TSTP Solution File: SWC378-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC378-1 : 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 : n026.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 09:50:42 EDT 2024

% Result   : Unsatisfiable 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   63 (  13 unt;   0 def)
%            Number of atoms       :  186 (  10 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  234 ( 111   ~; 121   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f681,plain,
    $false,
    inference(avatar_sat_refutation,[],[f217,f218,f672,f678]) ).

fof(f678,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f677]) ).

fof(f677,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f676,f196]) ).

fof(f196,axiom,
    ssItem(sk7),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_11) ).

fof(f676,plain,
    ( ~ ssItem(sk7)
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f673,f216]) ).

fof(f216,plain,
    ( memberP(sk3,sk7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_2
  <=> memberP(sk3,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f673,plain,
    ( ~ memberP(sk3,sk7)
    | ~ ssItem(sk7)
    | spl0_1 ),
    inference(resolution,[],[f211,f586]) ).

fof(f586,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ memberP(sk3,X0)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f585,f250]) ).

fof(f250,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk5,X0) ),
    inference(subsumption_resolution,[],[f249,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_8) ).

fof(f249,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk6)
      | ~ memberP(sk5,X0) ),
    inference(subsumption_resolution,[],[f222,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_7) ).

fof(f222,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | ~ memberP(sk5,X0) ),
    inference(superposition,[],[f140,f194]) ).

fof(f194,axiom,
    sk4 = app(sk5,sk6),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_9) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',clause140) ).

fof(f585,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(sk3,X0)
      | memberP(sk5,X0)
      | memberP(sk4,X0) ),
    inference(subsumption_resolution,[],[f584,f192]) ).

fof(f584,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(sk3,X0)
      | memberP(sk5,X0)
      | ~ ssList(sk5)
      | memberP(sk4,X0) ),
    inference(subsumption_resolution,[],[f583,f200]) ).

fof(f200,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_2) ).

fof(f583,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(sk3,X0)
      | memberP(sk5,X0)
      | ~ ssList(sk4)
      | ~ ssList(sk5)
      | memberP(sk4,X0) ),
    inference(duplicate_literal_removal,[],[f582]) ).

fof(f582,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(sk3,X0)
      | memberP(sk5,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk4)
      | ~ ssList(sk5)
      | memberP(sk4,X0) ),
    inference(resolution,[],[f557,f158]) ).

fof(f158,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X1),X2)
      | memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | memberP(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',clause158) ).

fof(f557,plain,
    ! [X0] :
      ( memberP(app(sk4,sk5),X0)
      | ~ ssItem(X0)
      | ~ memberP(sk3,X0) ),
    inference(subsumption_resolution,[],[f556,f199]) ).

fof(f199,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_1) ).

fof(f556,plain,
    ! [X0] :
      ( memberP(app(sk4,sk5),X0)
      | ~ ssItem(X0)
      | ~ ssList(sk3)
      | ~ memberP(sk3,X0) ),
    inference(subsumption_resolution,[],[f539,f192]) ).

fof(f539,plain,
    ! [X0] :
      ( memberP(app(sk4,sk5),X0)
      | ~ ssItem(X0)
      | ~ ssList(sk5)
      | ~ ssList(sk3)
      | ~ memberP(sk3,X0) ),
    inference(superposition,[],[f141,f360]) ).

fof(f360,plain,
    app(sk4,sk5) = app(sk5,sk3),
    inference(subsumption_resolution,[],[f345,f192]) ).

fof(f345,plain,
    ( app(sk4,sk5) = app(sk5,sk3)
    | ~ ssList(sk5) ),
    inference(superposition,[],[f254,f195]) ).

fof(f195,axiom,
    sk3 = app(sk6,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_10) ).

fof(f254,plain,
    ! [X0] :
      ( app(sk5,app(sk6,X0)) = app(sk4,X0)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f253,f193]) ).

fof(f253,plain,
    ! [X0] :
      ( app(sk5,app(sk6,X0)) = app(sk4,X0)
      | ~ ssList(sk6)
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f224,f192]) ).

fof(f224,plain,
    ! [X0] :
      ( app(sk5,app(sk6,X0)) = app(sk4,X0)
      | ~ ssList(sk5)
      | ~ ssList(sk6)
      | ~ ssList(X0) ),
    inference(superposition,[],[f149,f194]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',clause149) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',clause141) ).

fof(f211,plain,
    ( ~ memberP(sk4,sk7)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_1
  <=> memberP(sk4,sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f672,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f671]) ).

fof(f671,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f670,f212]) ).

fof(f212,plain,
    ( memberP(sk4,sk7)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f670,plain,
    ( ~ memberP(sk4,sk7)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f669,f196]) ).

fof(f669,plain,
    ( ~ ssItem(sk7)
    | ~ memberP(sk4,sk7)
    | spl0_2 ),
    inference(resolution,[],[f596,f215]) ).

fof(f215,plain,
    ( ~ memberP(sk3,sk7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f596,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk4,X0) ),
    inference(subsumption_resolution,[],[f595,f192]) ).

fof(f595,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk5)
      | ~ memberP(sk4,X0) ),
    inference(subsumption_resolution,[],[f592,f200]) ).

fof(f592,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk4)
      | ~ ssList(sk5)
      | ~ memberP(sk4,X0) ),
    inference(duplicate_literal_removal,[],[f589]) ).

fof(f589,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X0)
      | ~ ssList(sk4)
      | ~ ssList(sk5)
      | ~ memberP(sk4,X0) ),
    inference(resolution,[],[f568,f140]) ).

fof(f568,plain,
    ! [X0] :
      ( ~ memberP(app(sk4,sk5),X0)
      | memberP(sk3,X0)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f567,f288]) ).

fof(f288,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk5,X0) ),
    inference(subsumption_resolution,[],[f287,f192]) ).

fof(f287,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk5)
      | ~ memberP(sk5,X0) ),
    inference(subsumption_resolution,[],[f267,f193]) ).

fof(f267,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk6)
      | ~ ssList(sk5)
      | ~ memberP(sk5,X0) ),
    inference(superposition,[],[f141,f195]) ).

fof(f567,plain,
    ! [X0] :
      ( ~ memberP(app(sk4,sk5),X0)
      | memberP(sk3,X0)
      | ~ ssItem(X0)
      | memberP(sk5,X0) ),
    inference(subsumption_resolution,[],[f566,f199]) ).

fof(f566,plain,
    ! [X0] :
      ( ~ memberP(app(sk4,sk5),X0)
      | memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk3)
      | memberP(sk5,X0) ),
    inference(subsumption_resolution,[],[f546,f192]) ).

fof(f546,plain,
    ! [X0] :
      ( ~ memberP(app(sk4,sk5),X0)
      | memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk5)
      | ~ ssList(sk3)
      | memberP(sk5,X0) ),
    inference(superposition,[],[f158,f360]) ).

fof(f218,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f202,f214,f210]) ).

fof(f202,plain,
    ( ~ memberP(sk3,sk7)
    | ~ memberP(sk4,sk7) ),
    inference(definition_unfolding,[],[f198,f191,f190]) ).

fof(f198,axiom,
    ( ~ memberP(sk1,sk7)
    | ~ memberP(sk2,sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_13) ).

fof(f217,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f201,f214,f210]) ).

fof(f201,plain,
    ( memberP(sk3,sk7)
    | memberP(sk4,sk7) ),
    inference(definition_unfolding,[],[f197,f191,f190]) ).

fof(f197,axiom,
    ( memberP(sk1,sk7)
    | memberP(sk2,sk7) ),
    file('/export/starexec/sandbox2/tmp/tmp.25NILuMFwN/Vampire---4.8_7231',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC378-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15  % 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 : n026.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 20:35:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_NHN 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.25NILuMFwN/Vampire---4.8_7231
% 0.59/0.75  % (7562)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)
% 0.59/0.75  % (7555)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)
% 0.59/0.75  % (7557)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (7558)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)
% 0.59/0.75  % (7559)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)
% 0.59/0.75  % (7560)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)
% 0.59/0.75  % (7561)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)
% 0.59/0.75  % (7556)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)
% 0.59/0.75  % (7562)Refutation not found, incomplete strategy% (7562)------------------------------
% 0.59/0.75  % (7562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (7562)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (7562)Memory used [KB]: 1161
% 0.59/0.75  % (7562)Time elapsed: 0.002 s
% 0.59/0.75  % (7562)Instructions burned: 4 (million)
% 0.59/0.75  % (7562)------------------------------
% 0.59/0.75  % (7562)------------------------------
% 0.59/0.76  % (7555)Refutation not found, incomplete strategy% (7555)------------------------------
% 0.59/0.76  % (7555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (7555)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (7555)Memory used [KB]: 1193
% 0.59/0.76  % (7555)Time elapsed: 0.006 s
% 0.59/0.76  % (7555)Instructions burned: 8 (million)
% 0.59/0.76  % (7555)------------------------------
% 0.59/0.76  % (7555)------------------------------
% 0.59/0.76  % (7559)Refutation not found, incomplete strategy% (7559)------------------------------
% 0.59/0.76  % (7559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (7559)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (7559)Memory used [KB]: 1348
% 0.59/0.76  % (7559)Time elapsed: 0.009 s
% 0.59/0.76  % (7559)Instructions burned: 14 (million)
% 0.59/0.76  % (7559)------------------------------
% 0.59/0.76  % (7559)------------------------------
% 0.59/0.76  % (7560)First to succeed.
% 0.59/0.77  % (7560)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7400"
% 0.59/0.77  % (7560)Refutation found. Thanks to Tanya!
% 0.59/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77  % (7560)------------------------------
% 0.59/0.77  % (7560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (7560)Termination reason: Refutation
% 0.59/0.77  
% 0.59/0.77  % (7560)Memory used [KB]: 1270
% 0.59/0.77  % (7560)Time elapsed: 0.014 s
% 0.59/0.77  % (7560)Instructions burned: 20 (million)
% 0.59/0.77  % (7400)Success in time 0.378 s
% 0.59/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------