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Vampire-SAT---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NUM627+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n011.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 12:25:04 PM UTC 2026

% Result   : ContradictoryAxioms 1.31s 0.68s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  15 unt;   2 def)
%            Number of atoms       :  127 (   5 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  123 (  47   ~;  51   |;  16   &)
%                                         (   2 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn  29   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
        & szszuzczcdt0(X0) != sz00 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).

fof(f37,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X0,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( sdtlseqdt0(X0,X1)
        | sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).

fof(f83,axiom,
    ! [X0,X1] :
      ( ( aElementOf0(X0,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( sdtlseqdt0(X1,X0)
       => ( ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X0))
             => aElementOf0(X2,sdtlpdtrp0(xN,X1)) )
          & aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).

fof(f111,axiom,
    ( aElementOf0(xn,szDzozmdt0(xd))
    & sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(xn,szNzAzT0)
    & sdtlpdtrp0(xe,xn) = xp ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).

fof(f115,axiom,
    ( aElementOf0(xm,szNzAzT0)
    & xx = sdtlpdtrp0(xe,xm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).

fof(f117,axiom,
    ~ ( ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
         => aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
      | aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5442) ).

fof(f118,axiom,
    ~ ( ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xn))
         => aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
      | aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5461) ).

fof(f172,plain,
    ! [X0] :
      ( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
        & szszuzczcdt0(X0) != sz00 )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtlseqdt0(szszuzczcdt0(X1),X0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | sdtlseqdt0(szszuzczcdt0(X1),X0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(flattening,[],[f190]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
        & aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
        & aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) )
      | ~ sdtlseqdt0(X1,X0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ aElementOf0(X1,szNzAzT0) ),
    inference(flattening,[],[f255]) ).

fof(f286,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
        & aElementOf0(X0,sdtlpdtrp0(xN,xm)) )
    & ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f287,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
        & aElementOf0(X0,sdtlpdtrp0(xN,xn)) )
    & ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f331,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f344,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | sdtlseqdt0(szszuzczcdt0(X1),X0)
      | sdtlseqdt0(X0,X1) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f544,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(X1,X0)
      | aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f841,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f111]) ).

fof(f854,plain,
    aElementOf0(xm,szNzAzT0),
    inference(cnf_transformation,[],[f115]) ).

fof(f858,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(cnf_transformation,[],[f286]) ).

fof(f861,plain,
    ~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f287]) ).

fof(f973,plain,
    ! [X0] :
      ( ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
      | aElementOf0(X0,szNzAzT0) ),
    inference(consistent_polarity_flipping,[],[f331]) ).

fof(f987,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(szszuzczcdt0(X1),X0)
      | aElementOf0(X0,szNzAzT0)
      | aElementOf0(X1,szNzAzT0)
      | sdtlseqdt0(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f344]) ).

fof(f1177,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
      | aElementOf0(X0,szNzAzT0)
      | ~ sdtlseqdt0(X1,X0)
      | aElementOf0(X1,szNzAzT0) ),
    inference(consistent_polarity_flipping,[],[f544]) ).

fof(f1464,plain,
    ~ aElementOf0(xn,szNzAzT0),
    inference(consistent_polarity_flipping,[],[f841]) ).

fof(f1470,plain,
    ~ aElementOf0(xm,szNzAzT0),
    inference(consistent_polarity_flipping,[],[f854]) ).

fof(f1472,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(consistent_polarity_flipping,[],[f858]) ).

fof(f1475,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
    inference(consistent_polarity_flipping,[],[f861]) ).

fof(f3858,plain,
    ( aElementOf0(xn,szNzAzT0)
    | ~ sdtlseqdt0(xm,xn)
    | aElementOf0(xm,szNzAzT0) ),
    inference(resolution,[],[f1177,f1475]) ).

fof(f3859,plain,
    ( aElementOf0(xm,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(resolution,[],[f1177,f1472]) ).

fof(f3868,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(forward_subsumption_resolution,[],[f3859,f1470]) ).

fof(f3869,plain,
    ( ~ sdtlseqdt0(xm,xn)
    | aElementOf0(xm,szNzAzT0) ),
    inference(forward_subsumption_resolution,[],[f3858,f1464]) ).

fof(f3872,definition,
    ( spl62_219
  <=> aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    introduced(definition,[new_symbols(definition,[spl62_219])],[avatar_definition]) ).

fof(f3874,plain,
    ( aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ spl62_219 ),
    inference(avatar_component_clause,[],[f3872]) ).

fof(f3876,definition,
    ( spl62_220
  <=> sdtlseqdt0(szszuzczcdt0(xn),xm) ),
    introduced(definition,[new_symbols(definition,[spl62_220])],[avatar_definition]) ).

fof(f3878,plain,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
    | spl62_220 ),
    inference(avatar_component_clause,[],[f3876]) ).

fof(f3879,plain,
    ( spl62_219
    | ~ spl62_220 ),
    inference(avatar_split_clause,[],[f3868,f3876,f3872]) ).

fof(f3880,plain,
    ~ sdtlseqdt0(xm,xn),
    inference(forward_subsumption_resolution,[],[f3869,f1470]) ).

fof(f6573,plain,
    ( aElementOf0(xn,szNzAzT0)
    | ~ spl62_219 ),
    inference(resolution,[],[f3874,f973]) ).

fof(f6583,plain,
    ( $false
    | ~ spl62_219 ),
    inference(forward_subsumption_resolution,[],[f6573,f1464]) ).

fof(f6584,plain,
    ~ spl62_219,
    inference(avatar_contradiction_clause,[],[f6583]) ).

fof(f8665,plain,
    ( aElementOf0(xm,szNzAzT0)
    | aElementOf0(xn,szNzAzT0)
    | sdtlseqdt0(xm,xn)
    | spl62_220 ),
    inference(resolution,[],[f3878,f987]) ).

fof(f8668,plain,
    ( aElementOf0(xn,szNzAzT0)
    | sdtlseqdt0(xm,xn)
    | spl62_220 ),
    inference(forward_subsumption_resolution,[],[f8665,f1470]) ).

fof(f8669,plain,
    ( sdtlseqdt0(xm,xn)
    | spl62_220 ),
    inference(forward_subsumption_resolution,[],[f8668,f1464]) ).

fof(f8670,plain,
    ( $false
    | spl62_220 ),
    inference(forward_subsumption_resolution,[],[f8669,f3880]) ).

fof(f8671,plain,
    spl62_220,
    inference(avatar_contradiction_clause,[],[f8670]) ).

cnf(s190,plain,
    ( spl62_219
    | ~ spl62_220 ),
    inference(sat_conversion,[],[f3879]) ).

cnf(s320,plain,
    ~ spl62_219,
    inference(sat_conversion,[],[f6584]) ).

cnf(s486,plain,
    spl62_220,
    inference(sat_conversion,[],[f8671]) ).

cnf(s543,plain,
    $false,
    inference(rat,[],[s190,s486,s320]) ).

fof(f8672,plain,
    $false,
    inference(avatar_sat_refutation,[],[s543]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM627+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36  % Computer : n011.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % 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 20:50:16 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.31/0.68  % (2744483)Will run a generic schedule for satisfiability detection.
% 1.31/0.68  % (2744488)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2798176668_2999 on theBenchmark for (2999ds/0Mi)
% 1.31/0.68  % (2744489)% WARNING: option uhcvi not known.
% 1.31/0.68  % (2744489)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3385698566:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.31/0.68  % (2744490)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=55152280:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.31/0.68  % (2744491)dis+10_1_sil=32000:sp=arity:random_seed=2588505258:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.31/0.68  % (2744492)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3275526881:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.31/0.68  % (2744494)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2389402540:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.31/0.68  % (2744493)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=268456996:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.31/0.68  % TRYING [1]
% 1.31/0.68  % TRYING [2]
% 1.31/0.68  % TRYING [3]
% 1.31/0.68  % (2744492)Instruction limit reached! 
% 1.31/0.68  % (2744492)------------------------------
% 1.31/0.68  % (2744492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.68  % (2744492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.68  % (2744492)CaDiCaL version: 2.1.3
% 1.31/0.68  % (2744492)Termination reason: Instruction limit
% 1.31/0.68  % (2744492)Termination phase: Saturation
% 1.31/0.68  % (2744492)Time elapsed: 0.066 s
% 1.31/0.68  % (2744492)Peak memory usage: 13 MB
% 1.31/0.68  % (2744492)Instructions burned: 116 (million)
% 1.31/0.68  % (2744491)Instruction limit reached! 
% 1.31/0.68  % (2744491)------------------------------
% 1.31/0.68  % (2744491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.68  % (2744491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.68  % (2744491)CaDiCaL version: 2.1.3
% 1.31/0.68  % (2744491)Termination reason: Instruction limit
% 1.31/0.68  % (2744491)Termination phase: Saturation
% 1.31/0.68  % (2744491)Time elapsed: 0.067 s
% 1.31/0.68  % (2744491)Peak memory usage: 13 MB
% 1.31/0.68  % (2744491)Instructions burned: 104 (million)
% 1.31/0.68  % TRYING [4]
% 1.31/0.68  % (2744493)Instruction limit reached! 
% 1.31/0.68  % (2744493)------------------------------
% 1.31/0.68  % (2744493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.68  % (2744493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.68  % (2744493)CaDiCaL version: 2.1.3
% 1.31/0.68  % (2744493)Termination reason: Instruction limit
% 1.31/0.68  % (2744493)Termination phase: Saturation
% 1.31/0.68  % (2744493)Time elapsed: 0.077 s
% 1.31/0.68  % (2744493)Peak memory usage: 14 MB
% 1.31/0.68  % (2744493)Instructions burned: 131 (million)
% 1.31/0.68  % (2744502)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=204786053:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.31/0.68  % (2744503)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1699749860:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.31/0.68  % (2744504)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=3349509854:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.31/0.68  % (2744494)Instruction limit reached! 
% 1.31/0.68  % (2744494)------------------------------
% 1.31/0.68  % (2744494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.68  % (2744494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.68  % (2744494)CaDiCaL version: 2.1.3
% 1.31/0.68  % (2744494)Termination reason: Instruction limit
% 1.31/0.68  % (2744494)Termination phase: Saturation
% 1.31/0.68  % (2744494)Time elapsed: 0.103 s
% 1.31/0.68  % (2744494)Peak memory usage: 16 MB
% 1.31/0.68  % (2744494)Instructions burned: 159 (million)
% 1.31/0.68  % (2744508)ott-21_1_sil=16000:fs=off:random_seed=2363869341:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.31/0.68  % TRYING [1]
% 1.31/0.68  % TRYING [2]
% 1.31/0.68  % TRYING [3]
% 1.31/0.68  % (2744503)Instruction limit reached! 
% 1.31/0.68  % (2744503)------------------------------
% 1.31/0.68  % (2744503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.68  % (2744503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.68  % (2744503)CaDiCaL version: 2.1.3
% 1.31/0.68  % (2744503)Termination reason: Instruction limit
% 1.31/0.68  % (2744503)Termination phase: Saturation
% 1.31/0.68  % (2744503)Time elapsed: 0.083 s
% 1.31/0.68  % (2744503)Peak memory usage: 14 MB
% 1.31/0.68  % (2744503)Instructions burned: 131 (million)
% 1.31/0.68  % TRYING [5]
% 1.31/0.68  % (2744510)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2831918705:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.31/0.68  % TRYING [4]
% 1.31/0.68  % (2744489) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2744483-2744489"...
% 1.31/0.68  % (2744489)...printing done.
% 1.31/0.68  % (2744489)Refutation found. Thanks to Tanya!
% 1.31/0.68  % SZS status ContradictoryAxioms for theBenchmark
% 1.31/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.68  % (2744489)------------------------------
% 1.31/0.68  % (2744489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.68  % (2744489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.68  % (2744489)CaDiCaL version: 2.1.3
% 1.31/0.68  % (2744489)Termination reason: Refutation
% 1.31/0.68  % (2744489)Time elapsed: 0.221 s
% 1.31/0.68  % (2744489)Peak memory usage: 17 MB
% 1.31/0.68  % (2744489)Instructions burned: 343 (million)
% 1.31/0.68  % (2744483)Success in time 0.273 s
% 1.31/0.68  % Vampire exiting
%------------------------------------------------------------------------------