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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS077+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% 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 11:41:36 AM UTC 2026

% Result   : Unsatisfiable 0.42s 0.84s
% Output   : Refutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   56 (   7 unt;   3 def)
%            Number of atoms       :  243 (  22 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  308 ( 121   ~; 108   |;  65   &)
%                                         (   9 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :  108 (   0 sgn  83   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( ( rr(X0,X1)
              & rr(X0,X2) )
           => X1 = X2 )
        & ? [X3] :
            ( rr(X0,X3)
            & ! [X4] :
                ( rinvS(X3,X4)
               => cp(X4) ) )
        & ~ cp(X0)
        & ? [X3] :
            ( rs(X0,X3)
            & cp(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( rinvS(X0,X1)
    <=> rs(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f17,axiom,
    cUnsatisfiable(i2003_11_14_17_19_09372),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( rs(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f19,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( ( rr(X0,X1)
              & rr(X0,X2) )
           => X1 = X2 )
        & ? [X3] :
            ( rr(X0,X3)
            & ! [X4] :
                ( rinvS(X3,X4)
               => cp(X4) ) )
        & ~ cp(X0)
        & ? [X5] :
            ( rs(X0,X5)
            & cp(X5) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f44,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( X1 = X2
            | ~ rr(X0,X1)
            | ~ rr(X0,X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & ! [X4] :
                ( cp(X4)
                | ~ rinvS(X3,X4) ) )
        & ~ cp(X0)
        & ? [X5] :
            ( rs(X0,X5)
            & cp(X5) ) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f45,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1,X2] :
            ( X1 = X2
            | ~ rr(X0,X1)
            | ~ rr(X0,X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & ! [X4] :
                ( cp(X4)
                | ~ rinvS(X3,X4) ) )
        & ~ cp(X0)
        & ? [X5] :
            ( rs(X0,X5)
            & cp(X5) ) ) ),
    inference(flattening,[],[f44]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rs(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f47,definition,
    ! [X0] :
      ( sP0(X0)
    <=> ( ! [X1,X2] :
            ( X1 = X2
            | ~ rr(X0,X1)
            | ~ rr(X0,X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & ! [X4] :
                ( cp(X4)
                | ~ rinvS(X3,X4) ) )
        & ~ cp(X0)
        & ? [X5] :
            ( rs(X0,X5)
            & cp(X5) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f48,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> sP0(X0) ),
    inference(definition_folding,[],[f45,f47]) ).

fof(f50,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X1)
            & rr(X0,X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ? [X4] :
                ( ~ cp(X4)
                & rinvS(X3,X4) ) )
        | cp(X0)
        | ! [X5] :
            ( ~ rs(X0,X5)
            | ~ cp(X5) ) )
      & ( ( ! [X1,X2] :
              ( X1 = X2
              | ~ rr(X0,X1)
              | ~ rr(X0,X2) )
          & ? [X3] :
              ( rr(X0,X3)
              & ! [X4] :
                  ( cp(X4)
                  | ~ rinvS(X3,X4) ) )
          & ~ cp(X0)
          & ? [X5] :
              ( rs(X0,X5)
              & cp(X5) ) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f51,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X1)
            & rr(X0,X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ? [X4] :
                ( ~ cp(X4)
                & rinvS(X3,X4) ) )
        | cp(X0)
        | ! [X5] :
            ( ~ rs(X0,X5)
            | ~ cp(X5) ) )
      & ( ( ! [X1,X2] :
              ( X1 = X2
              | ~ rr(X0,X1)
              | ~ rr(X0,X2) )
          & ? [X3] :
              ( rr(X0,X3)
              & ! [X4] :
                  ( cp(X4)
                  | ~ rinvS(X3,X4) ) )
          & ~ cp(X0)
          & ? [X5] :
              ( rs(X0,X5)
              & cp(X5) ) )
        | ~ sP0(X0) ) ),
    inference(flattening,[],[f50]) ).

fof(f52,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ? [X1,X2] :
            ( X1 != X2
            & rr(X0,X1)
            & rr(X0,X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ? [X4] :
                ( ~ cp(X4)
                & rinvS(X3,X4) ) )
        | cp(X0)
        | ! [X5] :
            ( ~ rs(X0,X5)
            | ~ cp(X5) ) )
      & ( ( ! [X6,X7] :
              ( X6 = X7
              | ~ rr(X0,X6)
              | ~ rr(X0,X7) )
          & ? [X8] :
              ( rr(X0,X8)
              & ! [X9] :
                  ( cp(X9)
                  | ~ rinvS(X8,X9) ) )
          & ~ cp(X0)
          & ? [X10] :
              ( rs(X0,X10)
              & cp(X10) ) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f51]) ).

fof(f53,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ( sK1(X0) != sK2(X0)
          & rr(X0,sK1(X0))
          & rr(X0,sK2(X0)) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ( ~ cp(sK3(X3))
              & rinvS(X3,sK3(X3)) ) )
        | cp(X0)
        | ! [X5] :
            ( ~ rs(X0,X5)
            | ~ cp(X5) ) )
      & ( ( ! [X6,X7] :
              ( X6 = X7
              | ~ rr(X0,X6)
              | ~ rr(X0,X7) )
          & rr(X0,sK4(X0))
          & ! [X9] :
              ( cp(X9)
              | ~ rinvS(sK4(X0),X9) )
          & ~ cp(X0)
          & rs(X0,sK5(X0))
          & cp(sK5(X0)) )
        | ~ sP0(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X4,sK3(X3)),skolemize(X8,sK4(X0)),skolemize(X10,sK5(X0))],[f52]) ).

fof(f54,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ sP0(X0) )
      & ( sP0(X0)
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f48]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( rinvS(X0,X1)
        | ~ rs(X1,X0) )
      & ( rs(X1,X0)
        | ~ rinvS(X0,X1) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f73,plain,
    ! [X0] :
      ( rs(X0,sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f74,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ~ cp(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f75,plain,
    ! [X0,X9] :
      ( ~ sP0(X0)
      | ~ rinvS(sK4(X0),X9)
      | cp(X9) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f76,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f77,plain,
    ! [X0,X6,X7] :
      ( ~ sP0(X0)
      | ~ rr(X0,X6)
      | ~ rr(X0,X7)
      | X6 = X7 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f84,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( rinvS(X0,X1)
      | ~ rs(X1,X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f88,plain,
    cUnsatisfiable(i2003_11_14_17_19_09372),
    inference(cnf_transformation,[],[f17]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rs(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ cp(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f84,f74]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( cp(X1)
      | ~ rinvS(sK4(X0),X1)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f75,f84]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ rinvS(sK4(X0),X1)
      | ~ cUnsatisfiable(X0)
      | ~ cUnsatisfiable(X1) ),
    inference(resolution,[],[f106,f102]) ).

fof(f108,plain,
    ! [X2,X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rr(X0,X2)
      | X1 = X2
      | ~ rr(X0,X1) ),
    inference(resolution,[],[f77,f84]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ rs(X1,sK4(X0))
      | ~ cUnsatisfiable(X1)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f107,f87]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ rr(i2003_11_14_17_19_09372,X0)
      | X0 = X1
      | ~ rr(i2003_11_14_17_19_09372,X1) ),
    inference(resolution,[],[f108,f88]) ).

fof(f117,plain,
    ! [X0] :
      ( sK4(i2003_11_14_17_19_09372) = X0
      | ~ rr(i2003_11_14_17_19_09372,X0)
      | ~ sP0(i2003_11_14_17_19_09372) ),
    inference(resolution,[],[f111,f76]) ).

fof(f120,definition,
    ( spl6_1
  <=> sP0(i2003_11_14_17_19_09372) ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

fof(f121,plain,
    ( sP0(i2003_11_14_17_19_09372)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f122,plain,
    ( ~ sP0(i2003_11_14_17_19_09372)
    | spl6_1 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f124,definition,
    ( spl6_2
  <=> ! [X0] :
        ( sK4(i2003_11_14_17_19_09372) = X0
        | ~ rr(i2003_11_14_17_19_09372,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).

fof(f125,plain,
    ( ! [X0] :
        ( ~ rr(i2003_11_14_17_19_09372,X0)
        | sK4(i2003_11_14_17_19_09372) = X0 )
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f126,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f117,f124,f120]) ).

fof(f151,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
    | spl6_1 ),
    inference(resolution,[],[f122,f84]) ).

fof(f152,plain,
    ( $false
    | spl6_1 ),
    inference(forward_subsumption_resolution,[],[f151,f88]) ).

fof(f153,plain,
    spl6_1,
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f165,plain,
    ( ! [X0] :
        ( ~ rs(i2003_11_14_17_19_09372,X0)
        | sK4(i2003_11_14_17_19_09372) = X0 )
    | ~ spl6_2 ),
    inference(resolution,[],[f125,f89]) ).

fof(f176,plain,
    ( sK4(i2003_11_14_17_19_09372) = sK5(i2003_11_14_17_19_09372)
    | ~ sP0(i2003_11_14_17_19_09372)
    | ~ spl6_2 ),
    inference(resolution,[],[f165,f73]) ).

fof(f178,plain,
    ( sK4(i2003_11_14_17_19_09372) = sK5(i2003_11_14_17_19_09372)
    | ~ spl6_1
    | ~ spl6_2 ),
    inference(forward_subsumption_resolution,[],[f176,f121]) ).

fof(f180,plain,
    ( rs(i2003_11_14_17_19_09372,sK4(i2003_11_14_17_19_09372))
    | ~ sP0(i2003_11_14_17_19_09372)
    | ~ spl6_1
    | ~ spl6_2 ),
    inference(superposition,[],[f73,f178]) ).

fof(f185,plain,
    ( rs(i2003_11_14_17_19_09372,sK4(i2003_11_14_17_19_09372))
    | ~ spl6_1
    | ~ spl6_2 ),
    inference(forward_subsumption_resolution,[],[f180,f121]) ).

fof(f198,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
    | ~ cUnsatisfiable(i2003_11_14_17_19_09372)
    | ~ spl6_1
    | ~ spl6_2 ),
    inference(resolution,[],[f185,f109]) ).

fof(f199,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_09372)
    | ~ spl6_1
    | ~ spl6_2 ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f200,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_2 ),
    inference(forward_subsumption_resolution,[],[f199,f88]) ).

fof(f201,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_contradiction_clause,[],[f200]) ).

cnf(s1,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(sat_conversion,[],[f126]) ).

cnf(s6,plain,
    spl6_1,
    inference(sat_conversion,[],[f153]) ).

cnf(s9,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(sat_conversion,[],[f201]) ).

cnf(s12,plain,
    ~ spl6_2,
    inference(rat,[],[s9,s6]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s1,s12,s6]) ).

fof(f206,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : KRS077+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31  % Computer : n012.cluster.edu
% 0.04/0.31  % Model    : x86_64 x86_64
% 0.04/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31  % Memory   : 8046.5625MB
% 0.04/0.31  % OS       : Linux 6.8.0-71-generic
% 0.04/0.31  % CPULimit : 300
% 0.04/0.31  % WCLimit  : 300
% 0.04/0.31  % DateTime : Sun Sep 27 13:21:34 UTC 2026
% 0.04/0.31  % CPUTime  : 
% 0.04/0.31  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33  Running first-order theorem proving
% 0.08/0.33  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.84  % (2387953)Detected formulas, will run a generic FOF schedule.
% 0.42/0.84  % (2387960)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=1670796006:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.42/0.84  % (2387963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2020696749:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.42/0.84  % (2387958)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=572686309:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.42/0.84  % (2387962)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3296900656:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.42/0.84  % (2387964)dis-21_1_sil=8000:lcm=predicate:random_seed=3157426025: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)
% 0.42/0.84  % (2387959)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=2339527666:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.42/0.84  % (2387961)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2796995025:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.42/0.84  % (2387962)Refutation not found, incomplete strategy
% 0.42/0.84  % (2387962)------------------------------
% 0.42/0.84  % (2387962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.42/0.84  % (2387962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.84  % (2387961)Refutation not found, incomplete strategy
% 0.42/0.84  % (2387961)------------------------------
% 0.42/0.84  % (2387961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.42/0.84  % (2387962)CaDiCaL version: 2.1.3
% 0.42/0.84  % (2387961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.84  % (2387962)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.84  % (2387962)Time elapsed: 0.0000 s
% 0.42/0.84  % (2387962)Peak memory usage: 86 MB
% 0.42/0.84  % (2387961)CaDiCaL version: 2.1.3
% 0.42/0.84  % (2387961)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.84  % (2387961)Time elapsed: 0.0000 s
% 0.42/0.84  % (2387961)Peak memory usage: 86 MB
% 0.42/0.84  % (2387963)First to succeed.
% 0.42/0.84  % (2387963)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2387953"
% 0.42/0.84  % (2387964)Instruction limit reached! 
% 0.42/0.84  % (2387964)------------------------------
% 0.42/0.84  % (2387964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.42/0.84  % (2387964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.84  % (2387964)CaDiCaL version: 2.1.3
% 0.42/0.84  % (2387964)Termination reason: Instruction limit
% 0.42/0.84  % (2387964)Termination phase: Saturation
% 0.42/0.84  % (2387964)Time elapsed: 0.026 s
% 0.42/0.84  % (2387964)Peak memory usage: 88 MB
% 0.42/0.84  % (2387964)Instructions burned: 132 (million)
% 0.42/0.84  % (2387961)------------------------------
% 0.42/0.84  % (2387961)------------------------------
% 0.42/0.84  % (2387962)------------------------------
% 0.42/0.84  % (2387962)------------------------------
% 0.42/0.84  % (2387972)lrs+10_1_sil=8000:sp=occurrence:random_seed=2175018287:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.42/0.84  % (2387972)Refutation not found, incomplete strategy
% 0.42/0.84  % (2387972)------------------------------
% 0.42/0.84  % (2387972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.42/0.84  % (2387972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.84  % (2387972)CaDiCaL version: 2.1.3
% 0.42/0.84  % (2387972)Termination reason: Refutation not found, incomplete strategy
% 0.42/0.84  % (2387972)Time elapsed: 0.0000 s
% 0.42/0.84  % (2387972)Peak memory usage: 86 MB
% 0.42/0.84  % (2387963)Refutation found. Thanks to Tanya!
% 0.42/0.84  % SZS status Unsatisfiable for theBenchmark
% 0.42/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.94  % (2387963)------------------------------
% 2.39/0.94  % (2387963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/0.94  % (2387963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.94  % (2387963)CaDiCaL version: 2.1.3
% 2.39/0.94  % (2387963)Termination reason: Refutation
% 2.39/0.94  % (2387963)Time elapsed: 0.003 s
% 2.39/0.94  % (2387963)Peak memory usage: 90 MB
% 2.39/0.94  % (2387963)Instructions burned: 6 (million)
% 2.39/0.94  % (2387963)------------------------------
% 2.39/0.94  % (2387963)------------------------------
% 2.39/0.94  % (2387953)Success in time 0.306 s
% 2.39/0.94  % Vampire exiting
%------------------------------------------------------------------------------