TSTP Solution File: SWC242-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC242-1 : 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 : n025.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 09:49:40 EDT 2024

% Result   : Unsatisfiable 0.52s 0.73s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   61 (  13 unt;   0 def)
%            Number of atoms       :  180 (  25 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  237 ( 118   ~; 116   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f268,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f255,f261,f267]) ).

fof(f267,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f266,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f265,f219]) ).

fof(f219,plain,
    ssItem(sk6),
    inference(subsumption_resolution,[],[f198,f205]) ).

fof(f205,plain,
    nil != sk3,
    inference(definition_unfolding,[],[f192,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_6) ).

fof(f192,axiom,
    nil != sk1,
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_7) ).

fof(f198,axiom,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_13) ).

fof(f265,plain,
    ( ~ ssItem(sk6)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f264,f220]) ).

fof(f220,plain,
    ssList(sk7),
    inference(subsumption_resolution,[],[f199,f205]) ).

fof(f199,axiom,
    ( ssList(sk7)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_14) ).

fof(f264,plain,
    ( ~ ssList(sk7)
    | ~ ssItem(sk6)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f263,f221]) ).

fof(f221,plain,
    ssList(sk8),
    inference(subsumption_resolution,[],[f200,f205]) ).

fof(f200,axiom,
    ( ssList(sk8)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_15) ).

fof(f263,plain,
    ( ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f262,f222]) ).

fof(f222,plain,
    sk3 = app(app(sk7,cons(sk6,nil)),sk8),
    inference(subsumption_resolution,[],[f201,f205]) ).

fof(f201,axiom,
    ( sk3 = app(app(sk7,cons(sk6,nil)),sk8)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_16) ).

fof(f262,plain,
    ( sk3 != app(app(sk7,cons(sk6,nil)),sk8)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | ~ spl0_2 ),
    inference(resolution,[],[f244,f210]) ).

fof(f210,plain,
    ! [X8,X6,X7] :
      ( ~ leq(X6,sk5(X8,X7,X6))
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f197,f191]) ).

fof(f197,axiom,
    ! [X8,X6,X7] :
      ( ~ leq(X6,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_12) ).

fof(f244,plain,
    ( leq(sk6,sk5(sk8,sk7,sk6))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl0_2
  <=> leq(sk6,sk5(sk8,sk7,sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f261,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f260]) ).

fof(f260,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f259,f219]) ).

fof(f259,plain,
    ( ~ ssItem(sk6)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f258,f220]) ).

fof(f258,plain,
    ( ~ ssList(sk7)
    | ~ ssItem(sk6)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f257,f221]) ).

fof(f257,plain,
    ( ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f256,f222]) ).

fof(f256,plain,
    ( sk3 != app(app(sk7,cons(sk6,nil)),sk8)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | spl0_3 ),
    inference(resolution,[],[f248,f209]) ).

fof(f209,plain,
    ! [X8,X6,X7] :
      ( lt(X6,sk5(X8,X7,X6))
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f196,f191]) ).

fof(f196,axiom,
    ! [X8,X6,X7] :
      ( lt(X6,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_11) ).

fof(f248,plain,
    ( ~ lt(sk6,sk5(sk8,sk7,sk6))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl0_3
  <=> lt(sk6,sk5(sk8,sk7,sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f255,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f254]) ).

fof(f254,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f253,f219]) ).

fof(f253,plain,
    ( ~ ssItem(sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f252,f220]) ).

fof(f252,plain,
    ( ~ ssList(sk7)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f251,f221]) ).

fof(f251,plain,
    ( ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f250,f222]) ).

fof(f250,plain,
    ( sk3 != app(app(sk7,cons(sk6,nil)),sk8)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | spl0_1 ),
    inference(resolution,[],[f240,f206]) ).

fof(f206,plain,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_8) ).

fof(f240,plain,
    ( ~ ssItem(sk5(sk8,sk7,sk6))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_1
  <=> ssItem(sk5(sk8,sk7,sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f249,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f236,f246,f242,f238]) ).

fof(f236,plain,
    ( ~ lt(sk6,sk5(sk8,sk7,sk6))
    | leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk5(sk8,sk7,sk6)) ),
    inference(subsumption_resolution,[],[f235,f229]) ).

fof(f229,plain,
    memberP(sk7,sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f228,f219]) ).

fof(f228,plain,
    ( memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f227,f220]) ).

fof(f227,plain,
    ( memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f226,f221]) ).

fof(f226,plain,
    ( memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(trivial_inequality_removal,[],[f225]) ).

fof(f225,plain,
    ( sk3 != sk3
    | memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(superposition,[],[f207,f222]) ).

fof(f207,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | memberP(X7,sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f194,f191]) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( memberP(X7,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_9) ).

fof(f235,plain,
    ( ~ lt(sk6,sk5(sk8,sk7,sk6))
    | ~ memberP(sk7,sk5(sk8,sk7,sk6))
    | leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk5(sk8,sk7,sk6)) ),
    inference(resolution,[],[f234,f223]) ).

fof(f223,plain,
    ! [X6] :
      ( ~ memberP(sk8,X6)
      | ~ lt(sk6,X6)
      | ~ memberP(sk7,X6)
      | leq(sk6,X6)
      | ~ ssItem(X6) ),
    inference(subsumption_resolution,[],[f202,f205]) ).

fof(f202,axiom,
    ! [X6] :
      ( ~ lt(sk6,X6)
      | ~ memberP(sk8,X6)
      | ~ memberP(sk7,X6)
      | leq(sk6,X6)
      | ~ ssItem(X6)
      | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_17) ).

fof(f234,plain,
    memberP(sk8,sk5(sk8,sk7,sk6)),
    inference(subsumption_resolution,[],[f233,f219]) ).

fof(f233,plain,
    ( memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f232,f220]) ).

fof(f232,plain,
    ( memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(subsumption_resolution,[],[f231,f221]) ).

fof(f231,plain,
    ( memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(trivial_inequality_removal,[],[f230]) ).

fof(f230,plain,
    ( sk3 != sk3
    | memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6) ),
    inference(superposition,[],[f208,f222]) ).

fof(f208,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | memberP(X8,sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f195,f191]) ).

fof(f195,axiom,
    ! [X8,X6,X7] :
      ( memberP(X8,sk5(X8,X7,X6))
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.bjW1pqZ0wD/Vampire---4.8_23315',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC242-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % 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
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 20:27:53 EDT 2024
% 0.18/0.35  % CPUTime    : 
% 0.18/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.18/0.35  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.bjW1pqZ0wD/Vampire---4.8_23315
% 0.52/0.73  % (23425)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.73  % (23428)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)
% 0.52/0.73  % (23426)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)
% 0.52/0.73  % (23427)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)
% 0.52/0.73  % (23423)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)
% 0.52/0.73  % (23424)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)
% 0.52/0.73  % (23429)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)
% 0.52/0.73  % (23430)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)
% 0.52/0.73  % (23425)First to succeed.
% 0.52/0.73  % (23423)Also succeeded, but the first one will report.
% 0.52/0.73  % (23425)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23422"
% 0.52/0.73  % (23430)Also succeeded, but the first one will report.
% 0.52/0.73  % (23425)Refutation found. Thanks to Tanya!
% 0.52/0.73  % SZS status Unsatisfiable for Vampire---4
% 0.52/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.73  % (23425)------------------------------
% 0.52/0.73  % (23425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73  % (23425)Termination reason: Refutation
% 0.52/0.73  
% 0.52/0.73  % (23425)Memory used [KB]: 1200
% 0.52/0.73  % (23425)Time elapsed: 0.005 s
% 0.52/0.73  % (23425)Instructions burned: 8 (million)
% 0.52/0.73  % (23422)Success in time 0.373 s
% 0.52/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------