TSTP Solution File: SWC323-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC323-1 : 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 : n025.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 04:38:09 EDT 2024

% Result   : Unsatisfiable 0.72s 0.89s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   58 (   6 unt;   0 def)
%            Number of atoms       :  150 (  39 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  185 (  93   ~;  84   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f353,plain,
    $false,
    inference(avatar_sat_refutation,[],[f216,f225,f230,f235,f240,f260,f299,f351,f352]) ).

fof(f352,plain,
    ( ~ spl0_10
    | ~ spl0_7
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f344,f232,f227,f237,f318]) ).

fof(f318,plain,
    ( spl0_10
  <=> ssList(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f237,plain,
    ( spl0_7
  <=> sk3 = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f227,plain,
    ( spl0_5
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f232,plain,
    ( spl0_6
  <=> sk4 = app(cons(sk5,nil),sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f344,plain,
    ( sk3 != app(sk6,cons(sk5,nil))
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f315,f229]) ).

fof(f229,plain,
    ( ssList(sk6)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f315,plain,
    ( sk3 != app(sk6,cons(sk5,nil))
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f314]) ).

fof(f314,plain,
    ( sk4 != sk4
    | sk3 != app(sk6,cons(sk5,nil))
    | ~ ssList(sk6)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_6 ),
    inference(superposition,[],[f200,f234]) ).

fof(f234,plain,
    ( sk4 = app(cons(sk5,nil),sk6)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f200,plain,
    ! [X6,X7] :
      ( sk4 != app(X6,X7)
      | sk3 != app(X7,X6)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

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

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

fof(f192,axiom,
    ! [X6,X7] :
      ( sk1 != app(X7,X6)
      | sk2 != app(X6,X7)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f351,plain,
    ( ~ spl0_3
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f350]) ).

fof(f350,plain,
    ( $false
    | ~ spl0_3
    | spl0_10 ),
    inference(subsumption_resolution,[],[f349,f220]) ).

fof(f220,plain,
    ( ssItem(sk5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl0_3
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f349,plain,
    ( ~ ssItem(sk5)
    | spl0_10 ),
    inference(subsumption_resolution,[],[f348,f8]) ).

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

fof(f348,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_10 ),
    inference(resolution,[],[f320,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f320,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f299,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f292,f8]) ).

fof(f292,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f291]) ).

fof(f291,plain,
    ( nil != nil
    | ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f290,plain,
    ( nil != nil
    | nil != nil
    | ~ ssList(nil)
    | ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f280,f73]) ).

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

fof(f280,plain,
    ( ! [X0] :
        ( nil != app(nil,X0)
        | nil != X0
        | ~ ssList(X0) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f279,f211]) ).

fof(f211,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f209,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f279,plain,
    ( ! [X0] :
        ( nil != X0
        | app(nil,X0) != sk3
        | ~ ssList(X0) )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f278,f214]) ).

fof(f214,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f278,plain,
    ! [X0] :
      ( sk4 != X0
      | app(nil,X0) != sk3
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f276,f8]) ).

fof(f276,plain,
    ! [X0] :
      ( sk4 != X0
      | app(nil,X0) != sk3
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f269,plain,
    ! [X0] :
      ( sk4 != X0
      | app(nil,X0) != sk3
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f200,f73]) ).

fof(f260,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f259,f222,f213]) ).

fof(f222,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f259,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(subsumption_resolution,[],[f258,f8]) ).

fof(f258,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f241,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f241,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl0_4 ),
    inference(resolution,[],[f224,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f224,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f240,plain,
    ( spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f197,f222,f237]) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f235,plain,
    ( spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f196,f222,f232]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f230,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f195,f222,f227]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f225,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f194,f222,f218]) ).

fof(f194,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f216,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f193,f213,f209]) ).

fof(f193,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC323-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.14  % 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
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 03:32:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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
% 0.72/0.88  % (30045)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.72/0.88  % (30043)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)
% 0.72/0.88  % (30046)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)
% 0.72/0.88  % (30047)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)
% 0.72/0.88  % (30048)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)
% 0.72/0.88  % (30049)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)
% 0.72/0.88  % (30050)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)
% 0.72/0.88  % (30044)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)
% 0.72/0.89  % (30050)Refutation not found, incomplete strategy% (30050)------------------------------
% 0.72/0.89  % (30050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89  % (30050)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.89  
% 0.72/0.89  % (30050)Memory used [KB]: 1195
% 0.72/0.89  % (30050)Time elapsed: 0.004 s
% 0.72/0.89  % (30050)Instructions burned: 4 (million)
% 0.72/0.89  % (30050)------------------------------
% 0.72/0.89  % (30050)------------------------------
% 0.72/0.89  % (30048)First to succeed.
% 0.72/0.89  % (30048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30042"
% 0.72/0.89  % (30048)Refutation found. Thanks to Tanya!
% 0.72/0.89  % SZS status Unsatisfiable for theBenchmark
% 0.72/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.89  % (30048)------------------------------
% 0.72/0.89  % (30048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.89  % (30048)Termination reason: Refutation
% 0.72/0.89  
% 0.72/0.89  % (30048)Memory used [KB]: 1229
% 0.72/0.89  % (30048)Time elapsed: 0.007 s
% 0.72/0.89  % (30048)Instructions burned: 8 (million)
% 0.72/0.89  % (30042)Success in time 0.523 s
% 0.72/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------