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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 09:40:10 AM UTC 2026

% Result   : Theorem 0.08s 0.16s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   72 (  16 unt;   3 def)
%            Number of atoms       :  277 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  285 (  80   ~; 176   |;  20   &)
%                                         (   6 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn  73   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0] :
      ( aRewritingSystem0(X0)
     => ( isConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ( aElement0(X1)
              & aElement0(X2)
              & aElement0(X3)
              & sdtmndtasgtdt0(X1,X0,X2)
              & sdtmndtasgtdt0(X1,X0,X3) )
           => ? [X4] :
                ( aElement0(X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & sdtmndtasgtdt0(X3,X0,X4) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCRDef) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( ( aElement0(X0)
        & aElement0(X1)
        & aElement0(X2)
        & sdtmndtasgtdt0(X0,xR,X1)
        & sdtmndtasgtdt0(X0,xR,X2) )
     => ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).

fof(f18,conjecture,
    isConfluent0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f19,negated_conjecture,
    ~ isConfluent0(xR),
    inference(negated_conjecture,[status(cth)],[f18]) ).

fof(f20,plain,
    ~ isConfluent0(xR),
    inference(flattening,[],[f19]) ).

fof(f37,plain,
    ! [X0] :
      ( ( isConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( aElement0(X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & sdtmndtasgtdt0(X3,X0,X4) )
            | ~ aElement0(X1)
            | ~ aElement0(X2)
            | ~ aElement0(X3)
            | ~ sdtmndtasgtdt0(X1,X0,X2)
            | ~ sdtmndtasgtdt0(X1,X0,X3) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f38,plain,
    ! [X0] :
      ( ( isConfluent0(X0)
      <=> ! [X1,X2,X3] :
            ( ? [X4] :
                ( aElement0(X4)
                & sdtmndtasgtdt0(X2,X0,X4)
                & sdtmndtasgtdt0(X3,X0,X4) )
            | ~ aElement0(X1)
            | ~ aElement0(X2)
            | ~ aElement0(X3)
            | ~ sdtmndtasgtdt0(X1,X0,X2)
            | ~ sdtmndtasgtdt0(X1,X0,X3) ) )
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f37]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) )
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ sdtmndtasgtdt0(X0,xR,X2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( aElement0(X3)
          & sdtmndtasgtdt0(X1,xR,X3)
          & sdtmndtasgtdt0(X2,xR,X3) )
      | ~ aElement0(X0)
      | ~ aElement0(X1)
      | ~ aElement0(X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ sdtmndtasgtdt0(X0,xR,X2) ),
    inference(flattening,[],[f47]) ).

fof(f60,plain,
    ! [X0,X4] :
      ( ~ aRewritingSystem0(X0)
      | ~ sdtmndtasgtdt0(sK3(X0),X0,X4)
      | ~ sdtmndtasgtdt0(sK2(X0),X0,X4)
      | ~ aElement0(X4)
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f64,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sdtmndtasgtdt0(sK1(X0),X0,sK3(X0))
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | sdtmndtasgtdt0(sK1(X0),X0,sK2(X0))
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | aElement0(sK3(X0))
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | aElement0(sK2(X0))
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ aRewritingSystem0(X0)
      | aElement0(sK1(X0))
      | isConfluent0(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f88,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X2,xR,sK13(X1,X2)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f92,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,sK13(X1,X2)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X0,xR,X2)
      | ~ sdtmndtasgtdt0(X0,xR,X1)
      | ~ aElement0(X2)
      | ~ aElement0(X1)
      | ~ aElement0(X0)
      | aElement0(sK13(X1,X2)) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f94,plain,
    ~ isConfluent0(xR),
    inference(cnf_transformation,[],[f20]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ aElement0(sK1(X0))
      | aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ aElement0(sK2(X0))
      | aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ aElement0(sK3(X0))
      | aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK1(X0),X0,sK2(X0))
      | aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ sdtmndtasgtdt0(sK1(X0),X0,sK3(X0))
      | aRewritingSystem0(X0)
      | isConfluent0(X0) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f115,plain,
    ! [X0,X4] :
      ( sdtmndtasgtdt0(sK3(X0),X0,X4)
      | aRewritingSystem0(X0)
      | sdtmndtasgtdt0(sK2(X0),X0,X4)
      | aElement0(X4)
      | isConfluent0(X0) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f135,plain,
    ~ aRewritingSystem0(xR),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ aElement0(sK13(X1,X2))
      | sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(X2)
      | aElement0(X1)
      | aElement0(X0)
      | sdtmndtasgtdt0(X0,xR,X2) ),
    inference(consistent_polarity_flipping,[],[f93]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X1,xR,sK13(X1,X2))
      | sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(X2)
      | aElement0(X1)
      | aElement0(X0)
      | sdtmndtasgtdt0(X0,xR,X2) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ sdtmndtasgtdt0(X2,xR,sK13(X1,X2))
      | sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(X2)
      | aElement0(X1)
      | aElement0(X0)
      | sdtmndtasgtdt0(X0,xR,X2) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f196,definition,
    ( spl14_1
  <=> aElement0(sK3(xR)) ),
    introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).

fof(f197,plain,
    ( ~ aElement0(sK3(xR))
    | spl14_1 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f198,plain,
    ( aElement0(sK3(xR))
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f214,definition,
    ( spl14_4
  <=> aElement0(sK2(xR)) ),
    introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).

fof(f215,plain,
    ( ~ aElement0(sK2(xR))
    | spl14_4 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f216,plain,
    ( aElement0(sK2(xR))
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(sK3(xR))
      | aElement0(X1)
      | aElement0(X0)
      | sdtmndtasgtdt0(X0,xR,sK3(xR))
      | aRewritingSystem0(xR)
      | sdtmndtasgtdt0(sK2(xR),xR,sK13(X1,sK3(xR)))
      | aElement0(sK13(X1,sK3(xR)))
      | isConfluent0(xR) ),
    inference(resolution,[],[f139,f115]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(sK3(xR))
      | aElement0(X1)
      | aElement0(X0)
      | sdtmndtasgtdt0(X0,xR,sK3(xR))
      | aRewritingSystem0(xR)
      | sdtmndtasgtdt0(sK2(xR),xR,sK13(X1,sK3(xR)))
      | isConfluent0(xR) ),
    inference(forward_subsumption_resolution,[],[f228,f137]) ).

fof(f234,definition,
    ( spl14_7
  <=> ! [X1] :
        ( sdtmndtasgtdt0(X1,xR,sK3(xR))
        | aElement0(X1)
        | sdtmndtasgtdt0(X1,xR,sK2(xR)) ) ),
    introduced(definition,[new_symbols(definition,[spl14_7])],[avatar_definition]) ).

fof(f235,plain,
    ( ! [X1] :
        ( sdtmndtasgtdt0(X1,xR,sK3(xR))
        | aElement0(X1)
        | sdtmndtasgtdt0(X1,xR,sK2(xR)) )
    | ~ spl14_7 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(X1)
      | aElement0(X0)
      | sdtmndtasgtdt0(X0,xR,sK3(xR))
      | aRewritingSystem0(xR)
      | sdtmndtasgtdt0(sK2(xR),xR,sK13(X1,sK3(xR)))
      | isConfluent0(xR) ),
    inference(forward_subsumption_resolution,[],[f232,f109]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,xR,X1)
      | aElement0(X1)
      | aElement0(X0)
      | sdtmndtasgtdt0(X0,xR,sK3(xR))
      | sdtmndtasgtdt0(sK2(xR),xR,sK13(X1,sK3(xR)))
      | isConfluent0(xR) ),
    inference(forward_subsumption_resolution,[],[f238,f135]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,xR,X1)
      | sdtmndtasgtdt0(X0,xR,sK3(xR))
      | sdtmndtasgtdt0(sK2(xR),xR,sK13(X1,sK3(xR)))
      | aElement0(X1)
      | aElement0(X0) ),
    inference(forward_subsumption_resolution,[],[f239,f94]) ).

fof(f242,plain,
    ( aRewritingSystem0(xR)
    | isConfluent0(xR)
    | ~ spl14_4 ),
    inference(resolution,[],[f216,f108]) ).

fof(f245,plain,
    ( isConfluent0(xR)
    | ~ spl14_4 ),
    inference(forward_subsumption_resolution,[],[f242,f135]) ).

fof(f246,plain,
    ( $false
    | ~ spl14_4 ),
    inference(forward_subsumption_resolution,[],[f245,f94]) ).

fof(f247,plain,
    ~ spl14_4,
    inference(avatar_contradiction_clause,[],[f246]) ).

fof(f279,plain,
    ( aRewritingSystem0(xR)
    | isConfluent0(xR)
    | ~ spl14_1 ),
    inference(resolution,[],[f198,f109]) ).

fof(f282,plain,
    ( isConfluent0(xR)
    | ~ spl14_1 ),
    inference(forward_subsumption_resolution,[],[f279,f135]) ).

fof(f283,plain,
    ( $false
    | ~ spl14_1 ),
    inference(forward_subsumption_resolution,[],[f282,f94]) ).

fof(f284,plain,
    ~ spl14_1,
    inference(avatar_contradiction_clause,[],[f283]) ).

fof(f358,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,xR,sK2(xR))
      | sdtmndtasgtdt0(X0,xR,sK3(xR))
      | aElement0(sK2(xR))
      | aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,sK2(xR))
      | aElement0(sK3(xR))
      | aElement0(sK2(xR))
      | aElement0(X1)
      | sdtmndtasgtdt0(X1,xR,sK3(xR)) ),
    inference(resolution,[],[f240,f138]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( sdtmndtasgtdt0(X0,xR,sK2(xR))
      | sdtmndtasgtdt0(X0,xR,sK3(xR))
      | aElement0(sK2(xR))
      | aElement0(X0)
      | sdtmndtasgtdt0(X1,xR,sK2(xR))
      | aElement0(sK3(xR))
      | aElement0(X1)
      | sdtmndtasgtdt0(X1,xR,sK3(xR)) ),
    inference(duplicate_literal_removal,[],[f358]) ).

fof(f374,plain,
    ( ! [X0,X1] :
        ( sdtmndtasgtdt0(X0,xR,sK2(xR))
        | sdtmndtasgtdt0(X0,xR,sK3(xR))
        | aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,sK2(xR))
        | aElement0(sK3(xR))
        | aElement0(X1)
        | sdtmndtasgtdt0(X1,xR,sK3(xR)) )
    | spl14_4 ),
    inference(forward_subsumption_resolution,[],[f362,f215]) ).

fof(f386,plain,
    ( ! [X0,X1] :
        ( sdtmndtasgtdt0(X0,xR,sK2(xR))
        | sdtmndtasgtdt0(X0,xR,sK3(xR))
        | aElement0(X0)
        | sdtmndtasgtdt0(X1,xR,sK2(xR))
        | aElement0(X1)
        | sdtmndtasgtdt0(X1,xR,sK3(xR)) )
    | spl14_1
    | spl14_4 ),
    inference(forward_subsumption_resolution,[],[f374,f197]) ).

fof(f390,plain,
    ( spl14_7
    | spl14_7
    | spl14_1
    | spl14_4 ),
    inference(avatar_split_clause,[],[f386,f214,f196,f234,f234]) ).

fof(f462,plain,
    ( aElement0(sK1(xR))
    | sdtmndtasgtdt0(sK1(xR),xR,sK2(xR))
    | aRewritingSystem0(xR)
    | isConfluent0(xR)
    | ~ spl14_7 ),
    inference(resolution,[],[f235,f111]) ).

fof(f466,plain,
    ( sdtmndtasgtdt0(sK1(xR),xR,sK2(xR))
    | aRewritingSystem0(xR)
    | isConfluent0(xR)
    | ~ spl14_7 ),
    inference(forward_subsumption_resolution,[],[f462,f107]) ).

fof(f470,plain,
    ( aRewritingSystem0(xR)
    | isConfluent0(xR)
    | ~ spl14_7 ),
    inference(forward_subsumption_resolution,[],[f466,f110]) ).

fof(f474,plain,
    ( isConfluent0(xR)
    | ~ spl14_7 ),
    inference(forward_subsumption_resolution,[],[f470,f135]) ).

fof(f475,plain,
    ( $false
    | ~ spl14_7 ),
    inference(forward_subsumption_resolution,[],[f474,f94]) ).

fof(f476,plain,
    ~ spl14_7,
    inference(avatar_contradiction_clause,[],[f475]) ).

cnf(s6,plain,
    ~ spl14_4,
    inference(sat_conversion,[],[f247]) ).

cnf(s8,plain,
    ~ spl14_1,
    inference(sat_conversion,[],[f284]) ).

cnf(s19,plain,
    ( spl14_7
    | spl14_4
    | spl14_1
    | spl14_7 ),
    inference(sat_conversion,[],[f390]) ).

cnf(s20,plain,
    ( spl14_1
    | spl14_4
    | spl14_7 ),
    inference(rat,[],[s19]) ).

cnf(s23,plain,
    ~ spl14_7,
    inference(sat_conversion,[],[f476]) ).

cnf(s24,plain,
    ( spl14_1
    | spl14_4 ),
    inference(rat,[],[s20,s23]) ).

cnf(s26,plain,
    spl14_4,
    inference(rat,[],[s24,s8]) ).

cnf(s30,plain,
    $false,
    inference(rat,[],[s6,s26]) ).

fof(f477,plain,
    $false,
    inference(avatar_sat_refutation,[],[s30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : COM023+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 21:48:34 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12  Running first-order model finding
% 0.08/0.12  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16  % (3815027)Will run a generic schedule for satisfiability detection.
% 0.08/0.16  % (3815033)% WARNING: option uhcvi not known.
% 0.08/0.16  % (3815033)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3598791016:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16  % (3815032)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1789066016_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16  % (3815034)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1309490939:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16  % (3815035)dis+10_1_sil=32000:sp=arity:random_seed=203792279:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16  % (3815036)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2024121608:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.16  % (3815037)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1691846604:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.16  % (3815038)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3664881571:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.16  % TRYING [1]
% 0.08/0.16  % TRYING [2]
% 0.08/0.16  % TRYING [3]
% 0.08/0.16  % TRYING [4]
% 0.08/0.16  % (3815033) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3815027-3815033"...
% 0.08/0.16  % (3815033)...printing done.
% 0.08/0.16  % (3815033)Refutation found. Thanks to Tanya!
% 0.08/0.16  % SZS status Theorem for theBenchmark
% 0.08/0.16  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.16  % (3815033)------------------------------
% 0.08/0.16  % (3815033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16  % (3815033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16  % (3815033)CaDiCaL version: 2.1.3
% 0.08/0.16  % (3815033)Termination reason: Refutation
% 0.08/0.16  % (3815033)Time elapsed: 0.006 s
% 0.08/0.16  % (3815033)Peak memory usage: 12 MB
% 0.08/0.16  % (3815033)Instructions burned: 16 (million)
% 0.08/0.16  % (3815027)Success in time 0.029 s
% 0.08/0.16  % Vampire exiting
%------------------------------------------------------------------------------