TSTP Solution File: SWC017-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC017-1 : 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 : n005.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 09:48:00 EDT 2024

% Result   : Unsatisfiable 0.48s 0.69s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   49 (   8 unt;   0 def)
%            Number of atoms       :  121 (  15 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  141 (  69   ~;  66   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f289,plain,
    $false,
    inference(avatar_sat_refutation,[],[f222,f227,f233,f238,f240,f274,f282,f288]) ).

fof(f288,plain,
    ( ~ spl0_1
    | spl0_4
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | ~ spl0_1
    | spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f284,f277]) ).

fof(f277,plain,
    ( frontsegP(nil,sk3)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f237,f213]) ).

fof(f213,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f237,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_6
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f284,plain,
    ( ~ frontsegP(nil,sk3)
    | spl0_4 ),
    inference(unit_resulting_resolution,[],[f200,f226,f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ frontsegP(nil,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',clause84) ).

fof(f226,plain,
    ( nil != sk3
    | spl0_4 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',co1_1) ).

fof(f282,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f281]) ).

fof(f281,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f276,f250]) ).

fof(f250,plain,
    ~ neq(nil,nil),
    inference(unit_resulting_resolution,[],[f8,f209]) ).

fof(f209,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',clause115) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',clause8) ).

fof(f276,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f217,f213]) ).

fof(f217,plain,
    ( neq(sk4,nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_2
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f274,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f273,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f272,f237]) ).

fof(f272,plain,
    ( ~ frontsegP(sk4,sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f271,f245]) ).

fof(f245,plain,
    frontsegP(sk3,sk3),
    inference(unit_resulting_resolution,[],[f200,f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',clause61) ).

fof(f271,plain,
    ( ~ frontsegP(sk3,sk3)
    | ~ frontsegP(sk4,sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f261,f200]) ).

fof(f261,plain,
    ( ~ ssList(sk3)
    | ~ frontsegP(sk3,sk3)
    | ~ frontsegP(sk4,sk3)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(resolution,[],[f221,f232]) ).

fof(f232,plain,
    ( neq(sk3,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl0_5
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f221,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ frontsegP(sk3,X6)
        | ~ frontsegP(sk4,X6) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl0_3
  <=> ! [X6] :
        ( ~ frontsegP(sk3,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ frontsegP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f240,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f199,f235,f224]) ).

fof(f199,axiom,
    ( frontsegP(sk4,sk3)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',co1_14) ).

fof(f238,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f197,f235,f211]) ).

fof(f197,axiom,
    ( frontsegP(sk4,sk3)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',co1_12) ).

fof(f233,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f196,f230,f211]) ).

fof(f196,axiom,
    ( neq(sk3,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',co1_11) ).

fof(f227,plain,
    ( ~ spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f204,f215,f224]) ).

fof(f204,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f194,f190,f191]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',co1_5) ).

fof(f194,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',co1_9) ).

fof(f222,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f203,f220,f211]) ).

fof(f203,plain,
    ! [X6] :
      ( ~ frontsegP(sk3,X6)
      | ~ frontsegP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk4 ),
    inference(definition_unfolding,[],[f193,f191,f190,f190]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox2/tmp/tmp.YFtCAnH1oj/Vampire---4.8_5751',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC017-1 : TPTP v8.1.2. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 20:32:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  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.YFtCAnH1oj/Vampire---4.8_5751
% 0.48/0.68  % (5859)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)
% 0.48/0.68  % (5861)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.48/0.68  % (5862)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)
% 0.48/0.68  % (5864)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)
% 0.48/0.68  % (5863)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)
% 0.48/0.68  % (5865)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)
% 0.48/0.68  % (5860)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)
% 0.48/0.68  % (5862)First to succeed.
% 0.48/0.68  % (5861)Also succeeded, but the first one will report.
% 0.48/0.68  % (5866)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 (2996ds/56Mi)
% 0.48/0.68  % (5864)Also succeeded, but the first one will report.
% 0.48/0.69  % (5862)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5858"
% 0.48/0.69  % (5862)Refutation found. Thanks to Tanya!
% 0.48/0.69  % SZS status Unsatisfiable for Vampire---4
% 0.48/0.69  % SZS output start Proof for Vampire---4
% See solution above
% 0.48/0.69  % (5862)------------------------------
% 0.48/0.69  % (5862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.69  % (5862)Termination reason: Refutation
% 0.48/0.69  
% 0.48/0.69  % (5862)Memory used [KB]: 1208
% 0.48/0.69  % (5862)Time elapsed: 0.005 s
% 0.48/0.69  % (5862)Instructions burned: 5 (million)
% 0.48/0.69  % (5858)Success in time 0.329 s
% 0.48/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------