TSTP Solution File: SWC407+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC407+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 : n016.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 : Sun May  5 09:50:54 EDT 2024

% Result   : Theorem 0.50s 0.72s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   67 (  10 unt;   0 def)
%            Number of atoms       :  351 (  99 equ)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  400 ( 116   ~; 114   |; 135   &)
%                                         (   7 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   86 (  40   !;  46   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f297,plain,
    $false,
    inference(avatar_sat_refutation,[],[f214,f224,f229,f230,f231,f237,f241,f296]) ).

fof(f296,plain,
    ( ~ spl12_1
    | ~ spl12_3
    | ~ spl12_4 ),
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f295,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_3
    | ~ spl12_4 ),
    inference(subsumption_resolution,[],[f293,f209]) ).

fof(f209,plain,
    ( memberP(sK3,sK4)
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl12_1
  <=> memberP(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f293,plain,
    ( ~ memberP(sK3,sK4)
    | ~ spl12_3
    | ~ spl12_4 ),
    inference(superposition,[],[f196,f291]) ).

fof(f291,plain,
    ( sK4 = sK5
    | ~ spl12_3
    | ~ spl12_4 ),
    inference(subsumption_resolution,[],[f289,f153]) ).

fof(f153,plain,
    ssItem(sK5),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ( ( nil = sK2
        & nil = sK3 )
      | ( memberP(sK3,sK4)
        & sK2 = cons(sK4,nil)
        & ssItem(sK4) ) )
    & ~ memberP(sK1,sK5)
    & memberP(sK0,sK5)
    & ssItem(sK5)
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f100,f128,f127,f126,f125,f124,f123]) ).

fof(f123,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil = X2
                        & nil = X3 )
                      | ? [X4] :
                          ( memberP(X3,X4)
                          & cons(X4,nil) = X2
                          & ssItem(X4) ) )
                    & ? [X5] :
                        ( ~ memberP(X1,X5)
                        & memberP(X0,X5)
                        & ssItem(X5) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ? [X5] :
                      ( ~ memberP(X1,X5)
                      & memberP(sK0,X5)
                      & ssItem(X5) )
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( nil = X2
                    & nil = X3 )
                  | ? [X4] :
                      ( memberP(X3,X4)
                      & cons(X4,nil) = X2
                      & ssItem(X4) ) )
                & ? [X5] :
                    ( ~ memberP(X1,X5)
                    & memberP(sK0,X5)
                    & ssItem(X5) )
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil = X2
                  & nil = X3 )
                | ? [X4] :
                    ( memberP(X3,X4)
                    & cons(X4,nil) = X2
                    & ssItem(X4) ) )
              & ? [X5] :
                  ( ~ memberP(sK1,X5)
                  & memberP(sK0,X5)
                  & ssItem(X5) )
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil = X2
                & nil = X3 )
              | ? [X4] :
                  ( memberP(X3,X4)
                  & cons(X4,nil) = X2
                  & ssItem(X4) ) )
            & ? [X5] :
                ( ~ memberP(sK1,X5)
                & memberP(sK0,X5)
                & ssItem(X5) )
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil = sK2
              & nil = X3 )
            | ? [X4] :
                ( memberP(X3,X4)
                & cons(X4,nil) = sK2
                & ssItem(X4) ) )
          & ? [X5] :
              ( ~ memberP(sK1,X5)
              & memberP(sK0,X5)
              & ssItem(X5) )
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X3] :
        ( ( ( nil = sK2
            & nil = X3 )
          | ? [X4] :
              ( memberP(X3,X4)
              & cons(X4,nil) = sK2
              & ssItem(X4) ) )
        & ? [X5] :
            ( ~ memberP(sK1,X5)
            & memberP(sK0,X5)
            & ssItem(X5) )
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( ( nil = sK2
          & nil = sK3 )
        | ? [X4] :
            ( memberP(sK3,X4)
            & cons(X4,nil) = sK2
            & ssItem(X4) ) )
      & ? [X5] :
          ( ~ memberP(sK1,X5)
          & memberP(sK0,X5)
          & ssItem(X5) )
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X4] :
        ( memberP(sK3,X4)
        & cons(X4,nil) = sK2
        & ssItem(X4) )
   => ( memberP(sK3,sK4)
      & sK2 = cons(sK4,nil)
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ? [X5] :
        ( ~ memberP(sK1,X5)
        & memberP(sK0,X5)
        & ssItem(X5) )
   => ( ~ memberP(sK1,sK5)
      & memberP(sK0,sK5)
      & ssItem(sK5) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil = X2
                      & nil = X3 )
                    | ? [X4] :
                        ( memberP(X3,X4)
                        & cons(X4,nil) = X2
                        & ssItem(X4) ) )
                  & ? [X5] :
                      ( ~ memberP(X1,X5)
                      & memberP(X0,X5)
                      & 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)
                   => ( ( ( nil != X2
                          | nil != X3 )
                        & ! [X4] :
                            ( ssItem(X4)
                           => ( ~ memberP(X3,X4)
                              | cons(X4,nil) != X2 ) ) )
                      | ! [X5] :
                          ( ssItem(X5)
                         => ( memberP(X1,X5)
                            | ~ memberP(X0,X5) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil != X2
                          | nil != X3 )
                        & ! [X5] :
                            ( ssItem(X5)
                           => ( ~ memberP(X3,X5)
                              | cons(X5,nil) != X2 ) ) )
                      | ! [X4] :
                          ( ssItem(X4)
                         => ( memberP(X1,X4)
                            | ~ memberP(X0,X4) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil != X2
                        | nil != X3 )
                      & ! [X5] :
                          ( ssItem(X5)
                         => ( ~ memberP(X3,X5)
                            | cons(X5,nil) != X2 ) ) )
                    | ! [X4] :
                        ( ssItem(X4)
                       => ( memberP(X1,X4)
                          | ~ memberP(X0,X4) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nOnpfyuJ9A/Vampire---4.8_7416',co1) ).

fof(f289,plain,
    ( sK4 = sK5
    | ~ ssItem(sK5)
    | ~ spl12_3
    | ~ spl12_4 ),
    inference(resolution,[],[f262,f197]) ).

fof(f197,plain,
    memberP(sK2,sK5),
    inference(definition_unfolding,[],[f154,f152]) ).

fof(f152,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f129]) ).

fof(f154,plain,
    memberP(sK0,sK5),
    inference(cnf_transformation,[],[f129]) ).

fof(f262,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | sK4 = X0
        | ~ ssItem(X0) )
    | ~ spl12_3
    | ~ spl12_4 ),
    inference(subsumption_resolution,[],[f261,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.nOnpfyuJ9A/Vampire---4.8_7416',ax38) ).

fof(f261,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | sK4 = X0
        | memberP(nil,X0)
        | ~ ssItem(X0) )
    | ~ spl12_3
    | ~ spl12_4 ),
    inference(subsumption_resolution,[],[f260,f223]) ).

fof(f223,plain,
    ( ssItem(sK4)
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl12_4
  <=> ssItem(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).

fof(f260,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | sK4 = X0
        | memberP(nil,X0)
        | ~ ssItem(sK4)
        | ~ ssItem(X0) )
    | ~ spl12_3 ),
    inference(subsumption_resolution,[],[f250,f173]) ).

fof(f173,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.nOnpfyuJ9A/Vampire---4.8_7416',ax17) ).

fof(f250,plain,
    ( ! [X0] :
        ( ~ memberP(sK2,X0)
        | sK4 = X0
        | memberP(nil,X0)
        | ~ ssList(nil)
        | ~ ssItem(sK4)
        | ~ ssItem(X0) )
    | ~ spl12_3 ),
    inference(superposition,[],[f175,f218]) ).

fof(f218,plain,
    ( sK2 = cons(sK4,nil)
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f216,plain,
    ( spl12_3
  <=> sK2 = cons(sK4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).

fof(f175,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X1,X2),X0)
      | X0 = X1
      | memberP(X2,X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,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,[],[f136]) ).

fof(f136,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,[],[f109]) ).

fof(f109,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/sandbox/tmp/tmp.nOnpfyuJ9A/Vampire---4.8_7416',ax37) ).

fof(f196,plain,
    ~ memberP(sK3,sK5),
    inference(definition_unfolding,[],[f155,f151]) ).

fof(f151,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f129]) ).

fof(f155,plain,
    ~ memberP(sK1,sK5),
    inference(cnf_transformation,[],[f129]) ).

fof(f241,plain,
    ( ~ spl12_1
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(avatar_contradiction_clause,[],[f240]) ).

fof(f240,plain,
    ( $false
    | ~ spl12_1
    | ~ spl12_4
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f239,f223]) ).

fof(f239,plain,
    ( ~ ssItem(sK4)
    | ~ spl12_1
    | ~ spl12_5 ),
    inference(resolution,[],[f238,f174]) ).

fof(f238,plain,
    ( memberP(nil,sK4)
    | ~ spl12_1
    | ~ spl12_5 ),
    inference(forward_demodulation,[],[f209,f228]) ).

fof(f228,plain,
    ( nil = sK3
    | ~ spl12_5 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl12_5
  <=> nil = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).

fof(f237,plain,
    ( ~ spl12_2
    | ~ spl12_5 ),
    inference(avatar_contradiction_clause,[],[f236]) ).

fof(f236,plain,
    ( $false
    | ~ spl12_2
    | ~ spl12_5 ),
    inference(subsumption_resolution,[],[f234,f232]) ).

fof(f232,plain,
    ( memberP(nil,sK5)
    | ~ spl12_2 ),
    inference(superposition,[],[f197,f213]) ).

fof(f213,plain,
    ( nil = sK2
    | ~ spl12_2 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl12_2
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f234,plain,
    ( ~ memberP(nil,sK5)
    | ~ spl12_5 ),
    inference(superposition,[],[f196,f228]) ).

fof(f231,plain,
    ( spl12_4
    | spl12_5 ),
    inference(avatar_split_clause,[],[f156,f226,f221]) ).

fof(f156,plain,
    ( nil = sK3
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f230,plain,
    ( spl12_3
    | spl12_5 ),
    inference(avatar_split_clause,[],[f157,f226,f216]) ).

fof(f157,plain,
    ( nil = sK3
    | sK2 = cons(sK4,nil) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f229,plain,
    ( spl12_1
    | spl12_5 ),
    inference(avatar_split_clause,[],[f158,f226,f207]) ).

fof(f158,plain,
    ( nil = sK3
    | memberP(sK3,sK4) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f224,plain,
    ( spl12_4
    | spl12_2 ),
    inference(avatar_split_clause,[],[f159,f211,f221]) ).

fof(f159,plain,
    ( nil = sK2
    | ssItem(sK4) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f214,plain,
    ( spl12_1
    | spl12_2 ),
    inference(avatar_split_clause,[],[f161,f211,f207]) ).

fof(f161,plain,
    ( nil = sK2
    | memberP(sK3,sK4) ),
    inference(cnf_transformation,[],[f129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC407+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % 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
% 0.14/0.33  % Computer : n016.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Fri May  3 20:25:37 EDT 2024
% 0.14/0.33  % CPUTime    : 
% 0.14/0.33  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.33  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.nOnpfyuJ9A/Vampire---4.8_7416
% 0.50/0.72  % (7524)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)
% 0.50/0.72  % (7527)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)
% 0.50/0.72  % (7525)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)
% 0.50/0.72  % (7526)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.72  % (7528)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)
% 0.50/0.72  % (7529)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)
% 0.50/0.72  % (7530)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)
% 0.50/0.72  % (7531)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)
% 0.50/0.72  % (7531)Refutation not found, incomplete strategy% (7531)------------------------------
% 0.50/0.72  % (7531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72  % (7531)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72  
% 0.50/0.72  % (7531)Memory used [KB]: 1136
% 0.50/0.72  % (7531)Time elapsed: 0.004 s
% 0.50/0.72  % (7531)Instructions burned: 5 (million)
% 0.50/0.72  % (7531)------------------------------
% 0.50/0.72  % (7531)------------------------------
% 0.50/0.72  % (7529)First to succeed.
% 0.50/0.72  % (7529)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7523"
% 0.50/0.72  % (7529)Refutation found. Thanks to Tanya!
% 0.50/0.72  % SZS status Theorem for Vampire---4
% 0.50/0.72  % SZS output start Proof for Vampire---4
% See solution above
% 0.50/0.72  % (7529)------------------------------
% 0.50/0.72  % (7529)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72  % (7529)Termination reason: Refutation
% 0.50/0.72  
% 0.50/0.72  % (7529)Memory used [KB]: 1176
% 0.50/0.72  % (7529)Time elapsed: 0.006 s
% 0.50/0.72  % (7529)Instructions burned: 9 (million)
% 0.50/0.72  % (7523)Success in time 0.388 s
% 0.50/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------