TSTP Solution File: SWC025+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC025+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:55:44 EDT 2023

% Result   : Theorem 0.20s 0.43s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   68 (   5 unt;   0 def)
%            Number of atoms       :  390 ( 124 equ)
%            Maximal formula atoms :   32 (   5 avg)
%            Number of connectives :  487 ( 165   ~; 164   |; 135   &)
%                                         (   4 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   95 (;  59   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f762,plain,
    $false,
    inference(avatar_sat_refutation,[],[f652,f653,f749,f761]) ).

fof(f761,plain,
    ( ~ spl69_1
    | spl69_2 ),
    inference(avatar_contradiction_clause,[],[f760]) ).

fof(f760,plain,
    ( $false
    | ~ spl69_1
    | spl69_2 ),
    inference(subsumption_resolution,[],[f759,f377]) ).

fof(f377,plain,
    ssList(sK21),
    inference(cnf_transformation,[],[f254]) ).

fof(f254,plain,
    ( ( ( nil != sK19
        & nil = sK18 )
      | ( nil != sK18
        & nil = sK19 ) )
    & ! [X4] :
        ( ( ( ~ memberP(sK21,X4)
            | memberP(sK20,X4) )
          & ( ~ memberP(sK20,X4)
            | memberP(sK21,X4) ) )
        | ~ ssItem(X4) )
    & duplicatefreeP(sK20)
    & sK18 = sK20
    & sK19 = sK21
    & ssList(sK21)
    & ssList(sK20)
    & ssList(sK19)
    & ssList(sK18) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f99,f253,f252,f251,f250]) ).

fof(f250,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil != X1
                        & nil = X0 )
                      | ( nil != X0
                        & nil = X1 ) )
                    & ! [X4] :
                        ( ( ( ~ memberP(X3,X4)
                            | memberP(X2,X4) )
                          & ( ~ memberP(X2,X4)
                            | memberP(X3,X4) ) )
                        | ~ ssItem(X4) )
                    & duplicatefreeP(X2)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = sK18 )
                    | ( nil != sK18
                      & nil = X1 ) )
                  & ! [X4] :
                      ( ( ( ~ memberP(X3,X4)
                          | memberP(X2,X4) )
                        & ( ~ memberP(X2,X4)
                          | memberP(X3,X4) ) )
                      | ~ ssItem(X4) )
                  & duplicatefreeP(X2)
                  & sK18 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f251,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( nil != X1
                    & nil = sK18 )
                  | ( nil != sK18
                    & nil = X1 ) )
                & ! [X4] :
                    ( ( ( ~ memberP(X3,X4)
                        | memberP(X2,X4) )
                      & ( ~ memberP(X2,X4)
                        | memberP(X3,X4) ) )
                    | ~ ssItem(X4) )
                & duplicatefreeP(X2)
                & sK18 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil != sK19
                  & nil = sK18 )
                | ( nil != sK18
                  & nil = sK19 ) )
              & ! [X4] :
                  ( ( ( ~ memberP(X3,X4)
                      | memberP(X2,X4) )
                    & ( ~ memberP(X2,X4)
                      | memberP(X3,X4) ) )
                  | ~ ssItem(X4) )
              & duplicatefreeP(X2)
              & sK18 = X2
              & sK19 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK19) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil != sK19
                & nil = sK18 )
              | ( nil != sK18
                & nil = sK19 ) )
            & ! [X4] :
                ( ( ( ~ memberP(X3,X4)
                    | memberP(X2,X4) )
                  & ( ~ memberP(X2,X4)
                    | memberP(X3,X4) ) )
                | ~ ssItem(X4) )
            & duplicatefreeP(X2)
            & sK18 = X2
            & sK19 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil != sK19
              & nil = sK18 )
            | ( nil != sK18
              & nil = sK19 ) )
          & ! [X4] :
              ( ( ( ~ memberP(X3,X4)
                  | memberP(sK20,X4) )
                & ( ~ memberP(sK20,X4)
                  | memberP(X3,X4) ) )
              | ~ ssItem(X4) )
          & duplicatefreeP(sK20)
          & sK18 = sK20
          & sK19 = X3
          & ssList(X3) )
      & ssList(sK20) ) ),
    introduced(choice_axiom,[]) ).

fof(f253,plain,
    ( ? [X3] :
        ( ( ( nil != sK19
            & nil = sK18 )
          | ( nil != sK18
            & nil = sK19 ) )
        & ! [X4] :
            ( ( ( ~ memberP(X3,X4)
                | memberP(sK20,X4) )
              & ( ~ memberP(sK20,X4)
                | memberP(X3,X4) ) )
            | ~ ssItem(X4) )
        & duplicatefreeP(sK20)
        & sK18 = sK20
        & sK19 = X3
        & ssList(X3) )
   => ( ( ( nil != sK19
          & nil = sK18 )
        | ( nil != sK18
          & nil = sK19 ) )
      & ! [X4] :
          ( ( ( ~ memberP(sK21,X4)
              | memberP(sK20,X4) )
            & ( ~ memberP(sK20,X4)
              | memberP(sK21,X4) ) )
          | ~ ssItem(X4) )
      & duplicatefreeP(sK20)
      & sK18 = sK20
      & sK19 = sK21
      & ssList(sK21) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ! [X4] :
                      ( ( ( ~ memberP(X3,X4)
                          | memberP(X2,X4) )
                        & ( ~ memberP(X2,X4)
                          | memberP(X3,X4) ) )
                      | ~ ssItem(X4) )
                  & duplicatefreeP(X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ! [X4] :
                      ( ( ( ~ memberP(X3,X4)
                          | memberP(X2,X4) )
                        & ( ~ memberP(X2,X4)
                          | memberP(X3,X4) ) )
                      | ~ ssItem(X4) )
                  & duplicatefreeP(X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil = X1
                          | nil != X0 )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ? [X4] :
                          ( ( ( memberP(X3,X4)
                              & ~ memberP(X2,X4) )
                            | ( memberP(X2,X4)
                              & ~ memberP(X3,X4) ) )
                          & ssItem(X4) )
                      | ~ duplicatefreeP(X2)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil = X1
                        | nil != X0 )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ? [X4] :
                        ( ( ( memberP(X3,X4)
                            & ~ memberP(X2,X4) )
                          | ( memberP(X2,X4)
                            & ~ memberP(X3,X4) ) )
                        & ssItem(X4) )
                    | ~ duplicatefreeP(X2)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QXbw56eYgd/Vampire---4.8_7346',co1) ).

fof(f759,plain,
    ( ~ ssList(sK21)
    | ~ spl69_1
    | spl69_2 ),
    inference(subsumption_resolution,[],[f758,f651]) ).

fof(f651,plain,
    ( nil != sK21
    | spl69_2 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f649,plain,
    ( spl69_2
  <=> nil = sK21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).

fof(f758,plain,
    ( nil = sK21
    | ~ ssList(sK21)
    | ~ spl69_1
    | spl69_2 ),
    inference(resolution,[],[f757,f460]) ).

fof(f460,plain,
    ! [X0] :
      ( ssItem(sK23(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f276,plain,
    ! [X0] :
      ( ( cons(sK23(X0),sK22(X0)) = X0
        & ssItem(sK23(X0))
        & ssList(sK22(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f149,f275,f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK22(X0)) = X0
            & ssItem(X2) )
        & ssList(sK22(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f275,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK22(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK23(X0),sK22(X0)) = X0
        & ssItem(sK23(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QXbw56eYgd/Vampire---4.8_7346',ax20) ).

fof(f757,plain,
    ( ~ ssItem(sK23(sK21))
    | ~ spl69_1
    | spl69_2 ),
    inference(subsumption_resolution,[],[f756,f377]) ).

fof(f756,plain,
    ( ~ ssItem(sK23(sK21))
    | ~ ssList(sK21)
    | ~ spl69_1
    | spl69_2 ),
    inference(subsumption_resolution,[],[f755,f651]) ).

fof(f755,plain,
    ( ~ ssItem(sK23(sK21))
    | nil = sK21
    | ~ ssList(sK21)
    | ~ spl69_1 ),
    inference(resolution,[],[f754,f725]) ).

fof(f725,plain,
    ! [X7] :
      ( memberP(X7,sK23(X7))
      | nil = X7
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f724,f460]) ).

fof(f724,plain,
    ! [X7] :
      ( memberP(X7,sK23(X7))
      | ~ ssItem(sK23(X7))
      | nil = X7
      | ~ ssList(X7) ),
    inference(subsumption_resolution,[],[f717,f459]) ).

fof(f459,plain,
    ! [X0] :
      ( ssList(sK22(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f717,plain,
    ! [X7] :
      ( memberP(X7,sK23(X7))
      | ~ ssList(sK22(X7))
      | ~ ssItem(sK23(X7))
      | nil = X7
      | ~ ssList(X7) ),
    inference(superposition,[],[f641,f461]) ).

fof(f461,plain,
    ! [X0] :
      ( cons(sK23(X0),sK22(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f641,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f612]) ).

fof(f612,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f427]) ).

fof(f427,plain,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | X0 != X1
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f261,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f260]) ).

fof(f260,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( ( memberP(cons(X1,X2),X0)
                  | ( ~ memberP(X2,X0)
                    & X0 != X1 ) )
                & ( memberP(X2,X0)
                  | X0 = X1
                  | ~ memberP(cons(X1,X2),X0) ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(cons(X1,X2),X0)
              <=> ( memberP(X2,X0)
                  | X0 = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.QXbw56eYgd/Vampire---4.8_7346',ax37) ).

fof(f754,plain,
    ( ! [X4] :
        ( ~ memberP(sK21,X4)
        | ~ ssItem(X4) )
    | ~ spl69_1 ),
    inference(subsumption_resolution,[],[f751,f396]) ).

fof(f396,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.QXbw56eYgd/Vampire---4.8_7346',ax38) ).

fof(f751,plain,
    ( ! [X4] :
        ( memberP(nil,X4)
        | ~ memberP(sK21,X4)
        | ~ ssItem(X4) )
    | ~ spl69_1 ),
    inference(backward_demodulation,[],[f382,f646]) ).

fof(f646,plain,
    ( nil = sK20
    | ~ spl69_1 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f645,plain,
    ( spl69_1
  <=> nil = sK20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).

fof(f382,plain,
    ! [X4] :
      ( ~ memberP(sK21,X4)
      | memberP(sK20,X4)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f749,plain,
    ( spl69_1
    | ~ spl69_2 ),
    inference(avatar_contradiction_clause,[],[f748]) ).

fof(f748,plain,
    ( $false
    | spl69_1
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f747,f376]) ).

fof(f376,plain,
    ssList(sK20),
    inference(cnf_transformation,[],[f254]) ).

fof(f747,plain,
    ( ~ ssList(sK20)
    | spl69_1
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f746,f647]) ).

fof(f647,plain,
    ( nil != sK20
    | spl69_1 ),
    inference(avatar_component_clause,[],[f645]) ).

fof(f746,plain,
    ( nil = sK20
    | ~ ssList(sK20)
    | spl69_1
    | ~ spl69_2 ),
    inference(resolution,[],[f745,f460]) ).

fof(f745,plain,
    ( ~ ssItem(sK23(sK20))
    | spl69_1
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f744,f376]) ).

fof(f744,plain,
    ( ~ ssList(sK20)
    | ~ ssItem(sK23(sK20))
    | spl69_1
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f742,f647]) ).

fof(f742,plain,
    ( nil = sK20
    | ~ ssList(sK20)
    | ~ ssItem(sK23(sK20))
    | ~ spl69_2 ),
    inference(resolution,[],[f725,f659]) ).

fof(f659,plain,
    ( ! [X4] :
        ( ~ memberP(sK20,X4)
        | ~ ssItem(X4) )
    | ~ spl69_2 ),
    inference(subsumption_resolution,[],[f657,f396]) ).

fof(f657,plain,
    ( ! [X4] :
        ( memberP(nil,X4)
        | ~ memberP(sK20,X4)
        | ~ ssItem(X4) )
    | ~ spl69_2 ),
    inference(backward_demodulation,[],[f381,f650]) ).

fof(f650,plain,
    ( nil = sK21
    | ~ spl69_2 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f381,plain,
    ! [X4] :
      ( ~ memberP(sK20,X4)
      | memberP(sK21,X4)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f653,plain,
    ( spl69_2
    | spl69_1 ),
    inference(avatar_split_clause,[],[f607,f645,f649]) ).

fof(f607,plain,
    ( nil = sK20
    | nil = sK21 ),
    inference(definition_unfolding,[],[f383,f379,f378]) ).

fof(f378,plain,
    sK19 = sK21,
    inference(cnf_transformation,[],[f254]) ).

fof(f379,plain,
    sK18 = sK20,
    inference(cnf_transformation,[],[f254]) ).

fof(f383,plain,
    ( nil = sK18
    | nil = sK19 ),
    inference(cnf_transformation,[],[f254]) ).

fof(f652,plain,
    ( ~ spl69_1
    | ~ spl69_2 ),
    inference(avatar_split_clause,[],[f604,f649,f645]) ).

fof(f604,plain,
    ( nil != sK21
    | nil != sK20 ),
    inference(definition_unfolding,[],[f386,f378,f379]) ).

fof(f386,plain,
    ( nil != sK19
    | nil != sK18 ),
    inference(cnf_transformation,[],[f254]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC025+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 18:09:40 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.QXbw56eYgd/Vampire---4.8_7346
% 0.14/0.36  % (7453)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (7457)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.20/0.42  % (7459)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.20/0.42  % (7458)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.42  % (7454)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.20/0.42  % (7455)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.20/0.42  % (7456)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.20/0.42  % (7460)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.20/0.42  % (7460)Refutation not found, incomplete strategy% (7460)------------------------------
% 0.20/0.42  % (7460)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42  % (7460)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42  % (7460)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42  
% 0.20/0.42  % (7460)Memory used [KB]: 5884
% 0.20/0.42  % (7460)Time elapsed: 0.008 s
% 0.20/0.42  % (7460)------------------------------
% 0.20/0.42  % (7460)------------------------------
% 0.20/0.43  % (7457)First to succeed.
% 0.20/0.43  % (7457)Refutation found. Thanks to Tanya!
% 0.20/0.43  % SZS status Theorem for Vampire---4
% 0.20/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43  % (7457)------------------------------
% 0.20/0.43  % (7457)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43  % (7457)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43  % (7457)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (7457)Memory used [KB]: 6012
% 0.20/0.43  % (7457)Time elapsed: 0.015 s
% 0.20/0.43  % (7457)------------------------------
% 0.20/0.43  % (7457)------------------------------
% 0.20/0.43  % (7453)Success in time 0.076 s
% 0.20/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------