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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM623+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 12:16:02 PM UTC 2026

% Result   : Theorem 5.65s 1.77s
% Output   : Refutation 5.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   49 (  22 unt;   1 def)
%            Number of atoms       :  133 (  46 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  145 (  61   ~;  59   |;  19   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   32 (   0 sgn  28   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( X0 = slcrc0
    <=> ( aSet0(X0)
        & ~ ? [X1] : aElementOf0(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( ( aSubsetOf0(X0,szNzAzT0)
        & aSubsetOf0(X1,szNzAzT0)
        & X0 != slcrc0
        & X1 != slcrc0 )
     => ( ( aElementOf0(szmzizndt0(X0),X1)
          & aElementOf0(szmzizndt0(X1),X0) )
       => szmzizndt0(X0) = szmzizndt0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMinMin) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).

fof(f100,axiom,
    ( aSubsetOf0(xQ,xO)
    & xQ != slcrc0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).

fof(f101,axiom,
    aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).

fof(f103,axiom,
    xp = szmzizndt0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

fof(f115,axiom,
    ( aElementOf0(xm,szNzAzT0)
    & xx = sdtlpdtrp0(xe,xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).

fof(f116,axiom,
    xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).

fof(f119,axiom,
    ( aElementOf0(xp,sdtlpdtrp0(xN,xm))
    & aElementOf0(xx,xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).

fof(f120,conjecture,
    xp = xx,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f121,negated_conjecture,
    xp != xx,
    inference(negated_conjecture,[status(cth)],[f120]) ).

fof(f129,plain,
    xp != xx,
    inference(flattening,[],[f121]) ).

fof(f131,plain,
    ! [X0] :
      ( X0 = slcrc0
    <=> ( aSet0(X0)
        & ! [X1] : ~ aElementOf0(X1,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( szmzizndt0(X0) = szmzizndt0(X1)
      | ~ aElementOf0(szmzizndt0(X0),X1)
      | ~ aElementOf0(szmzizndt0(X1),X0)
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ aSubsetOf0(X1,szNzAzT0)
      | slcrc0 = X0
      | slcrc0 = X1 ),
    inference(ennf_transformation,[],[f49]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( szmzizndt0(X0) = szmzizndt0(X1)
      | ~ aElementOf0(szmzizndt0(X0),X1)
      | ~ aElementOf0(szmzizndt0(X1),X0)
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ aSubsetOf0(X1,szNzAzT0)
      | slcrc0 = X0
      | slcrc0 = X1 ),
    inference(flattening,[],[f193]) ).

fof(f233,plain,
    ! [X0] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f259,plain,
    ! [X0] :
      ( ( X0 = slcrc0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f260,plain,
    ! [X0] :
      ( ( X0 = slcrc0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f259]) ).

fof(f261,plain,
    ! [X0] :
      ( ( X0 = slcrc0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X2] : ~ aElementOf0(X2,X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f260]) ).

fof(f262,plain,
    ! [X0] :
      ( ( X0 = slcrc0
        | ~ aSet0(X0)
        | aElementOf0(sK4(X0),X0) )
      & ( ( aSet0(X0)
          & ! [X2] : ~ aElementOf0(X2,X0) )
        | slcrc0 != X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f261]) ).

fof(f323,plain,
    ! [X2,X0] :
      ( slcrc0 != X0
      | ~ aElementOf0(X2,X0) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f404,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(szmzizndt0(X1),X0)
      | ~ aElementOf0(szmzizndt0(X0),X1)
      | szmzizndt0(X0) = szmzizndt0(X1)
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ aSubsetOf0(X1,szNzAzT0)
      | slcrc0 = X0
      | slcrc0 = X1 ),
    inference(cnf_transformation,[],[f194]) ).

fof(f487,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f522,plain,
    slcrc0 != xQ,
    inference(cnf_transformation,[],[f100]) ).

fof(f524,plain,
    aSubsetOf0(xQ,szNzAzT0),
    inference(cnf_transformation,[],[f101]) ).

fof(f526,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f103]) ).

fof(f543,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f115]) ).

fof(f544,plain,
    xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f116]) ).

fof(f547,plain,
    aElementOf0(xx,xQ),
    inference(cnf_transformation,[],[f119]) ).

fof(f548,plain,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f119]) ).

fof(f549,plain,
    xp != xx,
    inference(cnf_transformation,[],[f129]) ).

fof(f559,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
    inference(unit_resulting_resolution,[],[f487,f543]) ).

fof(f581,definition,
    ( spl29_2
  <=> aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).

fof(f582,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
    | ~ spl29_2 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f652,plain,
    ! [X0] :
      ( ~ aElementOf0(xp,X0)
      | ~ aElementOf0(szmzizndt0(X0),xQ)
      | szmzizndt0(X0) = xp
      | ~ aSubsetOf0(X0,szNzAzT0)
      | ~ aSubsetOf0(xQ,szNzAzT0)
      | slcrc0 = X0
      | slcrc0 = xQ ),
    inference(superposition,[],[f404,f526]) ).

fof(f658,plain,
    ! [X0] :
      ( ~ aElementOf0(xp,X0)
      | ~ aElementOf0(szmzizndt0(X0),xQ)
      | szmzizndt0(X0) = xp
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0
      | slcrc0 = xQ ),
    inference(forward_subsumption_resolution,[],[f652,f524]) ).

fof(f659,plain,
    ! [X0] :
      ( ~ aElementOf0(xp,X0)
      | ~ aElementOf0(szmzizndt0(X0),xQ)
      | szmzizndt0(X0) = xp
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(forward_subsumption_resolution,[],[f658,f522]) ).

fof(f698,plain,
    spl29_2,
    inference(avatar_split_clause,[],[f559,f581]) ).

fof(f1409,plain,
    ! [X0] :
      ( ~ aElementOf0(szmzizndt0(X0),xQ)
      | ~ aElementOf0(xp,X0)
      | szmzizndt0(X0) = xp
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(forward_subsumption_resolution,[],[f659,f323]) ).

fof(f1411,plain,
    ( ~ aElementOf0(xx,xQ)
    | ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
    | xp = xx
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
    inference(superposition,[],[f1409,f544]) ).

fof(f1415,plain,
    ( ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
    | xp = xx
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
    inference(forward_subsumption_resolution,[],[f1411,f547]) ).

fof(f1430,plain,
    ( xp = xx
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
    inference(forward_subsumption_resolution,[],[f1415,f548]) ).

fof(f1432,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
    inference(forward_subsumption_resolution,[],[f1430,f549]) ).

fof(f1442,plain,
    ( $false
    | ~ spl29_2 ),
    inference(forward_subsumption_resolution,[],[f1432,f582]) ).

fof(f1443,plain,
    ~ spl29_2,
    inference(avatar_contradiction_clause,[],[f1442]) ).

cnf(s11,plain,
    spl29_2,
    inference(sat_conversion,[],[f698]) ).

cnf(s47,plain,
    ~ spl29_2,
    inference(sat_conversion,[],[f1443]) ).

cnf(s51,plain,
    $false,
    inference(rat,[],[s11,s47]) ).

fof(f1444,plain,
    $false,
    inference(avatar_sat_refutation,[],[s51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM623+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n016.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 20:54:40 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.40/1.57  % (2979038)Detected formulas, will run a generic FOF schedule.
% 4.40/1.57  % (2979047)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4242762768:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.40/1.57  % (2979043)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=858252592:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.40/1.57  % (2979048)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=811641405:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.40/1.57  % (2979044)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=377960504:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.40/1.57  % (2979045)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=504958220:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.40/1.57  % (2979049)dis-21_1_sil=8000:lcm=predicate:random_seed=4035419409: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)
% 4.40/1.57  % (2979046)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2581173487:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.40/1.57  % (2979047)Instruction limit reached! 
% 4.40/1.57  % (2979047)------------------------------
% 4.40/1.57  % (2979047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.57  % (2979047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.57  % (2979047)CaDiCaL version: 2.1.3
% 4.40/1.57  % (2979047)Termination reason: Instruction limit
% 4.40/1.57  % (2979047)Termination phase: Saturation
% 4.40/1.57  % (2979047)Time elapsed: 0.040 s
% 4.40/1.57  % (2979047)Peak memory usage: 89 MB
% 4.40/1.57  % (2979047)Instructions burned: 120 (million)
% 4.40/1.57  % (2979046)Instruction limit reached! 
% 4.40/1.57  % (2979046)------------------------------
% 4.40/1.57  % (2979046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.57  % (2979046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.57  % (2979046)CaDiCaL version: 2.1.3
% 4.40/1.57  % (2979046)Termination reason: Instruction limit
% 4.40/1.57  % (2979046)Termination phase: Saturation
% 4.40/1.57  % (2979046)Time elapsed: 0.070 s
% 4.40/1.57  % (2979046)Peak memory usage: 89 MB
% 4.40/1.57  % (2979046)Instructions burned: 109 (million)
% 4.40/1.57  % (2979049)Instruction limit reached! 
% 4.40/1.57  % (2979049)------------------------------
% 4.40/1.57  % (2979049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.57  % (2979049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.57  % (2979049)CaDiCaL version: 2.1.3
% 4.40/1.57  % (2979049)Termination reason: Instruction limit
% 4.40/1.57  % (2979049)Termination phase: Saturation
% 4.40/1.57  % (2979049)Time elapsed: 0.075 s
% 4.40/1.57  % (2979049)Peak memory usage: 91 MB
% 4.40/1.57  % (2979049)Instructions burned: 129 (million)
% 4.40/1.57  % (2979048)Instruction limit reached! 
% 4.40/1.57  % (2979048)------------------------------
% 4.40/1.57  % (2979048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.57  % (2979048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.57  % (2979048)CaDiCaL version: 2.1.3
% 4.40/1.57  % (2979048)Termination reason: Instruction limit
% 4.40/1.57  % (2979048)Termination phase: Saturation
% 4.40/1.57  % (2979048)Time elapsed: 0.103 s
% 4.40/1.57  % (2979048)Peak memory usage: 90 MB
% 4.40/1.57  % (2979048)Instructions burned: 139 (million)
% 4.40/1.57  % (2979057)lrs+10_1_sil=8000:sp=occurrence:random_seed=2050183628:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.40/1.57  % (2979059)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2980932072:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.40/1.57  % (2979058)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2954672526:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.40/1.57  % (2979058)Refutation not found, incomplete strategy
% 4.40/1.57  % (2979058)------------------------------
% 4.40/1.57  % (2979058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.57  % (2979058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.77  % (2979058)CaDiCaL version: 2.1.3
% 5.65/1.77  % (2979058)Termination reason: Refutation not found, incomplete strategy
% 5.65/1.77  % (2979058)Time elapsed: 0.002 s
% 5.65/1.77  % (2979058)Peak memory usage: 88 MB
% 5.65/1.77  % (2979058)Instructions burned: 2 (million)
% 5.65/1.77  % (2979057)Instruction limit reached! 
% 5.65/1.77  % (2979057)------------------------------
% 5.65/1.77  % (2979057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.77  % (2979057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.77  % (2979057)CaDiCaL version: 2.1.3
% 5.65/1.77  % (2979057)Termination reason: Instruction limit
% 5.65/1.77  % (2979057)Termination phase: Saturation
% 5.65/1.77  % (2979057)Time elapsed: 0.101 s
% 5.65/1.77  % (2979057)Peak memory usage: 93 MB
% 5.65/1.77  % (2979057)Instructions burned: 287 (million)
% 5.65/1.77  % (2979060)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=1208233037:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.65/1.77  % (2979060)First to succeed.
% 5.65/1.77  % (2979060)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2979038"
% 5.65/1.77  % (2979064)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=772061763:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.65/1.77  % (2979064)Also succeeded, but the first one will report.
% 5.65/1.77  % (2979059)Instruction limit reached! 
% 5.65/1.77  % (2979059)------------------------------
% 5.65/1.77  % (2979059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.77  % (2979059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.77  % (2979059)CaDiCaL version: 2.1.3
% 5.65/1.77  % (2979059)Termination reason: Instruction limit
% 5.65/1.77  % (2979059)Termination phase: Saturation
% 5.65/1.77  % (2979059)Time elapsed: 0.231 s
% 5.65/1.77  % (2979059)Peak memory usage: 92 MB
% 5.65/1.77  % (2979059)Instructions burned: 326 (million)
% 5.65/1.77  % (2979058)------------------------------
% 5.65/1.77  % (2979058)------------------------------
% 5.65/1.77  % (2979060)Refutation found. Thanks to Tanya!
% 5.65/1.77  % SZS status Theorem for theBenchmark
% 5.65/1.77  % SZS output start Proof for theBenchmark
% See solution above
% 5.65/1.77  % (2979060)------------------------------
% 5.65/1.77  % (2979060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.65/1.77  % (2979060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.77  % (2979060)CaDiCaL version: 2.1.3
% 5.65/1.77  % (2979060)Termination reason: Refutation
% 5.65/1.77  % (2979060)Time elapsed: 0.029 s
% 5.65/1.77  % (2979060)Peak memory usage: 90 MB
% 5.65/1.77  % (2979060)Instructions burned: 39 (million)
% 5.65/1.77  % (2979060)------------------------------
% 5.65/1.77  % (2979060)------------------------------
% 5.65/1.77  % (2979038)Success in time 0.721 s
% 5.65/1.77  % Vampire exiting
%------------------------------------------------------------------------------