TSTP Solution File: SWC020-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC020-1 : 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 : n004.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 03:59:14 EDT 2024

% Result   : Unsatisfiable 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   37 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :  157 (  11 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   80 (  37   ~;  38   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   78 (  78 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;  10 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    7 (   6   !;   0   ?;   7   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

tff(f270,plain,
    $false,
    inference(avatar_sat_refutation,[],[f236,f241,f246,f247,f248,f269]) ).

tff(f269,plain,
    ( ~ spl1_3
    | ~ spl1_4 ),
    inference(avatar_contradiction_clause,[],[f268]) ).

tff(f268,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f267,f188]) ).

tff(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_3) ).

tff(f267,plain,
    ( ~ ssList(sk3)
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(resolution,[],[f61,f266]) ).

tff(f266,plain,
    ( ~ frontsegP(sk3,sk3)
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f265,f188]) ).

tff(f265,plain,
    ( ~ frontsegP(sk3,sk3)
    | ~ ssList(sk3)
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(subsumption_resolution,[],[f264,f245]) ).

tff(f245,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f243]) ).

tff(f243,plain,
    ( spl1_4
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

tff(f264,plain,
    ( ~ frontsegP(sk4,sk3)
    | ~ frontsegP(sk3,sk3)
    | ~ ssList(sk3)
    | ~ spl1_3 ),
    inference(resolution,[],[f200,f240]) ).

tff(f240,plain,
    ( neq(sk3,nil)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f238]) ).

tff(f238,plain,
    ( spl1_3
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

tff(f200,plain,
    ! [X6: $i] :
      ( ~ neq(X6,nil)
      | ~ frontsegP(sk4,X6)
      | ~ frontsegP(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

tff(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_5) ).

tff(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_6) ).

tff(f192,axiom,
    ! [X6: $i] :
      ( ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_7) ).

tff(f61,axiom,
    ! [X0: $i] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',clause61) ).

tff(f248,plain,
    ( spl1_2
    | spl1_4 ),
    inference(avatar_split_clause,[],[f212,f243,f233]) ).

tff(f233,plain,
    ( spl1_2
  <=> sQ0_eqProxy($i,nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f212,plain,
    ( frontsegP(sk4,sk3)
    | sQ0_eqProxy($i,nil,sk3) ),
    inference(equality_proxy_replacement,[],[f197,f207]) ).

tff(f207,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f197,axiom,
    ( frontsegP(sk4,sk3)
    | ( nil = sk3 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_12) ).

tff(f247,plain,
    ( spl1_2
    | spl1_3 ),
    inference(avatar_split_clause,[],[f211,f238,f233]) ).

tff(f211,plain,
    ( neq(sk3,nil)
    | sQ0_eqProxy($i,nil,sk3) ),
    inference(equality_proxy_replacement,[],[f196,f207]) ).

tff(f196,axiom,
    ( neq(sk3,nil)
    | ( nil = sk3 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_11) ).

tff(f246,plain,
    ( spl1_1
    | spl1_4 ),
    inference(avatar_split_clause,[],[f210,f243,f229]) ).

tff(f229,plain,
    ( spl1_1
  <=> sQ0_eqProxy($i,nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f210,plain,
    ( frontsegP(sk4,sk3)
    | sQ0_eqProxy($i,nil,sk4) ),
    inference(equality_proxy_replacement,[],[f195,f207]) ).

tff(f195,axiom,
    ( frontsegP(sk4,sk3)
    | ( nil = sk4 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_10) ).

tff(f241,plain,
    ( spl1_1
    | spl1_3 ),
    inference(avatar_split_clause,[],[f209,f238,f229]) ).

tff(f209,plain,
    ( neq(sk3,nil)
    | sQ0_eqProxy($i,nil,sk4) ),
    inference(equality_proxy_replacement,[],[f194,f207]) ).

tff(f194,axiom,
    ( neq(sk3,nil)
    | ( nil = sk4 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_9) ).

tff(f236,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f208,f233,f229]) ).

tff(f208,plain,
    ( ~ sQ0_eqProxy($i,nil,sk3)
    | ~ sQ0_eqProxy($i,nil,sk4) ),
    inference(equality_proxy_replacement,[],[f201,f207]) ).

tff(f201,plain,
    ( ( nil != sk3 )
    | ( nil != sk4 ) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

tff(f193,axiom,
    ( ( nil != sk1 )
    | ( nil != sk2 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.cKjYgaNKID/Vampire---4.8_14829',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC020-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.12  % 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
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 18:11:18 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.33  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.cKjYgaNKID/Vampire---4.8_14829
% 0.60/0.82  % (14947)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)
% 0.60/0.82  % (14943)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)
% 0.60/0.82  % (14946)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)
% 0.60/0.82  % (14945)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82  % (14944)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)
% 0.60/0.82  % (14948)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)
% 0.60/0.82  % (14949)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)
% 0.60/0.83  % (14950)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)
% 0.60/0.83  % (14943)First to succeed.
% 0.60/0.83  % (14945)Also succeeded, but the first one will report.
% 0.60/0.83  % (14950)Also succeeded, but the first one will report.
% 0.60/0.83  % (14943)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83  % (14943)------------------------------
% 0.60/0.83  % (14943)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (14943)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (14943)Memory used [KB]: 1175
% 0.60/0.83  % (14943)Time elapsed: 0.005 s
% 0.60/0.83  % (14943)Instructions burned: 4 (million)
% 0.60/0.83  % (14943)------------------------------
% 0.60/0.83  % (14943)------------------------------
% 0.60/0.83  % (14939)Success in time 0.493 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------