TSTP Solution File: SWC404-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC404-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 04:38:44 EDT 2024

% Result   : Unsatisfiable 0.61s 0.79s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   35 (  15 unt;   0 def)
%            Number of atoms       :   87 (   3 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  106 (  54   ~;  50   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f522,plain,
    $false,
    inference(avatar_sat_refutation,[],[f269,f307,f521]) ).

fof(f521,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f520]) ).

fof(f520,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f519,f204]) ).

fof(f204,plain,
    memberP(sk3,sk7),
    inference(definition_unfolding,[],[f199,f191]) ).

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

fof(f199,axiom,
    memberP(sk1,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f519,plain,
    ( ~ memberP(sk3,sk7)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f518,f198]) ).

fof(f198,axiom,
    ssItem(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f518,plain,
    ( ~ ssItem(sk7)
    | ~ memberP(sk3,sk7)
    | ~ spl0_7 ),
    inference(resolution,[],[f514,f205]) ).

fof(f205,plain,
    ~ memberP(sk4,sk7),
    inference(definition_unfolding,[],[f200,f190]) ).

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

fof(f200,axiom,
    ~ memberP(sk2,sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f514,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ memberP(sk3,X0) )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f513,f202]) ).

fof(f202,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f513,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk3)
        | ~ memberP(sk3,X0) )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f511,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f511,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk5)
        | ~ ssList(sk3)
        | ~ memberP(sk3,X0) )
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f510]) ).

fof(f510,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ ssItem(X0)
        | ~ ssList(sk5)
        | ~ ssList(sk3)
        | ~ memberP(sk3,X0) )
    | ~ spl0_7 ),
    inference(resolution,[],[f268,f141]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f268,plain,
    ( ! [X0] :
        ( ~ memberP(app(sk5,sk3),X0)
        | memberP(sk4,X0)
        | ~ ssItem(X0) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl0_7
  <=> ! [X0] :
        ( memberP(sk4,X0)
        | ~ memberP(app(sk5,sk3),X0)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f307,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f305,f202]) ).

fof(f305,plain,
    ( ~ ssList(sk3)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f304,f192]) ).

fof(f304,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk3)
    | spl0_4 ),
    inference(resolution,[],[f251,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f251,plain,
    ( ~ ssList(app(sk5,sk3))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl0_4
  <=> ssList(app(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f269,plain,
    ( ~ spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f265,f267,f249]) ).

fof(f265,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ ssList(app(sk5,sk3))
      | ~ memberP(app(sk5,sk3),X0) ),
    inference(subsumption_resolution,[],[f231,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f231,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssItem(X0)
      | ~ ssList(app(sk5,sk3))
      | ~ ssList(sk6)
      | ~ memberP(app(sk5,sk3),X0) ),
    inference(superposition,[],[f140,f194]) ).

fof(f194,axiom,
    sk4 = app(app(sk5,sk3),sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC404-1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 02:59:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  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/benchmark/theBenchmark.p
% 0.61/0.78  % (13511)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)
% 0.61/0.78  % (13505)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)
% 0.61/0.78  % (13507)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.78  % (13508)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)
% 0.61/0.78  % (13509)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)
% 0.61/0.78  % (13510)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)
% 0.61/0.78  % (13506)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)
% 0.61/0.78  % (13512)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)
% 0.61/0.79  % (13512)Refutation not found, incomplete strategy% (13512)------------------------------
% 0.61/0.79  % (13512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (13512)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (13512)Memory used [KB]: 1220
% 0.61/0.79  % (13512)Time elapsed: 0.005 s
% 0.61/0.79  % (13512)Instructions burned: 6 (million)
% 0.61/0.79  % (13512)------------------------------
% 0.61/0.79  % (13512)------------------------------
% 0.61/0.79  % (13513)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.61/0.79  % (13510)First to succeed.
% 0.61/0.79  % (13510)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13504"
% 0.61/0.79  % (13510)Refutation found. Thanks to Tanya!
% 0.61/0.79  % SZS status Unsatisfiable for theBenchmark
% 0.61/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.79  % (13510)------------------------------
% 0.61/0.79  % (13510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (13510)Termination reason: Refutation
% 0.61/0.79  
% 0.61/0.79  % (13510)Memory used [KB]: 1323
% 0.61/0.79  % (13510)Time elapsed: 0.010 s
% 0.61/0.79  % (13510)Instructions burned: 14 (million)
% 0.61/0.79  % (13504)Success in time 0.437 s
% 0.61/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------