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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET606+3 : TPTP v9.3.1. Released v2.2.0.
% 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 12:44:07 PM UTC 2026

% Result   : Theorem 1.94s 0.63s
% Output   : Refutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   92 (  19 unt;   7 def)
%            Number of atoms       :  210 (  24 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  206 (  88   ~;  97   |;  12   &)
%                                         (   7 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   63 (   0 sgn  59   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_equal) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X2,intersection(X0,X1))
    <=> ( member(X2,X0)
        & member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( member(X2,X0)
        & ~ member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).

fof(f9,conjecture,
    ! [X0,X1] : difference(X0,intersection(X0,X1)) = difference(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_difference_into_intersection) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1] : difference(X0,intersection(X0,X1)) = difference(X0,X1),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( member(X2,X0)
        <~> member(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f13,plain,
    ? [X0,X1] : difference(X0,X1) != difference(X0,intersection(X0,X1)),
    inference(ennf_transformation,[],[f10]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( ( ~ member(X2,X1)
            | ~ member(X2,X0) )
          & ( member(X2,X1)
            | member(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ( ( ~ member(sK0(X0,X1),X1)
          | ~ member(sK0(X0,X1),X0) )
        & ( member(sK0(X0,X1),X1)
          | member(sK0(X0,X1),X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f14]) ).

fof(f16,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X0)
        | ~ member(X2,X1) )
      & ( ( member(X2,X0)
          & member(X2,X1) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f17,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,intersection(X0,X1))
        | ~ member(X2,X0)
        | ~ member(X2,X1) )
      & ( ( member(X2,X0)
          & member(X2,X1) )
        | ~ member(X2,intersection(X0,X1)) ) ),
    inference(flattening,[],[f16]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,difference(X0,X1))
        | ~ member(X2,X0)
        | member(X2,X1) )
      & ( ( member(X2,X0)
          & ~ member(X2,X1) )
        | ~ member(X2,difference(X0,X1)) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f19,plain,
    ! [X0,X1,X2] :
      ( ( member(X2,difference(X0,X1))
        | ~ member(X2,X0)
        | member(X2,X1) )
      & ( ( member(X2,X0)
          & ~ member(X2,X1) )
        | ~ member(X2,difference(X0,X1)) ) ),
    inference(flattening,[],[f18]) ).

fof(f28,plain,
    difference(sK3,sK4) != difference(sK3,intersection(sK3,sK4)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f13]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( member(sK0(X0,X1),X1)
      | member(sK0(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ member(sK0(X0,X1),X1)
      | X0 = X1
      | ~ member(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,intersection(X0,X1))
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( member(X2,intersection(X0,X1))
      | ~ member(X2,X0)
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f34,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( member(X2,difference(X0,X1))
      | ~ member(X2,X0)
      | member(X2,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f49,plain,
    difference(sK3,sK4) != difference(sK3,intersection(sK3,sK4)),
    inference(cnf_transformation,[],[f28]) ).

fof(f54,definition,
    sF5 = difference(sK3,sK4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f55,plain,
    difference(sK3,sK4) = sF5,
    inference(reorient_equations,[],[f54]) ).

fof(f56,definition,
    sF6 = intersection(sK3,sK4),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f57,plain,
    intersection(sK3,sK4) = sF6,
    inference(reorient_equations,[],[f56]) ).

fof(f58,definition,
    sF7 = difference(sK3,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f59,plain,
    difference(sK3,sF6) = sF7,
    inference(reorient_equations,[],[f58]) ).

fof(f60,plain,
    sF5 != sF7,
    inference(definition_folding,[],[f49,f59,f57,f55]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | member(X0,sK4) ),
    inference(superposition,[],[f31,f57]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ member(X0,sF5)
      | ~ member(X0,sK4) ),
    inference(superposition,[],[f34,f55]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ member(X0,sF7)
      | ~ member(X0,sF6) ),
    inference(superposition,[],[f34,f59]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ member(X0,sF5)
      | member(X0,sK3) ),
    inference(superposition,[],[f35,f55]) ).

fof(f70,plain,
    ! [X0] :
      ( ~ member(X0,sF7)
      | member(X0,sK3) ),
    inference(superposition,[],[f35,f59]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ member(X0,sK4)
      | ~ member(X0,sK3)
      | member(X0,sF6) ),
    inference(superposition,[],[f33,f57]) ).

fof(f84,plain,
    ! [X0] :
      ( ~ member(X0,sK3)
      | member(X0,sF5)
      | member(X0,sK4) ),
    inference(superposition,[],[f36,f55]) ).

fof(f85,plain,
    ! [X0] :
      ( ~ member(X0,sK3)
      | member(X0,sF7)
      | member(X0,sF6) ),
    inference(superposition,[],[f36,f59]) ).

fof(f91,plain,
    ! [X0] :
      ( member(sK0(X0,sF5),sK3)
      | member(sK0(X0,sF5),X0)
      | sF5 = X0 ),
    inference(resolution,[],[f29,f69]) ).

fof(f173,plain,
    ( member(sK0(sF7,sF5),sK3)
    | sF5 = sF7
    | member(sK0(sF7,sF5),sK3) ),
    inference(resolution,[],[f91,f70]) ).

fof(f176,plain,
    ( member(sK0(sF7,sF5),sK3)
    | sF5 = sF7 ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f188,plain,
    member(sK0(sF7,sF5),sK3),
    inference(forward_subsumption_resolution,[],[f176,f60]) ).

fof(f194,plain,
    ( member(sK0(sF7,sF5),sF7)
    | member(sK0(sF7,sF5),sF6) ),
    inference(resolution,[],[f188,f85]) ).

fof(f195,plain,
    ( member(sK0(sF7,sF5),sF5)
    | member(sK0(sF7,sF5),sK4) ),
    inference(resolution,[],[f188,f84]) ).

fof(f198,definition,
    ( spl8_3
  <=> member(sK0(sF7,sF5),sK4) ),
    introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).

fof(f199,plain,
    ( ~ member(sK0(sF7,sF5),sK4)
    | spl8_3 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f200,plain,
    ( member(sK0(sF7,sF5),sK4)
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f202,definition,
    ( spl8_4
  <=> member(sK0(sF7,sF5),sF5) ),
    introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).

fof(f203,plain,
    ( ~ member(sK0(sF7,sF5),sF5)
    | spl8_4 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f204,plain,
    ( member(sK0(sF7,sF5),sF5)
    | ~ spl8_4 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f205,plain,
    ( spl8_3
    | spl8_4 ),
    inference(avatar_split_clause,[],[f195,f202,f198]) ).

fof(f207,definition,
    ( spl8_5
  <=> member(sK0(sF7,sF5),sF6) ),
    introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).

fof(f208,plain,
    ( ~ member(sK0(sF7,sF5),sF6)
    | spl8_5 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f209,plain,
    ( member(sK0(sF7,sF5),sF6)
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f211,definition,
    ( spl8_6
  <=> member(sK0(sF7,sF5),sF7) ),
    introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).

fof(f212,plain,
    ( ~ member(sK0(sF7,sF5),sF7)
    | spl8_6 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f213,plain,
    ( member(sK0(sF7,sF5),sF7)
    | ~ spl8_6 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f214,plain,
    ( spl8_5
    | spl8_6 ),
    inference(avatar_split_clause,[],[f194,f211,f207]) ).

fof(f292,plain,
    ( member(sK0(sF7,sF5),sK4)
    | ~ spl8_5 ),
    inference(resolution,[],[f209,f61]) ).

fof(f374,plain,
    ( $false
    | spl8_3
    | ~ spl8_5 ),
    inference(forward_subsumption_resolution,[],[f292,f199]) ).

fof(f375,plain,
    ( spl8_3
    | ~ spl8_5 ),
    inference(avatar_contradiction_clause,[],[f374]) ).

fof(f421,plain,
    ( ~ member(sK0(sF7,sF5),sK3)
    | member(sK0(sF7,sF5),sF6)
    | ~ spl8_3 ),
    inference(resolution,[],[f200,f78]) ).

fof(f462,plain,
    ( ~ member(sK0(sF7,sF5),sK4)
    | ~ spl8_4 ),
    inference(resolution,[],[f204,f67]) ).

fof(f464,plain,
    ( $false
    | ~ spl8_3
    | ~ spl8_4 ),
    inference(forward_subsumption_resolution,[],[f462,f200]) ).

fof(f465,plain,
    ( ~ spl8_3
    | ~ spl8_4 ),
    inference(avatar_contradiction_clause,[],[f464]) ).

fof(f511,plain,
    ( member(sK0(sF7,sF5),sF5)
    | sF5 = sF7
    | spl8_6 ),
    inference(resolution,[],[f212,f29]) ).

fof(f512,plain,
    ( sF5 = sF7
    | spl8_4
    | spl8_6 ),
    inference(forward_subsumption_resolution,[],[f511,f203]) ).

fof(f513,plain,
    ( $false
    | spl8_4
    | spl8_6 ),
    inference(forward_subsumption_resolution,[],[f512,f60]) ).

fof(f514,plain,
    ( spl8_4
    | spl8_6 ),
    inference(avatar_contradiction_clause,[],[f513]) ).

fof(f553,plain,
    ( ~ member(sK0(sF7,sF5),sF6)
    | ~ spl8_6 ),
    inference(resolution,[],[f213,f68]) ).

fof(f555,plain,
    ( $false
    | ~ spl8_5
    | ~ spl8_6 ),
    inference(forward_subsumption_resolution,[],[f553,f209]) ).

fof(f556,plain,
    ( ~ spl8_5
    | ~ spl8_6 ),
    inference(avatar_contradiction_clause,[],[f555]) ).

fof(f558,plain,
    ( member(sK0(sF7,sF5),sF6)
    | ~ spl8_3 ),
    inference(forward_subsumption_resolution,[],[f421,f188]) ).

fof(f560,plain,
    ( $false
    | ~ spl8_3
    | spl8_5 ),
    inference(forward_subsumption_resolution,[],[f558,f208]) ).

fof(f561,plain,
    ( ~ spl8_3
    | spl8_5 ),
    inference(avatar_contradiction_clause,[],[f560]) ).

fof(f635,plain,
    ( sF5 = sF7
    | ~ member(sK0(sF7,sF5),sF7)
    | ~ spl8_4 ),
    inference(resolution,[],[f204,f30]) ).

fof(f639,plain,
    ( ~ member(sK0(sF7,sF5),sF7)
    | ~ spl8_4 ),
    inference(forward_subsumption_resolution,[],[f635,f60]) ).

fof(f640,plain,
    ( $false
    | ~ spl8_4
    | ~ spl8_6 ),
    inference(forward_subsumption_resolution,[],[f639,f213]) ).

fof(f641,plain,
    ( ~ spl8_4
    | ~ spl8_6 ),
    inference(avatar_contradiction_clause,[],[f640]) ).

cnf(s2,plain,
    ( spl8_3
    | spl8_4 ),
    inference(sat_conversion,[],[f205]) ).

cnf(s3,plain,
    ( spl8_5
    | spl8_6 ),
    inference(sat_conversion,[],[f214]) ).

cnf(s6,plain,
    ( spl8_3
    | ~ spl8_5 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s10,plain,
    ( ~ spl8_3
    | ~ spl8_4 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s11,plain,
    ( spl8_4
    | spl8_6 ),
    inference(sat_conversion,[],[f514]) ).

cnf(s12,plain,
    ( ~ spl8_5
    | ~ spl8_6 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s13,plain,
    ( ~ spl8_3
    | spl8_5 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s14,plain,
    ( ~ spl8_4
    | ~ spl8_6 ),
    inference(sat_conversion,[],[f641]) ).

cnf(s15,plain,
    spl8_3,
    inference(rat,[],[s14,s3,s2,s6]) ).

cnf(s16,plain,
    spl8_5,
    inference(rat,[],[s13,s15]) ).

cnf(s17,plain,
    ~ spl8_4,
    inference(rat,[],[s10,s15]) ).

cnf(s19,plain,
    ~ spl8_6,
    inference(rat,[],[s12,s16]) ).

cnf(s20,plain,
    $false,
    inference(rat,[],[s11,s19,s17]) ).

fof(f642,plain,
    $false,
    inference(avatar_sat_refutation,[],[s20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SET606+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Mon Sep 28 02:17:49 UTC 2026
% 0.03/0.31  % CPUTime  : 
% 0.03/0.31  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32  Running first-order model finding
% 0.03/0.32  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
% 1.94/0.63  % (2945607)Will run a generic schedule for satisfiability detection.
% 1.94/0.63  % (2945613)% WARNING: option uhcvi not known.
% 1.94/0.63  % (2945618)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=44725148:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.94/0.63  % (2945612)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=783581062_2999 on theBenchmark for (2999ds/0Mi)
% 1.94/0.63  % (2945615)dis+10_1_sil=32000:sp=arity:random_seed=2261639176:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.94/0.63  % (2945613)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4209271872:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.94/0.63  % (2945614)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2312084622:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.94/0.63  % (2945616)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2714821213:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.94/0.63  % (2945617)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3678824125:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.63  % TRYING [1]
% 1.94/0.63  % TRYING [2]
% 1.94/0.63  % TRYING [3]
% 1.94/0.63  % TRYING [4]
% 1.94/0.63  % TRYING [5]
% 1.94/0.63  % TRYING [6]
% 1.94/0.63  % (2945615)Instruction limit reached! 
% 1.94/0.63  % (2945615)------------------------------
% 1.94/0.63  % (2945615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945615)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945615)Termination reason: Instruction limit
% 1.94/0.63  % (2945615)Termination phase: Saturation
% 1.94/0.63  % (2945615)Time elapsed: 0.034 s
% 1.94/0.63  % (2945615)Peak memory usage: 12 MB
% 1.94/0.63  % (2945615)Instructions burned: 105 (million)
% 1.94/0.63  % (2945616)Instruction limit reached! 
% 1.94/0.63  % (2945616)------------------------------
% 1.94/0.63  % (2945616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945616)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945616)Termination reason: Instruction limit
% 1.94/0.63  % (2945616)Termination phase: Saturation
% 1.94/0.63  % (2945616)Time elapsed: 0.036 s
% 1.94/0.63  % (2945616)Peak memory usage: 12 MB
% 1.94/0.63  % (2945616)Instructions burned: 119 (million)
% 1.94/0.63  % (2945617)Instruction limit reached! 
% 1.94/0.63  % (2945617)------------------------------
% 1.94/0.63  % (2945617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945617)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945617)Termination reason: Instruction limit
% 1.94/0.63  % (2945617)Termination phase: Saturation
% 1.94/0.63  % (2945617)Time elapsed: 0.041 s
% 1.94/0.63  % (2945617)Peak memory usage: 12 MB
% 1.94/0.63  % (2945617)Instructions burned: 134 (million)
% 1.94/0.63  % (2945626)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2860128794:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.94/0.63  % (2945627)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1572924104:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.63  % TRYING [1]
% 1.94/0.63  % TRYING [2]
% 1.94/0.63  % TRYING [3]
% 1.94/0.63  % TRYING [4]
% 1.94/0.63  % TRYING [7]
% 1.94/0.63  % (2945628)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=1987443801:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.94/0.63  % (2945618)Instruction limit reached! 
% 1.94/0.63  % (2945618)------------------------------
% 1.94/0.63  % (2945618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945618)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945618)Termination reason: Instruction limit
% 1.94/0.63  % (2945618)Termination phase: Saturation
% 1.94/0.63  % (2945618)Time elapsed: 0.054 s
% 1.94/0.63  % (2945618)Peak memory usage: 13 MB
% 1.94/0.63  % (2945618)Instructions burned: 160 (million)
% 1.94/0.63  % TRYING [5]
% 1.94/0.63  % (2945632)ott-21_1_sil=16000:fs=off:random_seed=958429226:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.94/0.63  % TRYING [8]
% 1.94/0.63  % TRYING [6]
% 1.94/0.63  % (2945627)Instruction limit reached! 
% 1.94/0.63  % (2945627)------------------------------
% 1.94/0.63  % (2945627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945627)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945627)Termination reason: Instruction limit
% 1.94/0.63  % (2945627)Termination phase: Saturation
% 1.94/0.63  % (2945627)Time elapsed: 0.046 s
% 1.94/0.63  % (2945627)Peak memory usage: 13 MB
% 1.94/0.63  % (2945627)Instructions burned: 132 (million)
% 1.94/0.63  % (2945634)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2540830045:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.94/0.63  % (2945632)Instruction limit reached! 
% 1.94/0.63  % (2945632)------------------------------
% 1.94/0.63  % (2945632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945632)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945632)Termination reason: Instruction limit
% 1.94/0.63  % (2945632)Termination phase: Saturation
% 1.94/0.63  % (2945632)Time elapsed: 0.046 s
% 1.94/0.63  % (2945632)Peak memory usage: 12 MB
% 1.94/0.63  % (2945632)Instructions burned: 182 (million)
% 1.94/0.63  % (2945636)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2196757796:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.94/0.63  % TRYING [9]
% 1.94/0.63  % TRYING [1]
% 1.94/0.63  % TRYING [2]
% 1.94/0.63  % TRYING [3]
% 1.94/0.63  % TRYING [4]
% 1.94/0.63  % TRYING [5]
% 1.94/0.63  % TRYING [6]
% 1.94/0.63  % TRYING [7]
% 1.94/0.63  % TRYING [7]
% 1.94/0.63  % TRYING [10]
% 1.94/0.63  % TRYING [8]
% 1.94/0.63  % (2945634)Instruction limit reached! 
% 1.94/0.63  % (2945634)------------------------------
% 1.94/0.63  % (2945634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945634)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945634)Termination reason: Instruction limit
% 1.94/0.63  % (2945634)Termination phase: Saturation
% 1.94/0.63  % (2945634)Time elapsed: 0.141 s
% 1.94/0.63  % (2945634)Peak memory usage: 14 MB
% 1.94/0.63  % (2945634)Instructions burned: 479 (million)
% 1.94/0.63  % (2945628)Instruction limit reached! 
% 1.94/0.63  % (2945628)------------------------------
% 1.94/0.63  % (2945628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945628)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945628)Termination reason: Instruction limit
% 1.94/0.63  % (2945628)Termination phase: Saturation
% 1.94/0.63  % (2945628)Time elapsed: 0.195 s
% 1.94/0.63  % (2945628)Peak memory usage: 17 MB
% 1.94/0.63  % (2945628)Instructions burned: 686 (million)
% 1.94/0.63  % (2945638)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=964524390:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.94/0.63  % (2945639)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1605148164:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 1.94/0.63  % (2945626)Instruction limit reached! 
% 1.94/0.63  % (2945626)------------------------------
% 1.94/0.63  % (2945626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945626)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945626)Termination reason: Instruction limit
% 1.94/0.63  % (2945626)Termination phase: Finite model building SAT solving
% 1.94/0.63  % (2945626)Time elapsed: 0.214 s
% 1.94/0.63  % (2945626)Peak memory usage: 16 MB
% 1.94/0.63  % (2945626)Instructions burned: 717 (million)
% 1.94/0.63  % TRYING [14]
% 1.94/0.63  % (2945638) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2945607-2945638"...
% 1.94/0.63  % (2945642)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1255845903:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 1.94/0.63  % (2945638)...printing done.
% 1.94/0.63  % (2945638)Refutation found. Thanks to Tanya!
% 1.94/0.63  % SZS status Theorem for theBenchmark
% 1.94/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.63  % (2945638)------------------------------
% 1.94/0.63  % (2945638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.63  % (2945638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.63  % (2945638)CaDiCaL version: 2.1.3
% 1.94/0.63  % (2945638)Termination reason: Refutation
% 1.94/0.63  % (2945638)Time elapsed: 0.012 s
% 1.94/0.63  % (2945638)Peak memory usage: 12 MB
% 1.94/0.63  % (2945638)Instructions burned: 36 (million)
% 1.94/0.63  % (2945607)Success in time 0.298 s
% 1.94/0.63  % Vampire exiting
%------------------------------------------------------------------------------