TSTP Solution File: SWC366-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC366-1 : 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 : n024.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 : Wed May  1 04:01:43 EDT 2024

% Result   : Unsatisfiable 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   65 (  12 unt;   0 def)
%            Number of atoms       :  172 (  24 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  206 (  99   ~; 102   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f330,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f249,f252,f265,f276,f329]) ).

fof(f329,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f328]) ).

fof(f328,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f327,f232]) ).

fof(f232,plain,
    ( ssList(cons(hd(sk4),nil))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_3
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f327,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f326,f198]) ).

fof(f198,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',co1_1) ).

fof(f326,plain,
    ( ~ ssList(sk3)
    | ~ ssList(cons(hd(sk4),nil))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f325,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',co1_2) ).

fof(f325,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(cons(hd(sk4),nil))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f289,f243]) ).

fof(f243,plain,
    ~ rearsegP(sk4,sk3),
    inference(subsumption_resolution,[],[f204,f220]) ).

fof(f220,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',co1_7) ).

fof(f204,plain,
    ( ~ neq(sk4,nil)
    | ~ rearsegP(sk4,sk3) ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | ~ rearsegP(sk2,sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',co1_12) ).

fof(f289,plain,
    ( rearsegP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ ssList(sk3)
    | ~ ssList(cons(hd(sk4),nil))
    | ~ spl0_2 ),
    inference(superposition,[],[f215,f229]) ).

fof(f229,plain,
    ( sk4 = app(cons(hd(sk4),nil),sk3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl0_2
  <=> sk4 = app(cons(hd(sk4),nil),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f215,plain,
    ! [X0,X1] :
      ( rearsegP(app(X0,X1),X1)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f143]) ).

fof(f143,axiom,
    ! [X2,X0,X1] :
      ( rearsegP(X2,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',clause143) ).

fof(f276,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f275]) ).

fof(f275,plain,
    ( $false
    | spl0_5 ),
    inference(subsumption_resolution,[],[f273,f271]) ).

fof(f271,plain,
    ( neq(nil,nil)
    | spl0_5 ),
    inference(superposition,[],[f220,f269]) ).

fof(f269,plain,
    ( nil = sk4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f268,f199]) ).

fof(f268,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f266,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',clause8) ).

fof(f266,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl0_5 ),
    inference(resolution,[],[f241,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',clause100) ).

fof(f241,plain,
    ( ~ neq(nil,sk4)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_5
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f273,plain,
    ( ~ neq(nil,nil)
    | spl0_5 ),
    inference(superposition,[],[f241,f269]) ).

fof(f265,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f264,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f262,f8]) ).

fof(f262,plain,
    ( ~ ssList(nil)
    | spl0_4 ),
    inference(resolution,[],[f257,f218]) ).

fof(f218,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f212,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.pUIQ7WuXSY/Vampire---4.8_22525',clause115) ).

fof(f257,plain,
    ( neq(nil,nil)
    | spl0_4 ),
    inference(superposition,[],[f220,f255]) ).

fof(f255,plain,
    ( nil = sk4
    | spl0_4 ),
    inference(subsumption_resolution,[],[f253,f199]) ).

fof(f253,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | spl0_4 ),
    inference(resolution,[],[f237,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',clause76) ).

fof(f237,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_4
  <=> ssItem(hd(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f252,plain,
    ( ~ spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f251,f231,f235]) ).

fof(f251,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_3 ),
    inference(subsumption_resolution,[],[f250,f8]) ).

fof(f250,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk4))
    | spl0_3 ),
    inference(resolution,[],[f233,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',clause86) ).

fof(f233,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f249,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f248,f223,f231]) ).

fof(f223,plain,
    ( spl0_1
  <=> ssList(app(cons(hd(sk4),nil),sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f248,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f247,f198]) ).

fof(f247,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(sk3)
    | spl0_1 ),
    inference(resolution,[],[f225,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',clause85) ).

fof(f225,plain,
    ( ~ ssList(app(cons(hd(sk4),nil),sk3))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f242,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f221,f239,f235,f231,f227,f223]) ).

fof(f221,plain,
    ( ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | sk4 = app(cons(hd(sk4),nil),sk3)
    | ~ ssList(app(cons(hd(sk4),nil),sk3)) ),
    inference(subsumption_resolution,[],[f210,f220]) ).

fof(f210,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | sk4 = app(cons(hd(sk4),nil),sk3)
    | ~ ssList(app(cons(hd(sk4),nil),sk3)) ),
    inference(equality_resolution,[],[f209]) ).

fof(f209,plain,
    ! [X6] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | app(cons(hd(sk4),nil),sk3) != X6
      | ~ ssList(cons(hd(sk4),nil))
      | sk4 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f208]) ).

fof(f208,plain,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | cons(hd(sk4),nil) != X7
      | ~ ssItem(hd(sk4))
      | app(X7,sk3) != X6
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | hd(sk4) != X8
      | cons(X8,nil) != X7
      | ~ ssItem(X8)
      | app(X7,sk3) != X6
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.pUIQ7WuXSY/Vampire---4.8_22525',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC366-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % 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
% 0.13/0.33  % Computer : n024.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
% 0.18/0.33  % CPULimit   : 300
% 0.18/0.33  % WCLimit    : 300
% 0.18/0.33  % DateTime   : Tue Apr 30 18:15:06 EDT 2024
% 0.18/0.34  % CPUTime    : 
% 0.18/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.18/0.34  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.pUIQ7WuXSY/Vampire---4.8_22525
% 0.54/0.76  % (22721)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.54/0.76  % (22723)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 (2995ds/56Mi)
% 0.54/0.76  % (22716)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 (2995ds/34Mi)
% 0.54/0.76  % (22718)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.76  % (22717)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 (2995ds/51Mi)
% 0.54/0.76  % (22719)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.54/0.76  % (22720)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 (2995ds/34Mi)
% 0.54/0.76  % (22722)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 (2995ds/83Mi)
% 0.54/0.76  % (22721)First to succeed.
% 0.54/0.76  % (22721)Refutation found. Thanks to Tanya!
% 0.54/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76  % (22721)------------------------------
% 0.54/0.76  % (22721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76  % (22721)Termination reason: Refutation
% 0.54/0.76  
% 0.54/0.76  % (22721)Memory used [KB]: 1207
% 0.54/0.76  % (22721)Time elapsed: 0.004 s
% 0.54/0.76  % (22721)Instructions burned: 7 (million)
% 0.54/0.76  % (22721)------------------------------
% 0.54/0.76  % (22721)------------------------------
% 0.54/0.76  % (22695)Success in time 0.408 s
% 0.54/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------