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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU305+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 12:48:15 PM UTC 2026

% Result   : Theorem 2.64s 1.29s
% Output   : Refutation 3.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   52 (  13 unt;   0 def)
%            Number of atoms       :  212 (  40 equ)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  265 ( 105   ~; 107   |;  37   &)
%                                         (   3 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   68 (  62   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( ( ~ empty_carrier(X0)
        & join_commutative(X0)
        & join_semilatt_str(X0)
        & element(X1,the_carrier(X0))
        & element(X2,the_carrier(X0)) )
     => join_commut(X0,X1,X2) = join_commut(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_lattices) ).

fof(f6,axiom,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & join_semilatt_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).

fof(f31,axiom,
    ! [X0,X1,X2] :
      ( ( ~ empty_carrier(X0)
        & join_commutative(X0)
        & join_semilatt_str(X0)
        & element(X1,the_carrier(X0))
        & element(X2,the_carrier(X0)) )
     => join_commut(X0,X1,X2) = join(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_lattices) ).

fof(f35,conjecture,
    ! [X0] :
      ( ( ~ empty_carrier(X0)
        & join_commutative(X0)
        & join_semilatt_str(X0) )
     => ! [X1] :
          ( element(X1,the_carrier(X0))
         => ! [X2] :
              ( element(X2,the_carrier(X0))
             => ( ( below(X0,X1,X2)
                  & below(X0,X2,X1) )
               => X1 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).

fof(f36,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ empty_carrier(X0)
          & join_commutative(X0)
          & join_semilatt_str(X0) )
       => ! [X1] :
            ( element(X1,the_carrier(X0))
           => ! [X2] :
                ( element(X2,the_carrier(X0))
               => ( ( below(X0,X1,X2)
                    & below(X0,X2,X1) )
                 => X1 = X2 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f35]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
      | empty_carrier(X0)
      | ~ join_commutative(X0)
      | ~ join_semilatt_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
      | empty_carrier(X0)
      | ~ join_commutative(X0)
      | ~ join_semilatt_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(flattening,[],[f50]) ).

fof(f54,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ join_semilatt_str(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f55,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( below(X0,X1,X2)
              <=> join(X0,X1,X2) = X2 )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ join_semilatt_str(X0) ),
    inference(flattening,[],[f54]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( join_commut(X0,X1,X2) = join(X0,X1,X2)
      | empty_carrier(X0)
      | ~ join_commutative(X0)
      | ~ join_semilatt_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( join_commut(X0,X1,X2) = join(X0,X1,X2)
      | empty_carrier(X0)
      | ~ join_commutative(X0)
      | ~ join_semilatt_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(flattening,[],[f71]) ).

fof(f74,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( X1 != X2
              & below(X0,X1,X2)
              & below(X0,X2,X1)
              & element(X2,the_carrier(X0)) )
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & join_commutative(X0)
      & join_semilatt_str(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f75,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( X1 != X2
              & below(X0,X1,X2)
              & below(X0,X2,X1)
              & element(X2,the_carrier(X0)) )
          & element(X1,the_carrier(X0)) )
      & ~ empty_carrier(X0)
      & join_commutative(X0)
      & join_semilatt_str(X0) ),
    inference(flattening,[],[f74]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( below(X0,X1,X2)
                  | join(X0,X1,X2) != X2 )
                & ( join(X0,X1,X2) = X2
                  | ~ below(X0,X1,X2) ) )
              | ~ element(X2,the_carrier(X0)) )
          | ~ element(X1,the_carrier(X0)) )
      | empty_carrier(X0)
      | ~ join_semilatt_str(X0) ),
    inference(nnf_transformation,[],[f55]) ).

fof(f94,plain,
    ( sK8 != sK9
    & below(sK7,sK8,sK9)
    & below(sK7,sK9,sK8)
    & element(sK9,the_carrier(sK7))
    & element(sK8,the_carrier(sK7))
    & ~ empty_carrier(sK7)
    & join_commutative(sK7)
    & join_semilatt_str(sK7) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f75]) ).

fof(f99,plain,
    ! [X2,X0,X1] :
      ( ~ join_commutative(X0)
      | empty_carrier(X0)
      | join_commut(X0,X1,X2) = join_commut(X0,X2,X1)
      | ~ join_semilatt_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( join(X0,X1,X2) = X2
      | ~ below(X0,X1,X2)
      | ~ element(X2,the_carrier(X0))
      | ~ element(X1,the_carrier(X0))
      | empty_carrier(X0)
      | ~ join_semilatt_str(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( ~ join_commutative(X0)
      | empty_carrier(X0)
      | join_commut(X0,X1,X2) = join(X0,X1,X2)
      | ~ join_semilatt_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f131,plain,
    join_semilatt_str(sK7),
    inference(cnf_transformation,[],[f94]) ).

fof(f132,plain,
    join_commutative(sK7),
    inference(cnf_transformation,[],[f94]) ).

fof(f133,plain,
    ~ empty_carrier(sK7),
    inference(cnf_transformation,[],[f94]) ).

fof(f134,plain,
    element(sK8,the_carrier(sK7)),
    inference(cnf_transformation,[],[f94]) ).

fof(f135,plain,
    element(sK9,the_carrier(sK7)),
    inference(cnf_transformation,[],[f94]) ).

fof(f136,plain,
    below(sK7,sK9,sK8),
    inference(cnf_transformation,[],[f94]) ).

fof(f137,plain,
    below(sK7,sK8,sK9),
    inference(cnf_transformation,[],[f94]) ).

fof(f138,plain,
    sK8 != sK9,
    inference(cnf_transformation,[],[f94]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( empty_carrier(sK7)
      | join_commut(sK7,X0,X1) = join_commut(sK7,X1,X0)
      | ~ join_semilatt_str(sK7)
      | ~ element(X0,the_carrier(sK7))
      | ~ element(X1,the_carrier(sK7)) ),
    inference(resolution,[],[f99,f132]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( join_commut(sK7,X0,X1) = join_commut(sK7,X1,X0)
      | ~ join_semilatt_str(sK7)
      | ~ element(X0,the_carrier(sK7))
      | ~ element(X1,the_carrier(sK7)) ),
    inference(forward_subsumption_resolution,[],[f161,f133]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( join_commut(sK7,X0,X1) = join_commut(sK7,X1,X0)
      | ~ element(X0,the_carrier(sK7))
      | ~ element(X1,the_carrier(sK7)) ),
    inference(forward_subsumption_resolution,[],[f162,f131]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( empty_carrier(sK7)
      | join_commut(sK7,X0,X1) = join(sK7,X0,X1)
      | ~ join_semilatt_str(sK7)
      | ~ element(X0,the_carrier(sK7))
      | ~ element(X1,the_carrier(sK7)) ),
    inference(resolution,[],[f126,f132]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( join_commut(sK7,X0,X1) = join(sK7,X0,X1)
      | ~ join_semilatt_str(sK7)
      | ~ element(X0,the_carrier(sK7))
      | ~ element(X1,the_carrier(sK7)) ),
    inference(forward_subsumption_resolution,[],[f168,f133]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( join_commut(sK7,X0,X1) = join(sK7,X0,X1)
      | ~ element(X0,the_carrier(sK7))
      | ~ element(X1,the_carrier(sK7)) ),
    inference(forward_subsumption_resolution,[],[f169,f131]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( join_commut(sK7,X1,X0) = join(sK7,X0,X1)
      | ~ element(X0,the_carrier(sK7))
      | ~ element(X1,the_carrier(sK7))
      | ~ element(X0,the_carrier(sK7))
      | ~ element(X1,the_carrier(sK7)) ),
    inference(superposition,[],[f163,f170]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ element(X0,the_carrier(sK7))
      | join_commut(sK7,X1,X0) = join(sK7,X0,X1)
      | ~ element(X1,the_carrier(sK7)) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sK7))
      | join_commut(sK7,X0,sK8) = join(sK7,sK8,X0) ),
    inference(resolution,[],[f177,f134]) ).

fof(f196,plain,
    join_commut(sK7,sK9,sK8) = join(sK7,sK8,sK9),
    inference(resolution,[],[f181,f135]) ).

fof(f223,plain,
    ( join(sK7,sK8,sK9) = join(sK7,sK9,sK8)
    | ~ element(sK9,the_carrier(sK7))
    | ~ element(sK8,the_carrier(sK7)) ),
    inference(superposition,[],[f170,f196]) ).

fof(f227,plain,
    ( join(sK7,sK8,sK9) = join(sK7,sK9,sK8)
    | ~ element(sK8,the_carrier(sK7)) ),
    inference(forward_subsumption_resolution,[],[f223,f135]) ).

fof(f229,plain,
    join(sK7,sK8,sK9) = join(sK7,sK9,sK8),
    inference(forward_subsumption_resolution,[],[f227,f134]) ).

fof(f232,plain,
    ( sK8 = join(sK7,sK8,sK9)
    | ~ below(sK7,sK9,sK8)
    | ~ element(sK8,the_carrier(sK7))
    | ~ element(sK9,the_carrier(sK7))
    | empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(superposition,[],[f101,f229]) ).

fof(f234,plain,
    ( sK8 = join(sK7,sK8,sK9)
    | ~ element(sK8,the_carrier(sK7))
    | ~ element(sK9,the_carrier(sK7))
    | empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(forward_subsumption_resolution,[],[f232,f136]) ).

fof(f236,plain,
    ( sK8 = join(sK7,sK8,sK9)
    | ~ element(sK9,the_carrier(sK7))
    | empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(forward_subsumption_resolution,[],[f234,f134]) ).

fof(f238,plain,
    ( sK8 = join(sK7,sK8,sK9)
    | empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(forward_subsumption_resolution,[],[f236,f135]) ).

fof(f240,plain,
    ( sK8 = join(sK7,sK8,sK9)
    | ~ join_semilatt_str(sK7) ),
    inference(forward_subsumption_resolution,[],[f238,f133]) ).

fof(f242,plain,
    sK8 = join(sK7,sK8,sK9),
    inference(forward_subsumption_resolution,[],[f240,f131]) ).

fof(f245,plain,
    ( sK8 = sK9
    | ~ below(sK7,sK8,sK9)
    | ~ element(sK9,the_carrier(sK7))
    | ~ element(sK8,the_carrier(sK7))
    | empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(superposition,[],[f101,f242]) ).

fof(f247,plain,
    ( ~ below(sK7,sK8,sK9)
    | ~ element(sK9,the_carrier(sK7))
    | ~ element(sK8,the_carrier(sK7))
    | empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(forward_subsumption_resolution,[],[f245,f138]) ).

fof(f249,plain,
    ( ~ element(sK9,the_carrier(sK7))
    | ~ element(sK8,the_carrier(sK7))
    | empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(forward_subsumption_resolution,[],[f247,f137]) ).

fof(f251,plain,
    ( ~ element(sK8,the_carrier(sK7))
    | empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(forward_subsumption_resolution,[],[f249,f135]) ).

fof(f253,plain,
    ( empty_carrier(sK7)
    | ~ join_semilatt_str(sK7) ),
    inference(forward_subsumption_resolution,[],[f251,f134]) ).

fof(f255,plain,
    ~ join_semilatt_str(sK7),
    inference(forward_subsumption_resolution,[],[f253,f133]) ).

fof(f257,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f255,f131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU305+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n011.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 04:37:46 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 2.64/1.28  % (3018504)Detected formulas, will run a generic FOF schedule.
% 2.64/1.28  % (3018513)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2951820523:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.64/1.28  % (3018513)Refutation not found, incomplete strategy
% 2.64/1.28  % (3018513)------------------------------
% 2.64/1.28  % (3018513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.28  % (3018513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.28  % (3018513)CaDiCaL version: 2.1.3
% 2.64/1.28  % (3018513)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.28  % (3018513)Time elapsed: 0.001 s
% 2.64/1.28  % (3018513)Peak memory usage: 88 MB
% 2.64/1.28  % (3018513)Instructions burned: 1 (million)
% 2.64/1.28  % (3018510)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=2415926186:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.64/1.28  % (3018511)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=2168493527:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.64/1.28  % (3018509)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=3989142251:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.64/1.28  % (3018512)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3488967940:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.64/1.28  % (3018512)Refutation not found, incomplete strategy
% 2.64/1.28  % (3018512)------------------------------
% 2.64/1.28  % (3018512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.28  % (3018512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.28  % (3018512)CaDiCaL version: 2.1.3
% 2.64/1.28  % (3018512)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.28  % (3018512)Time elapsed: 0.002 s
% 2.64/1.28  % (3018512)Peak memory usage: 88 MB
% 2.64/1.28  % (3018512)Instructions burned: 1 (million)
% 2.64/1.28  % (3018514)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1732091794:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.64/1.28  % (3018515)dis-21_1_sil=8000:lcm=predicate:random_seed=3421286567: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)
% 2.64/1.28  % (3018514)First to succeed.
% 2.64/1.28  % (3018514)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3018504"
% 2.64/1.28  % (3018515)Instruction limit reached! 
% 2.64/1.28  % (3018515)------------------------------
% 2.64/1.28  % (3018515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.28  % (3018515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.28  % (3018515)CaDiCaL version: 2.1.3
% 2.64/1.28  % (3018515)Termination reason: Instruction limit
% 2.64/1.28  % (3018515)Termination phase: Saturation
% 2.64/1.28  % (3018515)Time elapsed: 0.071 s
% 2.64/1.28  % (3018515)Peak memory usage: 89 MB
% 2.64/1.28  % (3018515)Instructions burned: 130 (million)
% 2.64/1.28  % (3018513)------------------------------
% 2.64/1.29  % (3018513)------------------------------
% 2.64/1.29  % (3018524)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3069851488:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.64/1.29  % (3018524)Also succeeded, but the first one will report.
% 2.64/1.29  % (3018523)lrs+10_1_sil=8000:sp=occurrence:random_seed=4132043159:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.64/1.29  % (3018523)Also succeeded, but the first one will report.
% 2.64/1.29  % (3018512)------------------------------
% 2.64/1.29  % (3018512)------------------------------
% 2.64/1.29  % (3018514)Refutation found. Thanks to Tanya!
% 2.64/1.29  % SZS status Theorem for theBenchmark
% 2.64/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.48  % (3018514)------------------------------
% 3.57/1.48  % (3018514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.48  % (3018514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.48  % (3018514)CaDiCaL version: 2.1.3
% 3.57/1.48  % (3018514)Termination reason: Refutation
% 3.57/1.48  % (3018514)Time elapsed: 0.008 s
% 3.57/1.48  % (3018514)Peak memory usage: 89 MB
% 3.57/1.48  % (3018514)Instructions burned: 10 (million)
% 3.57/1.48  % (3018514)------------------------------
% 3.57/1.48  % (3018514)------------------------------
% 3.57/1.48  % (3018504)Success in time 0.425 s
% 3.57/1.48  % Vampire exiting
%------------------------------------------------------------------------------