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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM494+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 12:15:26 PM UTC 2026

% Result   : Theorem 2.50s 1.28s
% Output   : Refutation 3.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   59 (  13 unt;   0 def)
%            Number of atoms       :  214 (  59 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  282 ( 127   ~; 112   |;  31   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   64 (  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
          | sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( sdtlseqdt0(X0,X1)
       => ! [X2] :
            ( X2 = sdtmndt0(X1,X0)
          <=> ( aNaturalNumber0(X2)
              & sdtpldt0(X0,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X0)
        & aNaturalNumber0(X1) )
     => ( ( X0 != X1
          & sdtlseqdt0(X0,X1) )
       => ! [X2] :
            ( aNaturalNumber0(X2)
           => ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
              & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
              & sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
              & sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).

fof(f39,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(f42,axiom,
    sdtlseqdt0(xp,xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).

fof(f43,axiom,
    xr = sdtmndt0(xn,xp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).

fof(f44,axiom,
    ( xr != xn
    & sdtlseqdt0(xr,xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1894) ).

fof(f46,conjecture,
    ( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
    & sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f47,negated_conjecture,
    ~ ( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
      & sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(negated_conjecture,[status(cth)],[f46]) ).

fof(f52,plain,
    ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
            & sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
          | ~ aNaturalNumber0(X2) )
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
            & sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
            & sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
            & sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
          | ~ aNaturalNumber0(X2) )
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f53]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        & sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
        & sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f59]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(flattening,[],[f64]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f68]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( X2 = sdtmndt0(X1,X0)
        <=> ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( X2 = sdtmndt0(X1,X0)
        <=> ( aNaturalNumber0(X2)
            & sdtpldt0(X0,X2) = X1 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f103]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X2 = sdtmndt0(X1,X0)
            | ~ aNaturalNumber0(X2)
            | sdtpldt0(X0,X2) != X1 )
          & ( ( aNaturalNumber0(X2)
              & sdtpldt0(X0,X2) = X1 )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(nnf_transformation,[],[f104]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X2 = sdtmndt0(X1,X0)
            | ~ aNaturalNumber0(X2)
            | sdtpldt0(X0,X2) != X1 )
          & ( ( aNaturalNumber0(X2)
              & sdtpldt0(X0,X2) = X1 )
            | sdtmndt0(X1,X0) != X2 ) )
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f124]) ).

fof(f126,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f127,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f128,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f132,plain,
    sdtlseqdt0(xp,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f133,plain,
    xr = sdtmndt0(xn,xp),
    inference(cnf_transformation,[],[f43]) ).

fof(f134,plain,
    sdtlseqdt0(xr,xn),
    inference(cnf_transformation,[],[f44]) ).

fof(f135,plain,
    xn != xr,
    inference(cnf_transformation,[],[f44]) ).

fof(f137,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X2)
      | X0 = X1
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
      | X1 = X2
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f188,plain,
    ! [X2,X0,X1] :
      ( aNaturalNumber0(X2)
      | sdtmndt0(X1,X0) != X2
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtmndt0(X1,X0))
      | ~ sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(equality_resolution,[],[f188]) ).

fof(f359,plain,
    ( aNaturalNumber0(xr)
    | ~ sdtlseqdt0(xp,xn)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn) ),
    inference(superposition,[],[f208,f133]) ).

fof(f360,plain,
    ( aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn) ),
    inference(forward_subsumption_resolution,[],[f359,f132]) ).

fof(f361,plain,
    ( aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xn) ),
    inference(forward_subsumption_resolution,[],[f360,f126]) ).

fof(f362,plain,
    aNaturalNumber0(xr),
    inference(forward_subsumption_resolution,[],[f361,f128]) ).

fof(f731,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp)))
    | sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(xn,sdtpldt0(xm,xp))
    | ~ aNaturalNumber0(xn)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[],[f137,f153]) ).

fof(f785,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp)))
    | sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(xn,sdtpldt0(xm,xp))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp) ),
    inference(forward_subsumption_resolution,[],[f731,f128]) ).

fof(f816,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp)))
    | sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(xn,sdtpldt0(xm,xp))
    | ~ aNaturalNumber0(xp) ),
    inference(forward_subsumption_resolution,[],[f785,f127]) ).

fof(f839,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(xn,sdtpldt0(xm,xp)))
    | sdtpldt0(sdtpldt0(xr,xm),xp) = sdtpldt0(xn,sdtpldt0(xm,xp)) ),
    inference(forward_subsumption_resolution,[],[f816,f126]) ).

fof(f857,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))
    | sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xr,sdtpldt0(xm,xp))
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[],[f839,f153]) ).

fof(f862,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))
    | sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xr,sdtpldt0(xm,xp))
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp) ),
    inference(forward_subsumption_resolution,[],[f857,f362]) ).

fof(f863,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))
    | sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xr,sdtpldt0(xm,xp))
    | ~ aNaturalNumber0(xp) ),
    inference(forward_subsumption_resolution,[],[f862,f127]) ).

fof(f864,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xr,sdtpldt0(xm,xp)),sdtpldt0(xn,sdtpldt0(xm,xp)))
    | sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xr,sdtpldt0(xm,xp)) ),
    inference(forward_subsumption_resolution,[],[f863,f126]) ).

fof(f1028,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xp))
    | xn = xr
    | ~ sdtlseqdt0(xr,xn)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xn)
    | sdtpldt0(xn,sdtpldt0(xm,xp)) = sdtpldt0(xr,sdtpldt0(xm,xp)) ),
    inference(resolution,[],[f138,f864]) ).

fof(f1073,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xp))
    | xn = xr
    | ~ sdtlseqdt0(xr,xn)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xn) ),
    inference(forward_subsumption_resolution,[],[f1028,f147]) ).

fof(f1077,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xp))
    | ~ sdtlseqdt0(xr,xn)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xn) ),
    inference(forward_subsumption_resolution,[],[f1073,f135]) ).

fof(f1081,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xp))
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xn) ),
    inference(forward_subsumption_resolution,[],[f1077,f134]) ).

fof(f1082,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xp))
    | ~ aNaturalNumber0(xn) ),
    inference(forward_subsumption_resolution,[],[f1081,f362]) ).

fof(f1083,plain,
    ~ aNaturalNumber0(sdtpldt0(xm,xp)),
    inference(forward_subsumption_resolution,[],[f1082,f128]) ).

fof(f1084,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp) ),
    inference(resolution,[],[f1083,f155]) ).

fof(f1085,plain,
    ~ aNaturalNumber0(xp),
    inference(forward_subsumption_resolution,[],[f1084,f127]) ).

fof(f1086,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1085,f126]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM494+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 20:13:41 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  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
% 2.50/1.28  % (3179318)Detected formulas, will run a generic FOF schedule.
% 2.50/1.28  % (3179323)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=3958920850:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/1.28  % (3179324)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=2531067958:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/1.28  % (3179326)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2234979487:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/1.28  % (3179329)dis-21_1_sil=8000:lcm=predicate:random_seed=1378886333: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)
% 2.50/1.28  % (3179325)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=2054429519:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/1.28  % (3179327)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2455371689:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/1.28  % (3179328)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1945645311:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/1.28  % (3179327)First to succeed.
% 2.50/1.28  % (3179327)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3179318"
% 2.50/1.28  % (3179326)Instruction limit reached! 
% 2.50/1.28  % (3179326)------------------------------
% 2.50/1.28  % (3179326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (3179326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (3179326)CaDiCaL version: 2.1.3
% 2.50/1.28  % (3179326)Termination reason: Instruction limit
% 2.50/1.28  % (3179326)Termination phase: Saturation
% 2.50/1.28  % (3179326)Time elapsed: 0.062 s
% 2.50/1.28  % (3179326)Peak memory usage: 89 MB
% 2.50/1.28  % (3179326)Instructions burned: 109 (million)
% 2.50/1.28  % (3179329)Instruction limit reached! 
% 2.50/1.28  % (3179329)------------------------------
% 2.50/1.28  % (3179329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (3179329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (3179329)CaDiCaL version: 2.1.3
% 2.50/1.28  % (3179329)Termination reason: Instruction limit
% 2.50/1.28  % (3179329)Termination phase: Saturation
% 2.50/1.28  % (3179329)Time elapsed: 0.082 s
% 2.50/1.28  % (3179329)Peak memory usage: 90 MB
% 2.50/1.28  % (3179329)Instructions burned: 130 (million)
% 2.50/1.28  % (3179328)Instruction limit reached! 
% 2.50/1.28  % (3179328)------------------------------
% 2.50/1.28  % (3179328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (3179328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (3179328)CaDiCaL version: 2.1.3
% 2.50/1.28  % (3179328)Termination reason: Instruction limit
% 2.50/1.28  % (3179328)Termination phase: Saturation
% 2.50/1.28  % (3179328)Time elapsed: 0.094 s
% 2.50/1.28  % (3179328)Peak memory usage: 90 MB
% 2.50/1.28  % (3179328)Instructions burned: 139 (million)
% 2.50/1.28  % (3179337)lrs+10_1_sil=8000:sp=occurrence:random_seed=2873322409:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.50/1.28  % (3179338)lrs+10_1_sil=32000:urr=on:br=off:random_seed=976079636:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.50/1.28  % (3179339)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3638788453:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.50/1.28  % (3179327)Refutation found. Thanks to Tanya!
% 2.50/1.28  % SZS status Theorem for theBenchmark
% 2.50/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.44/1.38  % (3179327)------------------------------
% 3.44/1.38  % (3179327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.44/1.38  % (3179327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.44/1.38  % (3179327)CaDiCaL version: 2.1.3
% 3.44/1.38  % (3179327)Termination reason: Refutation
% 3.44/1.38  % (3179327)Time elapsed: 0.022 s
% 3.44/1.38  % (3179327)Peak memory usage: 88 MB
% 3.44/1.38  % (3179327)Instructions burned: 35 (million)
% 3.44/1.38  % (3179327)------------------------------
% 3.44/1.38  % (3179327)------------------------------
% 3.44/1.38  % (3179318)Success in time 0.418 s
% 3.44/1.38  % Vampire exiting
%------------------------------------------------------------------------------