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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC218+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 01:02:59 PM UTC 2026

% Result   : Theorem 4.93s 1.47s
% Output   : Refutation 5.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   86 (  24 unt;   7 def)
%            Number of atoms       :  272 (  69 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  311 ( 125   ~; 114   |;  40   &)
%                                         (   8 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   72 (   0 sgn  58   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( app(X4,X5) != X3
                              | ! [X6] :
                                  ( ssItem(X6)
                                 => app(app(X4,cons(X6,nil)),X5) != X2 ) ) ) )
                    | neq(X0,nil) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( app(X4,X5) != X3
                                | ! [X6] :
                                    ( ssItem(X6)
                                   => app(app(X4,cons(X6,nil)),X5) != X2 ) ) ) )
                      | neq(X0,nil) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( ? [X5] :
                          ( app(X4,X5) = X3
                          & ? [X6] :
                              ( app(app(X4,cons(X6,nil)),X5) = X2
                              & ssItem(X6) )
                          & ssList(X5) )
                      & ssList(X4) )
                  & ~ neq(X0,nil)
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( ? [X5] :
                          ( app(X4,X5) = X3
                          & ? [X6] :
                              ( app(app(X4,cons(X6,nil)),X5) = X2
                              & ssItem(X6) )
                          & ssList(X5) )
                      & ssList(X4) )
                  & ~ neq(X0,nil)
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f100,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f120,plain,
    ( sK1 = sK3
    & sK0 = sK2
    & sK3 = app(sK4,sK5)
    & sK2 = app(app(sK4,cons(sK6,nil)),sK5)
    & ssItem(sK6)
    & ssList(sK5)
    & ssList(sK4)
    & ~ neq(sK0,nil)
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f99]) ).

fof(f123,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X1
              | nil != X0 )
            & ( ( nil = X1
                & nil = X0 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f124,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X1
              | nil != X0 )
            & ( ( nil = X1
                & nil = X0 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f123]) ).

fof(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f127,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f120]) ).

fof(f131,plain,
    ~ neq(sK0,nil),
    inference(cnf_transformation,[],[f120]) ).

fof(f132,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f120]) ).

fof(f133,plain,
    ssList(sK5),
    inference(cnf_transformation,[],[f120]) ).

fof(f134,plain,
    ssItem(sK6),
    inference(cnf_transformation,[],[f120]) ).

fof(f135,plain,
    sK2 = app(app(sK4,cons(sK6,nil)),sK5),
    inference(cnf_transformation,[],[f120]) ).

fof(f137,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f120]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( nil = X0
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( nil = X1
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f165,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f166,plain,
    ~ neq(sK2,nil),
    inference(definition_unfolding,[],[f131,f137]) ).

fof(f168,plain,
    ssList(sK2),
    inference(definition_unfolding,[],[f127,f137]) ).

fof(f171,definition,
    ~ sP12(nil),
    introduced(definition,[new_symbols(definition,[sP12])],[inequality_splitting_name_introduction]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( sP12(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(inequality_splitting,[],[f142,f171]) ).

fof(f176,definition,
    ~ sP15(nil),
    introduced(definition,[new_symbols(definition,[sP15])],[inequality_splitting_name_introduction]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( sP15(app(X0,X1))
      | nil = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(inequality_splitting,[],[f152,f176]) ).

fof(f178,definition,
    ~ sP16(nil),
    introduced(definition,[new_symbols(definition,[sP16])],[inequality_splitting_name_introduction]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( sP16(app(X0,X1))
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(inequality_splitting,[],[f151,f178]) ).

fof(f183,plain,
    ( nil = sK2
    | ~ ssList(nil)
    | ~ ssList(sK2) ),
    inference(resolution,[],[f166,f162]) ).

fof(f185,plain,
    ( nil = sK2
    | ~ ssList(sK2) ),
    inference(forward_subsumption_resolution,[],[f183,f165]) ).

fof(f195,definition,
    ( spl17_3
  <=> nil = sK2 ),
    introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).

fof(f197,plain,
    ( nil = sK2
    | ~ spl17_3 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f199,plain,
    nil = sK2,
    inference(forward_subsumption_resolution,[],[f185,f168]) ).

fof(f200,plain,
    spl17_3,
    inference(avatar_split_clause,[],[f199,f195]) ).

fof(f283,plain,
    ( sP16(sK2)
    | nil = app(sK4,cons(sK6,nil))
    | ~ ssList(sK5)
    | ~ ssList(app(sK4,cons(sK6,nil))) ),
    inference(superposition,[],[f179,f135]) ).

fof(f284,plain,
    ( sP16(sK2)
    | nil = app(sK4,cons(sK6,nil))
    | ~ ssList(app(sK4,cons(sK6,nil))) ),
    inference(forward_subsumption_resolution,[],[f283,f133]) ).

fof(f294,plain,
    ( sP16(nil)
    | nil = app(sK4,cons(sK6,nil))
    | ~ ssList(app(sK4,cons(sK6,nil)))
    | ~ spl17_3 ),
    inference(forward_demodulation,[],[f284,f197]) ).

fof(f304,plain,
    ( nil = app(sK4,cons(sK6,nil))
    | ~ ssList(app(sK4,cons(sK6,nil)))
    | ~ spl17_3 ),
    inference(forward_subsumption_resolution,[],[f294,f178]) ).

fof(f314,definition,
    ( spl17_11
  <=> ssList(app(sK4,cons(sK6,nil))) ),
    introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).

fof(f316,plain,
    ( ~ ssList(app(sK4,cons(sK6,nil)))
    | spl17_11 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f318,definition,
    ( spl17_12
  <=> nil = app(sK4,cons(sK6,nil)) ),
    introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).

fof(f320,plain,
    ( nil = app(sK4,cons(sK6,nil))
    | ~ spl17_12 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f321,plain,
    ( ~ spl17_11
    | spl17_12
    | ~ spl17_3 ),
    inference(avatar_split_clause,[],[f304,f195,f318,f314]) ).

fof(f343,definition,
    ( spl17_17
  <=> ssList(cons(sK6,nil)) ),
    introduced(definition,[new_symbols(definition,[spl17_17])],[avatar_definition]) ).

fof(f344,plain,
    ( ssList(cons(sK6,nil))
    | ~ spl17_17 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f345,plain,
    ( ~ ssList(cons(sK6,nil))
    | spl17_17 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f356,plain,
    ( ~ ssItem(sK6)
    | ~ ssList(nil)
    | spl17_17 ),
    inference(resolution,[],[f345,f149]) ).

fof(f358,plain,
    ( ~ ssList(nil)
    | spl17_17 ),
    inference(forward_subsumption_resolution,[],[f356,f134]) ).

fof(f359,plain,
    ( $false
    | spl17_17 ),
    inference(forward_subsumption_resolution,[],[f358,f165]) ).

fof(f360,plain,
    spl17_17,
    inference(avatar_contradiction_clause,[],[f359]) ).

fof(f372,plain,
    ( ~ ssList(cons(sK6,nil))
    | ~ ssList(sK4)
    | spl17_11 ),
    inference(resolution,[],[f316,f160]) ).

fof(f375,plain,
    ( ~ ssList(sK4)
    | spl17_11
    | ~ spl17_17 ),
    inference(forward_subsumption_resolution,[],[f372,f344]) ).

fof(f376,plain,
    ( $false
    | spl17_11
    | ~ spl17_17 ),
    inference(forward_subsumption_resolution,[],[f375,f132]) ).

fof(f377,plain,
    ( spl17_11
    | ~ spl17_17 ),
    inference(avatar_contradiction_clause,[],[f376]) ).

fof(f466,plain,
    ( sP15(nil)
    | nil = cons(sK6,nil)
    | ~ ssList(cons(sK6,nil))
    | ~ ssList(sK4)
    | ~ spl17_12 ),
    inference(superposition,[],[f177,f320]) ).

fof(f469,plain,
    ( nil = cons(sK6,nil)
    | ~ ssList(cons(sK6,nil))
    | ~ ssList(sK4)
    | ~ spl17_12 ),
    inference(forward_subsumption_resolution,[],[f466,f176]) ).

fof(f479,plain,
    ( nil = cons(sK6,nil)
    | ~ ssList(sK4)
    | ~ spl17_12
    | ~ spl17_17 ),
    inference(forward_subsumption_resolution,[],[f469,f344]) ).

fof(f488,plain,
    ( nil = cons(sK6,nil)
    | ~ spl17_12
    | ~ spl17_17 ),
    inference(forward_subsumption_resolution,[],[f479,f132]) ).

fof(f702,plain,
    ( sP12(nil)
    | ~ ssItem(sK6)
    | ~ ssList(nil)
    | ~ spl17_12
    | ~ spl17_17 ),
    inference(superposition,[],[f172,f488]) ).

fof(f704,plain,
    ( ~ ssItem(sK6)
    | ~ ssList(nil)
    | ~ spl17_12
    | ~ spl17_17 ),
    inference(forward_subsumption_resolution,[],[f702,f171]) ).

fof(f716,plain,
    ( ~ ssList(nil)
    | ~ spl17_12
    | ~ spl17_17 ),
    inference(forward_subsumption_resolution,[],[f704,f134]) ).

fof(f727,plain,
    ( $false
    | ~ spl17_12
    | ~ spl17_17 ),
    inference(forward_subsumption_resolution,[],[f716,f165]) ).

fof(f728,plain,
    ( ~ spl17_12
    | ~ spl17_17 ),
    inference(avatar_contradiction_clause,[],[f727]) ).

cnf(s2,plain,
    spl17_3,
    inference(sat_conversion,[],[f200]) ).

cnf(s8,plain,
    ( ~ spl17_3
    | ~ spl17_11
    | spl17_12 ),
    inference(sat_conversion,[],[f321]) ).

cnf(s17,plain,
    spl17_17,
    inference(sat_conversion,[],[f360]) ).

cnf(s18,plain,
    ( spl17_11
    | ~ spl17_17 ),
    inference(sat_conversion,[],[f377]) ).

cnf(s28,plain,
    ( ~ spl17_12
    | ~ spl17_17 ),
    inference(sat_conversion,[],[f728]) ).

cnf(s29,plain,
    ~ spl17_12,
    inference(rat,[],[s28,s17]) ).

cnf(s30,plain,
    spl17_11,
    inference(rat,[],[s18,s17]) ).

cnf(s39,plain,
    ~ spl17_3,
    inference(rat,[],[s8,s29,s30]) ).

cnf(s40,plain,
    $false,
    inference(rat,[],[s2,s39]) ).

fof(f734,plain,
    $false,
    inference(avatar_sat_refutation,[],[s40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC218+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.24  % Computer : n016.cluster.edu
% 0.12/0.24  % Model    : x86_64 x86_64
% 0.12/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.24  % Memory   : 8046.5625MB
% 0.12/0.24  % OS       : Linux 6.8.0-71-generic
% 0.12/0.24  % CPULimit : 300
% 0.12/0.24  % WCLimit  : 300
% 0.12/0.24  % DateTime : Mon Sep 28 08:37:03 UTC 2026
% 0.12/0.24  % CPUTime  : 
% 0.12/0.24  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.30  Running first-order theorem proving
% 0.23/0.30  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
% 4.93/1.47  % (3478102)Detected formulas, will run a generic FOF schedule.
% 4.93/1.47  % (3478107)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=203211577:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.93/1.47  % (3478111)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1856472112:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.93/1.47  % (3478112)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1956643476:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.93/1.47  % (3478113)dis-21_1_sil=8000:lcm=predicate:random_seed=2822293172: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)
% 4.93/1.47  % (3478108)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=3305660388:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.93/1.47  % (3478110)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3190117423:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.93/1.47  % (3478109)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=2706959823:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.93/1.47  % (3478110)First to succeed.
% 4.93/1.47  % (3478110)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3478102"
% 4.93/1.47  % (3478112)Also succeeded, but the first one will report.
% 4.93/1.47  % (3478111)Also succeeded, but the first one will report.
% 4.93/1.47  % (3478113)Instruction limit reached! 
% 4.93/1.47  % (3478113)------------------------------
% 4.93/1.47  % (3478113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.47  % (3478113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.47  % (3478113)CaDiCaL version: 2.1.3
% 4.93/1.47  % (3478113)Termination reason: Instruction limit
% 4.93/1.47  % (3478113)Termination phase: Saturation
% 4.93/1.47  % (3478113)Time elapsed: 0.121 s
% 4.93/1.47  % (3478113)Peak memory usage: 90 MB
% 4.93/1.47  % (3478113)Instructions burned: 129 (million)
% 4.93/1.47  % (3478121)lrs+10_1_sil=8000:sp=occurrence:random_seed=2317918805:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.93/1.47  % (3478121)Also succeeded, but the first one will report.
% 4.93/1.47  % (3478110)Refutation found. Thanks to Tanya!
% 4.93/1.47  % SZS status Theorem for theBenchmark
% 4.93/1.47  % SZS output start Proof for theBenchmark
% See solution above
% 5.77/1.67  % (3478110)------------------------------
% 5.77/1.67  % (3478110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/1.67  % (3478110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.67  % (3478110)CaDiCaL version: 2.1.3
% 5.77/1.67  % (3478110)Termination reason: Refutation
% 5.77/1.67  % (3478110)Time elapsed: 0.020 s
% 5.77/1.67  % (3478110)Peak memory usage: 89 MB
% 5.77/1.67  % (3478110)Instructions burned: 18 (million)
% 5.77/1.67  % (3478110)------------------------------
% 5.77/1.67  % (3478110)------------------------------
% 5.77/1.67  % (3478102)Success in time 0.719 s
% 5.77/1.67  % Vampire exiting
%------------------------------------------------------------------------------