TSTP Solution File: SWC008-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC008-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.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 04:35:32 EDT 2024

% Result   : Unsatisfiable 0.72s 0.91s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   44 (  14 unt;   0 def)
%            Number of atoms       :  114 (  25 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  141 (  71   ~;  64   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f635,plain,
    $false,
    inference(avatar_sat_refutation,[],[f261,f263,f265,f307,f570,f629,f634]) ).

fof(f634,plain,
    spl0_37,
    inference(avatar_contradiction_clause,[],[f633]) ).

fof(f633,plain,
    ( $false
    | spl0_37 ),
    inference(resolution,[],[f619,f51]) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

fof(f619,plain,
    ( ~ ssList(skaf45(sk4,sk3))
    | spl0_37 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f617,plain,
    ( spl0_37
  <=> ssList(skaf45(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f629,plain,
    ( ~ spl0_37
    | ~ spl0_12
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f599,f567,f259,f299,f617]) ).

fof(f299,plain,
    ( spl0_12
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f259,plain,
    ( spl0_7
  <=> ! [X0,X1] :
        ( app(X0,X1) != sk4
        | ~ ssList(X0)
        | ~ ssList(X1)
        | app(X0,nil) != sk3 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f567,plain,
    ( spl0_30
  <=> sk4 = app(sk3,skaf45(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f599,plain,
    ( ~ ssList(sk3)
    | ~ ssList(skaf45(sk4,sk3))
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(trivial_inequality_removal,[],[f596]) ).

fof(f596,plain,
    ( sk4 != sk4
    | ~ ssList(sk3)
    | ~ ssList(skaf45(sk4,sk3))
    | sk3 != sk3
    | ~ spl0_7
    | ~ spl0_30 ),
    inference(superposition,[],[f267,f569]) ).

fof(f569,plain,
    ( sk4 = app(sk3,skaf45(sk4,sk3))
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f267,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) != sk4
        | ~ ssList(X0)
        | ~ ssList(X1)
        | sk3 != X0 )
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f266]) ).

fof(f266,plain,
    ( ! [X0,X1] :
        ( sk3 != X0
        | ~ ssList(X0)
        | ~ ssList(X1)
        | app(X0,X1) != sk4
        | ~ ssList(X0) )
    | ~ spl0_7 ),
    inference(superposition,[],[f260,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f260,plain,
    ( ! [X0,X1] :
        ( app(X0,nil) != sk3
        | ~ ssList(X0)
        | ~ ssList(X1)
        | app(X0,X1) != sk4 )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f570,plain,
    ( spl0_30
    | ~ spl0_12
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f559,f255,f299,f567]) ).

fof(f255,plain,
    ( spl0_6
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f559,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | sk4 = app(sk3,skaf45(sk4,sk3)) ),
    inference(resolution,[],[f132,f192]) ).

fof(f192,axiom,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

fof(f307,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f301,f196]) ).

fof(f196,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f301,plain,
    ( ~ ssList(sk3)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f265,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f264,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f257,f197]) ).

fof(f197,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f257,plain,
    ( ~ ssList(sk4)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f263,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f244,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f244,plain,
    ( ~ ssList(nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_3
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f261,plain,
    ( ~ spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f253,f259,f242,f255]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( app(X0,X1) != sk4
      | app(X0,nil) != sk3
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(sk4) ),
    inference(inner_rewriting,[],[f237]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( app(X0,X1) != sk4
      | app(X0,nil) != sk3
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(superposition,[],[f198,f73]) ).

fof(f198,plain,
    ! [X8,X6,X7] :
      ( sk4 != app(app(X6,X7),X8)
      | sk3 != app(X6,X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( sk1 != app(X6,X8)
      | sk2 != app(app(X6,X7),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC008-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.15  % 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
% 0.14/0.39  % Computer : n018.cluster.edu
% 0.14/0.39  % Model    : x86_64 x86_64
% 0.14/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39  % Memory   : 8042.1875MB
% 0.14/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39  % CPULimit   : 300
% 0.14/0.39  % WCLimit    : 300
% 0.14/0.39  % DateTime   : Sun May 19 03:45:38 EDT 2024
% 0.14/0.39  % CPUTime    : 
% 0.14/0.39  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.39  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/benchmark/theBenchmark.p
% 0.72/0.90  % (16247)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.72/0.90  % (16250)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.72/0.90  % (16249)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 (2995ds/34Mi)
% 0.72/0.90  % (16248)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.72/0.90  % (16245)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 (2995ds/34Mi)
% 0.72/0.90  % (16246)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 (2995ds/51Mi)
% 0.72/0.90  % (16251)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 (2995ds/83Mi)
% 0.72/0.90  % (16252)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 (2995ds/56Mi)
% 0.72/0.91  % (16246)First to succeed.
% 0.72/0.91  % (16246)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16244"
% 0.72/0.91  % (16246)Refutation found. Thanks to Tanya!
% 0.72/0.91  % SZS status Unsatisfiable for theBenchmark
% 0.72/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 0.72/0.91  % (16246)------------------------------
% 0.72/0.91  % (16246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.91  % (16246)Termination reason: Refutation
% 0.72/0.91  
% 0.72/0.91  % (16246)Memory used [KB]: 1343
% 0.72/0.91  % (16246)Time elapsed: 0.015 s
% 0.72/0.91  % (16246)Instructions burned: 23 (million)
% 0.72/0.91  % (16244)Success in time 0.506 s
% 0.72/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------