TSTP Solution File: SWC051-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC051-1 : 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 : n012.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 : Sun May  5 09:48:13 EDT 2024

% Result   : Unsatisfiable 0.51s 0.73s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :   98 (   2 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :   62 (  33   ~;  26   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   44 (  44 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    4 (   3   !;   0   ?;   4   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

tff(f279,plain,
    $false,
    inference(avatar_sat_refutation,[],[f240,f245,f260,f278]) ).

tff(f278,plain,
    ( ~ spl1_4
    | ~ spl1_5 ),
    inference(avatar_contradiction_clause,[],[f277]) ).

tff(f277,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(subsumption_resolution,[],[f276,f188]) ).

tff(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/tmp/tmp.dVXDU9lJCt/Vampire---4.8_11595',co1_3) ).

tff(f276,plain,
    ( ~ ssList(sk3)
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(resolution,[],[f59,f275]) ).

tff(f275,plain,
    ( ~ rearsegP(sk3,sk3)
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(subsumption_resolution,[],[f274,f188]) ).

tff(f274,plain,
    ( ~ rearsegP(sk3,sk3)
    | ~ ssList(sk3)
    | ~ spl1_4
    | ~ spl1_5 ),
    inference(subsumption_resolution,[],[f263,f244]) ).

tff(f244,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl1_5 ),
    inference(avatar_component_clause,[],[f242]) ).

tff(f242,plain,
    ( spl1_5
  <=> rearsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).

tff(f263,plain,
    ( ~ rearsegP(sk4,sk3)
    | ~ rearsegP(sk3,sk3)
    | ~ ssList(sk3)
    | ~ spl1_4 ),
    inference(resolution,[],[f200,f239]) ).

tff(f239,plain,
    ( neq(sk3,nil)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f237]) ).

tff(f237,plain,
    ( spl1_4
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

tff(f200,plain,
    ! [X6: $i] :
      ( ~ neq(X6,nil)
      | ~ rearsegP(sk4,X6)
      | ~ rearsegP(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

tff(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.dVXDU9lJCt/Vampire---4.8_11595',co1_5) ).

tff(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.dVXDU9lJCt/Vampire---4.8_11595',co1_6) ).

tff(f193,axiom,
    ! [X6: $i] :
      ( ~ rearsegP(sk1,X6)
      | ~ rearsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.dVXDU9lJCt/Vampire---4.8_11595',co1_8) ).

tff(f59,axiom,
    ! [X0: $i] :
      ( rearsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.dVXDU9lJCt/Vampire---4.8_11595',clause59) ).

tff(f260,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f199,f233]) ).

tff(f233,plain,
    ( spl1_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

tff(f199,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

tff(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/tmp/tmp.dVXDU9lJCt/Vampire---4.8_11595',co1_7) ).

tff(f245,plain,
    ( ~ spl1_3
    | spl1_5 ),
    inference(avatar_split_clause,[],[f196,f242,f233]) ).

tff(f196,axiom,
    ( rearsegP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.dVXDU9lJCt/Vampire---4.8_11595',co1_11) ).

tff(f240,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f195,f237,f233]) ).

tff(f195,axiom,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.dVXDU9lJCt/Vampire---4.8_11595',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC051-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % 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
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Fri May  3 20:24:07 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.33  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.dVXDU9lJCt/Vampire---4.8_11595
% 0.51/0.73  % (11851)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)
% 0.51/0.73  % (11844)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)
% 0.51/0.73  % (11846)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.73  % (11847)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)
% 0.51/0.73  % (11845)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)
% 0.51/0.73  % (11849)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)
% 0.51/0.73  % (11850)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)
% 0.51/0.73  % (11844)First to succeed.
% 0.51/0.73  % (11847)Also succeeded, but the first one will report.
% 0.51/0.73  % (11846)Also succeeded, but the first one will report.
% 0.51/0.73  % (11851)Also succeeded, but the first one will report.
% 0.51/0.73  % (11850)Also succeeded, but the first one will report.
% 0.51/0.73  % (11844)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11840"
% 0.51/0.73  % (11844)Refutation found. Thanks to Tanya!
% 0.51/0.73  % SZS status Unsatisfiable for Vampire---4
% 0.51/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.51/0.73  % (11844)------------------------------
% 0.51/0.73  % (11844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.73  % (11844)Termination reason: Refutation
% 0.51/0.73  
% 0.51/0.73  % (11844)Memory used [KB]: 1176
% 0.51/0.73  % (11844)Time elapsed: 0.004 s
% 0.51/0.73  % (11844)Instructions burned: 4 (million)
% 0.51/0.73  % (11840)Success in time 0.388 s
% 0.51/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------