TSTP Solution File: SWC019+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC019+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 : n008.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 09:48:00 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   33 (  12 unt;   0 def)
%            Number of atoms       :  208 (  79 equ)
%            Maximal formula atoms :   26 (   6 avg)
%            Number of connectives :  277 ( 102   ~;  73   |;  85   &)
%                                         (   2 <=>;  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   :   59 (  33   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f172,plain,
    $false,
    inference(subsumption_resolution,[],[f171,f166]) ).

fof(f166,plain,
    ~ neq(sK3,nil),
    inference(unit_resulting_resolution,[],[f127,f161,f156]) ).

fof(f156,plain,
    ! [X4] :
      ( ~ neq(X4,nil)
      | ~ frontsegP(sK3,X4)
      | ~ ssList(X4) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X4] :
      ( ~ frontsegP(sK3,X4)
      | ~ frontsegP(sK3,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f131,f146,f128]) ).

fof(f128,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ( ( nil != sK0
      | nil != sK1 )
    & ! [X4] :
        ( ~ frontsegP(sK0,X4)
        | ~ frontsegP(sK1,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    & 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])],[f101,f116,f115,f114,f113]) ).

fof(f113,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( nil != X0
                      | nil != X1 )
                    & ! [X4] :
                        ( ~ frontsegP(X0,X4)
                        | ~ frontsegP(X1,X4)
                        | ~ neq(X4,nil)
                        | ~ ssList(X4) )
                    & X2 = X3
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != sK0
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ frontsegP(sK0,X4)
                      | ~ frontsegP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & X2 = X3
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f114,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( nil != sK0
                  | nil != X1 )
                & ! [X4] :
                    ( ~ frontsegP(sK0,X4)
                    | ~ frontsegP(X1,X4)
                    | ~ neq(X4,nil)
                    | ~ ssList(X4) )
                & X2 = X3
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( nil != sK0
                | nil != sK1 )
              & ! [X4] :
                  ( ~ frontsegP(sK0,X4)
                  | ~ frontsegP(sK1,X4)
                  | ~ neq(X4,nil)
                  | ~ ssList(X4) )
              & X2 = X3
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f115,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( nil != sK0
              | nil != sK1 )
            & ! [X4] :
                ( ~ frontsegP(sK0,X4)
                | ~ frontsegP(sK1,X4)
                | ~ neq(X4,nil)
                | ~ ssList(X4) )
            & X2 = X3
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != sK0
            | nil != sK1 )
          & ! [X4] :
              ( ~ frontsegP(sK0,X4)
              | ~ frontsegP(sK1,X4)
              | ~ neq(X4,nil)
              | ~ ssList(X4) )
          & sK2 = X3
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f116,plain,
    ( ? [X3] :
        ( ( nil != sK0
          | nil != sK1 )
        & ! [X4] :
            ( ~ frontsegP(sK0,X4)
            | ~ frontsegP(sK1,X4)
            | ~ neq(X4,nil)
            | ~ ssList(X4) )
        & sK2 = X3
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( nil != sK0
        | nil != sK1 )
      & ! [X4] :
          ( ~ frontsegP(sK0,X4)
          | ~ frontsegP(sK1,X4)
          | ~ neq(X4,nil)
          | ~ ssList(X4) )
      & sK2 = sK3
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X0
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ frontsegP(X0,X4)
                      | ~ frontsegP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & X2 = X3
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X0
                    | nil != X1 )
                  & ! [X4] :
                      ( ~ frontsegP(X0,X4)
                      | ~ frontsegP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(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)
                   => ( ( nil = X0
                        & nil = X1 )
                      | ? [X4] :
                          ( frontsegP(X0,X4)
                          & frontsegP(X1,X4)
                          & neq(X4,nil)
                          & ssList(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)
                 => ( ( nil = X0
                      & nil = X1 )
                    | ? [X4] :
                        ( frontsegP(X0,X4)
                        & frontsegP(X1,X4)
                        & neq(X4,nil)
                        & ssList(X4) )
                    | X2 != X3
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lN3bqIVwVc/Vampire---4.8_9783',co1) ).

fof(f146,plain,
    sK0 = sK3,
    inference(definition_unfolding,[],[f129,f130]) ).

fof(f130,plain,
    sK2 = sK3,
    inference(cnf_transformation,[],[f117]) ).

fof(f129,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f117]) ).

fof(f131,plain,
    ! [X4] :
      ( ~ frontsegP(sK0,X4)
      | ~ frontsegP(sK1,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f161,plain,
    frontsegP(sK3,sK3),
    inference(unit_resulting_resolution,[],[f127,f140]) ).

fof(f140,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.lN3bqIVwVc/Vampire---4.8_9783',ax42) ).

fof(f127,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f117]) ).

fof(f171,plain,
    neq(sK3,nil),
    inference(unit_resulting_resolution,[],[f127,f135,f157,f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( X0 = X1
      | neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f102,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.lN3bqIVwVc/Vampire---4.8_9783',ax15) ).

fof(f157,plain,
    nil != sK3,
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ( nil != sK3
    | nil != sK3 ),
    inference(definition_unfolding,[],[f132,f146,f128]) ).

fof(f132,plain,
    ( nil != sK0
    | nil != sK1 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f135,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.lN3bqIVwVc/Vampire---4.8_9783',ax17) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC019+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15  % 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
% 0.16/0.37  % Computer : n008.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 20:35:38 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.lN3bqIVwVc/Vampire---4.8_9783
% 0.60/0.78  % (9958)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 (2995ds/56Mi)
% 0.60/0.78  % (9955)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 (2995ds/34Mi)
% 0.60/0.78  % (9953)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (9954)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (9956)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (9952)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 (2995ds/51Mi)
% 0.60/0.78  % (9951)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 (2995ds/34Mi)
% 0.60/0.78  % (9957)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 (2995ds/83Mi)
% 0.60/0.79  % (9954)First to succeed.
% 0.60/0.79  % (9956)Also succeeded, but the first one will report.
% 0.60/0.79  % (9954)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9950"
% 0.60/0.79  % (9954)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (9954)------------------------------
% 0.60/0.79  % (9954)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (9954)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (9954)Memory used [KB]: 1144
% 0.60/0.79  % (9954)Time elapsed: 0.004 s
% 0.60/0.79  % (9954)Instructions burned: 5 (million)
% 0.60/0.79  % (9950)Success in time 0.412 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------