TSTP Solution File: SWC103+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC103+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 : n020.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 : Wed May  1 03:59:47 EDT 2024

% Result   : Theorem 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   79 (  18 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :   88 (  29   ~;  23   |;  26   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   16 (   8   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f219,plain,
    $false,
    inference(avatar_sat_refutation,[],[f214,f216,f218]) ).

fof(f218,plain,
    spl9_4,
    inference(avatar_split_clause,[],[f217,f211]) ).

fof(f211,plain,
    ( spl9_4
  <=> neq(sK2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f217,plain,
    neq(sK2,nil),
    inference(subsumption_resolution,[],[f131,f184]) ).

fof(f184,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f138,f136]) ).

fof(f136,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( frontsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( ~ frontsegP(X1,X0)
                    | ~ neq(X0,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ~ frontsegP(X3,X2)
                        | ~ neq(X2,nil) )
                      & neq(X3,nil) )
                    | ( frontsegP(X1,X0)
                      & neq(X0,nil) )
                    | ( nil = X3
                      & nil != X2 )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.RZDg6KFxIO/Vampire---4.8_13925',co1) ).

fof(f138,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f99]) ).

fof(f131,plain,
    ( ~ neq(sK3,nil)
    | neq(sK2,nil) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f216,plain,
    spl9_3,
    inference(avatar_split_clause,[],[f215,f207]) ).

fof(f207,plain,
    ( spl9_3
  <=> frontsegP(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f215,plain,
    frontsegP(sK3,sK2),
    inference(subsumption_resolution,[],[f132,f184]) ).

fof(f132,plain,
    ( ~ neq(sK3,nil)
    | frontsegP(sK3,sK2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f214,plain,
    ( ~ spl9_3
    | ~ spl9_4 ),
    inference(avatar_split_clause,[],[f185,f211,f207]) ).

fof(f185,plain,
    ( ~ neq(sK2,nil)
    | ~ frontsegP(sK3,sK2) ),
    inference(definition_unfolding,[],[f133,f137,f136,f137]) ).

fof(f137,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f99]) ).

fof(f133,plain,
    ( ~ neq(sK0,nil)
    | ~ frontsegP(sK1,sK0) ),
    inference(cnf_transformation,[],[f99]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC103+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:16:17 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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.RZDg6KFxIO/Vampire---4.8_13925
% 0.57/0.77  % (14187)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)
% 0.57/0.77  % (14188)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)
% 0.57/0.77  % (14181)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)
% 0.57/0.77  % (14183)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.77  % (14182)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)
% 0.57/0.77  % (14184)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)
% 0.57/0.77  % (14185)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)
% 0.57/0.77  % (14186)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)
% 0.57/0.77  % (14187)First to succeed.
% 0.57/0.77  % (14184)Also succeeded, but the first one will report.
% 0.57/0.77  % (14187)Refutation found. Thanks to Tanya!
% 0.57/0.77  % SZS status Theorem for Vampire---4
% 0.57/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77  % (14187)------------------------------
% 0.57/0.77  % (14187)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77  % (14187)Termination reason: Refutation
% 0.57/0.77  
% 0.57/0.77  % (14187)Memory used [KB]: 1134
% 0.57/0.77  % (14187)Time elapsed: 0.003 s
% 0.57/0.77  % (14187)Instructions burned: 6 (million)
% 0.57/0.77  % (14187)------------------------------
% 0.57/0.77  % (14187)------------------------------
% 0.57/0.77  % (14177)Success in time 0.395 s
% 0.57/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------