TSTP Solution File: SWC364+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC364+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n017.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 : Wed May  1 04:01:43 EDT 2024

% Result   : Theorem 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   67 (   9 unt;   0 def)
%            Number of atoms       :  325 (  62 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :  376 ( 118   ~; 107   |; 121   &)
%                                         (   8 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   97 (  50   !;  47   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f346,plain,
    $false,
    inference(avatar_sat_refutation,[],[f230,f235,f240,f244,f312,f316,f345]) ).

fof(f345,plain,
    ( spl11_1
    | ~ spl11_14 ),
    inference(avatar_contradiction_clause,[],[f344]) ).

fof(f344,plain,
    ( $false
    | spl11_1
    | ~ spl11_14 ),
    inference(subsumption_resolution,[],[f343,f192]) ).

fof(f192,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.OuMMJRuCgf/Vampire---4.8_10623',ax17) ).

fof(f343,plain,
    ( ~ ssList(nil)
    | spl11_1
    | ~ spl11_14 ),
    inference(subsumption_resolution,[],[f342,f155]) ).

fof(f155,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( ( ~ neq(sK3,nil)
        & neq(sK1,nil) )
      | ( ~ segmentP(sK1,sK0)
        & sK3 = app(cons(sK4,nil),sK2)
        & ssItem(sK4)
        & neq(sK1,nil) ) )
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f99,f134,f133,f132,f131,f130]) ).

fof(f130,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ~ neq(X3,nil)
                        & neq(X1,nil) )
                      | ( ~ segmentP(X1,X0)
                        & ? [X4] :
                            ( app(cons(X4,nil),X2) = X3
                            & ssItem(X4) )
                        & neq(X1,nil) ) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ~ segmentP(X1,sK0)
                      & ? [X4] :
                          ( app(cons(X4,nil),X2) = X3
                          & ssItem(X4) )
                      & neq(X1,nil) ) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ~ neq(X3,nil)
                    & neq(X1,nil) )
                  | ( ~ segmentP(X1,sK0)
                    & ? [X4] :
                        ( app(cons(X4,nil),X2) = X3
                        & ssItem(X4) )
                    & neq(X1,nil) ) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ~ neq(X3,nil)
                  & neq(sK1,nil) )
                | ( ~ segmentP(sK1,sK0)
                  & ? [X4] :
                      ( app(cons(X4,nil),X2) = X3
                      & ssItem(X4) )
                  & neq(sK1,nil) ) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ~ neq(X3,nil)
                & neq(sK1,nil) )
              | ( ~ segmentP(sK1,sK0)
                & ? [X4] :
                    ( app(cons(X4,nil),X2) = X3
                    & ssItem(X4) )
                & neq(sK1,nil) ) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ~ neq(X3,nil)
              & neq(sK1,nil) )
            | ( ~ segmentP(sK1,sK0)
              & ? [X4] :
                  ( app(cons(X4,nil),sK2) = X3
                  & ssItem(X4) )
              & neq(sK1,nil) ) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X3] :
        ( ( ( ~ neq(X3,nil)
            & neq(sK1,nil) )
          | ( ~ segmentP(sK1,sK0)
            & ? [X4] :
                ( app(cons(X4,nil),sK2) = X3
                & ssItem(X4) )
            & neq(sK1,nil) ) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( ~ neq(sK3,nil)
          & neq(sK1,nil) )
        | ( ~ segmentP(sK1,sK0)
          & ? [X4] :
              ( app(cons(X4,nil),sK2) = sK3
              & ssItem(X4) )
          & neq(sK1,nil) ) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X4] :
        ( app(cons(X4,nil),sK2) = sK3
        & ssItem(X4) )
   => ( sK3 = app(cons(sK4,nil),sK2)
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f98,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | ( ~ segmentP(X1,X0)
                      & ? [X4] :
                          ( app(cons(X4,nil),X2) = X3
                          & ssItem(X4) )
                      & neq(X1,nil) ) )
                  & 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)
                   => ( ( ( neq(X3,nil)
                          | ~ neq(X1,nil) )
                        & ( segmentP(X1,X0)
                          | ! [X4] :
                              ( ssItem(X4)
                             => app(cons(X4,nil),X2) != X3 )
                          | ~ neq(X1,nil) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( neq(X3,nil)
                        | ~ neq(X1,nil) )
                      & ( segmentP(X1,X0)
                        | ! [X4] :
                            ( ssItem(X4)
                           => app(cons(X4,nil),X2) != X3 )
                        | ~ neq(X1,nil) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OuMMJRuCgf/Vampire---4.8_10623',co1) ).

fof(f342,plain,
    ( ~ ssList(sK3)
    | ~ ssList(nil)
    | spl11_1
    | ~ spl11_14 ),
    inference(subsumption_resolution,[],[f339,f225]) ).

fof(f225,plain,
    ( ~ segmentP(sK3,sK2)
    | spl11_1 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl11_1
  <=> segmentP(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f339,plain,
    ( segmentP(sK3,sK2)
    | ~ ssList(sK3)
    | ~ ssList(nil)
    | ~ spl11_14 ),
    inference(duplicate_literal_removal,[],[f338]) ).

fof(f338,plain,
    ( segmentP(sK3,sK2)
    | ~ ssList(sK3)
    | ~ ssList(nil)
    | ~ ssList(sK3)
    | ~ spl11_14 ),
    inference(superposition,[],[f311,f177]) ).

fof(f177,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.OuMMJRuCgf/Vampire---4.8_10623',ax84) ).

fof(f311,plain,
    ( ! [X0] :
        ( segmentP(app(sK3,X0),sK2)
        | ~ ssList(app(sK3,X0))
        | ~ ssList(X0) )
    | ~ spl11_14 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f310,plain,
    ( spl11_14
  <=> ! [X0] :
        ( segmentP(app(sK3,X0),sK2)
        | ~ ssList(app(sK3,X0))
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).

fof(f316,plain,
    ( ~ spl11_4
    | spl11_5 ),
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f315,plain,
    ( $false
    | ~ spl11_4
    | spl11_5 ),
    inference(subsumption_resolution,[],[f314,f192]) ).

fof(f314,plain,
    ( ~ ssList(nil)
    | ~ spl11_4
    | spl11_5 ),
    inference(subsumption_resolution,[],[f313,f239]) ).

fof(f239,plain,
    ( ssItem(sK4)
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl11_4
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f313,plain,
    ( ~ ssItem(sK4)
    | ~ ssList(nil)
    | spl11_5 ),
    inference(resolution,[],[f263,f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f106]) ).

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

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OuMMJRuCgf/Vampire---4.8_10623',ax16) ).

fof(f263,plain,
    ( ~ ssList(cons(sK4,nil))
    | spl11_5 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl11_5
  <=> ssList(cons(sK4,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f312,plain,
    ( ~ spl11_5
    | spl11_14
    | ~ spl11_3 ),
    inference(avatar_split_clause,[],[f308,f232,f310,f261]) ).

fof(f232,plain,
    ( spl11_3
  <=> sK3 = app(cons(sK4,nil),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f308,plain,
    ( ! [X0] :
        ( segmentP(app(sK3,X0),sK2)
        | ~ ssList(X0)
        | ~ ssList(cons(sK4,nil))
        | ~ ssList(app(sK3,X0)) )
    | ~ spl11_3 ),
    inference(subsumption_resolution,[],[f258,f154]) ).

fof(f154,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f135]) ).

fof(f258,plain,
    ( ! [X0] :
        ( segmentP(app(sK3,X0),sK2)
        | ~ ssList(X0)
        | ~ ssList(cons(sK4,nil))
        | ~ ssList(sK2)
        | ~ ssList(app(sK3,X0)) )
    | ~ spl11_3 ),
    inference(superposition,[],[f217,f234]) ).

fof(f234,plain,
    ( sK3 = app(cons(sK4,nil),sK2)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f217,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3)) ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0
                & ssList(sK10(X0,X1))
                & ssList(sK9(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f148,f150,f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK9(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK9(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK9(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0
        & ssList(sK10(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.OuMMJRuCgf/Vampire---4.8_10623',ax7) ).

fof(f244,plain,
    spl11_2,
    inference(avatar_split_clause,[],[f221,f227]) ).

fof(f227,plain,
    ( spl11_2
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f221,plain,
    neq(sK3,nil),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,plain,
    ( neq(sK3,nil)
    | neq(sK3,nil) ),
    inference(definition_unfolding,[],[f158,f156,f156]) ).

fof(f156,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f135]) ).

fof(f158,plain,
    ( neq(sK1,nil)
    | neq(sK1,nil) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f240,plain,
    ( spl11_4
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f163,f227,f237]) ).

fof(f163,plain,
    ( ~ neq(sK3,nil)
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f235,plain,
    ( spl11_3
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f164,f227,f232]) ).

fof(f164,plain,
    ( ~ neq(sK3,nil)
    | sK3 = app(cons(sK4,nil),sK2) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f230,plain,
    ( ~ spl11_1
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f204,f227,f223]) ).

fof(f204,plain,
    ( ~ neq(sK3,nil)
    | ~ segmentP(sK3,sK2) ),
    inference(definition_unfolding,[],[f165,f156,f157]) ).

fof(f157,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f135]) ).

fof(f165,plain,
    ( ~ neq(sK3,nil)
    | ~ segmentP(sK1,sK0) ),
    inference(cnf_transformation,[],[f135]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : SWC364+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.32  % Computer : n017.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Apr 30 17:51:19 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.OuMMJRuCgf/Vampire---4.8_10623
% 0.61/0.81  % (10746)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (10747)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81  % (10748)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81  % (10749)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81  % (10745)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.81  % (10750)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.81  % (10751)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.81  % (10744)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.81  % (10749)First to succeed.
% 0.61/0.82  % (10749)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Theorem for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (10749)------------------------------
% 0.61/0.82  % (10749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (10749)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (10749)Memory used [KB]: 1191
% 0.61/0.82  % (10749)Time elapsed: 0.008 s
% 0.61/0.82  % (10749)Instructions burned: 10 (million)
% 0.61/0.82  % (10749)------------------------------
% 0.61/0.82  % (10749)------------------------------
% 0.61/0.82  % (10737)Success in time 0.49 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------