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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COM012+3 : 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 : n009.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 09:39:23 AM UTC 2026

% Result   : Theorem 3.71s 1.34s
% Output   : Refutation 5.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   55 (  16 unt;   4 def)
%            Number of atoms       :  267 (  27 equ)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives :  307 (  95   ~; 107   |;  96   &)
%                                         (   4 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   39 (   0 sgn  24   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aElement0(X0)
        & aRewritingSystem0(X1)
        & aElement0(X2)
        & aElement0(X3) )
     => ( ( sdtmndtplgtdt0(X0,X1,X2)
          & sdtmndtplgtdt0(X2,X1,X3) )
       => sdtmndtplgtdt0(X0,X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCTrans) ).

fof(f9,axiom,
    ( aElement0(xx)
    & aRewritingSystem0(xR)
    & aElement0(xy)
    & aElement0(xz) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__349) ).

fof(f10,conjecture,
    ( ( ( xx = xy
        | ( ( aReductOfIn0(xy,xx,xR)
            | ? [X0] :
                ( aElement0(X0)
                & aReductOfIn0(X0,xx,xR)
                & sdtmndtplgtdt0(X0,xR,xy) ) )
          & sdtmndtplgtdt0(xx,xR,xy) ) )
      & sdtmndtasgtdt0(xx,xR,xy)
      & ( xy = xz
        | ( ( aReductOfIn0(xz,xy,xR)
            | ? [X0] :
                ( aElement0(X0)
                & aReductOfIn0(X0,xy,xR)
                & sdtmndtplgtdt0(X0,xR,xz) ) )
          & sdtmndtplgtdt0(xy,xR,xz) ) )
      & sdtmndtasgtdt0(xy,xR,xz) )
   => ( xx = xz
      | aReductOfIn0(xz,xx,xR)
      | ? [X0] :
          ( aElement0(X0)
          & aReductOfIn0(X0,xx,xR)
          & sdtmndtplgtdt0(X0,xR,xz) )
      | sdtmndtplgtdt0(xx,xR,xz)
      | sdtmndtasgtdt0(xx,xR,xz) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f11,negated_conjecture,
    ~ ( ( ( xx = xy
          | ( ( aReductOfIn0(xy,xx,xR)
              | ? [X0] :
                  ( aElement0(X0)
                  & aReductOfIn0(X0,xx,xR)
                  & sdtmndtplgtdt0(X0,xR,xy) ) )
            & sdtmndtplgtdt0(xx,xR,xy) ) )
        & sdtmndtasgtdt0(xx,xR,xy)
        & ( xy = xz
          | ( ( aReductOfIn0(xz,xy,xR)
              | ? [X0] :
                  ( aElement0(X0)
                  & aReductOfIn0(X0,xy,xR)
                  & sdtmndtplgtdt0(X0,xR,xz) ) )
            & sdtmndtplgtdt0(xy,xR,xz) ) )
        & sdtmndtasgtdt0(xy,xR,xz) )
     => ( xx = xz
        | aReductOfIn0(xz,xx,xR)
        | ? [X0] :
            ( aElement0(X0)
            & aReductOfIn0(X0,xx,xR)
            & sdtmndtplgtdt0(X0,xR,xz) )
        | sdtmndtplgtdt0(xx,xR,xz)
        | sdtmndtasgtdt0(xx,xR,xz) ) ),
    inference(negated_conjecture,[status(cth)],[f10]) ).

fof(f12,plain,
    ~ ( ( ( xx = xy
          | ( ( aReductOfIn0(xy,xx,xR)
              | ? [X0] :
                  ( aElement0(X0)
                  & aReductOfIn0(X0,xx,xR)
                  & sdtmndtplgtdt0(X0,xR,xy) ) )
            & sdtmndtplgtdt0(xx,xR,xy) ) )
        & sdtmndtasgtdt0(xx,xR,xy)
        & ( xy = xz
          | ( ( aReductOfIn0(xz,xy,xR)
              | ? [X1] :
                  ( aElement0(X1)
                  & aReductOfIn0(X1,xy,xR)
                  & sdtmndtplgtdt0(X1,xR,xz) ) )
            & sdtmndtplgtdt0(xy,xR,xz) ) )
        & sdtmndtasgtdt0(xy,xR,xz) )
     => ( xx = xz
        | aReductOfIn0(xz,xx,xR)
        | ? [X2] :
            ( aElement0(X2)
            & aReductOfIn0(X2,xx,xR)
            & sdtmndtplgtdt0(X2,xR,xz) )
        | sdtmndtplgtdt0(xx,xR,xz)
        | sdtmndtasgtdt0(xx,xR,xz) ) ),
    inference(rectify,[],[f11]) ).

fof(f16,plain,
    ( xx != xz
    & ~ aReductOfIn0(xz,xx,xR)
    & ! [X2] :
        ( ~ aElement0(X2)
        | ~ aReductOfIn0(X2,xx,xR)
        | ~ sdtmndtplgtdt0(X2,xR,xz) )
    & ~ sdtmndtplgtdt0(xx,xR,xz)
    & ~ sdtmndtasgtdt0(xx,xR,xz)
    & ( xx = xy
      | ( ( aReductOfIn0(xy,xx,xR)
          | ? [X0] :
              ( aElement0(X0)
              & aReductOfIn0(X0,xx,xR)
              & sdtmndtplgtdt0(X0,xR,xy) ) )
        & sdtmndtplgtdt0(xx,xR,xy) ) )
    & sdtmndtasgtdt0(xx,xR,xy)
    & ( xy = xz
      | ( ( aReductOfIn0(xz,xy,xR)
          | ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xy,xR)
              & sdtmndtplgtdt0(X1,xR,xz) ) )
        & sdtmndtplgtdt0(xy,xR,xz) ) )
    & sdtmndtasgtdt0(xy,xR,xz) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f17,plain,
    ( xx != xz
    & ~ aReductOfIn0(xz,xx,xR)
    & ! [X2] :
        ( ~ aElement0(X2)
        | ~ aReductOfIn0(X2,xx,xR)
        | ~ sdtmndtplgtdt0(X2,xR,xz) )
    & ~ sdtmndtplgtdt0(xx,xR,xz)
    & ~ sdtmndtasgtdt0(xx,xR,xz)
    & ( xx = xy
      | ( ( aReductOfIn0(xy,xx,xR)
          | ? [X0] :
              ( aElement0(X0)
              & aReductOfIn0(X0,xx,xR)
              & sdtmndtplgtdt0(X0,xR,xy) ) )
        & sdtmndtplgtdt0(xx,xR,xy) ) )
    & sdtmndtasgtdt0(xx,xR,xy)
    & ( xy = xz
      | ( ( aReductOfIn0(xz,xy,xR)
          | ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xy,xR)
              & sdtmndtplgtdt0(X1,xR,xz) ) )
        & sdtmndtplgtdt0(xy,xR,xz) ) )
    & sdtmndtasgtdt0(xy,xR,xz) ),
    inference(flattening,[],[f16]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3] :
      ( sdtmndtplgtdt0(X0,X1,X3)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X2,X1,X3)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3] :
      ( sdtmndtplgtdt0(X0,X1,X3)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | ~ sdtmndtplgtdt0(X2,X1,X3)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X3) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ( xx != xz
    & ~ aReductOfIn0(xz,xx,xR)
    & ! [X0] :
        ( ~ aElement0(X0)
        | ~ aReductOfIn0(X0,xx,xR)
        | ~ sdtmndtplgtdt0(X0,xR,xz) )
    & ~ sdtmndtplgtdt0(xx,xR,xz)
    & ~ sdtmndtasgtdt0(xx,xR,xz)
    & ( xx = xy
      | ( ( aReductOfIn0(xy,xx,xR)
          | ? [X1] :
              ( aElement0(X1)
              & aReductOfIn0(X1,xx,xR)
              & sdtmndtplgtdt0(X1,xR,xy) ) )
        & sdtmndtplgtdt0(xx,xR,xy) ) )
    & sdtmndtasgtdt0(xx,xR,xy)
    & ( xy = xz
      | ( ( aReductOfIn0(xz,xy,xR)
          | ? [X2] :
              ( aElement0(X2)
              & aReductOfIn0(X2,xy,xR)
              & sdtmndtplgtdt0(X2,xR,xz) ) )
        & sdtmndtplgtdt0(xy,xR,xz) ) )
    & sdtmndtasgtdt0(xy,xR,xz) ),
    inference(rectify,[],[f17]) ).

fof(f27,plain,
    ( xx != xz
    & ~ aReductOfIn0(xz,xx,xR)
    & ! [X0] :
        ( ~ aElement0(X0)
        | ~ aReductOfIn0(X0,xx,xR)
        | ~ sdtmndtplgtdt0(X0,xR,xz) )
    & ~ sdtmndtplgtdt0(xx,xR,xz)
    & ~ sdtmndtasgtdt0(xx,xR,xz)
    & ( xx = xy
      | ( ( aReductOfIn0(xy,xx,xR)
          | ( aElement0(sK0)
            & aReductOfIn0(sK0,xx,xR)
            & sdtmndtplgtdt0(sK0,xR,xy) ) )
        & sdtmndtplgtdt0(xx,xR,xy) ) )
    & sdtmndtasgtdt0(xx,xR,xy)
    & ( xy = xz
      | ( ( aReductOfIn0(xz,xy,xR)
          | ( aElement0(sK1)
            & aReductOfIn0(sK1,xy,xR)
            & sdtmndtplgtdt0(sK1,xR,xz) ) )
        & sdtmndtplgtdt0(xy,xR,xz) ) )
    & sdtmndtasgtdt0(xy,xR,xz) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0),skolemize(X2,sK1)],[f26]) ).

fof(f34,plain,
    aElement0(xz),
    inference(cnf_transformation,[],[f9]) ).

fof(f35,plain,
    aElement0(xy),
    inference(cnf_transformation,[],[f9]) ).

fof(f36,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f9]) ).

fof(f37,plain,
    aElement0(xx),
    inference(cnf_transformation,[],[f9]) ).

fof(f38,plain,
    sdtmndtasgtdt0(xy,xR,xz),
    inference(cnf_transformation,[],[f27]) ).

fof(f39,plain,
    ( xy = xz
    | sdtmndtplgtdt0(xy,xR,xz) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f43,plain,
    sdtmndtasgtdt0(xx,xR,xy),
    inference(cnf_transformation,[],[f27]) ).

fof(f44,plain,
    ( xx = xy
    | sdtmndtplgtdt0(xx,xR,xy) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f48,plain,
    ~ sdtmndtasgtdt0(xx,xR,xz),
    inference(cnf_transformation,[],[f27]) ).

fof(f49,plain,
    ~ sdtmndtplgtdt0(xx,xR,xz),
    inference(cnf_transformation,[],[f27]) ).

fof(f62,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sdtmndtplgtdt0(X2,X1,X3)
      | ~ sdtmndtplgtdt0(X0,X1,X2)
      | sdtmndtplgtdt0(X0,X1,X3)
      | ~ aElement0(X0)
      | ~ aRewritingSystem0(X1)
      | ~ aElement0(X2)
      | ~ aElement0(X3) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f68,definition,
    ( spl4_1
  <=> sdtmndtplgtdt0(xy,xR,xz) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f70,plain,
    ( sdtmndtplgtdt0(xy,xR,xz)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f72,definition,
    ( spl4_2
  <=> xy = xz ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f74,plain,
    ( xy = xz
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f75,plain,
    ( spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f39,f72,f68]) ).

fof(f96,definition,
    ( spl4_7
  <=> sdtmndtplgtdt0(xx,xR,xy) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

fof(f98,plain,
    ( sdtmndtplgtdt0(xx,xR,xy)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f100,definition,
    ( spl4_8
  <=> xx = xy ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

fof(f102,plain,
    ( xx = xy
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f103,plain,
    ( spl4_7
    | spl4_8 ),
    inference(avatar_split_clause,[],[f44,f100,f96]) ).

fof(f130,plain,
    ( ~ sdtmndtasgtdt0(xx,xR,xy)
    | ~ spl4_2 ),
    inference(superposition,[],[f48,f74]) ).

fof(f131,plain,
    ( $false
    | ~ spl4_2 ),
    inference(forward_subsumption_resolution,[],[f130,f43]) ).

fof(f132,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f131]) ).

fof(f133,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xy)
        | sdtmndtplgtdt0(X0,xR,xz)
        | ~ aElement0(X0)
        | ~ aRewritingSystem0(xR)
        | ~ aElement0(xy)
        | ~ aElement0(xz) )
    | ~ spl4_1 ),
    inference(resolution,[],[f70,f62]) ).

fof(f137,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xy)
        | sdtmndtplgtdt0(X0,xR,xz)
        | ~ aElement0(X0)
        | ~ aElement0(xy)
        | ~ aElement0(xz) )
    | ~ spl4_1 ),
    inference(forward_subsumption_resolution,[],[f133,f36]) ).

fof(f139,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xy)
        | sdtmndtplgtdt0(X0,xR,xz)
        | ~ aElement0(X0)
        | ~ aElement0(xz) )
    | ~ spl4_1 ),
    inference(forward_subsumption_resolution,[],[f137,f35]) ).

fof(f141,plain,
    ( ! [X0] :
        ( ~ sdtmndtplgtdt0(X0,xR,xy)
        | sdtmndtplgtdt0(X0,xR,xz)
        | ~ aElement0(X0) )
    | ~ spl4_1 ),
    inference(forward_subsumption_resolution,[],[f139,f34]) ).

fof(f166,plain,
    ( ~ sdtmndtasgtdt0(xy,xR,xz)
    | ~ spl4_8 ),
    inference(superposition,[],[f48,f102]) ).

fof(f175,plain,
    ( $false
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f166,f38]) ).

fof(f176,plain,
    ~ spl4_8,
    inference(avatar_contradiction_clause,[],[f175]) ).

fof(f208,plain,
    ( sdtmndtplgtdt0(xx,xR,xz)
    | ~ aElement0(xx)
    | ~ spl4_1
    | ~ spl4_7 ),
    inference(resolution,[],[f141,f98]) ).

fof(f213,plain,
    ( ~ aElement0(xx)
    | ~ spl4_1
    | ~ spl4_7 ),
    inference(forward_subsumption_resolution,[],[f208,f49]) ).

fof(f215,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_7 ),
    inference(forward_subsumption_resolution,[],[f213,f37]) ).

fof(f216,plain,
    ( ~ spl4_1
    | ~ spl4_7 ),
    inference(avatar_contradiction_clause,[],[f215]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2 ),
    inference(sat_conversion,[],[f75]) ).

cnf(s5,plain,
    ( spl4_7
    | spl4_8 ),
    inference(sat_conversion,[],[f103]) ).

cnf(s10,plain,
    ~ spl4_2,
    inference(sat_conversion,[],[f132]) ).

cnf(s14,plain,
    ~ spl4_8,
    inference(sat_conversion,[],[f176]) ).

cnf(s15,plain,
    ( ~ spl4_1
    | ~ spl4_7 ),
    inference(sat_conversion,[],[f216]) ).

cnf(s19,plain,
    spl4_7,
    inference(rat,[],[s5,s14]) ).

cnf(s20,plain,
    ~ spl4_1,
    inference(rat,[],[s15,s19]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s1,s10,s20]) ).

fof(f217,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM012+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  % Computer : n009.cluster.edu
% 0.09/0.22  % Model    : x86_64 x86_64
% 0.09/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22  % Memory   : 8046.5625MB
% 0.09/0.22  % OS       : Linux 6.8.0-71-generic
% 0.09/0.22  % CPULimit : 300
% 0.09/0.22  % WCLimit  : 300
% 0.09/0.22  % DateTime : Mon Sep 28 21:45:00 UTC 2026
% 0.09/0.22  % CPUTime  : 
% 0.09/0.22  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.27  Running first-order theorem proving
% 0.09/0.27  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
% 3.71/1.34  % (3523255)Detected formulas, will run a generic FOF schedule.
% 3.71/1.34  % (3523266)dis-21_1_sil=8000:lcm=predicate:random_seed=2794923243:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 3.71/1.34  % (3523265)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1306312506:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 3.71/1.34  % (3523263)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4044585329:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 3.71/1.34  % (3523260)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=2463762549:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 3.71/1.34  % (3523264)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=599020095:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 3.71/1.34  % (3523262)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=484228413:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 3.71/1.34  % (3523261)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=2588925191:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 3.71/1.34  % (3523263)First to succeed.
% 3.71/1.34  % (3523265)Also succeeded, but the first one will report.
% 3.71/1.34  % (3523263)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3523255"
% 3.71/1.34  % (3523264)Also succeeded, but the first one will report.
% 3.71/1.34  % (3523266)Instruction limit reached! 
% 3.71/1.34  % (3523266)------------------------------
% 3.71/1.34  % (3523266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.34  % (3523266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.34  % (3523266)CaDiCaL version: 2.1.3
% 3.71/1.34  % (3523266)Termination reason: Instruction limit
% 3.71/1.34  % (3523266)Termination phase: Saturation
% 3.71/1.34  % (3523266)Time elapsed: 0.057 s
% 3.71/1.34  % (3523266)Peak memory usage: 88 MB
% 3.71/1.34  % (3523266)Instructions burned: 129 (million)
% 3.71/1.34  % (3523274)lrs+10_1_sil=8000:sp=occurrence:random_seed=2202301351:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.71/1.34  % (3523274)Also succeeded, but the first one will report.
% 3.71/1.34  % (3523263)Refutation found. Thanks to Tanya!
% 3.71/1.34  % SZS status Theorem for theBenchmark
% 3.71/1.34  % SZS output start Proof for theBenchmark
% See solution above
% 5.30/1.59  % (3523263)------------------------------
% 5.30/1.59  % (3523263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.59  % (3523263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.59  % (3523263)CaDiCaL version: 2.1.3
% 5.30/1.59  % (3523263)Termination reason: Refutation
% 5.30/1.59  % (3523263)Time elapsed: 0.008 s
% 5.30/1.59  % (3523263)Peak memory usage: 89 MB
% 5.30/1.59  % (3523263)Instructions burned: 6 (million)
% 5.30/1.59  % (3523263)------------------------------
% 5.30/1.59  % (3523263)------------------------------
% 5.30/1.59  % (3523255)Success in time 0.66 s
% 5.30/1.59  % Vampire exiting
%------------------------------------------------------------------------------