TSTP Solution File: SWC387+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC387+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 04:01:51 EDT 2024

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   64 (   6 unt;   0 def)
%            Number of atoms       :  377 ( 145 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives :  491 ( 178   ~; 152   |; 129   &)
%                                         (   8 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   82 (  44   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f383,plain,
    $false,
    inference(avatar_sat_refutation,[],[f222,f227,f232,f241,f242,f258,f382]) ).

fof(f382,plain,
    ( ~ spl11_1
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(avatar_contradiction_clause,[],[f381]) ).

fof(f381,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f380,f177]) ).

fof(f177,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.Twm3AWtMrQ/Vampire---4.8_26360',ax17) ).

fof(f380,plain,
    ( ~ ssList(nil)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f379,f231]) ).

fof(f231,plain,
    ( ssItem(sK4)
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl11_4
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f379,plain,
    ( ~ ssItem(sK4)
    | ~ ssList(nil)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f378,f217]) ).

fof(f217,plain,
    ( memberP(sK3,sK4)
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl11_1
  <=> memberP(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f378,plain,
    ( ~ memberP(sK3,sK4)
    | ~ ssItem(sK4)
    | ~ ssList(nil)
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f373,f287]) ).

fof(f287,plain,
    ( sK2 = app(sK2,nil)
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f286,f177]) ).

fof(f286,plain,
    ( sK2 = app(sK2,nil)
    | ~ ssList(nil)
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f269,f231]) ).

fof(f269,plain,
    ( sK2 = app(sK2,nil)
    | ~ ssItem(sK4)
    | ~ ssList(nil)
    | ~ spl11_3 ),
    inference(superposition,[],[f194,f226]) ).

fof(f226,plain,
    ( sK2 = cons(sK4,nil)
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl11_3
  <=> sK2 = cons(sK4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Twm3AWtMrQ/Vampire---4.8_26360',ax81) ).

fof(f373,plain,
    ( sK2 != app(sK2,nil)
    | ~ memberP(sK3,sK4)
    | ~ ssItem(sK4)
    | ~ ssList(nil)
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(superposition,[],[f201,f272]) ).

fof(f272,plain,
    ( ! [X0] :
        ( cons(sK4,X0) = app(sK2,X0)
        | ~ ssList(X0) )
    | ~ spl11_3
    | ~ spl11_4 ),
    inference(subsumption_resolution,[],[f259,f231]) ).

fof(f259,plain,
    ( ! [X0] :
        ( cons(sK4,X0) = app(sK2,X0)
        | ~ ssItem(sK4)
        | ~ ssList(X0) )
    | ~ spl11_3 ),
    inference(superposition,[],[f194,f226]) ).

fof(f201,plain,
    ! [X5] :
      ( cons(X5,nil) != sK2
      | ~ memberP(sK3,X5)
      | ~ ssItem(X5) ),
    inference(definition_unfolding,[],[f156,f154,f155]) ).

fof(f155,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ( ~ neq(sK3,nil)
      | ( memberP(sK3,sK4)
        & sK2 = cons(sK4,nil)
        & ssItem(sK4) ) )
    & ( nil != sK0
      | nil != sK1 )
    & ( nil != sK3
      | nil = sK2 )
    & ! [X5] :
        ( ~ memberP(sK1,X5)
        | cons(X5,nil) != sK0
        | ~ ssItem(X5) )
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f100,f129,f128,f127,f126,f125]) ).

fof(f125,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ neq(X3,nil)
                      | ? [X4] :
                          ( memberP(X3,X4)
                          & cons(X4,nil) = X2
                          & ssItem(X4) ) )
                    & ( nil != X0
                      | nil != X1 )
                    & ( nil != X3
                      | nil = X2 )
                    & ! [X5] :
                        ( ~ memberP(X1,X5)
                        | cons(X5,nil) != X0
                        | ~ ssItem(X5) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ( nil != sK0
                    | nil != X1 )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X5] :
                      ( ~ memberP(X1,X5)
                      | cons(X5,nil) != sK0
                      | ~ ssItem(X5) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ neq(X3,nil)
                  | ? [X4] :
                      ( memberP(X3,X4)
                      & cons(X4,nil) = X2
                      & ssItem(X4) ) )
                & ( nil != sK0
                  | nil != X1 )
                & ( nil != X3
                  | nil = X2 )
                & ! [X5] :
                    ( ~ memberP(X1,X5)
                    | cons(X5,nil) != sK0
                    | ~ ssItem(X5) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ neq(X3,nil)
                | ? [X4] :
                    ( memberP(X3,X4)
                    & cons(X4,nil) = X2
                    & ssItem(X4) ) )
              & ( nil != sK0
                | nil != sK1 )
              & ( nil != X3
                | nil = X2 )
              & ! [X5] :
                  ( ~ memberP(sK1,X5)
                  | cons(X5,nil) != sK0
                  | ~ ssItem(X5) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ neq(X3,nil)
              | ? [X4] :
                  ( memberP(X3,X4)
                  & cons(X4,nil) = X2
                  & ssItem(X4) ) )
            & ( nil != sK0
              | nil != sK1 )
            & ( nil != X3
              | nil = X2 )
            & ! [X5] :
                ( ~ memberP(sK1,X5)
                | cons(X5,nil) != sK0
                | ~ ssItem(X5) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ neq(X3,nil)
            | ? [X4] :
                ( memberP(X3,X4)
                & cons(X4,nil) = sK2
                & ssItem(X4) ) )
          & ( nil != sK0
            | nil != sK1 )
          & ( nil != X3
            | nil = sK2 )
          & ! [X5] :
              ( ~ memberP(sK1,X5)
              | cons(X5,nil) != sK0
              | ~ ssItem(X5) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X3] :
        ( ( ~ neq(X3,nil)
          | ? [X4] :
              ( memberP(X3,X4)
              & cons(X4,nil) = sK2
              & ssItem(X4) ) )
        & ( nil != sK0
          | nil != sK1 )
        & ( nil != X3
          | nil = sK2 )
        & ! [X5] :
            ( ~ memberP(sK1,X5)
            | cons(X5,nil) != sK0
            | ~ ssItem(X5) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ~ neq(sK3,nil)
        | ? [X4] :
            ( memberP(sK3,X4)
            & cons(X4,nil) = sK2
            & ssItem(X4) ) )
      & ( nil != sK0
        | nil != sK1 )
      & ( nil != sK3
        | nil = sK2 )
      & ! [X5] :
          ( ~ memberP(sK1,X5)
          | cons(X5,nil) != sK0
          | ~ ssItem(X5) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ( ? [X4] :
        ( memberP(sK3,X4)
        & cons(X4,nil) = sK2
        & ssItem(X4) )
   => ( memberP(sK3,sK4)
      & sK2 = cons(sK4,nil)
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ( nil != X0
                    | nil != X1 )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X5] :
                      ( ~ memberP(X1,X5)
                      | cons(X5,nil) != X0
                      | ~ ssItem(X5) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ( nil != X0
                    | nil != X1 )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X5] :
                      ( ~ memberP(X1,X5)
                      | cons(X5,nil) != X0
                      | ~ ssItem(X5) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ! [X4] :
                            ( ssItem(X4)
                           => ( ~ memberP(X3,X4)
                              | cons(X4,nil) != X2 ) ) )
                      | ( nil = X0
                        & nil = X1 )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X5] :
                          ( memberP(X1,X5)
                          & cons(X5,nil) = X0
                          & ssItem(X5) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ! [X5] :
                            ( ssItem(X5)
                           => ( ~ memberP(X3,X5)
                              | cons(X5,nil) != X2 ) ) )
                      | ( nil = X0
                        & nil = X1 )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X4] :
                          ( memberP(X1,X4)
                          & cons(X4,nil) = X0
                          & ssItem(X4) )
                      | 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)
                      & ! [X5] :
                          ( ssItem(X5)
                         => ( ~ memberP(X3,X5)
                            | cons(X5,nil) != X2 ) ) )
                    | ( nil = X0
                      & nil = X1 )
                    | ( nil = X3
                      & nil != X2 )
                    | ? [X4] :
                        ( memberP(X1,X4)
                        & cons(X4,nil) = X0
                        & ssItem(X4) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Twm3AWtMrQ/Vampire---4.8_26360',co1) ).

fof(f154,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f130]) ).

fof(f156,plain,
    ! [X5] :
      ( ~ memberP(sK1,X5)
      | cons(X5,nil) != sK0
      | ~ ssItem(X5) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f258,plain,
    ( spl11_2
    | spl11_5 ),
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f257,plain,
    ( $false
    | spl11_2
    | spl11_5 ),
    inference(subsumption_resolution,[],[f256,f153]) ).

fof(f153,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f130]) ).

fof(f256,plain,
    ( ~ ssList(sK3)
    | spl11_2
    | spl11_5 ),
    inference(subsumption_resolution,[],[f255,f177]) ).

fof(f255,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK3)
    | spl11_2
    | spl11_5 ),
    inference(subsumption_resolution,[],[f244,f236]) ).

fof(f236,plain,
    ( nil != sK3
    | spl11_5 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl11_5
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f244,plain,
    ( nil = sK3
    | ~ ssList(nil)
    | ~ ssList(sK3)
    | spl11_2 ),
    inference(resolution,[],[f221,f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Twm3AWtMrQ/Vampire---4.8_26360',ax15) ).

fof(f221,plain,
    ( ~ neq(sK3,nil)
    | spl11_2 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl11_2
  <=> neq(sK3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f242,plain,
    ( spl11_6
    | ~ spl11_5 ),
    inference(avatar_split_clause,[],[f157,f234,f238]) ).

fof(f238,plain,
    ( spl11_6
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f157,plain,
    ( nil != sK3
    | nil = sK2 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f241,plain,
    ( ~ spl11_5
    | ~ spl11_6 ),
    inference(avatar_split_clause,[],[f200,f238,f234]) ).

fof(f200,plain,
    ( nil != sK2
    | nil != sK3 ),
    inference(definition_unfolding,[],[f158,f155,f154]) ).

fof(f158,plain,
    ( nil != sK0
    | nil != sK1 ),
    inference(cnf_transformation,[],[f130]) ).

fof(f232,plain,
    ( spl11_4
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f159,f219,f229]) ).

fof(f159,plain,
    ( ~ neq(sK3,nil)
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f227,plain,
    ( spl11_3
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f160,f219,f224]) ).

fof(f160,plain,
    ( ~ neq(sK3,nil)
    | sK2 = cons(sK4,nil) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f222,plain,
    ( spl11_1
    | ~ spl11_2 ),
    inference(avatar_split_clause,[],[f161,f219,f215]) ).

fof(f161,plain,
    ( ~ neq(sK3,nil)
    | memberP(sK3,sK4) ),
    inference(cnf_transformation,[],[f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC387+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:14:35 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Twm3AWtMrQ/Vampire---4.8_26360
% 0.58/0.75  % (26552)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (26554)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 (2996ds/56Mi)
% 0.58/0.75  % (26546)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 (2996ds/34Mi)
% 0.58/0.75  % (26549)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (26548)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 (2996ds/51Mi)
% 0.58/0.75  % (26550)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (26551)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 (2996ds/34Mi)
% 0.58/0.75  % (26553)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 (2996ds/83Mi)
% 0.58/0.75  % (26552)First to succeed.
% 0.58/0.75  % (26552)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Theorem for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (26552)------------------------------
% 0.58/0.75  % (26552)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (26552)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (26552)Memory used [KB]: 1193
% 0.58/0.75  % (26552)Time elapsed: 0.005 s
% 0.58/0.75  % (26552)Instructions burned: 11 (million)
% 0.58/0.75  % (26552)------------------------------
% 0.58/0.75  % (26552)------------------------------
% 0.58/0.75  % (26527)Success in time 0.388 s
% 0.58/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------