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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : RNG076+2 : 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 : n009.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 12:35:25 PM UTC 2026

% Result   : Theorem 2.70s 1.30s
% Output   : Refutation 3.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   60 (  18 unt;   0 def)
%            Number of atoms       :  189 (   7 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  265 ( 136   ~; 111   |;  13   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  13 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X0)
        & aScalar0(X1) )
     => aScalar0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).

fof(f20,axiom,
    ! [X0] :
      ( aScalar0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X0)
        & aScalar0(X1)
        & aScalar0(X2)
        & aScalar0(X3) )
     => ( ( sdtlseqdt0(X0,X1)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).

fof(f46,axiom,
    ( aScalar0(xC)
    & xC = sdtasasdt0(xp,xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).

fof(f47,axiom,
    ( aScalar0(xD)
    & xD = sdtasasdt0(xq,xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).

fof(f48,axiom,
    ( aScalar0(xE)
    & xE = sdtasasdt0(xp,xq) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).

fof(f51,axiom,
    ( aScalar0(xH)
    & xH = sdtasdt0(xA,xB) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).

fof(f52,axiom,
    ( aScalar0(xR)
    & xR = sdtasdt0(xC,xG) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

fof(f53,axiom,
    ( aScalar0(xP)
    & xP = sdtasdt0(xE,xH) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).

fof(f54,axiom,
    ( aScalar0(xS)
    & xS = sdtasdt0(xF,xD) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

fof(f56,axiom,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).

fof(f57,axiom,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).

fof(f58,conjecture,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f59,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    inference(negated_conjecture,[status(cth)],[f58]) ).

fof(f60,plain,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    inference(flattening,[],[f59]) ).

fof(f77,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f78]) ).

fof(f99,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X2,X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X2,X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3) ),
    inference(flattening,[],[f99]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(flattening,[],[f107]) ).

fof(f139,plain,
    aScalar0(xC),
    inference(cnf_transformation,[],[f46]) ).

fof(f141,plain,
    aScalar0(xD),
    inference(cnf_transformation,[],[f47]) ).

fof(f143,plain,
    aScalar0(xE),
    inference(cnf_transformation,[],[f48]) ).

fof(f149,plain,
    aScalar0(xH),
    inference(cnf_transformation,[],[f51]) ).

fof(f151,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f153,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f155,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f158,plain,
    sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
    inference(cnf_transformation,[],[f56]) ).

fof(f159,plain,
    sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f57]) ).

fof(f160,plain,
    ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
    inference(cnf_transformation,[],[f60]) ).

fof(f165,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( aScalar0(sdtasdt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f185,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
      | ~ sdtlseqdt0(X0,X1)
      | ~ sdtlseqdt0(X2,X3)
      | ~ aScalar0(X0)
      | ~ aScalar0(X1)
      | ~ aScalar0(X2)
      | ~ aScalar0(X3) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X0)
      | ~ aScalar0(X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f815,plain,
    ( ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
    | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
    inference(resolution,[],[f185,f160]) ).

fof(f850,plain,
    ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
    inference(forward_subsumption_resolution,[],[f815,f158]) ).

fof(f858,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(resolution,[],[f850,f185]) ).

fof(f866,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(duplicate_literal_removal,[],[f858]) ).

fof(f869,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(forward_subsumption_resolution,[],[f866,f193]) ).

fof(f871,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(forward_subsumption_resolution,[],[f869,f193]) ).

fof(f872,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xH,xH)) ),
    inference(forward_subsumption_resolution,[],[f871,f159]) ).

fof(f873,plain,
    ( ~ aScalar0(sdtasdt0(xH,xH))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xE,xE)) ),
    inference(forward_subsumption_resolution,[],[f872,f165]) ).

fof(f874,plain,
    ( ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(xH)
    | ~ aScalar0(xH) ),
    inference(resolution,[],[f873,f166]) ).

fof(f875,plain,
    ( ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(xH) ),
    inference(duplicate_literal_removal,[],[f874]) ).

fof(f876,plain,
    ( ~ aScalar0(sdtasdt0(xE,xE))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xC,xD)) ),
    inference(forward_subsumption_resolution,[],[f875,f149]) ).

fof(f887,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(xE)
    | ~ aScalar0(xE) ),
    inference(resolution,[],[f876,f166]) ).

fof(f888,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(xE) ),
    inference(duplicate_literal_removal,[],[f887]) ).

fof(f889,plain,
    ( ~ aScalar0(sdtasdt0(xC,xD))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(forward_subsumption_resolution,[],[f888,f143]) ).

fof(f959,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(xC)
    | ~ aScalar0(xD) ),
    inference(resolution,[],[f889,f166]) ).

fof(f960,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(xD) ),
    inference(forward_subsumption_resolution,[],[f959,f139]) ).

fof(f961,plain,
    ( ~ aScalar0(sdtpldt0(xP,xP))
    | ~ aScalar0(sdtpldt0(xR,xS)) ),
    inference(forward_subsumption_resolution,[],[f960,f141]) ).

fof(f962,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(xP)
    | ~ aScalar0(xP) ),
    inference(resolution,[],[f961,f193]) ).

fof(f963,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(xP) ),
    inference(duplicate_literal_removal,[],[f962]) ).

fof(f964,plain,
    ~ aScalar0(sdtpldt0(xR,xS)),
    inference(forward_subsumption_resolution,[],[f963,f153]) ).

fof(f966,plain,
    ( ~ aScalar0(xR)
    | ~ aScalar0(xS) ),
    inference(resolution,[],[f964,f193]) ).

fof(f967,plain,
    ~ aScalar0(xS),
    inference(forward_subsumption_resolution,[],[f966,f151]) ).

fof(f968,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f967,f155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : RNG076+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n009.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 27 23:09:45 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  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
% 2.70/1.30  % (2512044)Detected formulas, will run a generic FOF schedule.
% 2.70/1.30  % (2512054)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3083939098:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.30  % (2512053)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3646286202:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.30  % (2512050)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=1575365253:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.30  % (2512049)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=667656471:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.30  % (2512052)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2499536786:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.30  % (2512055)dis-21_1_sil=8000:lcm=predicate:random_seed=3718096452: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)
% 2.70/1.30  % (2512051)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=537565191:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.30  % (2512053)First to succeed.
% 2.70/1.30  % (2512053)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2512044"
% 2.70/1.30  % (2512054)Instruction limit reached! 
% 2.70/1.30  % (2512054)------------------------------
% 2.70/1.30  % (2512054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.30  % (2512054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.30  % (2512054)CaDiCaL version: 2.1.3
% 2.70/1.30  % (2512054)Termination reason: Instruction limit
% 2.70/1.30  % (2512054)Termination phase: Saturation
% 2.70/1.30  % (2512054)Time elapsed: 0.049 s
% 2.70/1.30  % (2512054)Peak memory usage: 90 MB
% 2.70/1.30  % (2512054)Instructions burned: 141 (million)
% 2.70/1.30  % (2512052)Also succeeded, but the first one will report.
% 2.70/1.30  % (2512055)Instruction limit reached! 
% 2.70/1.30  % (2512055)------------------------------
% 2.70/1.30  % (2512055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.30  % (2512055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.30  % (2512055)CaDiCaL version: 2.1.3
% 2.70/1.30  % (2512055)Termination reason: Instruction limit
% 2.70/1.30  % (2512055)Termination phase: Saturation
% 2.70/1.30  % (2512055)Time elapsed: 0.058 s
% 2.70/1.30  % (2512055)Peak memory usage: 89 MB
% 2.70/1.30  % (2512055)Instructions burned: 129 (million)
% 2.70/1.30  % (2512063)lrs+10_1_sil=8000:sp=occurrence:random_seed=871011272:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.70/1.30  % (2512063)Also succeeded, but the first one will report.
% 2.70/1.30  % (2512064)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1655653957:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.70/1.30  % (2512053)Refutation found. Thanks to Tanya!
% 2.70/1.30  % SZS status Theorem for theBenchmark
% 2.70/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.50  % (2512053)------------------------------
% 3.77/1.50  % (2512053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.50  % (2512053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.50  % (2512053)CaDiCaL version: 2.1.3
% 3.77/1.50  % (2512053)Termination reason: Refutation
% 3.77/1.50  % (2512053)Time elapsed: 0.020 s
% 3.77/1.50  % (2512053)Peak memory usage: 88 MB
% 3.77/1.50  % (2512053)Instructions burned: 31 (million)
% 3.77/1.50  % (2512053)------------------------------
% 3.77/1.50  % (2512053)------------------------------
% 3.77/1.50  % (2512044)Success in time 0.462 s
% 3.77/1.50  % Vampire exiting
%------------------------------------------------------------------------------