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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM591+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 : n012.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 12:15:53 PM UTC 2026

% Result   : Theorem 3.37s 1.09s
% Output   : Refutation 3.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   32 (  15 unt;   0 def)
%            Number of atoms       :  141 (  23 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  184 (  75   ~;  68   |;  34   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   53 (  41   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ! [X1] :
          ( ( aSubsetOf0(X1,szNzAzT0)
            & isCountable0(X1) )
         => ! [X2] :
              ( ( aFunction0(X2)
                & szDzozmdt0(X2) = slbdtsldtrb0(X1,X0)
                & aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
             => ( iLess0(X0,xK)
               => ? [X3] :
                    ( aElementOf0(X3,xT)
                    & ? [X4] :
                        ( aSubsetOf0(X4,X1)
                        & isCountable0(X4)
                        & ! [X5] :
                            ( aElementOf0(X5,slbdtsldtrb0(X4,X0))
                           => sdtlpdtrp0(X2,X5) = X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3398) ).

fof(f80,axiom,
    ( aElementOf0(xk,szNzAzT0)
    & szszuzczcdt0(xk) = xK ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).

fof(f89,axiom,
    iLess0(xk,xK),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4423) ).

fof(f92,axiom,
    ( aSubsetOf0(xY,szNzAzT0)
    & isCountable0(xY)
    & aFunction0(xd)
    & szDzozmdt0(xd) = slbdtsldtrb0(xY,xk)
    & aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4482) ).

fof(f93,conjecture,
    ? [X0,X1] :
      ( aElementOf0(X0,xT)
      & aSubsetOf0(X1,xY)
      & isCountable0(X1)
      & ! [X2] :
          ( ( aSet0(X2)
            & aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
         => sdtlpdtrp0(xd,X2) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f94,negated_conjecture,
    ~ ? [X0,X1] :
        ( aElementOf0(X0,xT)
        & aSubsetOf0(X1,xY)
        & isCountable0(X1)
        & ! [X2] :
            ( ( aSet0(X2)
              & aElementOf0(X2,slbdtsldtrb0(X1,xk)) )
           => sdtlpdtrp0(xd,X2) = X0 ) ),
    inference(negated_conjecture,[status(cth)],[f93]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,xT)
      | ~ aSubsetOf0(X1,xY)
      | ~ isCountable0(X1)
      | ? [X2] :
          ( sdtlpdtrp0(xd,X2) != X0
          & aSet0(X2)
          & aElementOf0(X2,slbdtsldtrb0(X1,xk)) ) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,xT)
      | ~ aSubsetOf0(X1,xY)
      | ~ isCountable0(X1)
      | ? [X2] :
          ( sdtlpdtrp0(xd,X2) != X0
          & aSet0(X2)
          & aElementOf0(X2,slbdtsldtrb0(X1,xk)) ) ),
    inference(flattening,[],[f97]) ).

fof(f112,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( aElementOf0(X3,xT)
                  & ? [X4] :
                      ( aSubsetOf0(X4,X1)
                      & isCountable0(X4)
                      & ! [X5] :
                          ( sdtlpdtrp0(X2,X5) = X3
                          | ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) ) ) )
              | ~ iLess0(X0,xK)
              | ~ aFunction0(X2)
              | slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
              | ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
          | ~ aSubsetOf0(X1,szNzAzT0)
          | ~ isCountable0(X1) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f113,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ? [X3] :
                  ( aElementOf0(X3,xT)
                  & ? [X4] :
                      ( aSubsetOf0(X4,X1)
                      & isCountable0(X4)
                      & ! [X5] :
                          ( sdtlpdtrp0(X2,X5) = X3
                          | ~ aElementOf0(X5,slbdtsldtrb0(X4,X0)) ) ) )
              | ~ iLess0(X0,xK)
              | ~ aFunction0(X2)
              | slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
              | ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
          | ~ aSubsetOf0(X1,szNzAzT0)
          | ~ isCountable0(X1) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f112]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,xT)
      | ~ aSubsetOf0(X1,xY)
      | ~ isCountable0(X1)
      | ( sdtlpdtrp0(xd,sK0(X0,X1)) != X0
        & aSet0(sK0(X0,X1))
        & aElementOf0(sK0(X0,X1),slbdtsldtrb0(X1,xk)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f98]) ).

fof(f126,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( aElementOf0(sK3(X0,X1,X2),xT)
                & aSubsetOf0(sK4(X0,X1,X2),X1)
                & isCountable0(sK4(X0,X1,X2))
                & ! [X5] :
                    ( sdtlpdtrp0(X2,X5) = sK3(X0,X1,X2)
                    | ~ aElementOf0(X5,slbdtsldtrb0(sK4(X0,X1,X2),X0)) ) )
              | ~ iLess0(X0,xK)
              | ~ aFunction0(X2)
              | slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
              | ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT) )
          | ~ aSubsetOf0(X1,szNzAzT0)
          | ~ isCountable0(X1) )
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X4,sK4(X0,X1,X2))],[f113]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( aElementOf0(sK0(X0,X1),slbdtsldtrb0(X1,xk))
      | ~ aSubsetOf0(X1,xY)
      | ~ isCountable0(X1)
      | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xd,sK0(X0,X1)) != X0
      | ~ aSubsetOf0(X1,xY)
      | ~ isCountable0(X1)
      | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f144,plain,
    aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
    inference(cnf_transformation,[],[f92]) ).

fof(f145,plain,
    szDzozmdt0(xd) = slbdtsldtrb0(xY,xk),
    inference(cnf_transformation,[],[f92]) ).

fof(f146,plain,
    aFunction0(xd),
    inference(cnf_transformation,[],[f92]) ).

fof(f147,plain,
    isCountable0(xY),
    inference(cnf_transformation,[],[f92]) ).

fof(f148,plain,
    aSubsetOf0(xY,szNzAzT0),
    inference(cnf_transformation,[],[f92]) ).

fof(f150,plain,
    ! [X2,X0,X1,X5] :
      ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
      | ~ aElementOf0(X5,slbdtsldtrb0(sK4(X0,X1,X2),X0))
      | ~ iLess0(X0,xK)
      | ~ aFunction0(X2)
      | sdtlpdtrp0(X2,X5) = sK3(X0,X1,X2)
      | ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
      | ~ aSubsetOf0(X1,szNzAzT0)
      | ~ isCountable0(X1)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f151,plain,
    ! [X2,X0,X1] :
      ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
      | ~ iLess0(X0,xK)
      | ~ aFunction0(X2)
      | isCountable0(sK4(X0,X1,X2))
      | ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
      | ~ aSubsetOf0(X1,szNzAzT0)
      | ~ isCountable0(X1)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f152,plain,
    ! [X2,X0,X1] :
      ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
      | ~ iLess0(X0,xK)
      | ~ aFunction0(X2)
      | aSubsetOf0(sK4(X0,X1,X2),X1)
      | ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
      | ~ aSubsetOf0(X1,szNzAzT0)
      | ~ isCountable0(X1)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( slbdtsldtrb0(X1,X0) != szDzozmdt0(X2)
      | ~ iLess0(X0,xK)
      | ~ aFunction0(X2)
      | aElementOf0(sK3(X0,X1,X2),xT)
      | ~ aSubsetOf0(sdtlcdtrc0(X2,szDzozmdt0(X2)),xT)
      | ~ aSubsetOf0(X1,szNzAzT0)
      | ~ isCountable0(X1)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f159,plain,
    iLess0(xk,xK),
    inference(cnf_transformation,[],[f89]) ).

fof(f168,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[],[f80]) ).

fof(f276,plain,
    isCountable0(sK4(xk,xY,xd)),
    inference(unit_resulting_resolution,[],[f151,f146,f147,f168,f148,f159,f145,f144]) ).

fof(f284,plain,
    aSubsetOf0(sK4(xk,xY,xd),xY),
    inference(unit_resulting_resolution,[],[f152,f146,f147,f168,f148,f159,f145,f144]) ).

fof(f293,plain,
    aElementOf0(sK3(xk,xY,xd),xT),
    inference(unit_resulting_resolution,[],[f153,f146,f147,f168,f148,f159,f145,f144]) ).

fof(f318,plain,
    sK3(xk,xY,xd) != sdtlpdtrp0(xd,sK0(sK3(xk,xY,xd),sK4(xk,xY,xd))),
    inference(unit_resulting_resolution,[],[f129,f276,f284,f293]) ).

fof(f320,plain,
    aElementOf0(sK0(sK3(xk,xY,xd),sK4(xk,xY,xd)),slbdtsldtrb0(sK4(xk,xY,xd),xk)),
    inference(unit_resulting_resolution,[],[f127,f276,f284,f293]) ).

fof(f416,plain,
    ~ aElementOf0(sK0(sK3(xk,xY,xd),sK4(xk,xY,xd)),slbdtsldtrb0(sK4(xk,xY,xd),xk)),
    inference(unit_resulting_resolution,[],[f150,f146,f147,f168,f148,f159,f144,f145,f318]) ).

fof(f417,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f416,f320]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NUM591+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31  % Computer : n012.cluster.edu
% 0.03/0.31  % Model    : x86_64 x86_64
% 0.03/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31  % Memory   : 8046.5625MB
% 0.03/0.31  % OS       : Linux 6.8.0-71-generic
% 0.03/0.31  % CPULimit : 300
% 0.03/0.31  % WCLimit  : 300
% 0.03/0.31  % DateTime : Sun Sep 27 20:38:50 UTC 2026
% 0.03/0.31  % CPUTime  : 
% 0.03/0.31  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33  Running first-order theorem proving
% 0.07/0.33  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
% 0.92/0.99  % (2716735)Detected formulas, will run a generic FOF schedule.
% 0.92/0.99  % (2716746)dis-21_1_sil=8000:lcm=predicate:random_seed=1554261203: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)
% 0.92/0.99  % (2716743)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4121398553:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.92/0.99  % (2716742)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=620419456:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.92/0.99  % (2716745)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2842747496:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.92/0.99  % (2716741)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=769567370:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.92/0.99  % (2716744)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2643159486:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.92/0.99  % (2716740)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=1881143321:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.92/0.99  % (2716743)Instruction limit reached! 
% 0.92/0.99  % (2716743)------------------------------
% 0.92/0.99  % (2716743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/0.99  % (2716743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.99  % (2716743)CaDiCaL version: 2.1.3
% 0.92/0.99  % (2716743)Termination reason: Instruction limit
% 0.92/0.99  % (2716743)Termination phase: Saturation
% 0.92/0.99  % (2716743)Time elapsed: 0.038 s
% 0.92/0.99  % (2716743)Peak memory usage: 89 MB
% 0.92/0.99  % (2716743)Instructions burned: 111 (million)
% 0.92/0.99  % (2716744)Instruction limit reached! 
% 0.92/0.99  % (2716744)------------------------------
% 0.92/0.99  % (2716744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/0.99  % (2716744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.99  % (2716744)CaDiCaL version: 2.1.3
% 0.92/0.99  % (2716744)Termination reason: Instruction limit
% 0.92/0.99  % (2716744)Termination phase: Saturation
% 0.92/0.99  % (2716744)Time elapsed: 0.039 s
% 0.92/0.99  % (2716744)Peak memory usage: 88 MB
% 0.92/0.99  % (2716744)Instructions burned: 119 (million)
% 0.92/0.99  % (2716746)Instruction limit reached! 
% 0.92/0.99  % (2716746)------------------------------
% 0.92/0.99  % (2716746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/0.99  % (2716746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.99  % (2716746)CaDiCaL version: 2.1.3
% 0.92/0.99  % (2716746)Termination reason: Instruction limit
% 0.92/0.99  % (2716746)Termination phase: Saturation
% 0.92/0.99  % (2716746)Time elapsed: 0.039 s
% 0.92/0.99  % (2716746)Peak memory usage: 90 MB
% 0.92/0.99  % (2716746)Instructions burned: 130 (million)
% 0.92/0.99  % (2716745)Instruction limit reached! 
% 0.92/0.99  % (2716745)------------------------------
% 0.92/0.99  % (2716745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/0.99  % (2716745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/0.99  % (2716745)CaDiCaL version: 2.1.3
% 0.92/0.99  % (2716745)Termination reason: Instruction limit
% 0.92/0.99  % (2716745)Termination phase: Saturation
% 0.92/0.99  % (2716745)Time elapsed: 0.056 s
% 0.92/0.99  % (2716745)Peak memory usage: 90 MB
% 0.92/0.99  % (2716745)Instructions burned: 140 (million)
% 0.92/0.99  % (2716755)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3178193226:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.92/0.99  % (2716756)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4258468915:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 0.92/0.99  % (2716754)lrs+10_1_sil=8000:sp=occurrence:random_seed=724049006:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.92/0.99  % (2716755)First to succeed.
% 0.92/0.99  % (2716755)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2716735"
% 0.92/0.99  % (2716757)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=3977138502:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 3.37/1.09  % (2716757)Also succeeded, but the first one will report.
% 3.37/1.09  % (2716754)Instruction limit reached! 
% 3.37/1.09  % (2716754)------------------------------
% 3.37/1.09  % (2716754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.09  % (2716754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.09  % (2716754)CaDiCaL version: 2.1.3
% 3.37/1.09  % (2716754)Termination reason: Instruction limit
% 3.37/1.09  % (2716754)Termination phase: Saturation
% 3.37/1.09  % (2716754)Time elapsed: 0.104 s
% 3.37/1.09  % (2716754)Peak memory usage: 92 MB
% 3.37/1.09  % (2716754)Instructions burned: 287 (million)
% 3.37/1.09  % (2716756)Instruction limit reached! 
% 3.37/1.09  % (2716756)------------------------------
% 3.37/1.09  % (2716756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.09  % (2716756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.09  % (2716756)CaDiCaL version: 2.1.3
% 3.37/1.09  % (2716756)Termination reason: Instruction limit
% 3.37/1.09  % (2716756)Termination phase: Saturation
% 3.37/1.09  % (2716756)Time elapsed: 0.125 s
% 3.37/1.09  % (2716756)Peak memory usage: 92 MB
% 3.37/1.09  % (2716756)Instructions burned: 326 (million)
% 3.37/1.09  % (2716755)Refutation found. Thanks to Tanya!
% 3.37/1.09  % SZS status Theorem for theBenchmark
% 3.37/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.09  % (2716755)------------------------------
% 3.37/1.09  % (2716755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.09  % (2716755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.09  % (2716755)CaDiCaL version: 2.1.3
% 3.37/1.09  % (2716755)Termination reason: Refutation
% 3.37/1.09  % (2716755)Time elapsed: 0.007 s
% 3.37/1.09  % (2716755)Peak memory usage: 89 MB
% 3.37/1.09  % (2716755)Instructions burned: 16 (million)
% 3.37/1.09  % (2716755)------------------------------
% 3.37/1.09  % (2716755)------------------------------
% 3.37/1.09  % (2716735)Success in time 0.453 s
% 3.37/1.09  % Vampire exiting
%------------------------------------------------------------------------------