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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU144+2 : 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 : n008.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 12:47:24 PM UTC 2026

% Result   : Theorem 2.73s 1.24s
% Output   : Refutation 3.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   68 (   7 unt;   2 def)
%            Number of atoms       :  236 (  52 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  268 ( 100   ~; 113   |;  41   &)
%                                         (  11 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :  100 (   0 sgn  87   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X1] :
      ( X1 = singleton(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X2 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

fof(f8,axiom,
    ! [X0] :
      ( X0 = empty_set
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_intersection2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & in(X3,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).

fof(f28,axiom,
    ! [X0] : singleton(X0) != empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).

fof(f29,conjecture,
    ! [X0,X1] :
      ( subset(singleton(X0),X1)
    <=> in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).

fof(f30,negated_conjecture,
    ~ ! [X0,X1] :
        ( subset(singleton(X0),X1)
      <=> in(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f42,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
     => set_intersection2(X0,X1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).

fof(f76,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f81,plain,
    ? [X0,X1] :
      ( subset(singleton(X0),X1)
    <~> in(X0,X1) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( set_intersection2(X0,X1) = X0
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X2 = X0
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | X0 != X2 )
            & ( X2 = X0
              | ~ in(X2,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ? [X2] :
            ( ( X0 != X2
              | ~ in(X2,X1) )
            & ( X2 = X0
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(rectify,[],[f106]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ( X1 = singleton(X0)
        | ( ( sK0(X0,X1) != X0
            | ~ in(sK0(X0,X1),X1) )
          & ( sK0(X0,X1) = X0
            | in(sK0(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | X0 != X3 )
            & ( X0 = X3
              | ~ in(X3,X1) ) )
        | singleton(X0) != X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f107]) ).

fof(f109,plain,
    ! [X0] :
      ( ( X0 = empty_set
        | ? [X1] : in(X1,X0) )
      & ( ! [X1] : ~ in(X1,X0)
        | empty_set != X0 ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f110,plain,
    ! [X0] :
      ( ( X0 = empty_set
        | ? [X1] : in(X1,X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(rectify,[],[f109]) ).

fof(f111,plain,
    ! [X0] :
      ( ( X0 = empty_set
        | in(sK1(X0),X0) )
      & ( ! [X2] : ~ in(X2,X0)
        | empty_set != X0 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f110]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f120]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK4(X0,X1),X1)
          & in(sK4(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f121]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X0)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ~ in(X3,X0)
              | ~ in(X3,X1) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | ~ in(X3,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(flattening,[],[f123]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | ~ in(X3,X1)
              | ~ in(X3,X2) )
            & ( ( in(X3,X0)
                & in(X3,X1) )
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | ~ in(X4,X1) )
            & ( ( in(X4,X0)
                & in(X4,X1) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(rectify,[],[f124]) ).

fof(f126,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_intersection2(X0,X1)
        | ( ( ~ in(sK5(X0,X1,X2),X0)
            | ~ in(sK5(X0,X1,X2),X1)
            | ~ in(sK5(X0,X1,X2),X2) )
          & ( ( in(sK5(X0,X1,X2),X0)
              & in(sK5(X0,X1,X2),X1) )
            | in(sK5(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X0)
              | ~ in(X4,X1) )
            & ( ( in(X4,X0)
                & in(X4,X1) )
              | ~ in(X4,X2) ) )
        | set_intersection2(X0,X1) != X2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f125]) ).

fof(f132,plain,
    ? [X0,X1] :
      ( ( ~ in(X0,X1)
        | ~ subset(singleton(X0),X1) )
      & ( in(X0,X1)
        | subset(singleton(X0),X1) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f133,plain,
    ( ( ~ in(sK7,sK8)
      | ~ subset(singleton(sK7),sK8) )
    & ( in(sK7,sK8)
      | subset(singleton(sK7),sK8) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f132]) ).

fof(f151,plain,
    ! [X3,X0,X1] :
      ( X0 = X3
      | ~ in(X3,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f108]) ).

fof(f156,plain,
    ! [X0] :
      ( in(sK1(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK4(X0,X1),X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ in(sK4(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f172,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X1)
      | ~ in(X4,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f126]) ).

fof(f193,plain,
    ! [X0] : singleton(X0) != empty_set,
    inference(cnf_transformation,[],[f28]) ).

fof(f194,plain,
    ( in(sK7,sK8)
    | subset(singleton(sK7),sK8) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f195,plain,
    ( ~ in(sK7,sK8)
    | ~ subset(singleton(sK7),sK8) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | set_intersection2(X0,X1) = X0 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f243,plain,
    ! [X3,X0] :
      ( ~ in(X3,singleton(X0))
      | X0 = X3 ),
    inference(equality_resolution,[],[f151]) ).

fof(f255,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_intersection2(X0,X1))
      | in(X4,X1) ),
    inference(equality_resolution,[],[f172]) ).

fof(f260,definition,
    ( spl14_1
  <=> subset(singleton(sK7),sK8) ),
    introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).

fof(f261,plain,
    ( ~ subset(singleton(sK7),sK8)
    | spl14_1 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f262,plain,
    ( subset(singleton(sK7),sK8)
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f264,definition,
    ( spl14_2
  <=> in(sK7,sK8) ),
    introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).

fof(f265,plain,
    ( ~ in(sK7,sK8)
    | spl14_2 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f266,plain,
    ( in(sK7,sK8)
    | ~ spl14_2 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f267,plain,
    ( spl14_1
    | spl14_2 ),
    inference(avatar_split_clause,[],[f194,f264,f260]) ).

fof(f268,plain,
    ( ~ spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f195,f264,f260]) ).

fof(f290,plain,
    ! [X0] :
      ( sK1(singleton(X0)) = X0
      | singleton(X0) = empty_set ),
    inference(resolution,[],[f243,f156]) ).

fof(f291,plain,
    ! [X0] : sK1(singleton(X0)) = X0,
    inference(forward_subsumption_resolution,[],[f290,f193]) ).

fof(f319,plain,
    ( in(sK4(singleton(sK7),sK8),singleton(sK7))
    | spl14_1 ),
    inference(resolution,[],[f170,f261]) ).

fof(f322,plain,
    ( sK7 = sK4(singleton(sK7),sK8)
    | spl14_1 ),
    inference(resolution,[],[f319,f243]) ).

fof(f325,plain,
    ( ~ in(sK7,sK8)
    | subset(singleton(sK7),sK8)
    | spl14_1 ),
    inference(superposition,[],[f171,f322]) ).

fof(f326,plain,
    ( subset(singleton(sK7),sK8)
    | spl14_1
    | ~ spl14_2 ),
    inference(forward_subsumption_resolution,[],[f325,f266]) ).

fof(f327,plain,
    ( $false
    | spl14_1
    | ~ spl14_2 ),
    inference(forward_subsumption_resolution,[],[f326,f261]) ).

fof(f328,plain,
    ( spl14_1
    | ~ spl14_2 ),
    inference(avatar_contradiction_clause,[],[f327]) ).

fof(f329,plain,
    ( singleton(sK7) = set_intersection2(singleton(sK7),sK8)
    | ~ spl14_1 ),
    inference(resolution,[],[f262,f208]) ).

fof(f352,plain,
    ( ! [X0] :
        ( ~ in(X0,singleton(sK7))
        | in(X0,sK8) )
    | ~ spl14_1 ),
    inference(superposition,[],[f255,f329]) ).

fof(f354,plain,
    ( in(sK1(singleton(sK7)),sK8)
    | empty_set = singleton(sK7)
    | ~ spl14_1 ),
    inference(resolution,[],[f352,f156]) ).

fof(f355,plain,
    ( in(sK1(singleton(sK7)),sK8)
    | ~ spl14_1 ),
    inference(forward_subsumption_resolution,[],[f354,f193]) ).

fof(f358,plain,
    ( in(sK7,sK8)
    | ~ spl14_1 ),
    inference(forward_demodulation,[],[f355,f291]) ).

fof(f359,plain,
    ( $false
    | ~ spl14_1
    | spl14_2 ),
    inference(forward_subsumption_resolution,[],[f358,f265]) ).

fof(f360,plain,
    ( ~ spl14_1
    | spl14_2 ),
    inference(avatar_contradiction_clause,[],[f359]) ).

cnf(s1,plain,
    ( spl14_1
    | spl14_2 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s2,plain,
    ( ~ spl14_1
    | ~ spl14_2 ),
    inference(sat_conversion,[],[f268]) ).

cnf(s3,plain,
    ( spl14_1
    | ~ spl14_2 ),
    inference(sat_conversion,[],[f328]) ).

cnf(s5,plain,
    ( ~ spl14_1
    | spl14_2 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s6,plain,
    spl14_1,
    inference(rat,[],[s1,s3]) ).

cnf(s7,plain,
    spl14_2,
    inference(rat,[],[s5,s6]) ).

cnf(s8,plain,
    $false,
    inference(rat,[],[s2,s7,s6]) ).

fof(f361,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU144+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n008.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 28 03:44:25 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39  Running first-order theorem proving
% 0.10/0.39  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
% 2.73/1.24  % (1847188)Detected formulas, will run a generic FOF schedule.
% 2.73/1.24  % (1847196)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2795520339:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.24  % (1847196)Instruction limit reached! 
% 2.73/1.24  % (1847196)------------------------------
% 2.73/1.24  % (1847196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.24  % (1847196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.24  % (1847196)CaDiCaL version: 2.1.3
% 2.73/1.24  % (1847196)Termination reason: Instruction limit
% 2.73/1.24  % (1847196)Termination phase: Saturation
% 2.73/1.24  % (1847196)Time elapsed: 0.038 s
% 2.73/1.24  % (1847196)Peak memory usage: 89 MB
% 2.73/1.24  % (1847196)Instructions burned: 110 (million)
% 2.73/1.24  % (1847198)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=533491971:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.24  % (1847197)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=174485543:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.24  % (1847199)dis-21_1_sil=8000:lcm=predicate:random_seed=2327956403: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)
% 2.73/1.24  % (1847193)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=3331941634:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.24  % (1847195)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=1039342721:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.24  % (1847194)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=3205451423:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.24  % (1847198)First to succeed.
% 2.73/1.24  % (1847198)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1847188"
% 2.73/1.24  % (1847197)Instruction limit reached! 
% 2.73/1.24  % (1847197)------------------------------
% 2.73/1.24  % (1847197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.24  % (1847197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.24  % (1847197)CaDiCaL version: 2.1.3
% 2.73/1.24  % (1847197)Termination reason: Instruction limit
% 2.73/1.24  % (1847197)Termination phase: Saturation
% 2.73/1.24  % (1847197)Time elapsed: 0.074 s
% 2.73/1.24  % (1847197)Peak memory usage: 89 MB
% 2.73/1.24  % (1847197)Instructions burned: 119 (million)
% 2.73/1.24  % (1847199)Instruction limit reached! 
% 2.73/1.24  % (1847199)------------------------------
% 2.73/1.24  % (1847199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.24  % (1847199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.24  % (1847199)CaDiCaL version: 2.1.3
% 2.73/1.24  % (1847199)Termination reason: Instruction limit
% 2.73/1.24  % (1847199)Termination phase: Saturation
% 2.73/1.24  % (1847199)Time elapsed: 0.081 s
% 2.73/1.24  % (1847199)Peak memory usage: 89 MB
% 2.73/1.24  % (1847199)Instructions burned: 129 (million)
% 2.73/1.24  % (1847202)lrs+10_1_sil=8000:sp=occurrence:random_seed=2125113038:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.73/1.24  % (1847202)Also succeeded, but the first one will report.
% 2.73/1.24  % (1847208)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3063797260:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.73/1.24  % (1847208)Also succeeded, but the first one will report.
% 2.73/1.24  % (1847210)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3608807198:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.73/1.24  % (1847198)Refutation found. Thanks to Tanya!
% 2.73/1.24  % SZS status Theorem for theBenchmark
% 2.73/1.24  % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.44  % (1847198)------------------------------
% 3.48/1.44  % (1847198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.44  % (1847198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.44  % (1847198)CaDiCaL version: 2.1.3
% 3.48/1.44  % (1847198)Termination reason: Refutation
% 3.48/1.44  % (1847198)Time elapsed: 0.008 s
% 3.48/1.44  % (1847198)Peak memory usage: 90 MB
% 3.48/1.44  % (1847198)Instructions burned: 9 (million)
% 3.48/1.44  % (1847198)------------------------------
% 3.48/1.44  % (1847198)------------------------------
% 3.48/1.44  % (1847188)Success in time 0.408 s
% 3.48/1.44  % Vampire exiting
%------------------------------------------------------------------------------