TSTP Solution File: SWC044+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC044+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 : n014.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 04:35:48 EDT 2024

% Result   : Theorem 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :  162 (  63 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  180 (  53   ~;  33   |;  77   &)
%                                         (   1 <=>;  16  =>;   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   :   48 (  24   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f216,plain,
    $false,
    inference(subsumption_resolution,[],[f213,f135]) ).

fof(f135,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( nil != sK0
    & rearsegP(sK3,sK2)
    & sK0 = sK2
    & sK1 = sK3
    & nil = sK1
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f101,f124,f123,f122,f121]) ).

fof(f121,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( nil != X0
                    & rearsegP(X3,X2)
                    & X0 = X2
                    & X1 = X3
                    & nil = X1
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != sK0
                  & rearsegP(X3,X2)
                  & sK0 = X2
                  & X1 = X3
                  & nil = X1
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( nil != sK0
                & rearsegP(X3,X2)
                & sK0 = X2
                & X1 = X3
                & nil = X1
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( nil != sK0
              & rearsegP(X3,X2)
              & sK0 = X2
              & sK1 = X3
              & nil = sK1
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( nil != sK0
            & rearsegP(X3,X2)
            & sK0 = X2
            & sK1 = X3
            & nil = sK1
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( nil != sK0
          & rearsegP(X3,sK2)
          & sK0 = sK2
          & sK1 = X3
          & nil = sK1
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f124,plain,
    ( ? [X3] :
        ( nil != sK0
        & rearsegP(X3,sK2)
        & sK0 = sK2
        & sK1 = X3
        & nil = sK1
        & ssList(X3) )
   => ( nil != sK0
      & rearsegP(sK3,sK2)
      & sK0 = sK2
      & sK1 = sK3
      & nil = sK1
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != X0
                  & rearsegP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & nil = X1
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( nil != X0
                  & rearsegP(X3,X2)
                  & X0 = X2
                  & X1 = X3
                  & nil = X1
                  & 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)
                   => ( nil = X0
                      | ~ rearsegP(X3,X2)
                      | X0 != X2
                      | X1 != X3
                      | nil != X1 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

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

fof(f213,plain,
    ~ ssList(sK2),
    inference(resolution,[],[f169,f207]) ).

fof(f207,plain,
    ~ rearsegP(sK2,sK3),
    inference(subsumption_resolution,[],[f206,f135]) ).

fof(f206,plain,
    ( ~ rearsegP(sK2,sK3)
    | ~ ssList(sK2) ),
    inference(subsumption_resolution,[],[f205,f136]) ).

fof(f136,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f125]) ).

fof(f205,plain,
    ( ~ rearsegP(sK2,sK3)
    | ~ ssList(sK3)
    | ~ ssList(sK2) ),
    inference(subsumption_resolution,[],[f200,f140]) ).

fof(f140,plain,
    rearsegP(sK3,sK2),
    inference(cnf_transformation,[],[f125]) ).

fof(f200,plain,
    ( ~ rearsegP(sK3,sK2)
    | ~ rearsegP(sK2,sK3)
    | ~ ssList(sK3)
    | ~ ssList(sK2) ),
    inference(resolution,[],[f180,f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( sQ5_eqProxy(X0,X1)
      | ~ rearsegP(X1,X0)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(equality_proxy_replacement,[],[f148,f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( sQ5_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ rearsegP(X1,X0)
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ! [X1] :
          ( X0 = X1
          | ~ rearsegP(X1,X0)
          | ~ rearsegP(X0,X1)
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( rearsegP(X1,X0)
              & rearsegP(X0,X1) )
           => X0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).

fof(f180,plain,
    ~ sQ5_eqProxy(sK2,sK3),
    inference(equality_proxy_replacement,[],[f163,f179]) ).

fof(f163,plain,
    sK2 != sK3,
    inference(definition_unfolding,[],[f141,f162,f139]) ).

fof(f139,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f125]) ).

fof(f162,plain,
    nil = sK3,
    inference(definition_unfolding,[],[f137,f138]) ).

fof(f138,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f125]) ).

fof(f137,plain,
    nil = sK1,
    inference(cnf_transformation,[],[f125]) ).

fof(f141,plain,
    nil != sK0,
    inference(cnf_transformation,[],[f125]) ).

fof(f169,plain,
    ! [X0] :
      ( rearsegP(X0,sK3)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f145,f162]) ).

fof(f145,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0] :
      ( rearsegP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0] :
      ( ssList(X0)
     => rearsegP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWC044+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.11  % 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
% 0.11/0.31  % Computer : n014.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sun May 19 03:04:08 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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
% 0.62/0.78  % (29905)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 (2995ds/34Mi)
% 0.62/0.78  % (29910)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.78  % (29912)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 (2995ds/56Mi)
% 0.62/0.78  % (29911)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 theBenchmark for (2995ds/83Mi)
% 0.62/0.78  % (29909)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 (2995ds/34Mi)
% 0.62/0.78  % (29906)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 (2995ds/51Mi)
% 0.62/0.78  % (29912)First to succeed.
% 0.62/0.78  % (29910)Also succeeded, but the first one will report.
% 0.62/0.78  % (29912)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29904"
% 0.62/0.78  % (29912)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Theorem for theBenchmark
% 0.62/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.78  % (29912)------------------------------
% 0.62/0.78  % (29912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (29912)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (29912)Memory used [KB]: 1157
% 0.62/0.78  % (29912)Time elapsed: 0.004 s
% 0.62/0.78  % (29912)Instructions burned: 5 (million)
% 0.62/0.78  % (29904)Success in time 0.459 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------