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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM611+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 12:25:00 PM UTC 2026

% Result   : Theorem 7.67s 1.94s
% Output   : Refutation 7.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   88 (  37 unt;   3 def)
%            Number of atoms       :  231 (  54 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  230 (  87   ~;  78   |;  46   &)
%                                         (   7 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   47 (   0 sgn  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,axiom,
    ! [X0] :
      ( ( aSet0(X0)
        & isFinite0(X0) )
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
         => isFinite0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X0,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).

fof(f41,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      <=> isFinite0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).

fof(f44,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( ( isFinite0(X0)
            & aElementOf0(X1,X0) )
         => szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).

fof(f80,axiom,
    ( aElementOf0(xk,szNzAzT0)
    & szszuzczcdt0(xk) = xK ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).

fof(f99,axiom,
    ( aSet0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xO) )
    & aSubsetOf0(xQ,xO)
    & sbrdtbr0(xQ) = xK
    & aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).

fof(f103,axiom,
    ( aElementOf0(xp,xQ)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(xp,X0) )
    & xp = szmzizndt0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

fof(f104,axiom,
    ( aSet0(xP)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(szmzizndt0(xQ),X0) )
    & ! [X0] :
        ( aElementOf0(X0,xP)
      <=> ( aElement0(X0)
          & aElementOf0(X0,xQ)
          & X0 != szmzizndt0(xQ) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).

fof(f105,axiom,
    aElementOf0(xp,xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).

fof(f107,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,xP)
       => aElementOf0(X0,xQ) )
    & aSubsetOf0(xP,xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).

fof(f109,conjecture,
    sbrdtbr0(xP) = xk,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f110,negated_conjecture,
    sbrdtbr0(xP) != xk,
    inference(negated_conjecture,[status(cth)],[f109]) ).

fof(f132,plain,
    ( aSet0(xP)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(szmzizndt0(xQ),X0) )
    & ! [X1] :
        ( aElementOf0(X1,xP)
      <=> ( aElement0(X1)
          & aElementOf0(X1,xQ)
          & szmzizndt0(xQ) != X1 ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(rectify,[],[f104]) ).

fof(f133,plain,
    xk != sbrdtbr0(xP),
    inference(flattening,[],[f110]) ).

fof(f141,plain,
    ! [X0] :
      ( ! [X1] :
          ( isFinite0(X1)
          | ~ aSubsetOf0(X1,X0) )
      | ~ aSet0(X0)
      | ~ isFinite0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f142,plain,
    ! [X0] :
      ( ! [X1] :
          ( isFinite0(X1)
          | ~ aSubsetOf0(X1,X0) )
      | ~ aSet0(X0)
      | ~ isFinite0(X0) ),
    inference(flattening,[],[f141]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( X0 = X1
      | szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(flattening,[],[f164]) ).

fof(f183,plain,
    ! [X0] :
      ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      <=> isFinite0(X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f187,plain,
    ! [X0] :
      ( ! [X1] :
          ( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
          | ~ isFinite0(X0)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f188,plain,
    ! [X0] :
      ( ! [X1] :
          ( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
          | ~ isFinite0(X0)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f187]) ).

fof(f262,plain,
    ( aSet0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,xO)
        | ~ aElementOf0(X0,xQ) )
    & aSubsetOf0(xQ,xO)
    & sbrdtbr0(xQ) = xK
    & aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f267,plain,
    ( aElementOf0(xp,xQ)
    & ! [X0] :
        ( sdtlseqdt0(xp,X0)
        | ~ aElementOf0(X0,xQ) )
    & xp = szmzizndt0(xQ) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f268,plain,
    ( aSet0(xP)
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(xQ),X0)
        | ~ aElementOf0(X0,xQ) )
    & ! [X1] :
        ( aElementOf0(X1,xP)
      <=> ( aElement0(X1)
          & aElementOf0(X1,xQ)
          & szmzizndt0(xQ) != X1 ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f269,plain,
    ( ! [X0] :
        ( aElementOf0(X0,xQ)
        | ~ aElementOf0(X0,xP) )
    & aSubsetOf0(xP,xQ) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f326,plain,
    ! [X0] :
      ( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
          | ~ isFinite0(X0) )
        & ( isFinite0(X0)
          | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f183]) ).

fof(f452,plain,
    ( aSet0(xP)
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(xQ),X0)
        | ~ aElementOf0(X0,xQ) )
    & ! [X1] :
        ( ( aElementOf0(X1,xP)
          | ~ aElement0(X1)
          | ~ aElementOf0(X1,xQ)
          | szmzizndt0(xQ) = X1 )
        & ( ( aElement0(X1)
            & aElementOf0(X1,xQ)
            & szmzizndt0(xQ) != X1 )
          | ~ aElementOf0(X1,xP) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(nnf_transformation,[],[f268]) ).

fof(f453,plain,
    ( aSet0(xP)
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(xQ),X0)
        | ~ aElementOf0(X0,xQ) )
    & ! [X1] :
        ( ( aElementOf0(X1,xP)
          | ~ aElement0(X1)
          | ~ aElementOf0(X1,xQ)
          | szmzizndt0(xQ) = X1 )
        & ( ( aElement0(X1)
            & aElementOf0(X1,xQ)
            & szmzizndt0(xQ) != X1 )
          | ~ aElementOf0(X1,xP) ) )
    & xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
    inference(flattening,[],[f452]) ).

fof(f466,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | isFinite0(X1)
      | ~ aSet0(X0)
      | ~ isFinite0(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f505,plain,
    ! [X0,X1] :
      ( szszuzczcdt0(X0) != szszuzczcdt0(X1)
      | X0 = X1
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f520,plain,
    ! [X0] :
      ( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
      | isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f326]) ).

fof(f521,plain,
    ! [X0] :
      ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f326]) ).

fof(f525,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | ~ isFinite0(X0)
      | sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f600,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f653,plain,
    xK = szszuzczcdt0(xk),
    inference(cnf_transformation,[],[f80]) ).

fof(f654,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[],[f80]) ).

fof(f848,plain,
    xK = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f262]) ).

fof(f851,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f262]) ).

fof(f862,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f267]) ).

fof(f865,plain,
    xP = sdtmndt0(xQ,szmzizndt0(xQ)),
    inference(cnf_transformation,[],[f453]) ).

fof(f871,plain,
    aSet0(xP),
    inference(cnf_transformation,[],[f453]) ).

fof(f872,plain,
    aElementOf0(xp,xQ),
    inference(cnf_transformation,[],[f105]) ).

fof(f875,plain,
    aSubsetOf0(xP,xQ),
    inference(cnf_transformation,[],[f269]) ).

fof(f879,plain,
    xk != sbrdtbr0(xP),
    inference(cnf_transformation,[],[f133]) ).

fof(f939,definition,
    sF73 = sbrdtbr0(xP),
    introduced(definition,[new_symbols(definition,[sF73])],[function_definition]) ).

fof(f940,plain,
    sbrdtbr0(xP) = sF73,
    inference(reorient_equations,[],[f939]) ).

fof(f941,plain,
    xk != sF73,
    inference(definition_folding,[],[f879,f940]) ).

fof(f946,plain,
    aSet0(sdtmndt0(xQ,szmzizndt0(xQ))),
    inference(forward_demodulation,[],[f871,f865]) ).

fof(f967,plain,
    sF73 = sbrdtbr0(sdtmndt0(xQ,szmzizndt0(xQ))),
    inference(forward_demodulation,[],[f940,f865]) ).

fof(f971,plain,
    aSet0(sdtmndt0(xQ,xp)),
    inference(forward_demodulation,[],[f946,f862]) ).

fof(f986,plain,
    sF73 = sbrdtbr0(sdtmndt0(xQ,xp)),
    inference(forward_demodulation,[],[f967,f862]) ).

fof(f1292,plain,
    ( ~ aElementOf0(xK,szNzAzT0)
    | isFinite0(xQ)
    | ~ aSet0(xQ) ),
    inference(superposition,[],[f520,f848]) ).

fof(f1296,plain,
    ( isFinite0(xQ)
    | ~ aSet0(xQ) ),
    inference(forward_subsumption_resolution,[],[f1292,f600]) ).

fof(f1298,definition,
    ( spl74_15
  <=> isFinite0(sdtmndt0(xQ,xp)) ),
    introduced(definition,[new_symbols(definition,[spl74_15])],[avatar_definition]) ).

fof(f1299,plain,
    ( ~ isFinite0(sdtmndt0(xQ,xp))
    | spl74_15 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1302,definition,
    ( spl74_16
  <=> aElementOf0(sF73,szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[spl74_16])],[avatar_definition]) ).

fof(f1303,plain,
    ( aElementOf0(sF73,szNzAzT0)
    | ~ spl74_16 ),
    inference(avatar_component_clause,[],[f1302]) ).

fof(f1304,plain,
    ( ~ aElementOf0(sF73,szNzAzT0)
    | spl74_16 ),
    inference(avatar_component_clause,[],[f1302]) ).

fof(f1306,plain,
    isFinite0(xQ),
    inference(forward_subsumption_resolution,[],[f1296,f851]) ).

fof(f1325,plain,
    ( aElementOf0(sF73,szNzAzT0)
    | ~ isFinite0(sdtmndt0(xQ,xp))
    | ~ aSet0(sdtmndt0(xQ,xp)) ),
    inference(superposition,[],[f521,f986]) ).

fof(f1327,plain,
    ( ~ isFinite0(sdtmndt0(xQ,xp))
    | ~ aSet0(sdtmndt0(xQ,xp))
    | spl74_16 ),
    inference(forward_subsumption_resolution,[],[f1325,f1304]) ).

fof(f1328,plain,
    ( ~ isFinite0(sdtmndt0(xQ,xp))
    | spl74_16 ),
    inference(forward_subsumption_resolution,[],[f1327,f971]) ).

fof(f1329,plain,
    ( ~ spl74_15
    | spl74_16 ),
    inference(avatar_split_clause,[],[f1328,f1302,f1298]) ).

fof(f1654,plain,
    ( isFinite0(xP)
    | ~ aSet0(xQ)
    | ~ isFinite0(xQ) ),
    inference(resolution,[],[f466,f875]) ).

fof(f1657,plain,
    ( isFinite0(xP)
    | ~ isFinite0(xQ) ),
    inference(forward_subsumption_resolution,[],[f1654,f851]) ).

fof(f1660,plain,
    isFinite0(xP),
    inference(forward_subsumption_resolution,[],[f1657,f1306]) ).

fof(f1663,plain,
    isFinite0(sdtmndt0(xQ,szmzizndt0(xQ))),
    inference(forward_demodulation,[],[f1660,f865]) ).

fof(f1666,plain,
    isFinite0(sdtmndt0(xQ,xp)),
    inference(forward_demodulation,[],[f1663,f862]) ).

fof(f1668,plain,
    ( $false
    | spl74_15 ),
    inference(forward_subsumption_resolution,[],[f1666,f1299]) ).

fof(f1669,plain,
    spl74_15,
    inference(avatar_contradiction_clause,[],[f1668]) ).

fof(f3564,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != xK
      | xk = X0
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(xk,szNzAzT0) ),
    inference(superposition,[],[f505,f653]) ).

fof(f3567,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != xK
      | xk = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(forward_subsumption_resolution,[],[f3564,f654]) ).

fof(f4345,plain,
    ( ~ isFinite0(xQ)
    | sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
    | ~ aSet0(xQ) ),
    inference(resolution,[],[f525,f872]) ).

fof(f4351,plain,
    ( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
    | ~ aSet0(xQ) ),
    inference(forward_subsumption_resolution,[],[f4345,f1306]) ).

fof(f4373,plain,
    sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp))),
    inference(forward_subsumption_resolution,[],[f4351,f851]) ).

fof(f4411,plain,
    sbrdtbr0(xQ) = szszuzczcdt0(sF73),
    inference(forward_demodulation,[],[f4373,f986]) ).

fof(f4424,plain,
    xK = szszuzczcdt0(sF73),
    inference(forward_demodulation,[],[f4411,f848]) ).

fof(f23465,plain,
    ( xK != xK
    | xk = sF73
    | ~ aElementOf0(sF73,szNzAzT0) ),
    inference(superposition,[],[f3567,f4424]) ).

fof(f23466,plain,
    ( xk = sF73
    | ~ aElementOf0(sF73,szNzAzT0) ),
    inference(trivial_inequality_removal,[],[f23465]) ).

fof(f23470,plain,
    ~ aElementOf0(sF73,szNzAzT0),
    inference(forward_subsumption_resolution,[],[f23466,f941]) ).

fof(f23473,plain,
    ( $false
    | ~ spl74_16 ),
    inference(forward_subsumption_resolution,[],[f23470,f1303]) ).

fof(f23474,plain,
    ~ spl74_16,
    inference(avatar_contradiction_clause,[],[f23473]) ).

cnf(s12,plain,
    ( ~ spl74_15
    | spl74_16 ),
    inference(sat_conversion,[],[f1329]) ).

cnf(s44,plain,
    spl74_15,
    inference(sat_conversion,[],[f1669]) ).

cnf(s720,plain,
    ~ spl74_16,
    inference(sat_conversion,[],[f23474]) ).

cnf(s776,plain,
    $false,
    inference(rat,[],[s12,s720,s44]) ).

fof(f23480,plain,
    $false,
    inference(avatar_sat_refutation,[],[s776]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM611+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38  % Computer : n013.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Sun Sep 27 20:44:37 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41  Running first-order model finding
% 0.09/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.67/1.94  % (533571)Will run a generic schedule for satisfiability detection.
% 7.67/1.94  % (533578)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3882743305:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.67/1.94  % (533577)% WARNING: option uhcvi not known.
% 7.67/1.94  % (533576)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3963341765_2999 on theBenchmark for (2999ds/0Mi)
% 7.67/1.94  % (533580)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=773474312:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.67/1.94  % (533577)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=21639914:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.67/1.94  % (533579)dis+10_1_sil=32000:sp=arity:random_seed=3559227520:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.67/1.94  % (533582)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=759402270:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.67/1.94  % (533581)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3371930875:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.67/1.94  % TRYING [1]
% 7.67/1.94  % TRYING [2]
% 7.67/1.94  % (533580)Instruction limit reached! 
% 7.67/1.94  % (533580)------------------------------
% 7.67/1.94  % (533580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533580)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533580)Termination reason: Instruction limit
% 7.67/1.94  % (533580)Termination phase: Saturation
% 7.67/1.94  % (533580)Time elapsed: 0.067 s
% 7.67/1.94  % (533580)Peak memory usage: 13 MB
% 7.67/1.94  % (533580)Instructions burned: 116 (million)
% 7.67/1.94  % (533579)Instruction limit reached! 
% 7.67/1.94  % (533579)------------------------------
% 7.67/1.94  % (533579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533579)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533579)Termination reason: Instruction limit
% 7.67/1.94  % (533579)Termination phase: Saturation
% 7.67/1.94  % (533579)Time elapsed: 0.068 s
% 7.67/1.94  % (533579)Peak memory usage: 13 MB
% 7.67/1.94  % (533579)Instructions burned: 104 (million)
% 7.67/1.94  % TRYING [3]
% 7.67/1.94  % (533590)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1730038163:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.67/1.94  % (533591)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=420437326:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.67/1.94  % (533581)Instruction limit reached! 
% 7.67/1.94  % (533581)------------------------------
% 7.67/1.94  % (533581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533581)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533581)Termination reason: Instruction limit
% 7.67/1.94  % (533581)Termination phase: Saturation
% 7.67/1.94  % (533581)Time elapsed: 0.096 s
% 7.67/1.94  % (533581)Peak memory usage: 14 MB
% 7.67/1.94  % (533581)Instructions burned: 131 (million)
% 7.67/1.94  % (533582)Instruction limit reached! 
% 7.67/1.94  % (533582)------------------------------
% 7.67/1.94  % (533582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533582)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533582)Termination reason: Instruction limit
% 7.67/1.94  % (533582)Termination phase: Saturation
% 7.67/1.94  % (533582)Time elapsed: 0.109 s
% 7.67/1.94  % (533582)Peak memory usage: 15 MB
% 7.67/1.94  % (533582)Instructions burned: 159 (million)
% 7.67/1.94  % TRYING [1]
% 7.67/1.94  % (533595)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1179603141:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.67/1.94  % TRYING [2]
% 7.67/1.94  % TRYING [4]
% 7.67/1.94  % (533603)ott-21_1_sil=16000:fs=off:random_seed=2636526000:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.67/1.94  % TRYING [3]
% 7.67/1.94  % (533591)Instruction limit reached! 
% 7.67/1.94  % (533591)------------------------------
% 7.67/1.94  % (533591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533591)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533591)Termination reason: Instruction limit
% 7.67/1.94  % (533591)Termination phase: Saturation
% 7.67/1.94  % (533591)Time elapsed: 0.113 s
% 7.67/1.94  % (533591)Peak memory usage: 13 MB
% 7.67/1.94  % (533591)Instructions burned: 131 (million)
% 7.67/1.94  % (533606)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1198642475:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.67/1.94  % TRYING [4]
% 7.67/1.94  % (533603)Instruction limit reached! 
% 7.67/1.94  % (533603)------------------------------
% 7.67/1.94  % (533603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533603)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533603)Termination reason: Instruction limit
% 7.67/1.94  % (533603)Termination phase: Saturation
% 7.67/1.94  % (533603)Time elapsed: 0.153 s
% 7.67/1.94  % (533603)Peak memory usage: 13 MB
% 7.67/1.94  % (533603)Instructions burned: 182 (million)
% 7.67/1.94  % (533609)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2857965181:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 7.67/1.94  % TRYING [1]
% 7.67/1.94  % TRYING [2]
% 7.67/1.94  % TRYING [5]
% 7.67/1.94  % TRYING [5]
% 7.67/1.94  % TRYING [3]
% 7.67/1.94  % (533590)Instruction limit reached! 
% 7.67/1.94  % (533590)------------------------------
% 7.67/1.94  % (533590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533590)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533590)Termination reason: Instruction limit
% 7.67/1.94  % (533590)Termination phase: Finite model building constraint generation
% 7.67/1.94  % (533590)Time elapsed: 0.488 s
% 7.67/1.94  % (533590)Peak memory usage: 32 MB
% 7.67/1.94  % (533590)Instructions burned: 715 (million)
% 7.67/1.94  % (533622)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4292554616:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 7.67/1.94  % (533595)Instruction limit reached! 
% 7.67/1.94  % (533595)------------------------------
% 7.67/1.94  % (533595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533595)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533595)Termination reason: Instruction limit
% 7.67/1.94  % (533595)Termination phase: Saturation
% 7.67/1.94  % (533595)Time elapsed: 0.522 s
% 7.67/1.94  % (533595)Peak memory usage: 17 MB
% 7.67/1.94  % (533595)Instructions burned: 684 (million)
% 7.67/1.94  % (533624)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=521970237:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 7.67/1.94  % (533606)Instruction limit reached! 
% 7.67/1.94  % (533606)------------------------------
% 7.67/1.94  % (533606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533606)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533606)Termination reason: Instruction limit
% 7.67/1.94  % (533606)Termination phase: Saturation
% 7.67/1.94  % (533606)Time elapsed: 0.502 s
% 7.67/1.94  % (533606)Peak memory usage: 15 MB
% 7.67/1.94  % (533606)Instructions burned: 477 (million)
% 7.67/1.94  % (533627)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=514781904:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 7.67/1.94  % TRYING [4]
% 7.67/1.94  % (533609)Instruction limit reached! 
% 7.67/1.94  % (533609)------------------------------
% 7.67/1.94  % (533609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533609)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533609)Termination reason: Instruction limit
% 7.67/1.94  % (533609)Termination phase: Finite model building constraint generation
% 7.67/1.94  % (533609)Time elapsed: 0.647 s
% 7.67/1.94  % (533609)Peak memory usage: 24 MB
% 7.67/1.94  % (533609)Instructions burned: 865 (million)
% 7.67/1.94  % (533633)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3817660897:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 7.67/1.94  % TRYING [6]
% 7.67/1.94  % (533622) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-533571-533622"...
% 7.67/1.94  % (533622)...printing done.
% 7.67/1.94  % (533622)Refutation found. Thanks to Tanya!
% 7.67/1.94  % SZS status Theorem for theBenchmark
% 7.67/1.94  % SZS output start Proof for theBenchmark
% See solution above
% 7.67/1.94  % (533622)------------------------------
% 7.67/1.94  % (533622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.67/1.94  % (533622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.67/1.94  % (533622)CaDiCaL version: 2.1.3
% 7.67/1.94  % (533622)Termination reason: Refutation
% 7.67/1.94  % (533622)Time elapsed: 0.845 s
% 7.67/1.94  % (533622)Peak memory usage: 23 MB
% 7.67/1.94  % (533622)Instructions burned: 842 (million)
% 7.67/1.94  % (533571)Success in time 1.515 s
% 7.67/1.94  % Vampire exiting
%------------------------------------------------------------------------------