TSTP Solution File: SWC239-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC239-1 : 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 : n020.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 04:00:48 EDT 2024

% Result   : Unsatisfiable 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   38 (  13 unt;   0 def)
%            Number of atoms       :   98 (  27 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  130 (  70   ~;  58   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f337,plain,
    $false,
    inference(avatar_sat_refutation,[],[f232,f248,f336]) ).

fof(f336,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f335]) ).

fof(f335,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f334,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',clause8) ).

fof(f334,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f333]) ).

fof(f333,plain,
    ( sk3 != sk3
    | ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f271,f265]) ).

fof(f265,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f206]) ).

fof(f206,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',co1_1) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',clause73) ).

fof(f271,plain,
    ( ! [X0] :
        ( sk3 != app(sk3,X0)
        | ~ ssList(X0) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f264,f268]) ).

fof(f268,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f206]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',clause74) ).

fof(f264,plain,
    ( ! [X0] :
        ( sk3 != app(app(nil,sk3),X0)
        | ~ ssList(X0) )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f263,f225]) ).

fof(f225,plain,
    ( ssItem(sk6)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_1
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f263,plain,
    ( ! [X0] :
        ( sk3 != app(app(nil,sk3),X0)
        | ~ ssList(X0)
        | ~ ssItem(sk6) )
    | ~ spl0_3 ),
    inference(superposition,[],[f262,f236]) ).

fof(f236,plain,
    ( sk3 = cons(sk6,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_3
  <=> sk3 = cons(sk6,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f262,plain,
    ! [X0,X1] :
      ( sk3 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(subsumption_resolution,[],[f261,f8]) ).

fof(f261,plain,
    ! [X0,X1] :
      ( sk3 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f260]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( sk3 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | sk3 != app(app(nil,cons(X0,nil)),X1)
      | ~ ssList(X1)
      | ~ ssList(nil)
      | ~ ssItem(X0) ),
    inference(resolution,[],[f258,f209]) ).

fof(f209,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/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',co1_8) ).

fof(f258,plain,
    ! [X0,X1] :
      ( ~ ssItem(sk5(X0,nil,X1))
      | sk3 != app(app(nil,cons(X1,nil)),X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(subsumption_resolution,[],[f256,f8]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ~ ssItem(sk5(X0,nil,X1))
      | sk3 != app(app(nil,cons(X1,nil)),X0)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssItem(X1) ),
    inference(resolution,[],[f71,f210]) ).

fof(f210,plain,
    ! [X8,X6,X7] :
      ( memberP(X7,sk5(X8,X7,X6))
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f194,f191]) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( memberP(X7,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',co1_9) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',clause71) ).

fof(f248,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f247,f234]) ).

fof(f247,plain,
    sk3 = cons(sk6,nil),
    inference(subsumption_resolution,[],[f203,f208]) ).

fof(f208,plain,
    nil != sk3,
    inference(definition_unfolding,[],[f192,f191]) ).

fof(f192,axiom,
    nil != sk1,
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',co1_7) ).

fof(f203,axiom,
    ( nil = sk3
    | sk3 = cons(sk6,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',co1_18) ).

fof(f232,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f231,f223]) ).

fof(f231,plain,
    ssItem(sk6),
    inference(subsumption_resolution,[],[f199,f208]) ).

fof(f199,axiom,
    ( nil = sk3
    | ssItem(sk6) ),
    file('/export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC239-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n020.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   : Tue Apr 30 18:14:47 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.31aLmERg6l/Vampire---4.8_6559
% 0.55/0.75  % (6819)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)
% 0.55/0.75  % (6812)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)
% 0.55/0.75  % (6815)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (6813)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)
% 0.55/0.75  % (6816)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)
% 0.55/0.75  % (6817)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)
% 0.55/0.75  % (6818)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)
% 0.55/0.75  % (6815)First to succeed.
% 0.55/0.76  % (6815)Refutation found. Thanks to Tanya!
% 0.55/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76  % (6815)------------------------------
% 0.55/0.76  % (6815)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (6815)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (6815)Memory used [KB]: 1276
% 0.55/0.76  % (6815)Time elapsed: 0.009 s
% 0.55/0.76  % (6815)Instructions burned: 11 (million)
% 0.55/0.76  % (6815)------------------------------
% 0.55/0.76  % (6815)------------------------------
% 0.55/0.76  % (6808)Success in time 0.371 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------