TSTP Solution File: SWC182-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC182-1 : 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 : 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 : Wed May  1 04:00:23 EDT 2024

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   66 (  11 unt;   0 def)
%            Number of atoms       :  164 (  10 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  195 (  97   ~;  90   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f437,plain,
    $false,
    inference(avatar_sat_refutation,[],[f224,f325,f341,f369,f373,f376,f399,f433,f436]) ).

fof(f436,plain,
    ( ~ spl0_1
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f435]) ).

fof(f435,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f434,f193]) ).

fof(f193,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',co1_8) ).

fof(f434,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(resolution,[],[f398,f219]) ).

fof(f219,plain,
    ( memberP(sk6,sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl0_1
  <=> memberP(sk6,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f398,plain,
    ( ! [X0] :
        ( ~ memberP(sk6,X0)
        | ~ ssItem(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | ~ memberP(sk6,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f433,plain,
    ( ~ spl0_3
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f432]) ).

fof(f432,plain,
    ( $false
    | ~ spl0_3
    | spl0_12 ),
    inference(subsumption_resolution,[],[f431,f195]) ).

fof(f195,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',co1_10) ).

fof(f431,plain,
    ( ~ ssList(sk7)
    | ~ spl0_3
    | spl0_12 ),
    inference(subsumption_resolution,[],[f430,f316]) ).

fof(f316,plain,
    ( ssList(cons(sk5,sk3))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f315,plain,
    ( spl0_3
  <=> ssList(cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f430,plain,
    ( ~ ssList(cons(sk5,sk3))
    | ~ ssList(sk7)
    | spl0_12 ),
    inference(resolution,[],[f395,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',clause85) ).

fof(f395,plain,
    ( ~ ssList(app(cons(sk5,sk3),sk7))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f393,plain,
    ( spl0_12
  <=> ssList(app(cons(sk5,sk3),sk7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f399,plain,
    ( ~ spl0_12
    | spl0_13
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f391,f319,f397,f393]) ).

fof(f319,plain,
    ( spl0_4
  <=> sk3 = app(sk6,app(cons(sk5,sk3),sk7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f391,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ ssList(app(cons(sk5,sk3),sk7))
        | ~ memberP(sk6,X0) )
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f390,f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ~ memberP(sk3,X0)
      | ~ ssItem(X0) ),
    inference(definition_unfolding,[],[f71,f190]) ).

fof(f190,axiom,
    nil = sk3,
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',co1_5) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',clause71) ).

fof(f390,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(app(cons(sk5,sk3),sk7))
        | ~ memberP(sk6,X0) )
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f381,f194]) ).

fof(f194,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',co1_9) ).

fof(f381,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk6)
        | ~ ssList(app(cons(sk5,sk3),sk7))
        | ~ memberP(sk6,X0) )
    | ~ spl0_4 ),
    inference(superposition,[],[f140,f321]) ).

fof(f321,plain,
    ( sk3 = app(sk6,app(cons(sk5,sk3),sk7))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',clause140) ).

fof(f376,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f375]) ).

fof(f375,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f374,f193]) ).

fof(f374,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(resolution,[],[f340,f223]) ).

fof(f223,plain,
    ( memberP(sk7,sk5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl0_2
  <=> memberP(sk7,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f340,plain,
    ( ! [X0] :
        ( ~ memberP(sk7,X0)
        | ~ ssItem(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f339,plain,
    ( spl0_7
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | ~ memberP(sk7,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f373,plain,
    ( ~ spl0_3
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f372]) ).

fof(f372,plain,
    ( $false
    | ~ spl0_3
    | spl0_5 ),
    inference(subsumption_resolution,[],[f371,f316]) ).

fof(f371,plain,
    ( ~ ssList(cons(sk5,sk3))
    | spl0_5 ),
    inference(subsumption_resolution,[],[f370,f194]) ).

fof(f370,plain,
    ( ~ ssList(sk6)
    | ~ ssList(cons(sk5,sk3))
    | spl0_5 ),
    inference(resolution,[],[f331,f85]) ).

fof(f331,plain,
    ( ~ ssList(app(sk6,cons(sk5,sk3)))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f329,plain,
    ( spl0_5
  <=> ssList(app(sk6,cons(sk5,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f369,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f368]) ).

fof(f368,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f367,f193]) ).

fof(f367,plain,
    ( ~ ssItem(sk5)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f366,f198]) ).

fof(f198,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',co1_7) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',co1_1) ).

fof(f366,plain,
    ( ~ ssList(sk3)
    | ~ ssItem(sk5)
    | spl0_3 ),
    inference(resolution,[],[f317,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',clause86) ).

fof(f317,plain,
    ( ~ ssList(cons(sk5,sk3))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f341,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f337,f339,f329]) ).

fof(f337,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(app(sk6,cons(sk5,sk3)))
      | ~ memberP(sk7,X0) ),
    inference(subsumption_resolution,[],[f336,f209]) ).

fof(f336,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(app(sk6,cons(sk5,sk3)))
      | ~ memberP(sk7,X0) ),
    inference(subsumption_resolution,[],[f304,f195]) ).

fof(f304,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssItem(X0)
      | ~ ssList(app(sk6,cons(sk5,sk3)))
      | ~ ssList(sk7)
      | ~ memberP(sk7,X0) ),
    inference(superposition,[],[f141,f200]) ).

fof(f200,plain,
    sk3 = app(app(sk6,cons(sk5,sk3)),sk7),
    inference(definition_unfolding,[],[f196,f192,f190]) ).

fof(f196,axiom,
    sk1 = app(app(sk6,cons(sk5,nil)),sk7),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',co1_11) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',clause141) ).

fof(f325,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f324,f319,f315]) ).

fof(f324,plain,
    ( sk3 = app(sk6,app(cons(sk5,sk3),sk7))
    | ~ ssList(cons(sk5,sk3)) ),
    inference(subsumption_resolution,[],[f323,f195]) ).

fof(f323,plain,
    ( sk3 = app(sk6,app(cons(sk5,sk3),sk7))
    | ~ ssList(cons(sk5,sk3))
    | ~ ssList(sk7) ),
    inference(subsumption_resolution,[],[f301,f194]) ).

fof(f301,plain,
    ( sk3 = app(sk6,app(cons(sk5,sk3),sk7))
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,sk3))
    | ~ ssList(sk7) ),
    inference(superposition,[],[f149,f200]) ).

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/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',clause149) ).

fof(f224,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f221,f217]) ).

fof(f197,axiom,
    ( memberP(sk7,sk5)
    | memberP(sk6,sk5) ),
    file('/export/starexec/sandbox/tmp/tmp.kW9OycIsaP/Vampire---4.8_8377',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC182-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % 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
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 18:20:12 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35  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.kW9OycIsaP/Vampire---4.8_8377
% 0.57/0.74  % (8637)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)
% 0.57/0.74  % (8631)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)
% 0.57/0.74  % (8633)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (8632)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)
% 0.57/0.74  % (8634)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)
% 0.57/0.74  % (8635)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)
% 0.57/0.74  % (8636)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)
% 0.57/0.75  % (8638)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)
% 0.57/0.75  % (8638)Refutation not found, incomplete strategy% (8638)------------------------------
% 0.57/0.75  % (8638)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (8638)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8638)Memory used [KB]: 1176
% 0.57/0.75  % (8638)Time elapsed: 0.004 s
% 0.57/0.75  % (8638)Instructions burned: 4 (million)
% 0.57/0.75  % (8638)------------------------------
% 0.57/0.75  % (8638)------------------------------
% 0.57/0.75  % (8636)First to succeed.
% 0.57/0.75  % (8635)Refutation not found, incomplete strategy% (8635)------------------------------
% 0.57/0.75  % (8635)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (8635)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (8635)Memory used [KB]: 1347
% 0.57/0.75  % (8635)Time elapsed: 0.008 s
% 0.57/0.75  % (8635)Instructions burned: 14 (million)
% 0.57/0.75  % (8635)------------------------------
% 0.57/0.75  % (8635)------------------------------
% 0.57/0.75  % (8631)Also succeeded, but the first one will report.
% 0.57/0.75  % (8636)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (8636)------------------------------
% 0.57/0.75  % (8636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (8636)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (8636)Memory used [KB]: 1238
% 0.57/0.75  % (8636)Time elapsed: 0.009 s
% 0.57/0.75  % (8636)Instructions burned: 10 (million)
% 0.57/0.75  % (8636)------------------------------
% 0.57/0.75  % (8636)------------------------------
% 0.57/0.75  % (8627)Success in time 0.387 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------