TSTP Solution File: SWC241-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC241-1 : 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 : n015.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 09:49:39 EDT 2024

% Result   : Unsatisfiable 0.54s 0.73s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   43 (  13 unt;   0 def)
%            Number of atoms       :  112 (  15 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  139 (  70   ~;  68   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f333,plain,
    $false,
    inference(subsumption_resolution,[],[f332,f327]) ).

fof(f327,plain,
    ~ leq(sk6,sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f326,f250]) ).

fof(f250,plain,
    ssItem(sk6),
    inference(subsumption_resolution,[],[f223,f217]) ).

fof(f217,plain,
    ~ sQ0_eqProxy(nil,sk3),
    inference(equality_proxy_replacement,[],[f205,f216]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f205,plain,
    nil != sk3,
    inference(definition_unfolding,[],[f192,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_6) ).

fof(f192,axiom,
    nil != sk1,
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_7) ).

fof(f223,plain,
    ( ssItem(sk6)
    | sQ0_eqProxy(nil,sk3) ),
    inference(equality_proxy_replacement,[],[f198,f216]) ).

fof(f198,axiom,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_13) ).

fof(f326,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f325,f251]) ).

fof(f251,plain,
    ssList(sk7),
    inference(subsumption_resolution,[],[f224,f217]) ).

fof(f224,plain,
    ( ssList(sk7)
    | sQ0_eqProxy(nil,sk3) ),
    inference(equality_proxy_replacement,[],[f199,f216]) ).

fof(f199,axiom,
    ( ssList(sk7)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_14) ).

fof(f325,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f320,f252]) ).

fof(f252,plain,
    ssList(sk8),
    inference(subsumption_resolution,[],[f225,f217]) ).

fof(f225,plain,
    ( ssList(sk8)
    | sQ0_eqProxy(nil,sk3) ),
    inference(equality_proxy_replacement,[],[f200,f216]) ).

fof(f200,axiom,
    ( ssList(sk8)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_15) ).

fof(f320,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(resolution,[],[f222,f253]) ).

fof(f253,plain,
    sQ0_eqProxy(sk3,app(app(sk7,cons(sk6,nil)),sk8)),
    inference(subsumption_resolution,[],[f226,f217]) ).

fof(f226,plain,
    ( sQ0_eqProxy(sk3,app(app(sk7,cons(sk6,nil)),sk8))
    | sQ0_eqProxy(nil,sk3) ),
    inference(equality_proxy_replacement,[],[f201,f216,f216]) ).

fof(f201,axiom,
    ( sk3 = app(app(sk7,cons(sk6,nil)),sk8)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_16) ).

fof(f222,plain,
    ! [X8,X6,X7] :
      ( ~ sQ0_eqProxy(sk3,app(app(X7,cons(X6,nil)),X8))
      | ~ leq(X6,sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(equality_proxy_replacement,[],[f210,f216]) ).

fof(f210,plain,
    ! [X8,X6,X7] :
      ( ~ leq(X6,sk5(X8,X7,X6))
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f197,f191]) ).

fof(f197,axiom,
    ! [X8,X6,X7] :
      ( ~ leq(X6,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_12) ).

fof(f332,plain,
    leq(sk6,sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f331,f294]) ).

fof(f294,plain,
    ssItem(sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f293,f250]) ).

fof(f293,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f292,f251]) ).

fof(f292,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f287,f252]) ).

fof(f287,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(resolution,[],[f218,f253]) ).

fof(f218,plain,
    ! [X8,X6,X7] :
      ( ~ sQ0_eqProxy(sk3,app(app(X7,cons(X6,nil)),X8))
      | ssItem(sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(equality_proxy_replacement,[],[f206,f216]) ).

fof(f206,plain,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_8) ).

fof(f331,plain,
    ( ~ ssItem(sk5(sk8,sk7,sk6))
    | leq(sk6,sk5(sk8,sk7,sk6)) ),
    inference(subsumption_resolution,[],[f328,f250]) ).

fof(f328,plain,
    ( ~ ssItem(sk6)
    | ~ ssItem(sk5(sk8,sk7,sk6))
    | leq(sk6,sk5(sk8,sk7,sk6)) ),
    inference(resolution,[],[f319,f103]) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | leq(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',clause103) ).

fof(f319,plain,
    lt(sk6,sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f318,f250]) ).

fof(f318,plain,
    ( lt(sk6,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f317,f251]) ).

fof(f317,plain,
    ( lt(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f312,f252]) ).

fof(f312,plain,
    ( lt(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(resolution,[],[f221,f253]) ).

fof(f221,plain,
    ! [X8,X6,X7] :
      ( ~ sQ0_eqProxy(sk3,app(app(X7,cons(X6,nil)),X8))
      | lt(X6,sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(equality_proxy_replacement,[],[f209,f216]) ).

fof(f209,plain,
    ! [X8,X6,X7] :
      ( lt(X6,sk5(X8,X7,X6))
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f196,f191]) ).

fof(f196,axiom,
    ! [X8,X6,X7] :
      ( lt(X6,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.Eh7edFLIEO/Vampire---4.8_25050',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWC241-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % 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
% 0.14/0.33  % Computer : n015.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Fri May  3 20:32:53 EDT 2024
% 0.14/0.33  % CPUTime    : 
% 0.14/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.33  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.Eh7edFLIEO/Vampire---4.8_25050
% 0.54/0.73  % (25252)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)
% 0.54/0.73  % (25254)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)
% 0.54/0.73  % (25247)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)
% 0.54/0.73  % (25248)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)
% 0.54/0.73  % (25249)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.73  % (25250)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)
% 0.54/0.73  % (25253)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)
% 0.54/0.73  % (25251)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)
% 0.54/0.73  % (25254)First to succeed.
% 0.54/0.73  % (25254)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25216"
% 0.54/0.73  % (25247)Also succeeded, but the first one will report.
% 0.54/0.73  % (25254)Refutation found. Thanks to Tanya!
% 0.54/0.73  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.73  % (25254)------------------------------
% 0.54/0.73  % (25254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.73  % (25254)Termination reason: Refutation
% 0.54/0.73  
% 0.54/0.73  % (25254)Memory used [KB]: 1201
% 0.54/0.73  % (25254)Time elapsed: 0.003 s
% 0.54/0.73  % (25254)Instructions burned: 7 (million)
% 0.54/0.73  % (25216)Success in time 0.381 s
% 0.54/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------