).

fof(f177,plain,
    spl10_1,
    inference(avatar_contradiction_clause,[],[f176]) ).

cnf(s1,plain,
    ( ~ spl10_1
    | ~ spl10_2 ),
    inference(sat_conversion,[],[f87]) ).

cnf(s10,plain,
    spl10_2,
    inference(sat_conversion,[],[f172]) ).

cnf(s11,plain,
    spl10_1,
    inference(sat_conversion,[],[f177]) ).

cnf(s12,plain,
    $false,
    inference(rat,[],[s1,s10,s11]) ).

fof(f178,plain,
    $false,
    inference(avatar_sat_refutation,[],[s12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU179+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n018.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 03:56:54 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 1.78/1.13  % (2980506)Detected formulas, will run a generic FOF schedule.
% 1.78/1.13  % (2980514)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3786247966:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.78/1.13  % (2980514)First to succeed.
% 1.78/1.13  % (2980514)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2980506"
% 1.78/1.13  % (2980513)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3195944796:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.78/1.13  % (2980511)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1146028100:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.78/1.13  % (2980517)dis-21_1_sil=8000:lcm=predicate:random_seed=3529901535:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.78/1.13  % (2980515)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2413280826:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.78/1.13  % (2980512)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4048826575:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.78/1.13  % (2980516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1489483458:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.78/1.13  % (2980517)Also succeeded, but the first one will report.
% 1.78/1.13  % (2980515)Instruction limit reached! 
% 1.78/1.13  % (2980515)------------------------------
% 1.78/1.13  % (2980515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/1.13  % (2980515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/1.13  % (2980515)CaDiCaL version: 2.1.3
% 1.78/1.13  % (2980515)Termination reason: Instruction limit
% 1.78/1.13  % (2980515)Termination phase: Saturation
% 1.78/1.13  % (2980515)Time elapsed: 0.070 s
% 1.78/1.13  % (2980515)Peak memory usage: 88 MB
% 1.78/1.13  % (2980515)Instructions burned: 119 (million)
% 1.78/1.13  % (2980516)Instruction limit reached! 
% 1.78/1.13  % (2980516)------------------------------
% 1.78/1.13  % (2980516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.78/1.13  % (2980516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/1.13  % (2980516)CaDiCaL version: 2.1.3
% 1.78/1.13  % (2980516)Termination reason: Instruction limit
% 1.78/1.13  % (2980516)Termination phase: Saturation
% 1.78/1.13  % (2980516)Time elapsed: 0.105 s
% 1.78/1.13  % (2980516)Peak memory usage: 90 MB
% 1.78/1.13  % (2980516)Instructions burned: 140 (million)
% 1.78/1.13  % (2980514)Refutation found. Thanks to Tanya!
% 1.78/1.13  % SZS status Theorem for theBenchmark
% 1.78/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.33  % (2980514)------------------------------
% 2.66/1.33  % (2980514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.33  % (2980514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.33  % (2980514)CaDiCaL version: 2.1.3
% 2.66/1.33  % (2980514)Termination reason: Refutation
% 2.66/1.33  % (2980514)Time elapsed: 0.003 s
% 2.66/1.33  % (2980514)Peak memory usage: 89 MB
% 2.66/1.33  % (2980514)Instructions burned: 5 (million)
% 2.66/1.33  % (2980514)------------------------------
% 2.66/1.33  % (2980514)------------------------------
% 2.66/1.33  % (2980506)Success in time 0.292 s
% 2.66/1.33  % Vampire exiting
%------------------------------------------------------------------------------