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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COM143+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:39:39 AM UTC 2026

% Result   : Theorem 3.10s 0.81s
% Output   : Refutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   67 (  21 unt;   3 def)
%            Number of atoms       :  187 ( 107 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  176 (  56   ~;  63   |;  45   &)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   21 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :  182 (   0 sgn 126   !;  56   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ( vvar(X0) = vvar(X1)
       => X0 = X1 )
      & ( X0 = X1
       => vvar(X0) = vvar(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-var') ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-abs') ).

fof(f5,axiom,
    ! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app') ).

fof(f18,axiom,
    ! [X0] : vnoType != vsomeType(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noType-someType') ).

fof(f24,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( X2 = X5
        & X3 = vbind(X1,X0,X6) )
     => ( X5 != X1
       => ( X4 = vlookup(X2,X3)
         => X4 = vlookup(X5,X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lookup2) ).

fof(f51,axiom,
    ! [X0,X1,X2] :
      ( vlookup(X1,X0) = vsomeType(X2)
     => vtcheck(X0,vvar(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-var') ).

fof(f54,axiom,
    ! [X0,X1,X2] :
      ( vtcheck(X2,X0,X1)
     => ( ? [X3] :
            ( X0 = vvar(X3)
            & vlookup(X3,X2) = vsomeType(X1) )
        | ? [X3,X4,X5,X6] :
            ( X0 = vabs(X3,X5,X4)
            & X1 = varrow(X5,X6)
            & vtcheck(vbind(X3,X5,X2),X4,X6) )
        | ? [X7,X4,X8] :
            ( X0 = vapp(X7,X4)
            & vtcheck(X2,X7,varrow(X8,X1))
            & vtcheck(X2,X4,X8) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-inv') ).

fof(f55,conjecture,
    ! [X0,X1,X2,X3,X4] :
      ( ( vlookup(X0,X2) = vnoType
        & vtcheck(X2,vvar(X3),X4) )
     => vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-var') ).

fof(f56,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4] :
        ( ( vlookup(X0,X2) = vnoType
          & vtcheck(X2,vvar(X3),X4) )
       => vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
    inference(negated_conjecture,[status(cth)],[f55]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( vtcheck(X2,X0,X1)
     => ( ? [X3] :
            ( X0 = vvar(X3)
            & vlookup(X3,X2) = vsomeType(X1) )
        | ? [X4,X5,X6,X7] :
            ( vabs(X4,X6,X5) = X0
            & varrow(X6,X7) = X1
            & vtcheck(vbind(X4,X6,X2),X5,X7) )
        | ? [X8,X9,X10] :
            ( vapp(X8,X9) = X0
            & vtcheck(X2,X8,varrow(X10,X1))
            & vtcheck(X2,X9,X10) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f61,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
      & vlookup(X0,X2) = vnoType
      & vtcheck(X2,vvar(X3),X4) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f62,plain,
    ? [X0,X1,X2,X3,X4] :
      ( ~ vtcheck(vbind(X0,X1,X2),vvar(X3),X4)
      & vlookup(X0,X2) = vnoType
      & vtcheck(X2,vvar(X3),X4) ),
    inference(flattening,[],[f61]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | vvar(X0) != vvar(X1) )
      & ( vvar(X0) = vvar(X1)
        | X0 != X1 ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( X0 = vvar(X3)
          & vlookup(X3,X2) = vsomeType(X1) )
      | ? [X4,X5,X6,X7] :
          ( vabs(X4,X6,X5) = X0
          & varrow(X6,X7) = X1
          & vtcheck(vbind(X4,X6,X2),X5,X7) )
      | ? [X8,X9,X10] :
          ( vapp(X8,X9) = X0
          & vtcheck(X2,X8,varrow(X10,X1))
          & vtcheck(X2,X9,X10) )
      | ~ vtcheck(X2,X0,X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( X0 = vvar(X3)
          & vlookup(X3,X2) = vsomeType(X1) )
      | ? [X4,X5,X6,X7] :
          ( vabs(X4,X6,X5) = X0
          & varrow(X6,X7) = X1
          & vtcheck(vbind(X4,X6,X2),X5,X7) )
      | ? [X8,X9,X10] :
          ( vapp(X8,X9) = X0
          & vtcheck(X2,X8,varrow(X10,X1))
          & vtcheck(X2,X9,X10) )
      | ~ vtcheck(X2,X0,X1) ),
    inference(flattening,[],[f64]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( vtcheck(X0,vvar(X1),X2)
      | vsomeType(X2) != vlookup(X1,X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f80,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( X4 = vlookup(X5,X6)
      | vlookup(X2,X3) != X4
      | X1 = X5
      | X2 != X5
      | vbind(X1,X0,X6) != X3 ),
    inference(ennf_transformation,[],[f24]) ).

fof(f81,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( X4 = vlookup(X5,X6)
      | vlookup(X2,X3) != X4
      | X1 = X5
      | X2 != X5
      | vbind(X1,X0,X6) != X3 ),
    inference(flattening,[],[f80]) ).

fof(f84,definition,
    ! [X0,X1,X2] :
      ( ? [X8,X9,X10] :
          ( vapp(X8,X9) = X0
          & vtcheck(X2,X8,varrow(X10,X1))
          & vtcheck(X2,X9,X10) )
      | ~ sP0(X0,X1,X2) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f85,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( X0 = vvar(X3)
          & vlookup(X3,X2) = vsomeType(X1) )
      | ? [X4,X5,X6,X7] :
          ( vabs(X4,X6,X5) = X0
          & varrow(X6,X7) = X1
          & vtcheck(vbind(X4,X6,X2),X5,X7) )
      | sP0(X0,X1,X2)
      | ~ vtcheck(X2,X0,X1) ),
    inference(definition_folding,[],[f65,f84]) ).

fof(f89,plain,
    ( ~ vtcheck(vbind(sK3,sK4,sK5),vvar(sK6),sK7)
    & vnoType = vlookup(sK3,sK5)
    & vtcheck(sK5,vvar(sK6),sK7) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7)],[f62]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( ? [X8,X9,X10] :
          ( vapp(X8,X9) = X0
          & vtcheck(X2,X8,varrow(X10,X1))
          & vtcheck(X2,X9,X10) )
      | ~ sP0(X0,X1,X2) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( vapp(X3,X4) = X0
          & vtcheck(X2,X3,varrow(X5,X1))
          & vtcheck(X2,X4,X5) )
      | ~ sP0(X0,X1,X2) ),
    inference(rectify,[],[f90]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( ( vapp(sK8(X0,X1,X2),sK9(X0,X1,X2)) = X0
        & vtcheck(X2,sK8(X0,X1,X2),varrow(sK10(X0,X1,X2),X1))
        & vtcheck(X2,sK9(X0,X1,X2),sK10(X0,X1,X2)) )
      | ~ sP0(X0,X1,X2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X3,sK8(X0,X1,X2)),skolemize(X4,sK9(X0,X1,X2)),skolemize(X5,sK10(X0,X1,X2))],[f91]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ( vvar(sK11(X0,X1,X2)) = X0
        & vsomeType(X1) = vlookup(sK11(X0,X1,X2),X2) )
      | ( vabs(sK12(X0,X1,X2),sK14(X0,X1,X2),sK13(X0,X1,X2)) = X0
        & varrow(sK14(X0,X1,X2),sK15(X0,X1,X2)) = X1
        & vtcheck(vbind(sK12(X0,X1,X2),sK14(X0,X1,X2),X2),sK13(X0,X1,X2),sK15(X0,X1,X2)) )
      | sP0(X0,X1,X2)
      | ~ vtcheck(X2,X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15]),skolemize(X3,sK11(X0,X1,X2)),skolemize(X4,sK12(X0,X1,X2)),skolemize(X5,sK13(X0,X1,X2)),skolemize(X6,sK14(X0,X1,X2)),skolemize(X7,sK15(X0,X1,X2))],[f85]) ).

fof(f101,plain,
    vtcheck(sK5,vvar(sK6),sK7),
    inference(cnf_transformation,[],[f89]) ).

fof(f102,plain,
    vnoType = vlookup(sK3,sK5),
    inference(cnf_transformation,[],[f89]) ).

fof(f103,plain,
    ~ vtcheck(vbind(sK3,sK4,sK5),vvar(sK6),sK7),
    inference(cnf_transformation,[],[f89]) ).

fof(f104,plain,
    ! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] : vvar(X0) != vabs(X1,X2,X3),
    inference(cnf_transformation,[],[f4]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( vvar(X0) != vvar(X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f63]) ).

fof(f110,plain,
    ! [X2,X0,X1] :
      ( ~ sP0(X0,X1,X2)
      | vapp(sK8(X0,X1,X2),sK9(X0,X1,X2)) = X0 ),
    inference(cnf_transformation,[],[f92]) ).

fof(f113,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X0,X1)
      | vabs(sK12(X0,X1,X2),sK14(X0,X1,X2),sK13(X0,X1,X2)) = X0
      | sP0(X0,X1,X2)
      | vsomeType(X1) = vlookup(sK11(X0,X1,X2),X2) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ~ vtcheck(X2,X0,X1)
      | vabs(sK12(X0,X1,X2),sK14(X0,X1,X2),sK13(X0,X1,X2)) = X0
      | sP0(X0,X1,X2)
      | vvar(sK11(X0,X1,X2)) = X0 ),
    inference(cnf_transformation,[],[f93]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( vsomeType(X2) != vlookup(X1,X0)
      | vtcheck(X0,vvar(X1),X2) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f138,plain,
    ! [X0] : vnoType != vsomeType(X0),
    inference(cnf_transformation,[],[f18]) ).

fof(f140,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( vlookup(X5,X6) = X4
      | vlookup(X2,X3) != X4
      | X1 = X5
      | X2 != X5
      | vbind(X1,X0,X6) != X3 ),
    inference(cnf_transformation,[],[f81]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1,X6,X5] :
      ( vlookup(X2,X3) = vlookup(X5,X6)
      | X1 = X5
      | X2 != X5
      | vbind(X1,X0,X6) != X3 ),
    inference(equality_resolution,[],[f140]) ).

fof(f154,plain,
    ! [X3,X0,X1,X6,X5] :
      ( vlookup(X5,X6) = vlookup(X5,X3)
      | X1 = X5
      | vbind(X1,X0,X6) != X3 ),
    inference(equality_resolution,[],[f153]) ).

fof(f155,plain,
    ! [X0,X1,X6,X5] :
      ( vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6))
      | X1 = X5 ),
    inference(equality_resolution,[],[f154]) ).

fof(f175,plain,
    vsomeType(sK7) != vlookup(sK6,vbind(sK3,sK4,sK5)),
    inference(unit_resulting_resolution,[],[f119,f103]) ).

fof(f311,plain,
    ( vsomeType(sK7) != vlookup(sK6,sK5)
    | sK3 = sK6 ),
    inference(superposition,[],[f175,f155]) ).

fof(f319,definition,
    ( spl25_1
  <=> sK3 = sK6 ),
    introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).

fof(f321,plain,
    ( sK3 = sK6
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f350,definition,
    ( spl25_8
  <=> vsomeType(sK7) = vlookup(sK6,sK5) ),
    introduced(definition,[new_symbols(definition,[spl25_8])],[avatar_definition]) ).

fof(f352,plain,
    ( vsomeType(sK7) != vlookup(sK6,sK5)
    | spl25_8 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f353,plain,
    ( spl25_1
    | ~ spl25_8 ),
    inference(avatar_split_clause,[],[f311,f350,f319]) ).

fof(f374,plain,
    ! [X2,X0,X1] : ~ sP0(vvar(X0),X1,X2),
    inference(unit_resulting_resolution,[],[f110,f104]) ).

fof(f504,plain,
    ( vtcheck(sK5,vvar(sK3),sK7)
    | ~ spl25_1 ),
    inference(superposition,[],[f101,f321]) ).

fof(f551,plain,
    vsomeType(sK7) = vlookup(sK11(vvar(sK6),sK7,sK5),sK5),
    inference(unit_resulting_resolution,[],[f113,f101,f105,f374]) ).

fof(f552,plain,
    ( vsomeType(sK7) = vlookup(sK11(vvar(sK3),sK7,sK5),sK5)
    | ~ spl25_1 ),
    inference(unit_resulting_resolution,[],[f113,f504,f105,f374]) ).

fof(f553,plain,
    vvar(sK6) = vvar(sK11(vvar(sK6),sK7,sK5)),
    inference(unit_resulting_resolution,[],[f116,f101,f105,f374]) ).

fof(f554,plain,
    ( vvar(sK3) = vvar(sK11(vvar(sK3),sK7,sK5))
    | ~ spl25_1 ),
    inference(unit_resulting_resolution,[],[f116,f504,f105,f374]) ).

fof(f896,plain,
    ( sK3 = sK11(vvar(sK3),sK7,sK5)
    | ~ spl25_1 ),
    inference(unit_resulting_resolution,[],[f107,f554]) ).

fof(f972,plain,
    ( vlookup(sK3,sK5) = vsomeType(sK7)
    | ~ spl25_1 ),
    inference(superposition,[],[f552,f896]) ).

fof(f981,plain,
    ( vnoType = vsomeType(sK7)
    | ~ spl25_1 ),
    inference(forward_demodulation,[],[f972,f102]) ).

fof(f986,plain,
    ( $false
    | ~ spl25_1 ),
    inference(forward_subsumption_resolution,[],[f981,f138]) ).

fof(f987,plain,
    ~ spl25_1,
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f1144,plain,
    sK6 = sK11(vvar(sK6),sK7,sK5),
    inference(unit_resulting_resolution,[],[f107,f553]) ).

fof(f1247,plain,
    vsomeType(sK7) = vlookup(sK6,sK5),
    inference(superposition,[],[f551,f1144]) ).

fof(f1264,plain,
    ( $false
    | spl25_8 ),
    inference(forward_subsumption_resolution,[],[f1247,f352]) ).

fof(f1265,plain,
    spl25_8,
    inference(avatar_contradiction_clause,[],[f1264]) ).

cnf(s7,plain,
    ( spl25_1
    | ~ spl25_8 ),
    inference(sat_conversion,[],[f353]) ).

cnf(s13,plain,
    ~ spl25_1,
    inference(sat_conversion,[],[f987]) ).

cnf(s17,plain,
    spl25_8,
    inference(sat_conversion,[],[f1265]) ).

cnf(s23,plain,
    $false,
    inference(rat,[],[s7,s17,s13]) ).

fof(f1297,plain,
    $false,
    inference(avatar_sat_refutation,[],[s23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : COM143+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 21:55:34 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12  Running first-order theorem proving
% 0.08/0.12  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.75/0.71  % (3825758)Detected formulas, will run a generic FOF schedule.
% 2.75/0.71  % (3825764)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=2452562670:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.75/0.71  % (3825765)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=970180324:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.75/0.71  % (3825768)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3360911010:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.75/0.71  % (3825766)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1733731152:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.75/0.71  % (3825763)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=3479647754:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.75/0.71  % (3825769)dis-21_1_sil=8000:lcm=predicate:random_seed=3438864701: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)
% 2.75/0.71  % (3825767)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2515246494:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.75/0.71  % (3825766)Refutation not found, incomplete strategy
% 2.75/0.71  % (3825766)------------------------------
% 2.75/0.71  % (3825766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/0.71  % (3825766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.71  % (3825766)CaDiCaL version: 2.1.3
% 2.75/0.71  % (3825766)Termination reason: Refutation not found, incomplete strategy
% 2.75/0.71  % (3825766)Time elapsed: 0.001 s
% 2.75/0.71  % (3825766)Peak memory usage: 88 MB
% 2.75/0.71  % (3825766)Instructions burned: 1 (million)
% 2.75/0.71  % (3825767)Instruction limit reached! 
% 2.75/0.71  % (3825767)------------------------------
% 2.75/0.71  % (3825767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/0.71  % (3825767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.71  % (3825767)CaDiCaL version: 2.1.3
% 2.75/0.71  % (3825767)Termination reason: Instruction limit
% 2.75/0.71  % (3825767)Termination phase: Saturation
% 2.75/0.71  % (3825767)Time elapsed: 0.030 s
% 2.75/0.71  % (3825767)Peak memory usage: 90 MB
% 2.75/0.71  % (3825767)Instructions burned: 119 (million)
% 2.75/0.71  % (3825769)Instruction limit reached! 
% 2.75/0.71  % (3825769)------------------------------
% 2.75/0.71  % (3825769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/0.71  % (3825769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.71  % (3825769)CaDiCaL version: 2.1.3
% 2.75/0.71  % (3825769)Termination reason: Instruction limit
% 2.75/0.71  % (3825769)Termination phase: Saturation
% 2.75/0.71  % (3825769)Time elapsed: 0.038 s
% 2.75/0.71  % (3825769)Peak memory usage: 89 MB
% 2.75/0.71  % (3825769)Instructions burned: 130 (million)
% 2.75/0.71  % (3825768)Instruction limit reached! 
% 2.75/0.71  % (3825768)------------------------------
% 2.75/0.71  % (3825768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/0.71  % (3825768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/0.71  % (3825768)CaDiCaL version: 2.1.3
% 2.75/0.71  % (3825768)Termination reason: Instruction limit
% 2.75/0.71  % (3825768)Termination phase: Saturation
% 2.75/0.71  % (3825768)Time elapsed: 0.046 s
% 2.75/0.71  % (3825768)Peak memory usage: 90 MB
% 2.75/0.71  % (3825768)Instructions burned: 141 (million)
% 2.75/0.71  % (3825777)lrs+10_1_sil=8000:sp=occurrence:random_seed=1233007540:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.75/0.71  % (3825778)lrs+10_1_sil=32000:urr=on:br=off:random_seed=695423785:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.75/0.71  % (3825779)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2309095469:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 2.75/0.71  % (3825778)First to succeed.
% 2.75/0.71  % (3825778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3825758"
% 2.75/0.71  % (3825777)Also succeeded, but the first one will report.
% 2.75/0.71  % (3825766)------------------------------
% 2.75/0.71  % (3825766)------------------------------
% 3.10/0.81  % (3825779)Also succeeded, but the first one will report.
% 3.10/0.81  % (3825783)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2658816801:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.10/0.81  % (3825778)Refutation found. Thanks to Tanya!
% 3.10/0.81  % SZS status Theorem for theBenchmark
% 3.10/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 3.10/0.81  % (3825778)------------------------------
% 3.10/0.81  % (3825778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/0.81  % (3825778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.81  % (3825778)CaDiCaL version: 2.1.3
% 3.10/0.81  % (3825778)Termination reason: Refutation
% 3.10/0.81  % (3825778)Time elapsed: 0.024 s
% 3.10/0.81  % (3825778)Peak memory usage: 91 MB
% 3.10/0.81  % (3825778)Instructions burned: 64 (million)
% 3.10/0.81  % (3825778)------------------------------
% 3.10/0.81  % (3825778)------------------------------
% 3.10/0.81  % (3825758)Success in time 0.407 s
% 3.10/0.81  % Vampire exiting
%------------------------------------------------------------------------------