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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWX060+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 01:45:47 PM UTC 2026

% Result   : Theorem 6.96s 1.55s
% Output   : Refutation 8.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  141 (  25 unt;  13 def)
%            Number of atoms       :  463 (   0 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  541 ( 219   ~; 243   |;  56   &)
%                                         (  15 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  15 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  120 (   0 sgn 110   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0,X1,X2] :
      ( member2_terminates(X0,X1,X2)
     => ( member2_succeeds(X0,X1,X2)
        | member2_fails(X0,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id15) ).

fof(f17,axiom,
    ! [X0,X1,X2] :
      ( occ_terminates(X0,X1,X2)
     => ( occ_succeeds(X0,X1,X2)
        | occ_fails(X0,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id17) ).

fof(f54,axiom,
    ! [X0,X1] :
      ( not_same_occ_terminates(X0,X1)
    <=> ! [X2,X3,X4] :
          ( member2_terminates(X2,X0,X1)
          & ( member2_fails(X2,X0,X1)
            | ( occ_terminates(X2,X0,X3)
              & ( occ_fails(X2,X0,X3)
                | ( occ_terminates(X2,X1,X4)
                  & ( occ_fails(X2,X1,X4)
                    | ( $true
                      & gr(X3)
                      & gr(X4) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id54) ).

fof(f277,axiom,
    ! [X0,X1,X2] :
      ( ( list_succeeds(X1)
        & list_succeeds(X2) )
     => member2_terminates(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(member2:termination)') ).

fof(f278,axiom,
    ! [X0,X1,X2] :
      ( ( list_succeeds(X1)
        & gr(X1)
        & gr(X0) )
     => occ_terminates(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:termination)') ).

fof(f279,axiom,
    ! [X0,X1,X2] :
      ( ( member2_succeeds(X0,X1,X2)
        & gr(X1)
        & gr(X2) )
     => gr(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(member2:ground)') ).

fof(f280,axiom,
    ! [X0,X1,X2] :
      ( occ_succeeds(X0,X1,X2)
     => gr(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:ground)') ).

fof(f282,conjecture,
    ! [X0,X1] :
      ( ( list_succeeds(X0)
        & list_succeeds(X1)
        & gr(X0)
        & gr(X1) )
     => not_same_occ_terminates(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(not_same_occ:termination)') ).

fof(f283,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( list_succeeds(X0)
          & list_succeeds(X1)
          & gr(X0)
          & gr(X1) )
       => not_same_occ_terminates(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f282]) ).

fof(f286,plain,
    ! [X0,X1] :
      ( not_same_occ_terminates(X0,X1)
    <=> ! [X2,X3,X4] :
          ( member2_terminates(X2,X0,X1)
          & ( member2_fails(X2,X0,X1)
            | ( occ_terminates(X2,X0,X3)
              & ( occ_fails(X2,X0,X3)
                | ( occ_terminates(X2,X1,X4)
                  & ( occ_fails(X2,X1,X4)
                    | ( gr(X3)
                      & gr(X4) ) ) ) ) ) ) ) ),
    inference(true_and_false_elimination,[],[f54]) ).

fof(f314,plain,
    ! [X0,X1,X2] :
      ( member2_succeeds(X0,X1,X2)
      | member2_fails(X0,X1,X2)
      | ~ member2_terminates(X0,X1,X2) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f315,plain,
    ! [X0,X1,X2] :
      ( member2_succeeds(X0,X1,X2)
      | member2_fails(X0,X1,X2)
      | ~ member2_terminates(X0,X1,X2) ),
    inference(flattening,[],[f314]) ).

fof(f317,plain,
    ! [X0,X1,X2] :
      ( occ_succeeds(X0,X1,X2)
      | occ_fails(X0,X1,X2)
      | ~ occ_terminates(X0,X1,X2) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f318,plain,
    ! [X0,X1,X2] :
      ( occ_succeeds(X0,X1,X2)
      | occ_fails(X0,X1,X2)
      | ~ occ_terminates(X0,X1,X2) ),
    inference(flattening,[],[f317]) ).

fof(f638,plain,
    ! [X0,X1,X2] :
      ( member2_terminates(X0,X1,X2)
      | ~ list_succeeds(X1)
      | ~ list_succeeds(X2) ),
    inference(ennf_transformation,[],[f277]) ).

fof(f639,plain,
    ! [X0,X1,X2] :
      ( member2_terminates(X0,X1,X2)
      | ~ list_succeeds(X1)
      | ~ list_succeeds(X2) ),
    inference(flattening,[],[f638]) ).

fof(f640,plain,
    ! [X0,X1,X2] :
      ( occ_terminates(X0,X1,X2)
      | ~ list_succeeds(X1)
      | ~ gr(X1)
      | ~ gr(X0) ),
    inference(ennf_transformation,[],[f278]) ).

fof(f641,plain,
    ! [X0,X1,X2] :
      ( occ_terminates(X0,X1,X2)
      | ~ list_succeeds(X1)
      | ~ gr(X1)
      | ~ gr(X0) ),
    inference(flattening,[],[f640]) ).

fof(f642,plain,
    ! [X0,X1,X2] :
      ( gr(X0)
      | ~ member2_succeeds(X0,X1,X2)
      | ~ gr(X1)
      | ~ gr(X2) ),
    inference(ennf_transformation,[],[f279]) ).

fof(f643,plain,
    ! [X0,X1,X2] :
      ( gr(X0)
      | ~ member2_succeeds(X0,X1,X2)
      | ~ gr(X1)
      | ~ gr(X2) ),
    inference(flattening,[],[f642]) ).

fof(f644,plain,
    ! [X0,X1,X2] :
      ( gr(X2)
      | ~ occ_succeeds(X0,X1,X2) ),
    inference(ennf_transformation,[],[f280]) ).

fof(f647,plain,
    ? [X0,X1] :
      ( ~ not_same_occ_terminates(X0,X1)
      & list_succeeds(X0)
      & list_succeeds(X1)
      & gr(X0)
      & gr(X1) ),
    inference(ennf_transformation,[],[f283]) ).

fof(f648,plain,
    ? [X0,X1] :
      ( ~ not_same_occ_terminates(X0,X1)
      & list_succeeds(X0)
      & list_succeeds(X1)
      & gr(X0)
      & gr(X1) ),
    inference(flattening,[],[f647]) ).

fof(f676,plain,
    ! [X0,X1] :
      ( ( not_same_occ_terminates(X0,X1)
        | ? [X2,X3,X4] :
            ( ~ member2_terminates(X2,X0,X1)
            | ( ~ member2_fails(X2,X0,X1)
              & ( ~ occ_terminates(X2,X0,X3)
                | ( ~ occ_fails(X2,X0,X3)
                  & ( ~ occ_terminates(X2,X1,X4)
                    | ( ~ occ_fails(X2,X1,X4)
                      & ( ~ gr(X3)
                        | ~ gr(X4) ) ) ) ) ) ) ) )
      & ( ! [X2,X3,X4] :
            ( member2_terminates(X2,X0,X1)
            & ( member2_fails(X2,X0,X1)
              | ( occ_terminates(X2,X0,X3)
                & ( occ_fails(X2,X0,X3)
                  | ( occ_terminates(X2,X1,X4)
                    & ( occ_fails(X2,X1,X4)
                      | ( gr(X3)
                        & gr(X4) ) ) ) ) ) ) )
        | ~ not_same_occ_terminates(X0,X1) ) ),
    inference(nnf_transformation,[],[f286]) ).

fof(f677,plain,
    ! [X0,X1] :
      ( ( not_same_occ_terminates(X0,X1)
        | ? [X2,X3,X4] :
            ( ~ member2_terminates(X2,X0,X1)
            | ( ~ member2_fails(X2,X0,X1)
              & ( ~ occ_terminates(X2,X0,X3)
                | ( ~ occ_fails(X2,X0,X3)
                  & ( ~ occ_terminates(X2,X1,X4)
                    | ( ~ occ_fails(X2,X1,X4)
                      & ( ~ gr(X3)
                        | ~ gr(X4) ) ) ) ) ) ) ) )
      & ( ! [X5,X6,X7] :
            ( member2_terminates(X5,X0,X1)
            & ( member2_fails(X5,X0,X1)
              | ( occ_terminates(X5,X0,X6)
                & ( occ_fails(X5,X0,X6)
                  | ( occ_terminates(X5,X1,X7)
                    & ( occ_fails(X5,X1,X7)
                      | ( gr(X6)
                        & gr(X7) ) ) ) ) ) ) )
        | ~ not_same_occ_terminates(X0,X1) ) ),
    inference(rectify,[],[f676]) ).

fof(f678,plain,
    ! [X0,X1] :
      ( ( not_same_occ_terminates(X0,X1)
        | ~ member2_terminates(sK18(X0,X1),X0,X1)
        | ( ~ member2_fails(sK18(X0,X1),X0,X1)
          & ( ~ occ_terminates(sK18(X0,X1),X0,sK19(X0,X1))
            | ( ~ occ_fails(sK18(X0,X1),X0,sK19(X0,X1))
              & ( ~ occ_terminates(sK18(X0,X1),X1,sK20(X0,X1))
                | ( ~ occ_fails(sK18(X0,X1),X1,sK20(X0,X1))
                  & ( ~ gr(sK19(X0,X1))
                    | ~ gr(sK20(X0,X1)) ) ) ) ) ) ) )
      & ( ! [X5,X6,X7] :
            ( member2_terminates(X5,X0,X1)
            & ( member2_fails(X5,X0,X1)
              | ( occ_terminates(X5,X0,X6)
                & ( occ_fails(X5,X0,X6)
                  | ( occ_terminates(X5,X1,X7)
                    & ( occ_fails(X5,X1,X7)
                      | ( gr(X6)
                        & gr(X7) ) ) ) ) ) ) )
        | ~ not_same_occ_terminates(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X2,sK18(X0,X1)),skolemize(X3,sK19(X0,X1)),skolemize(X4,sK20(X0,X1))],[f677]) ).

fof(f837,plain,
    ( ~ not_same_occ_terminates(sK127,sK128)
    & list_succeeds(sK127)
    & list_succeeds(sK128)
    & gr(sK127)
    & gr(sK128) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK127,sK128]),skolemize(X0,sK127),skolemize(X1,sK128)],[f648]) ).

fof(f855,plain,
    ! [X2,X0,X1] :
      ( member2_succeeds(X0,X1,X2)
      | member2_fails(X0,X1,X2)
      | ~ member2_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f857,plain,
    ! [X2,X0,X1] :
      ( occ_succeeds(X0,X1,X2)
      | occ_fails(X0,X1,X2)
      | ~ occ_terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f318]) ).

fof(f965,plain,
    ! [X0,X1] :
      ( not_same_occ_terminates(X0,X1)
      | ~ member2_terminates(sK18(X0,X1),X0,X1)
      | ~ occ_terminates(sK18(X0,X1),X0,sK19(X0,X1))
      | ~ occ_terminates(sK18(X0,X1),X1,sK20(X0,X1))
      | ~ gr(sK19(X0,X1))
      | ~ gr(sK20(X0,X1)) ),
    inference(cnf_transformation,[],[f678]) ).

fof(f966,plain,
    ! [X0,X1] :
      ( not_same_occ_terminates(X0,X1)
      | ~ member2_terminates(sK18(X0,X1),X0,X1)
      | ~ occ_terminates(sK18(X0,X1),X0,sK19(X0,X1))
      | ~ occ_terminates(sK18(X0,X1),X1,sK20(X0,X1))
      | ~ occ_fails(sK18(X0,X1),X1,sK20(X0,X1)) ),
    inference(cnf_transformation,[],[f678]) ).

fof(f967,plain,
    ! [X0,X1] :
      ( not_same_occ_terminates(X0,X1)
      | ~ member2_terminates(sK18(X0,X1),X0,X1)
      | ~ occ_terminates(sK18(X0,X1),X0,sK19(X0,X1))
      | ~ occ_fails(sK18(X0,X1),X0,sK19(X0,X1)) ),
    inference(cnf_transformation,[],[f678]) ).

fof(f968,plain,
    ! [X0,X1] :
      ( not_same_occ_terminates(X0,X1)
      | ~ member2_terminates(sK18(X0,X1),X0,X1)
      | ~ member2_fails(sK18(X0,X1),X0,X1) ),
    inference(cnf_transformation,[],[f678]) ).

fof(f1371,plain,
    ! [X2,X0,X1] :
      ( member2_terminates(X0,X1,X2)
      | ~ list_succeeds(X1)
      | ~ list_succeeds(X2) ),
    inference(cnf_transformation,[],[f639]) ).

fof(f1372,plain,
    ! [X2,X0,X1] :
      ( occ_terminates(X0,X1,X2)
      | ~ list_succeeds(X1)
      | ~ gr(X1)
      | ~ gr(X0) ),
    inference(cnf_transformation,[],[f641]) ).

fof(f1373,plain,
    ! [X2,X0,X1] :
      ( gr(X0)
      | ~ member2_succeeds(X0,X1,X2)
      | ~ gr(X1)
      | ~ gr(X2) ),
    inference(cnf_transformation,[],[f643]) ).

fof(f1374,plain,
    ! [X2,X0,X1] :
      ( gr(X2)
      | ~ occ_succeeds(X0,X1,X2) ),
    inference(cnf_transformation,[],[f644]) ).

fof(f1382,plain,
    gr(sK128),
    inference(cnf_transformation,[],[f837]) ).

fof(f1383,plain,
    gr(sK127),
    inference(cnf_transformation,[],[f837]) ).

fof(f1384,plain,
    list_succeeds(sK128),
    inference(cnf_transformation,[],[f837]) ).

fof(f1385,plain,
    list_succeeds(sK127),
    inference(cnf_transformation,[],[f837]) ).

fof(f1386,plain,
    ~ not_same_occ_terminates(sK127,sK128),
    inference(cnf_transformation,[],[f837]) ).

fof(f1533,definition,
    ( spl144_1
  <=> not_same_occ_terminates(sK127,sK128) ),
    introduced(definition,[new_symbols(definition,[spl144_1])],[avatar_definition]) ).

fof(f1535,plain,
    ( ~ not_same_occ_terminates(sK127,sK128)
    | spl144_1 ),
    inference(avatar_component_clause,[],[f1533]) ).

fof(f1536,plain,
    ~ spl144_1,
    inference(avatar_split_clause,[],[f1386,f1533]) ).

fof(f1537,plain,
    ( ~ member2_terminates(sK18(sK127,sK128),sK127,sK128)
    | ~ occ_terminates(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | ~ occ_terminates(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | ~ gr(sK19(sK127,sK128))
    | ~ gr(sK20(sK127,sK128))
    | spl144_1 ),
    inference(resolution,[],[f1535,f965]) ).

fof(f1538,plain,
    ( ~ member2_terminates(sK18(sK127,sK128),sK127,sK128)
    | ~ occ_terminates(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | ~ occ_terminates(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | ~ occ_fails(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | spl144_1 ),
    inference(resolution,[],[f1535,f966]) ).

fof(f1539,plain,
    ( ~ member2_terminates(sK18(sK127,sK128),sK127,sK128)
    | ~ occ_terminates(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | ~ occ_fails(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | spl144_1 ),
    inference(resolution,[],[f1535,f967]) ).

fof(f1540,plain,
    ( ~ member2_terminates(sK18(sK127,sK128),sK127,sK128)
    | ~ member2_fails(sK18(sK127,sK128),sK127,sK128)
    | spl144_1 ),
    inference(resolution,[],[f1535,f968]) ).

fof(f1577,definition,
    ( spl144_2
  <=> list_succeeds(sK128) ),
    introduced(definition,[new_symbols(definition,[spl144_2])],[avatar_definition]) ).

fof(f1579,plain,
    ( list_succeeds(sK128)
    | ~ spl144_2 ),
    inference(avatar_component_clause,[],[f1577]) ).

fof(f1580,plain,
    spl144_2,
    inference(avatar_split_clause,[],[f1384,f1577]) ).

fof(f1582,definition,
    ( spl144_3
  <=> gr(sK128) ),
    introduced(definition,[new_symbols(definition,[spl144_3])],[avatar_definition]) ).

fof(f1584,plain,
    ( gr(sK128)
    | ~ spl144_3 ),
    inference(avatar_component_clause,[],[f1582]) ).

fof(f1585,plain,
    spl144_3,
    inference(avatar_split_clause,[],[f1382,f1582]) ).

fof(f1587,definition,
    ( spl144_4
  <=> list_succeeds(sK127) ),
    introduced(definition,[new_symbols(definition,[spl144_4])],[avatar_definition]) ).

fof(f1589,plain,
    ( list_succeeds(sK127)
    | ~ spl144_4 ),
    inference(avatar_component_clause,[],[f1587]) ).

fof(f1590,plain,
    spl144_4,
    inference(avatar_split_clause,[],[f1385,f1587]) ).

fof(f1592,definition,
    ( spl144_5
  <=> gr(sK127) ),
    introduced(definition,[new_symbols(definition,[spl144_5])],[avatar_definition]) ).

fof(f1594,plain,
    ( gr(sK127)
    | ~ spl144_5 ),
    inference(avatar_component_clause,[],[f1592]) ).

fof(f1595,plain,
    spl144_5,
    inference(avatar_split_clause,[],[f1383,f1592]) ).

fof(f2007,definition,
    ( spl144_11
  <=> gr(sK20(sK127,sK128)) ),
    introduced(definition,[new_symbols(definition,[spl144_11])],[avatar_definition]) ).

fof(f2009,plain,
    ( ~ gr(sK20(sK127,sK128))
    | spl144_11 ),
    inference(avatar_component_clause,[],[f2007]) ).

fof(f2011,definition,
    ( spl144_12
  <=> gr(sK19(sK127,sK128)) ),
    introduced(definition,[new_symbols(definition,[spl144_12])],[avatar_definition]) ).

fof(f2013,plain,
    ( ~ gr(sK19(sK127,sK128))
    | spl144_12 ),
    inference(avatar_component_clause,[],[f2011]) ).

fof(f2015,definition,
    ( spl144_13
  <=> occ_terminates(sK18(sK127,sK128),sK128,sK20(sK127,sK128)) ),
    introduced(definition,[new_symbols(definition,[spl144_13])],[avatar_definition]) ).

fof(f2016,plain,
    ( occ_terminates(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | ~ spl144_13 ),
    inference(avatar_component_clause,[],[f2015]) ).

fof(f2017,plain,
    ( ~ occ_terminates(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | spl144_13 ),
    inference(avatar_component_clause,[],[f2015]) ).

fof(f2019,definition,
    ( spl144_14
  <=> occ_terminates(sK18(sK127,sK128),sK127,sK19(sK127,sK128)) ),
    introduced(definition,[new_symbols(definition,[spl144_14])],[avatar_definition]) ).

fof(f2020,plain,
    ( occ_terminates(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | ~ spl144_14 ),
    inference(avatar_component_clause,[],[f2019]) ).

fof(f2021,plain,
    ( ~ occ_terminates(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | spl144_14 ),
    inference(avatar_component_clause,[],[f2019]) ).

fof(f2023,definition,
    ( spl144_15
  <=> member2_terminates(sK18(sK127,sK128),sK127,sK128) ),
    introduced(definition,[new_symbols(definition,[spl144_15])],[avatar_definition]) ).

fof(f2024,plain,
    ( member2_terminates(sK18(sK127,sK128),sK127,sK128)
    | ~ spl144_15 ),
    inference(avatar_component_clause,[],[f2023]) ).

fof(f2025,plain,
    ( ~ member2_terminates(sK18(sK127,sK128),sK127,sK128)
    | spl144_15 ),
    inference(avatar_component_clause,[],[f2023]) ).

fof(f2026,plain,
    ( ~ spl144_11
    | ~ spl144_12
    | ~ spl144_13
    | ~ spl144_14
    | ~ spl144_15
    | spl144_1 ),
    inference(avatar_split_clause,[],[f1537,f1533,f2023,f2019,f2015,f2011,f2007]) ).

fof(f2053,definition,
    ( spl144_16
  <=> occ_fails(sK18(sK127,sK128),sK128,sK20(sK127,sK128)) ),
    introduced(definition,[new_symbols(definition,[spl144_16])],[avatar_definition]) ).

fof(f2055,plain,
    ( ~ occ_fails(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | spl144_16 ),
    inference(avatar_component_clause,[],[f2053]) ).

fof(f2056,plain,
    ( ~ spl144_16
    | ~ spl144_13
    | ~ spl144_14
    | ~ spl144_15
    | spl144_1 ),
    inference(avatar_split_clause,[],[f1538,f1533,f2023,f2019,f2015,f2053]) ).

fof(f2066,plain,
    ( ~ list_succeeds(sK128)
    | ~ gr(sK128)
    | ~ gr(sK18(sK127,sK128))
    | spl144_13 ),
    inference(resolution,[],[f2017,f1372]) ).

fof(f2071,plain,
    ( ~ gr(sK128)
    | ~ gr(sK18(sK127,sK128))
    | ~ spl144_2
    | spl144_13 ),
    inference(forward_subsumption_resolution,[],[f2066,f1579]) ).

fof(f2072,plain,
    ( ~ gr(sK18(sK127,sK128))
    | ~ spl144_2
    | ~ spl144_3
    | spl144_13 ),
    inference(forward_subsumption_resolution,[],[f2071,f1584]) ).

fof(f2074,definition,
    ( spl144_17
  <=> gr(sK18(sK127,sK128)) ),
    introduced(definition,[new_symbols(definition,[spl144_17])],[avatar_definition]) ).

fof(f2075,plain,
    ( gr(sK18(sK127,sK128))
    | ~ spl144_17 ),
    inference(avatar_component_clause,[],[f2074]) ).

fof(f2076,plain,
    ( ~ gr(sK18(sK127,sK128))
    | spl144_17 ),
    inference(avatar_component_clause,[],[f2074]) ).

fof(f2077,plain,
    ( ~ spl144_17
    | ~ spl144_2
    | ~ spl144_3
    | spl144_13 ),
    inference(avatar_split_clause,[],[f2072,f2015,f1582,f1577,f2074]) ).

fof(f2198,plain,
    ( occ_succeeds(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | occ_fails(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | ~ spl144_13 ),
    inference(resolution,[],[f2016,f857]) ).

fof(f2199,plain,
    ( ~ list_succeeds(sK127)
    | ~ list_succeeds(sK128)
    | spl144_15 ),
    inference(resolution,[],[f2025,f1371]) ).

fof(f2203,plain,
    ( ~ list_succeeds(sK128)
    | ~ spl144_4
    | spl144_15 ),
    inference(forward_subsumption_resolution,[],[f2199,f1589]) ).

fof(f2206,plain,
    ( $false
    | ~ spl144_2
    | ~ spl144_4
    | spl144_15 ),
    inference(forward_subsumption_resolution,[],[f2203,f1579]) ).

fof(f2207,plain,
    ( ~ spl144_2
    | ~ spl144_4
    | spl144_15 ),
    inference(avatar_contradiction_clause,[],[f2206]) ).

fof(f2208,plain,
    ( ~ occ_terminates(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | ~ occ_fails(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | spl144_1
    | ~ spl144_15 ),
    inference(backward_subsumption_resolution,[],[f1539,f2024]) ).

fof(f2209,plain,
    ( ~ member2_fails(sK18(sK127,sK128),sK127,sK128)
    | spl144_1
    | ~ spl144_15 ),
    inference(backward_subsumption_resolution,[],[f1540,f2024]) ).

fof(f2216,plain,
    ( member2_succeeds(sK18(sK127,sK128),sK127,sK128)
    | member2_fails(sK18(sK127,sK128),sK127,sK128)
    | ~ spl144_15 ),
    inference(resolution,[],[f2024,f855]) ).

fof(f2217,plain,
    ( member2_succeeds(sK18(sK127,sK128),sK127,sK128)
    | spl144_1
    | ~ spl144_15 ),
    inference(forward_subsumption_resolution,[],[f2216,f2209]) ).

fof(f2219,definition,
    ( spl144_27
  <=> member2_succeeds(sK18(sK127,sK128),sK127,sK128) ),
    introduced(definition,[new_symbols(definition,[spl144_27])],[avatar_definition]) ).

fof(f2221,plain,
    ( member2_succeeds(sK18(sK127,sK128),sK127,sK128)
    | ~ spl144_27 ),
    inference(avatar_component_clause,[],[f2219]) ).

fof(f2222,plain,
    ( spl144_27
    | spl144_1
    | ~ spl144_15 ),
    inference(avatar_split_clause,[],[f2217,f2023,f1533,f2219]) ).

fof(f2232,plain,
    ( ~ list_succeeds(sK127)
    | ~ gr(sK127)
    | ~ gr(sK18(sK127,sK128))
    | spl144_14 ),
    inference(resolution,[],[f2021,f1372]) ).

fof(f2237,plain,
    ( gr(sK18(sK127,sK128))
    | ~ gr(sK127)
    | ~ gr(sK128)
    | ~ spl144_27 ),
    inference(resolution,[],[f2221,f1373]) ).

fof(f2241,plain,
    ( ~ gr(sK127)
    | ~ gr(sK128)
    | spl144_17
    | ~ spl144_27 ),
    inference(forward_subsumption_resolution,[],[f2237,f2076]) ).

fof(f2242,plain,
    ( ~ gr(sK128)
    | ~ spl144_5
    | spl144_17
    | ~ spl144_27 ),
    inference(forward_subsumption_resolution,[],[f2241,f1594]) ).

fof(f2243,plain,
    ( $false
    | ~ spl144_3
    | ~ spl144_5
    | spl144_17
    | ~ spl144_27 ),
    inference(forward_subsumption_resolution,[],[f2242,f1584]) ).

fof(f2244,plain,
    ( ~ spl144_3
    | ~ spl144_5
    | spl144_17
    | ~ spl144_27 ),
    inference(avatar_contradiction_clause,[],[f2243]) ).

fof(f2252,plain,
    ( ~ gr(sK127)
    | ~ gr(sK18(sK127,sK128))
    | ~ spl144_4
    | spl144_14 ),
    inference(forward_subsumption_resolution,[],[f2232,f1589]) ).

fof(f2259,plain,
    ( ~ gr(sK18(sK127,sK128))
    | ~ spl144_4
    | ~ spl144_5
    | spl144_14 ),
    inference(forward_subsumption_resolution,[],[f2252,f1594]) ).

fof(f2260,plain,
    ( $false
    | ~ spl144_4
    | ~ spl144_5
    | spl144_14
    | ~ spl144_17 ),
    inference(forward_subsumption_resolution,[],[f2259,f2075]) ).

fof(f2261,plain,
    ( ~ spl144_4
    | ~ spl144_5
    | spl144_14
    | ~ spl144_17 ),
    inference(avatar_contradiction_clause,[],[f2260]) ).

fof(f2262,plain,
    ( occ_succeeds(sK18(sK127,sK128),sK128,sK20(sK127,sK128))
    | ~ spl144_13
    | spl144_16 ),
    inference(backward_subsumption_resolution,[],[f2198,f2055]) ).

fof(f2263,plain,
    ( ~ occ_fails(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | spl144_1
    | ~ spl144_14
    | ~ spl144_15 ),
    inference(forward_subsumption_resolution,[],[f2208,f2020]) ).

fof(f2285,plain,
    ( ! [X0,X1] : ~ occ_succeeds(X0,X1,sK19(sK127,sK128))
    | spl144_12 ),
    inference(resolution,[],[f2013,f1374]) ).

fof(f2293,plain,
    ( occ_succeeds(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | occ_fails(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | ~ spl144_14 ),
    inference(resolution,[],[f2020,f857]) ).

fof(f2294,plain,
    ( occ_fails(sK18(sK127,sK128),sK127,sK19(sK127,sK128))
    | spl144_12
    | ~ spl144_14 ),
    inference(forward_subsumption_resolution,[],[f2293,f2285]) ).

fof(f2295,plain,
    ( $false
    | spl144_1
    | spl144_12
    | ~ spl144_14
    | ~ spl144_15 ),
    inference(forward_subsumption_resolution,[],[f2294,f2263]) ).

fof(f2296,plain,
    ( spl144_1
    | spl144_12
    | ~ spl144_14
    | ~ spl144_15 ),
    inference(avatar_contradiction_clause,[],[f2295]) ).

fof(f2318,plain,
    ( ! [X0,X1] : ~ occ_succeeds(X0,X1,sK20(sK127,sK128))
    | spl144_11 ),
    inference(resolution,[],[f2009,f1374]) ).

fof(f2323,plain,
    ( $false
    | spl144_11
    | ~ spl144_13
    | spl144_16 ),
    inference(backward_subsumption_resolution,[],[f2262,f2318]) ).

fof(f2324,plain,
    ( spl144_11
    | ~ spl144_13
    | spl144_16 ),
    inference(avatar_contradiction_clause,[],[f2323]) ).

cnf(s1,plain,
    ~ spl144_1,
    inference(sat_conversion,[],[f1536]) ).

cnf(s2,plain,
    spl144_2,
    inference(sat_conversion,[],[f1580]) ).

cnf(s3,plain,
    spl144_3,
    inference(sat_conversion,[],[f1585]) ).

cnf(s4,plain,
    spl144_4,
    inference(sat_conversion,[],[f1590]) ).

cnf(s5,plain,
    spl144_5,
    inference(sat_conversion,[],[f1595]) ).

cnf(s10,plain,
    ( spl144_1
    | ~ spl144_11
    | ~ spl144_12
    | ~ spl144_13
    | ~ spl144_14
    | ~ spl144_15 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s11,plain,
    ( spl144_1
    | ~ spl144_13
    | ~ spl144_14
    | ~ spl144_15
    | ~ spl144_16 ),
    inference(sat_conversion,[],[f2056]) ).

cnf(s12,plain,
    ( ~ spl144_2
    | ~ spl144_3
    | spl144_13
    | ~ spl144_17 ),
    inference(sat_conversion,[],[f2077]) ).

cnf(s21,plain,
    ( ~ spl144_2
    | ~ spl144_4
    | spl144_15 ),
    inference(sat_conversion,[],[f2207]) ).

cnf(s22,plain,
    ( spl144_1
    | ~ spl144_15
    | spl144_27 ),
    inference(sat_conversion,[],[f2222]) ).

cnf(s23,plain,
    ( ~ spl144_3
    | ~ spl144_5
    | spl144_17
    | ~ spl144_27 ),
    inference(sat_conversion,[],[f2244]) ).

cnf(s24,plain,
    ( ~ spl144_4
    | ~ spl144_5
    | spl144_14
    | ~ spl144_17 ),
    inference(sat_conversion,[],[f2261]) ).

cnf(s25,plain,
    ( spl144_1
    | spl144_12
    | ~ spl144_14
    | ~ spl144_15 ),
    inference(sat_conversion,[],[f2296]) ).

cnf(s26,plain,
    ( spl144_11
    | ~ spl144_13
    | spl144_16 ),
    inference(sat_conversion,[],[f2324]) ).

cnf(s27,plain,
    spl144_15,
    inference(rat,[],[s21,s4,s2]) ).

cnf(s28,plain,
    spl144_27,
    inference(rat,[],[s22,s27,s1]) ).

cnf(s30,plain,
    spl144_17,
    inference(rat,[],[s23,s3,s5,s28]) ).

cnf(s31,plain,
    spl144_14,
    inference(rat,[],[s24,s4,s5,s30]) ).

cnf(s32,plain,
    spl144_13,
    inference(rat,[],[s12,s2,s3,s30]) ).

cnf(s33,plain,
    spl144_12,
    inference(rat,[],[s25,s27,s1,s31]) ).

cnf(s34,plain,
    ~ spl144_16,
    inference(rat,[],[s11,s31,s27,s1,s32]) ).

cnf(s35,plain,
    ~ spl144_11,
    inference(rat,[],[s10,s27,s31,s32,s1,s33]) ).

cnf(s36,plain,
    $false,
    inference(rat,[],[s26,s32,s34,s35]) ).

fof(f2325,plain,
    $false,
    inference(avatar_sat_refutation,[],[s36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWX060+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17  % Computer : n020.cluster.edu
% 0.08/0.17  % Model    : x86_64 x86_64
% 0.08/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17  % Memory   : 8046.5625MB
% 0.08/0.17  % OS       : Linux 6.8.0-71-generic
% 0.08/0.17  % CPULimit : 300
% 0.08/0.17  % WCLimit  : 300
% 0.08/0.17  % DateTime : Mon Sep 28 14:57:35 UTC 2026
% 0.08/0.17  % CPUTime  : 
% 0.08/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  Running first-order theorem proving
% 0.08/0.20  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
% 6.96/1.55  % (222375)Detected formulas, will run a generic FOF schedule.
% 6.96/1.55  % (222385)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3546197027:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.96/1.55  % (222384)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2817073425:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.96/1.55  % (222382)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=757146348:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.96/1.55  % (222380)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=3917056878:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.96/1.55  % (222383)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2575027077:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.96/1.55  % (222381)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=657418824:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.96/1.55  % (222386)dis-21_1_sil=8000:lcm=predicate:random_seed=238546491: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)
% 6.96/1.55  % (222383)Refutation not found, incomplete strategy
% 6.96/1.55  % (222383)------------------------------
% 6.96/1.55  % (222383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222383)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222383)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.55  % (222383)Time elapsed: 0.003 s
% 6.96/1.55  % (222383)Peak memory usage: 89 MB
% 6.96/1.55  % (222383)Instructions burned: 2 (million)
% 6.96/1.55  % (222385)Instruction limit reached! 
% 6.96/1.55  % (222385)------------------------------
% 6.96/1.55  % (222385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222385)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222385)Termination reason: Instruction limit
% 6.96/1.55  % (222385)Termination phase: Saturation
% 6.96/1.55  % (222385)Time elapsed: 0.055 s
% 6.96/1.55  % (222385)Peak memory usage: 90 MB
% 6.96/1.55  % (222385)Instructions burned: 141 (million)
% 6.96/1.55  % (222384)Instruction limit reached! 
% 6.96/1.55  % (222384)------------------------------
% 6.96/1.55  % (222384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222384)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222384)Termination reason: Instruction limit
% 6.96/1.55  % (222384)Termination phase: Saturation
% 6.96/1.55  % (222384)Time elapsed: 0.076 s
% 6.96/1.55  % (222384)Peak memory usage: 88 MB
% 6.96/1.55  % (222384)Instructions burned: 119 (million)
% 6.96/1.55  % (222386)Instruction limit reached! 
% 6.96/1.55  % (222386)------------------------------
% 6.96/1.55  % (222386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222386)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222386)Termination reason: Instruction limit
% 6.96/1.55  % (222386)Termination phase: Saturation
% 6.96/1.55  % (222386)Time elapsed: 0.080 s
% 6.96/1.55  % (222386)Peak memory usage: 89 MB
% 6.96/1.55  % (222386)Instructions burned: 130 (million)
% 6.96/1.55  % (222394)lrs+10_1_sil=8000:sp=occurrence:random_seed=3708272928:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.96/1.55  % (222396)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1461055488:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.96/1.55  % (222395)lrs+10_1_sil=32000:urr=on:br=off:random_seed=661455917:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.96/1.55  % (222394)Instruction limit reached! 
% 6.96/1.55  % (222394)------------------------------
% 6.96/1.55  % (222394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222394)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222394)Termination reason: Instruction limit
% 6.96/1.55  % (222394)Termination phase: Saturation
% 6.96/1.55  % (222394)Time elapsed: 0.102 s
% 6.96/1.55  % (222394)Peak memory usage: 92 MB
% 6.96/1.55  % (222394)Instructions burned: 288 (million)
% 6.96/1.55  % (222383)------------------------------
% 6.96/1.55  % (222383)------------------------------
% 6.96/1.55  % (222395)Instruction limit reached! 
% 6.96/1.55  % (222395)------------------------------
% 6.96/1.55  % (222395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222395)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222395)Termination reason: Instruction limit
% 6.96/1.55  % (222395)Termination phase: Saturation
% 6.96/1.55  % (222395)Time elapsed: 0.078 s
% 6.96/1.55  % (222395)Peak memory usage: 92 MB
% 6.96/1.55  % (222395)Instructions burned: 157 (million)
% 6.96/1.55  % (222400)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=102086034:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.96/1.55  % (222400)Instruction limit reached! 
% 6.96/1.55  % (222400)------------------------------
% 6.96/1.55  % (222400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222400)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222400)Termination reason: Instruction limit
% 6.96/1.55  % (222400)Termination phase: Saturation
% 6.96/1.55  % (222400)Time elapsed: 0.072 s
% 6.96/1.55  % (222400)Peak memory usage: 96 MB
% 6.96/1.55  % (222400)Instructions burned: 251 (million)
% 6.96/1.55  % (222401)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=112934036:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.96/1.55  % (222401)Refutation not found, incomplete strategy
% 6.96/1.55  % (222401)------------------------------
% 6.96/1.55  % (222401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222401)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222401)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.55  % (222401)Time elapsed: 0.010 s
% 6.96/1.55  % (222401)Peak memory usage: 89 MB
% 6.96/1.55  % (222401)Instructions burned: 15 (million)
% 6.96/1.55  % (222402)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3410349448:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.96/1.55  % (222396)Instruction limit reached! 
% 6.96/1.55  % (222396)------------------------------
% 6.96/1.55  % (222396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222396)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222396)Termination reason: Instruction limit
% 6.96/1.55  % (222396)Termination phase: Saturation
% 6.96/1.55  % (222396)Time elapsed: 0.224 s
% 6.96/1.55  % (222396)Peak memory usage: 94 MB
% 6.96/1.55  % (222396)Instructions burned: 325 (million)
% 6.96/1.55  % (222404)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1946392410:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.96/1.55  % (222404)Instruction limit reached! 
% 6.96/1.55  % (222404)------------------------------
% 6.96/1.55  % (222404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222404)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222404)Termination reason: Instruction limit
% 6.96/1.55  % (222404)Termination phase: Saturation
% 6.96/1.55  % (222404)Time elapsed: 0.039 s
% 6.96/1.55  % (222404)Peak memory usage: 91 MB
% 6.96/1.55  % (222404)Instructions burned: 115 (million)
% 6.96/1.55  % (222407)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=625366036:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.96/1.55  % (222409)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2716851580:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.96/1.55  % (222409)Instruction limit reached! 
% 6.96/1.55  % (222409)------------------------------
% 6.96/1.55  % (222409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222409)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222409)Termination reason: Instruction limit
% 6.96/1.55  % (222409)Termination phase: Saturation
% 6.96/1.55  % (222409)Time elapsed: 0.032 s
% 6.96/1.55  % (222409)Peak memory usage: 89 MB
% 6.96/1.55  % (222409)Instructions burned: 115 (million)
% 6.96/1.55  % (222407)Instruction limit reached! 
% 6.96/1.55  % (222407)------------------------------
% 6.96/1.55  % (222407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222407)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222407)Termination reason: Instruction limit
% 6.96/1.55  % (222407)Termination phase: Saturation
% 6.96/1.55  % (222407)Time elapsed: 0.067 s
% 6.96/1.55  % (222407)Peak memory usage: 90 MB
% 6.96/1.55  % (222407)Instructions burned: 127 (million)
% 6.96/1.55  % (222401)------------------------------
% 6.96/1.55  % (222401)------------------------------
% 6.96/1.55  % (222412)lrs+10_1_sil=8000:sp=occurrence:random_seed=3120918621:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.96/1.55  % (222413)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1193040518:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.96/1.55  % (222382)First to succeed.
% 6.96/1.55  % (222382)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-222375"
% 6.96/1.55  % (222413)Refutation not found, incomplete strategy
% 6.96/1.55  % (222413)------------------------------
% 6.96/1.55  % (222413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.55  % (222413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.55  % (222413)CaDiCaL version: 2.1.3
% 6.96/1.55  % (222413)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.55  % (222413)Time elapsed: 0.016 s
% 6.96/1.55  % (222413)Peak memory usage: 89 MB
% 6.96/1.55  % (222413)Instructions burned: 27 (million)
% 6.96/1.55  % (222414)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2802639878:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.96/1.55  % (222380)Also succeeded, but the first one will report.
% 6.96/1.55  % (222413)------------------------------
% 6.96/1.55  % (222413)------------------------------
% 6.96/1.55  % (222382)Refutation found. Thanks to Tanya!
% 6.96/1.55  % SZS status Theorem for theBenchmark
% 6.96/1.55  % SZS output start Proof for theBenchmark
% See solution above
% 8.48/1.74  % (222382)------------------------------
% 8.48/1.74  % (222382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.48/1.74  % (222382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.74  % (222382)CaDiCaL version: 2.1.3
% 8.48/1.74  % (222382)Termination reason: Refutation
% 8.48/1.74  % (222382)Time elapsed: 0.759 s
% 8.48/1.74  % (222382)Peak memory usage: 133 MB
% 8.48/1.74  % (222382)Instructions burned: 1150 (million)
% 8.48/1.74  % (222382)------------------------------
% 8.48/1.74  % (222382)------------------------------
% 8.48/1.74  % (222375)Success in time 1.157 s
% 8.48/1.74  % Vampire exiting
%------------------------------------------------------------------------------