TSTP Solution File: SWC012-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC012-1 : 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 : n024.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 04:35:33 EDT 2024

% Result   : Unsatisfiable 0.70s 0.88s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   52 (  13 unt;   0 def)
%            Number of atoms       :  127 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  145 (  70   ~;  66   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f305,plain,
    $false,
    inference(avatar_sat_refutation,[],[f253,f258,f263,f265,f274,f276,f292,f299,f301,f304]) ).

fof(f304,plain,
    ( ~ spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f303,f289,f268]) ).

fof(f268,plain,
    ( spl0_7
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f289,plain,
    ( spl0_11
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f303,plain,
    ( ~ ssList(sk3)
    | spl0_11 ),
    inference(trivial_inequality_removal,[],[f302]) ).

fof(f302,plain,
    ( sk3 != sk3
    | ~ ssList(sk3)
    | spl0_11 ),
    inference(superposition,[],[f291,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f291,plain,
    ( sk3 != app(sk3,nil)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f301,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f300]) ).

fof(f300,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f287,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f287,plain,
    ( ~ ssList(nil)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl0_10
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f299,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f283,f201]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f283,plain,
    ( ~ ssList(sk4)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl0_9
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f292,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f279,f272,f289,f285,f281]) ).

fof(f272,plain,
    ( spl0_8
  <=> ! [X0] :
        ( sk4 != app(sk4,X0)
        | sk3 != app(sk3,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f279,plain,
    ( sk3 != app(sk3,nil)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f277]) ).

fof(f277,plain,
    ( sk4 != sk4
    | sk3 != app(sk3,nil)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_8 ),
    inference(superposition,[],[f273,f73]) ).

fof(f273,plain,
    ( ! [X0] :
        ( sk4 != app(sk4,X0)
        | sk3 != app(sk3,X0)
        | ~ ssList(X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f276,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f270,f200]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f270,plain,
    ( ~ ssList(sk3)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f274,plain,
    ( ~ spl0_7
    | ~ spl0_5
    | spl0_8
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f266,f260,f247,f272,f255,f268]) ).

fof(f255,plain,
    ( spl0_5
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f247,plain,
    ( spl0_3
  <=> ! [X6,X8,X7] :
        ( sk3 != app(X7,X8)
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | ~ ssList(X8)
        | sk4 != app(app(X7,cons(X6,nil)),X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f260,plain,
    ( spl0_6
  <=> sk4 = app(sk3,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f266,plain,
    ( ! [X0] :
        ( sk4 != app(sk4,X0)
        | ~ ssItem(sk5)
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | sk3 != app(sk3,X0) )
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f248,f262]) ).

fof(f262,plain,
    ( sk4 = app(sk3,cons(sk5,nil))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f248,plain,
    ( ! [X8,X6,X7] :
        ( sk4 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | ~ ssList(X8)
        | sk3 != app(X7,X8) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f265,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f264,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f252,f232]) ).

fof(f232,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f202]) ).

fof(f202,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f252,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f263,plain,
    ( spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f199,f250,f260]) ).

fof(f199,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(sk3,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f258,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f198,f250,f255]) ).

fof(f198,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f253,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f207,f250,f247]) ).

fof(f207,plain,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | sk3 != app(X7,X8)
      | sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f197,f191,f190]) ).

fof(f197,axiom,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | sk1 != app(X7,X8)
      | sk2 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC012-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.13  % 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
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 03:12:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.34  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
% 0.70/0.87  % (20251)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 (2994ds/34Mi)
% 0.70/0.87  % (20250)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.70/0.87  % (20252)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.70/0.87  % (20248)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 (2994ds/51Mi)
% 0.70/0.87  % (20247)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 (2994ds/34Mi)
% 0.70/0.87  % (20249)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.70/0.87  % (20253)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 (2994ds/83Mi)
% 0.70/0.87  % (20254)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 (2994ds/56Mi)
% 0.70/0.87  % (20254)Refutation not found, incomplete strategy% (20254)------------------------------
% 0.70/0.87  % (20254)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87  % (20254)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87  
% 0.70/0.87  % (20254)Memory used [KB]: 1185
% 0.70/0.87  % (20254)Time elapsed: 0.004 s
% 0.70/0.87  % (20254)Instructions burned: 4 (million)
% 0.70/0.87  % (20254)------------------------------
% 0.70/0.87  % (20254)------------------------------
% 0.70/0.87  % (20251)Refutation not found, incomplete strategy% (20251)------------------------------
% 0.70/0.87  % (20251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87  % (20251)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87  % (20248)First to succeed.
% 0.70/0.87  
% 0.70/0.87  % (20251)Memory used [KB]: 1262
% 0.70/0.87  % (20251)Time elapsed: 0.009 s
% 0.70/0.87  % (20251)Instructions burned: 12 (million)
% 0.70/0.87  % (20255)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.70/0.87  % (20251)------------------------------
% 0.70/0.87  % (20251)------------------------------
% 0.70/0.87  % (20248)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20246"
% 0.70/0.87  % (20247)Refutation not found, incomplete strategy% (20247)------------------------------
% 0.70/0.87  % (20247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87  % (20247)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87  
% 0.70/0.87  % (20247)Memory used [KB]: 1247
% 0.70/0.87  % (20247)Time elapsed: 0.009 s
% 0.70/0.87  % (20247)Instructions burned: 13 (million)
% 0.70/0.87  % (20247)------------------------------
% 0.70/0.87  % (20247)------------------------------
% 0.70/0.88  % (20248)Refutation found. Thanks to Tanya!
% 0.70/0.88  % SZS status Unsatisfiable for theBenchmark
% 0.70/0.88  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.88  % (20248)------------------------------
% 0.70/0.88  % (20248)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88  % (20248)Termination reason: Refutation
% 0.70/0.88  
% 0.70/0.88  % (20248)Memory used [KB]: 1275
% 0.70/0.88  % (20248)Time elapsed: 0.009 s
% 0.70/0.88  % (20248)Instructions burned: 12 (million)
% 0.70/0.88  % (20246)Success in time 0.526 s
% 0.70/0.88  % Vampire---4.8 exiting
%------------------------------------------------------------------------------