TSTP Solution File: SWC328+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC328+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 : n011.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 04:38:11 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :  139 (  42 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :  148 (  40   ~;  26   |;  67   &)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 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   :   36 (  12   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f283,plain,
    $false,
    inference(avatar_sat_refutation,[],[f267,f268,f282]) ).

fof(f282,plain,
    spl15_1,
    inference(avatar_contradiction_clause,[],[f281]) ).

fof(f281,plain,
    ( $false
    | spl15_1 ),
    inference(subsumption_resolution,[],[f276,f160]) ).

fof(f160,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ( ( ~ equalelemsP(sK0)
      | ~ segmentP(sK1,sK0) )
    & sK0 = sK2
    & sK1 = sK3
    & nil = sK2
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f99,f134,f133,f132,f131]) ).

fof(f131,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ equalelemsP(X0)
                      | ~ segmentP(X1,X0) )
                    & X0 = X2
                    & X1 = X3
                    & nil = X2
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ equalelemsP(sK0)
                    | ~ segmentP(X1,sK0) )
                  & sK0 = X2
                  & X1 = X3
                  & nil = X2
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f132,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ equalelemsP(sK0)
                  | ~ segmentP(X1,sK0) )
                & sK0 = X2
                & X1 = X3
                & nil = X2
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ equalelemsP(sK0)
                | ~ segmentP(sK1,sK0) )
              & sK0 = X2
              & sK1 = X3
              & nil = X2
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ equalelemsP(sK0)
              | ~ segmentP(sK1,sK0) )
            & sK0 = X2
            & sK1 = X3
            & nil = X2
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ equalelemsP(sK0)
            | ~ segmentP(sK1,sK0) )
          & sK0 = sK2
          & sK1 = X3
          & nil = sK2
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f134,plain,
    ( ? [X3] :
        ( ( ~ equalelemsP(sK0)
          | ~ segmentP(sK1,sK0) )
        & sK0 = sK2
        & sK1 = X3
        & nil = sK2
        & ssList(X3) )
   => ( ( ~ equalelemsP(sK0)
        | ~ segmentP(sK1,sK0) )
      & sK0 = sK2
      & sK1 = sK3
      & nil = sK2
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

fof(f276,plain,
    ( ~ ssList(sK3)
    | spl15_1 ),
    inference(resolution,[],[f214,f262]) ).

fof(f262,plain,
    ( ~ segmentP(sK3,sK2)
    | spl15_1 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl15_1
  <=> segmentP(sK3,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f214,plain,
    ! [X0] :
      ( segmentP(X0,sK2)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f168,f161]) ).

fof(f161,plain,
    nil = sK2,
    inference(cnf_transformation,[],[f135]) ).

fof(f168,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(f268,plain,
    spl15_2,
    inference(avatar_split_clause,[],[f215,f264]) ).

fof(f264,plain,
    ( spl15_2
  <=> equalelemsP(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f215,plain,
    equalelemsP(sK2),
    inference(definition_unfolding,[],[f177,f161]) ).

fof(f177,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f267,plain,
    ( ~ spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f208,f264,f260]) ).

fof(f208,plain,
    ( ~ equalelemsP(sK2)
    | ~ segmentP(sK3,sK2) ),
    inference(definition_unfolding,[],[f164,f163,f162,f163]) ).

fof(f162,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f135]) ).

fof(f163,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f135]) ).

fof(f164,plain,
    ( ~ equalelemsP(sK0)
    | ~ segmentP(sK1,sK0) ),
    inference(cnf_transformation,[],[f135]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC328+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:16:53 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
% 0.59/0.75  % (16534)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)
% 0.59/0.75  % (16526)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)
% 0.59/0.75  % (16529)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.59/0.75  % (16527)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)
% 0.59/0.75  % (16531)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)
% 0.59/0.75  % (16532)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)
% 0.59/0.75  % (16530)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)
% 0.59/0.75  % (16533)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 (2996ds/83Mi)
% 0.59/0.75  % (16534)First to succeed.
% 0.59/0.75  % (16534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16386"
% 0.59/0.75  % (16534)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for theBenchmark
% 0.59/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.75  % (16534)------------------------------
% 0.59/0.75  % (16534)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (16534)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (16534)Memory used [KB]: 1167
% 0.59/0.75  % (16534)Time elapsed: 0.003 s
% 0.59/0.75  % (16534)Instructions burned: 6 (million)
% 0.59/0.75  % (16386)Success in time 0.387 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------