TSTP Solution File: SWC391+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC391+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 04:38:39 EDT 2024

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :  133 (  43 equ)
%            Maximal formula atoms :   20 (   7 avg)
%            Number of connectives :  138 (  24   ~;   8   |;  91   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   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(f223,plain,
    $false,
    inference(subsumption_resolution,[],[f191,f190]) ).

fof(f190,plain,
    ~ memberP(sK3,sK4),
    inference(definition_unfolding,[],[f154,f149]) ).

fof(f149,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ( ~ memberP(sK1,sK4)
    & memberP(sK0,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,f126,f125,f124,f123,f122]) ).

fof(f122,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ~ memberP(X1,X4)
                        & memberP(X0,X4)
                        & ssItem(X4) )
                    & X2 = X3
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ memberP(X1,X4)
                      & memberP(sK0,X4)
                      & ssItem(X4) )
                  & X2 = X3
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ~ memberP(X1,X4)
                    & memberP(sK0,X4)
                    & ssItem(X4) )
                & X2 = X3
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ~ memberP(sK1,X4)
                  & memberP(sK0,X4)
                  & ssItem(X4) )
              & X2 = X3
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ~ memberP(sK1,X4)
                & memberP(sK0,X4)
                & ssItem(X4) )
            & X2 = X3
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ~ memberP(sK1,X4)
              & memberP(sK0,X4)
              & ssItem(X4) )
          & sK2 = X3
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f125,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ~ memberP(sK1,X4)
            & memberP(sK0,X4)
            & ssItem(X4) )
        & sK2 = X3
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ? [X4] :
          ( ~ memberP(sK1,X4)
          & memberP(sK0,X4)
          & ssItem(X4) )
      & sK2 = sK3
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f126,plain,
    ( ? [X4] :
        ( ~ memberP(sK1,X4)
        & memberP(sK0,X4)
        & ssItem(X4) )
   => ( ~ memberP(sK1,sK4)
      & memberP(sK0,sK4)
      & ssItem(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ~ memberP(X1,X4)
                      & memberP(X0,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(X1,X4)
                      & memberP(X0,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(X1,X4)
                            | ~ memberP(X0,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(X1,X4)
                          | ~ memberP(X0,X4) ) )
                    | X2 != X3
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f154,plain,
    ~ memberP(sK1,sK4),
    inference(cnf_transformation,[],[f127]) ).

fof(f191,plain,
    memberP(sK3,sK4),
    inference(definition_unfolding,[],[f153,f189]) ).

fof(f189,plain,
    sK0 = sK3,
    inference(definition_unfolding,[],[f150,f151]) ).

fof(f151,plain,
    sK2 = sK3,
    inference(cnf_transformation,[],[f127]) ).

fof(f150,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f127]) ).

fof(f153,plain,
    memberP(sK0,sK4),
    inference(cnf_transformation,[],[f127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWC391+1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 03:33:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.54/0.74  % (27291)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.74  % (27284)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)
% 0.54/0.74  % (27286)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.74  % (27287)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)
% 0.54/0.74  % (27288)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.74  % (27289)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.74  % (27291)First to succeed.
% 0.54/0.74  % (27291)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27283"
% 0.54/0.74  % (27291)Refutation found. Thanks to Tanya!
% 0.54/0.74  % SZS status Theorem for theBenchmark
% 0.54/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.74  % (27291)------------------------------
% 0.54/0.74  % (27291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74  % (27291)Termination reason: Refutation
% 0.54/0.74  
% 0.54/0.74  % (27291)Memory used [KB]: 1142
% 0.54/0.74  % (27291)Time elapsed: 0.003 s
% 0.54/0.74  % (27291)Instructions burned: 5 (million)
% 0.54/0.74  % (27283)Success in time 0.378 s
% 0.54/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------