TSTP Solution File: SWC375+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC375+1 : TPTP v8.2.0. 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 : n003.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 : Tue May 21 04:38:32 EDT 2024

% Result   : Theorem 0.52s 0.73s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :  169 (  43 equ)
%            Maximal formula atoms :   24 (   8 avg)
%            Number of connectives :  190 (  42   ~;  38   |;  95   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   45 (  10   !;  35   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f157,plain,
    $false,
    inference(subsumption_resolution,[],[f155,f156]) ).

fof(f156,plain,
    ~ memberP(sK3,sK4),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ( ~ memberP(sK3,sK4)
    | ~ memberP(sK3,sK4) ),
    inference(definition_unfolding,[],[f131,f146,f126]) ).

fof(f126,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ( ( ~ memberP(sK0,sK4)
      | ~ memberP(sK1,sK4) )
    & ( memberP(sK0,sK4)
      | memberP(sK1,sK4) )
    & ssItem(sK4)
    & sK2 = sK3
    & 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,f108,f107,f106,f105,f104]) ).

fof(f104,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ( ~ memberP(X0,X4)
                          | ~ memberP(X1,X4) )
                        & ( memberP(X0,X4)
                          | memberP(X1,X4) )
                        & ssItem(X4) )
                    & X2 = X3
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ( ~ memberP(sK0,X4)
                        | ~ memberP(X1,X4) )
                      & ( memberP(sK0,X4)
                        | memberP(X1,X4) )
                      & ssItem(X4) )
                  & X2 = X3
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ( ~ memberP(sK0,X4)
                      | ~ memberP(X1,X4) )
                    & ( memberP(sK0,X4)
                      | memberP(X1,X4) )
                    & ssItem(X4) )
                & X2 = X3
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ( ~ memberP(sK0,X4)
                    | ~ memberP(sK1,X4) )
                  & ( memberP(sK0,X4)
                    | memberP(sK1,X4) )
                  & ssItem(X4) )
              & X2 = X3
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ( ~ memberP(sK0,X4)
                  | ~ memberP(sK1,X4) )
                & ( memberP(sK0,X4)
                  | memberP(sK1,X4) )
                & ssItem(X4) )
            & X2 = X3
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ( ~ memberP(sK0,X4)
                | ~ memberP(sK1,X4) )
              & ( memberP(sK0,X4)
                | memberP(sK1,X4) )
              & ssItem(X4) )
          & sK2 = X3
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ( ~ memberP(sK0,X4)
              | ~ memberP(sK1,X4) )
            & ( memberP(sK0,X4)
              | memberP(sK1,X4) )
            & ssItem(X4) )
        & sK2 = X3
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ? [X4] :
          ( ( ~ memberP(sK0,X4)
            | ~ memberP(sK1,X4) )
          & ( memberP(sK0,X4)
            | memberP(sK1,X4) )
          & ssItem(X4) )
      & sK2 = sK3
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f108,plain,
    ( ? [X4] :
        ( ( ~ memberP(sK0,X4)
          | ~ memberP(sK1,X4) )
        & ( memberP(sK0,X4)
          | memberP(sK1,X4) )
        & ssItem(X4) )
   => ( ( ~ memberP(sK0,sK4)
        | ~ memberP(sK1,sK4) )
      & ( memberP(sK0,sK4)
        | memberP(sK1,sK4) )
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

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

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ! [X4] :
                        ( ssItem(X4)
                       => ( ( memberP(X0,X4)
                            & memberP(X1,X4) )
                          | ( ~ memberP(X0,X4)
                            & ~ memberP(X1,X4) ) ) )
                    | X2 != X3
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f146,plain,
    sK0 = sK3,
    inference(definition_unfolding,[],[f127,f128]) ).

fof(f128,plain,
    sK2 = sK3,
    inference(cnf_transformation,[],[f109]) ).

fof(f127,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f109]) ).

fof(f131,plain,
    ( ~ memberP(sK0,sK4)
    | ~ memberP(sK1,sK4) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f155,plain,
    memberP(sK3,sK4),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ( memberP(sK3,sK4)
    | memberP(sK3,sK4) ),
    inference(definition_unfolding,[],[f130,f146,f126]) ).

fof(f130,plain,
    ( memberP(sK0,sK4)
    | memberP(sK1,sK4) ),
    inference(cnf_transformation,[],[f109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC375+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.14  % 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
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 02:49:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.52/0.73  % (5477)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.52/0.73  % (5477)First to succeed.
% 0.52/0.73  % (5476)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.73  % (5474)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 theBenchmark for (2996ds/34Mi)
% 0.52/0.73  % (5475)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 theBenchmark for (2996ds/51Mi)
% 0.52/0.73  % (5477)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5473"
% 0.52/0.73  % (5477)Refutation found. Thanks to Tanya!
% 0.52/0.73  % SZS status Theorem for theBenchmark
% 0.52/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.73  % (5477)------------------------------
% 0.52/0.73  % (5477)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73  % (5477)Termination reason: Refutation
% 0.52/0.73  
% 0.52/0.73  % (5477)Memory used [KB]: 1130
% 0.52/0.73  % (5477)Time elapsed: 0.002 s
% 0.52/0.73  % (5477)Instructions burned: 4 (million)
% 0.52/0.73  % (5473)Success in time 0.376 s
% 0.52/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------