TSTP Solution File: SWC097-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC097-1 : 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 : n011.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 03:59:45 EDT 2024

% Result   : Unsatisfiable 0.62s 0.84s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (   5 unt;   1 typ;   0 def)
%            Number of atoms       :  139 (   6 equ)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :   62 (  31   ~;  26   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   81 (  81 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   17 (  15 usr;  11 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    9 (   8   !;   0   ?;   8   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_20,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f274,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f258,f259,f270,f273]) ).

tff(f273,plain,
    ( ~ spl1_1
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(avatar_contradiction_clause,[],[f272]) ).

tff(f272,plain,
    ( $false
    | ~ spl1_1
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f271,f250]) ).

tff(f250,plain,
    ( ssItem(sk5)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f248]) ).

tff(f248,plain,
    ( spl1_3
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

tff(f271,plain,
    ( ~ ssItem(sk5)
    | ~ spl1_1
    | ~ spl1_4 ),
    inference(resolution,[],[f241,f255]) ).

tff(f255,plain,
    ( sQ0_eqProxy($i,sk4,app(sk3,cons(sk5,nil)))
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f253]) ).

tff(f253,plain,
    ( spl1_4
  <=> sQ0_eqProxy($i,sk4,app(sk3,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

tff(f241,plain,
    ( ! [X6: $i] :
        ( ~ sQ0_eqProxy($i,sk4,app(sk3,cons(X6,nil)))
        | ~ ssItem(X6) )
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f240]) ).

tff(f240,plain,
    ( spl1_1
  <=> ! [X6] :
        ( ~ sQ0_eqProxy($i,sk4,app(sk3,cons(X6,nil)))
        | ~ ssItem(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f270,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f238,f243]) ).

tff(f243,plain,
    ( spl1_2
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f238,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f202]) ).

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

tff(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.Elqlj4BWMM/Vampire---4.8_12884',co1_5) ).

tff(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.Elqlj4BWMM/Vampire---4.8_12884',co1_7) ).

tff(f259,plain,
    ( spl1_4
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f216,f243,f253]) ).

tff(f216,plain,
    ( ~ neq(sk4,nil)
    | sQ0_eqProxy($i,sk4,app(sk3,cons(sk5,nil))) ),
    inference(equality_proxy_replacement,[],[f199,f212]) ).

tff(f212,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f199,axiom,
    ( ~ neq(sk4,nil)
    | ( sk4 = app(sk3,cons(sk5,nil)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Elqlj4BWMM/Vampire---4.8_12884',co1_14) ).

tff(f258,plain,
    ( spl1_3
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f198,f243,f248]) ).

tff(f198,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.Elqlj4BWMM/Vampire---4.8_12884',co1_13) ).

tff(f257,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f215,f243,f240]) ).

tff(f215,plain,
    ! [X6: $i] :
      ( ~ neq(sk4,nil)
      | ~ sQ0_eqProxy($i,sk4,app(sk3,cons(X6,nil)))
      | ~ ssItem(X6) ),
    inference(equality_proxy_replacement,[],[f207,f212]) ).

tff(f207,plain,
    ! [X6: $i] :
      ( ~ neq(sk4,nil)
      | ( sk4 != app(sk3,cons(X6,nil)) )
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

tff(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.Elqlj4BWMM/Vampire---4.8_12884',co1_6) ).

tff(f197,axiom,
    ! [X6: $i] :
      ( ~ neq(sk4,nil)
      | ( sk2 != app(sk1,cons(X6,nil)) )
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.Elqlj4BWMM/Vampire---4.8_12884',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SWC097-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15  % 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
% 0.15/0.37  % Computer : n011.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Apr 30 18:22:47 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  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.Elqlj4BWMM/Vampire---4.8_12884
% 0.62/0.83  % (13070)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 (2995ds/51Mi)
% 0.62/0.83  % (13069)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 (2995ds/34Mi)
% 0.62/0.83  % (13073)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 (2995ds/34Mi)
% 0.62/0.83  % (13071)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.83  % (13072)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.83  % (13074)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.83  % (13075)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 (2995ds/83Mi)
% 0.62/0.83  % (13076)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 (2995ds/56Mi)
% 0.62/0.84  % (13069)First to succeed.
% 0.62/0.84  % (13071)Also succeeded, but the first one will report.
% 0.62/0.84  % (13076)Also succeeded, but the first one will report.
% 0.62/0.84  % (13069)Refutation found. Thanks to Tanya!
% 0.62/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.84  % (13069)------------------------------
% 0.62/0.84  % (13069)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84  % (13069)Termination reason: Refutation
% 0.62/0.84  
% 0.62/0.84  % (13069)Memory used [KB]: 1182
% 0.62/0.84  % (13069)Time elapsed: 0.004 s
% 0.62/0.84  % (13069)Instructions burned: 4 (million)
% 0.62/0.84  % (13069)------------------------------
% 0.62/0.84  % (13069)------------------------------
% 0.62/0.84  % (13030)Success in time 0.462 s
% 0.62/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------