TSTP Solution File: SWC279-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC279-1 : 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 : n032.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 04:37:43 EDT 2024

% Result   : Unsatisfiable 0.47s 0.64s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   42 (   8 unt;   0 def)
%            Number of atoms       :  119 (   7 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  149 (  72   ~;  73   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f252,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f225,f230,f231,f247,f251]) ).

fof(f251,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f250,plain,
    ( $false
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f249,f229]) ).

fof(f229,plain,
    ( ~ leq(sk8,sk5)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl0_4
  <=> leq(sk8,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f249,plain,
    ( leq(sk8,sk5)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f248,f198]) ).

fof(f198,axiom,
    ssItem(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f248,plain,
    ( ~ ssItem(sk8)
    | leq(sk8,sk5)
    | ~ spl0_1 ),
    inference(resolution,[],[f242,f215]) ).

fof(f215,plain,
    ( memberP(sk6,sk8)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl0_1
  <=> memberP(sk6,sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f242,plain,
    ! [X0] :
      ( ~ memberP(sk6,X0)
      | ~ ssItem(X0)
      | leq(X0,sk5) ),
    inference(subsumption_resolution,[],[f241,f194]) ).

fof(f194,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f241,plain,
    ! [X0] :
      ( leq(X0,sk5)
      | ~ ssItem(X0)
      | ~ memberP(sk6,X0)
      | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f240,f195]) ).

fof(f195,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f240,plain,
    ! [X0] :
      ( leq(X0,sk5)
      | ~ ssItem(X0)
      | ~ memberP(sk6,X0)
      | ~ ssList(sk6)
      | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f239,f196]) ).

fof(f196,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f239,plain,
    ! [X0] :
      ( leq(X0,sk5)
      | ~ ssItem(X0)
      | ~ memberP(sk6,X0)
      | ~ ssList(sk7)
      | ~ ssList(sk6)
      | ~ ssItem(sk5) ),
    inference(trivial_inequality_removal,[],[f238]) ).

fof(f238,plain,
    ! [X0] :
      ( sk3 != sk3
      | leq(X0,sk5)
      | ~ ssItem(X0)
      | ~ memberP(sk6,X0)
      | ~ ssList(sk7)
      | ~ ssList(sk6)
      | ~ ssItem(sk5) ),
    inference(superposition,[],[f193,f205]) ).

fof(f205,plain,
    sk3 = app(app(sk6,cons(sk5,nil)),sk7),
    inference(definition_unfolding,[],[f197,f191]) ).

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

fof(f197,axiom,
    sk1 = app(app(sk6,cons(sk5,nil)),sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f193,axiom,
    ! [X8,X6,X9,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | leq(X9,X6)
      | ~ ssItem(X9)
      | ~ memberP(X7,X9)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f247,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f244,f217,f222]) ).

fof(f222,plain,
    ( spl0_3
  <=> leq(sk5,sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f217,plain,
    ( spl0_2
  <=> memberP(sk7,sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f244,plain,
    ( leq(sk5,sk8)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f243,f198]) ).

fof(f243,plain,
    ( ~ ssItem(sk8)
    | leq(sk5,sk8)
    | ~ spl0_2 ),
    inference(resolution,[],[f237,f219]) ).

fof(f219,plain,
    ( memberP(sk7,sk8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ memberP(sk7,X0)
      | ~ ssItem(X0)
      | leq(sk5,X0) ),
    inference(subsumption_resolution,[],[f236,f194]) ).

fof(f236,plain,
    ! [X0] :
      ( leq(sk5,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk7,X0)
      | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f235,f195]) ).

fof(f235,plain,
    ! [X0] :
      ( leq(sk5,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk7,X0)
      | ~ ssList(sk6)
      | ~ ssItem(sk5) ),
    inference(subsumption_resolution,[],[f234,f196]) ).

fof(f234,plain,
    ! [X0] :
      ( leq(sk5,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk7,X0)
      | ~ ssList(sk7)
      | ~ ssList(sk6)
      | ~ ssItem(sk5) ),
    inference(trivial_inequality_removal,[],[f233]) ).

fof(f233,plain,
    ! [X0] :
      ( sk3 != sk3
      | leq(sk5,X0)
      | ~ ssItem(X0)
      | ~ memberP(sk7,X0)
      | ~ ssList(sk7)
      | ~ ssList(sk6)
      | ~ ssItem(sk5) ),
    inference(superposition,[],[f192,f205]) ).

fof(f192,axiom,
    ! [X8,X6,X9,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | leq(X6,X9)
      | ~ ssItem(X9)
      | ~ memberP(X8,X9)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f231,plain,
    ( ~ spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f202,f222,f227]) ).

fof(f202,axiom,
    ( ~ leq(sk5,sk8)
    | ~ leq(sk8,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f230,plain,
    ( ~ spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f201,f217,f227]) ).

fof(f201,axiom,
    ( memberP(sk7,sk8)
    | ~ leq(sk8,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f225,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f200,f222,f213]) ).

fof(f200,axiom,
    ( ~ leq(sk5,sk8)
    | memberP(sk6,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f220,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f199,f217,f213]) ).

fof(f199,axiom,
    ( memberP(sk7,sk8)
    | memberP(sk6,sk8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem    : SWC279-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.11  % 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
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Sun May 19 03:31:07 EDT 2024
% 0.11/0.30  % CPUTime    : 
% 0.11/0.30  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.30  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
% 0.47/0.64  % (15701)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.64  % (15703)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 (2996ds/34Mi)
% 0.47/0.64  % (15702)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.47/0.64  % (15705)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 (2996ds/83Mi)
% 0.47/0.64  % (15706)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 (2996ds/56Mi)
% 0.47/0.64  % (15704)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.47/0.64  % (15699)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 (2996ds/34Mi)
% 0.47/0.64  % (15700)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 (2996ds/51Mi)
% 0.47/0.64  % (15701)First to succeed.
% 0.47/0.64  % (15706)Also succeeded, but the first one will report.
% 0.47/0.64  % (15701)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15698"
% 0.47/0.64  % (15701)Refutation found. Thanks to Tanya!
% 0.47/0.64  % SZS status Unsatisfiable for theBenchmark
% 0.47/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.64  % (15701)------------------------------
% 0.47/0.64  % (15701)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64  % (15701)Termination reason: Refutation
% 0.47/0.64  
% 0.47/0.64  % (15701)Memory used [KB]: 1205
% 0.47/0.64  % (15701)Time elapsed: 0.003 s
% 0.47/0.64  % (15701)Instructions burned: 6 (million)
% 0.47/0.64  % (15698)Success in time 0.336 s
% 0.47/0.64  % Vampire---4.8 exiting
%------------------------------------------------------------------------------