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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC024+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:02:05 PM UTC 2026

% Result   : Theorem 1.71s 1.12s
% Output   : Refutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   82 (  23 unt;   6 def)
%            Number of atoms       :  291 (  63 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  347 ( 138   ~; 124   |;  61   &)
%                                         (   9 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   79 (   0 sgn  57   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f42,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ~ neq(X1,nil)
                    | ? [X4] :
                        ( ssList(X4)
                        & neq(X4,nil)
                        & frontsegP(X1,X4)
                        & frontsegP(X0,X4) )
                    | ! [X5] :
                        ( ssList(X5)
                       => ( app(X2,X5) != X3
                          | ~ equalelemsP(X2)
                          | ? [X6] :
                              ( ssItem(X6)
                              & ? [X7] :
                                  ( ssList(X7)
                                  & app(cons(X6,nil),X7) = X5
                                  & ? [X8] :
                                      ( ssList(X8)
                                      & app(X8,cons(X6,nil)) = X2 ) ) ) ) )
                    | ( nil != X3
                      & nil = X2 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ~ neq(X1,nil)
                      | ? [X4] :
                          ( ssList(X4)
                          & neq(X4,nil)
                          & frontsegP(X1,X4)
                          & frontsegP(X0,X4) )
                      | ! [X5] :
                          ( ssList(X5)
                         => ( app(X2,X5) != X3
                            | ~ equalelemsP(X2)
                            | ? [X6] :
                                ( ssItem(X6)
                                & ? [X7] :
                                    ( ssList(X7)
                                    & app(cons(X6,nil),X7) = X5
                                    & ? [X8] :
                                        ( ssList(X8)
                                        & app(X8,cons(X6,nil)) = X2 ) ) ) ) )
                      | ( nil != X3
                        & nil = X2 ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & neq(X1,nil)
                  & ! [X4] :
                      ( ~ ssList(X4)
                      | ~ neq(X4,nil)
                      | ~ frontsegP(X1,X4)
                      | ~ frontsegP(X0,X4) )
                  & ? [X5] :
                      ( app(X2,X5) = X3
                      & equalelemsP(X2)
                      & ! [X6] :
                          ( ~ ssItem(X6)
                          | ! [X7] :
                              ( ~ ssList(X7)
                              | app(cons(X6,nil),X7) != X5
                              | ! [X8] :
                                  ( ~ ssList(X8)
                                  | app(X8,cons(X6,nil)) != X2 ) ) )
                      & ssList(X5) )
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & neq(X1,nil)
                  & ! [X4] :
                      ( ~ ssList(X4)
                      | ~ neq(X4,nil)
                      | ~ frontsegP(X1,X4)
                      | ~ frontsegP(X0,X4) )
                  & ? [X5] :
                      ( app(X2,X5) = X3
                      & equalelemsP(X2)
                      & ! [X6] :
                          ( ~ ssItem(X6)
                          | ! [X7] :
                              ( ~ ssList(X7)
                              | app(cons(X6,nil),X7) != X5
                              | ! [X8] :
                                  ( ~ ssList(X8)
                                  | app(X8,cons(X6,nil)) != X2 ) ) )
                      & ssList(X5) )
                  & ( nil = X3
                    | nil != X2 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

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

fof(f125,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f134,plain,
    ( sK1 = sK3
    & sK0 = sK2
    & neq(sK1,nil)
    & ! [X4] :
        ( ~ ssList(X4)
        | ~ neq(X4,nil)
        | ~ frontsegP(sK1,X4)
        | ~ frontsegP(sK0,X4) )
    & sK3 = app(sK2,sK4)
    & equalelemsP(sK2)
    & ! [X6] :
        ( ~ ssItem(X6)
        | ! [X7] :
            ( ~ ssList(X7)
            | app(cons(X6,nil),X7) != sK4
            | ! [X8] :
                ( ~ ssList(X8)
                | app(X8,cons(X6,nil)) != sK2 ) ) )
    & ssList(sK4)
    & ( nil = sK3
      | nil != sK2 )
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X5,sK4)],[f99]) ).

fof(f139,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f144,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f145,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X3] :
                  ( ssList(X3)
                  & app(X1,X3) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f144]) ).

fof(f146,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ( ssList(sK9(X0,X1))
                & app(X1,sK9(X0,X1)) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f145]) ).

fof(f150,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f134]) ).

fof(f151,plain,
    ssList(sK1),
    inference(cnf_transformation,[],[f134]) ).

fof(f154,plain,
    ( nil = sK3
    | nil != sK2 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f155,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f134]) ).

fof(f158,plain,
    sK3 = app(sK2,sK4),
    inference(cnf_transformation,[],[f134]) ).

fof(f159,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | ~ neq(X4,nil)
      | ~ frontsegP(sK1,X4)
      | ~ frontsegP(sK0,X4) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f160,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f134]) ).

fof(f161,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f134]) ).

fof(f162,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f134]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f189,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f197,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ ssList(X2)
      | app(X1,X2) != X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f212,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f160,f162]) ).

fof(f213,plain,
    ! [X4] :
      ( ~ frontsegP(sK3,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4)
      | ~ frontsegP(sK2,X4) ),
    inference(definition_unfolding,[],[f159,f162,f161]) ).

fof(f214,plain,
    ssList(sK3),
    inference(definition_unfolding,[],[f151,f162]) ).

fof(f215,plain,
    ssList(sK2),
    inference(definition_unfolding,[],[f150,f161]) ).

fof(f219,definition,
    ~ sP16(nil),
    introduced(definition,[new_symbols(definition,[sP16])],[inequality_splitting_name_introduction]) ).

fof(f220,plain,
    ( nil = sK3
    | sP16(sK2) ),
    inference(inequality_splitting,[],[f154,f219]) ).

fof(f234,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f185]) ).

fof(f237,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f202]) ).

fof(f241,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f234]) ).

fof(f245,definition,
    ( spl25_1
  <=> sP16(sK2) ),
    introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).

fof(f247,plain,
    ( sP16(sK2)
    | ~ spl25_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f249,definition,
    ( spl25_2
  <=> nil = sK3 ),
    introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).

fof(f251,plain,
    ( nil = sK3
    | ~ spl25_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,plain,
    ( spl25_1
    | spl25_2 ),
    inference(avatar_split_clause,[],[f220,f249,f245]) ).

fof(f253,plain,
    ( neq(nil,nil)
    | ~ spl25_2 ),
    inference(superposition,[],[f212,f251]) ).

fof(f266,plain,
    ( frontsegP(sK3,sK2)
    | ~ ssList(sK4)
    | ~ ssList(sK2)
    | ~ ssList(sK3) ),
    inference(superposition,[],[f237,f158]) ).

fof(f267,plain,
    ( frontsegP(sK3,sK2)
    | ~ ssList(sK2)
    | ~ ssList(sK3) ),
    inference(forward_subsumption_resolution,[],[f266,f155]) ).

fof(f276,plain,
    ( frontsegP(sK3,sK2)
    | ~ ssList(sK3) ),
    inference(forward_subsumption_resolution,[],[f267,f215]) ).

fof(f285,plain,
    frontsegP(sK3,sK2),
    inference(forward_subsumption_resolution,[],[f276,f214]) ).

fof(f298,plain,
    ( ~ ssList(nil)
    | ~ spl25_2 ),
    inference(resolution,[],[f253,f241]) ).

fof(f299,plain,
    ( $false
    | ~ spl25_2 ),
    inference(forward_subsumption_resolution,[],[f298,f189]) ).

fof(f300,plain,
    ~ spl25_2,
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f304,definition,
    ( spl25_3
  <=> nil = sK2 ),
    introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).

fof(f306,plain,
    ( nil = sK2
    | ~ spl25_3 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f370,plain,
    ( ~ neq(sK2,nil)
    | ~ ssList(sK2)
    | ~ frontsegP(sK2,sK2) ),
    inference(resolution,[],[f213,f285]) ).

fof(f374,plain,
    ( ~ neq(sK2,nil)
    | ~ frontsegP(sK2,sK2) ),
    inference(forward_subsumption_resolution,[],[f370,f215]) ).

fof(f376,definition,
    ( spl25_14
  <=> frontsegP(sK2,sK2) ),
    introduced(definition,[new_symbols(definition,[spl25_14])],[avatar_definition]) ).

fof(f378,plain,
    ( ~ frontsegP(sK2,sK2)
    | spl25_14 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f380,definition,
    ( spl25_15
  <=> neq(sK2,nil) ),
    introduced(definition,[new_symbols(definition,[spl25_15])],[avatar_definition]) ).

fof(f382,plain,
    ( ~ neq(sK2,nil)
    | spl25_15 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f383,plain,
    ( ~ spl25_14
    | ~ spl25_15 ),
    inference(avatar_split_clause,[],[f374,f380,f376]) ).

fof(f416,plain,
    ( ~ ssList(sK2)
    | spl25_14 ),
    inference(resolution,[],[f378,f197]) ).

fof(f417,plain,
    ( $false
    | spl25_14 ),
    inference(forward_subsumption_resolution,[],[f416,f215]) ).

fof(f418,plain,
    spl25_14,
    inference(avatar_contradiction_clause,[],[f417]) ).

fof(f447,plain,
    ( nil = sK2
    | ~ ssList(nil)
    | ~ ssList(sK2)
    | spl25_15 ),
    inference(resolution,[],[f382,f186]) ).

fof(f448,plain,
    ( nil = sK2
    | ~ ssList(sK2)
    | spl25_15 ),
    inference(forward_subsumption_resolution,[],[f447,f189]) ).

fof(f458,plain,
    ( nil = sK2
    | spl25_15 ),
    inference(forward_subsumption_resolution,[],[f448,f215]) ).

fof(f459,plain,
    ( spl25_3
    | spl25_15 ),
    inference(avatar_split_clause,[],[f458,f380,f304]) ).

fof(f464,plain,
    ( sP16(nil)
    | ~ spl25_1
    | ~ spl25_3 ),
    inference(superposition,[],[f247,f306]) ).

fof(f474,plain,
    ( $false
    | ~ spl25_1
    | ~ spl25_3 ),
    inference(forward_subsumption_resolution,[],[f464,f219]) ).

fof(f475,plain,
    ( ~ spl25_1
    | ~ spl25_3 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

cnf(s1,plain,
    ( spl25_1
    | spl25_2 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s2,plain,
    ~ spl25_2,
    inference(sat_conversion,[],[f300]) ).

cnf(s9,plain,
    ( ~ spl25_14
    | ~ spl25_15 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s12,plain,
    spl25_14,
    inference(sat_conversion,[],[f418]) ).

cnf(s15,plain,
    ( spl25_3
    | spl25_15 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s17,plain,
    ( ~ spl25_1
    | ~ spl25_3 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s19,plain,
    ~ spl25_15,
    inference(rat,[],[s9,s12]) ).

cnf(s20,plain,
    spl25_3,
    inference(rat,[],[s15,s19]) ).

cnf(s22,plain,
    ~ spl25_1,
    inference(rat,[],[s17,s20]) ).

cnf(s28,plain,
    $false,
    inference(rat,[],[s1,s2,s22]) ).

fof(f477,plain,
    $false,
    inference(avatar_sat_refutation,[],[s28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC024+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n009.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 28 07:29:45 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 1.71/1.12  % (2860650)Detected formulas, will run a generic FOF schedule.
% 1.71/1.12  % (2860658)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=131670487:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.71/1.12  % (2860658)First to succeed.
% 1.71/1.12  % (2860658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2860650"
% 1.71/1.12  % (2860660)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1899777392:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.71/1.12  % (2860659)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1789450898:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.71/1.12  % (2860655)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=850863732:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.71/1.12  % (2860661)dis-21_1_sil=8000:lcm=predicate:random_seed=4260092985: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)
% 1.71/1.12  % (2860656)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=2262511444:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.71/1.12  % (2860657)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=1636563858:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.71/1.12  % (2860659)Also succeeded, but the first one will report.
% 1.71/1.12  % (2860660)Also succeeded, but the first one will report.
% 1.71/1.12  % (2860661)Instruction limit reached! 
% 1.71/1.12  % (2860661)------------------------------
% 1.71/1.12  % (2860661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.71/1.12  % (2860661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/1.12  % (2860661)CaDiCaL version: 2.1.3
% 1.71/1.12  % (2860661)Termination reason: Instruction limit
% 1.71/1.12  % (2860661)Termination phase: Saturation
% 1.71/1.12  % (2860661)Time elapsed: 0.075 s
% 1.71/1.12  % (2860661)Peak memory usage: 90 MB
% 1.71/1.12  % (2860661)Instructions burned: 129 (million)
% 1.71/1.12  % (2860658)Refutation found. Thanks to Tanya!
% 1.71/1.12  % SZS status Theorem for theBenchmark
% 1.71/1.12  % SZS output start Proof for theBenchmark
% See solution above
% 2.56/1.31  % (2860658)------------------------------
% 2.56/1.31  % (2860658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.31  % (2860658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.31  % (2860658)CaDiCaL version: 2.1.3
% 2.56/1.31  % (2860658)Termination reason: Refutation
% 2.56/1.31  % (2860658)Time elapsed: 0.005 s
% 2.56/1.31  % (2860658)Peak memory usage: 89 MB
% 2.56/1.31  % (2860658)Instructions burned: 11 (million)
% 2.56/1.31  % (2860658)------------------------------
% 2.56/1.31  % (2860658)------------------------------
% 2.56/1.31  % (2860650)Success in time 0.273 s
% 2.56/1.31  % Vampire exiting
%------------------------------------------------------------------------------