TSTP Solution File: SWC419-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC419-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.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 04:02:02 EDT 2024

% Result   : Unsatisfiable 0.63s 0.80s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   53 (  11 unt;   0 def)
%            Number of atoms       :  126 (  26 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  141 (  68   ~;  65   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f417,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f262,f267,f272,f275,f313,f398,f412,f416]) ).

fof(f416,plain,
    spl0_27,
    inference(avatar_contradiction_clause,[],[f415]) ).

fof(f415,plain,
    ( $false
    | spl0_27 ),
    inference(resolution,[],[f414,f199]) ).

fof(f199,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_1) ).

fof(f414,plain,
    ( ~ ssList(sk3)
    | spl0_27 ),
    inference(trivial_inequality_removal,[],[f413]) ).

fof(f413,plain,
    ( sk3 != sk3
    | ~ ssList(sk3)
    | spl0_27 ),
    inference(superposition,[],[f411,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',clause73) ).

fof(f411,plain,
    ( sk3 != app(sk3,nil)
    | spl0_27 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f409,plain,
    ( spl0_27
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f412,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_7
    | ~ spl0_27
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f407,f332,f269,f409,f259,f298,f250]) ).

fof(f250,plain,
    ( spl0_5
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f298,plain,
    ( spl0_13
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f259,plain,
    ( spl0_7
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f269,plain,
    ( spl0_9
  <=> sk3 = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f332,plain,
    ( spl0_19
  <=> sk4 = app(app(nil,cons(sk5,nil)),sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f407,plain,
    ( sk3 != app(sk3,nil)
    | ~ ssList(sk6)
    | ~ ssList(nil)
    | ~ ssItem(sk5)
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f406,f271]) ).

fof(f271,plain,
    ( sk3 = app(sk6,cons(sk5,nil))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f406,plain,
    ( sk3 != app(app(sk6,cons(sk5,nil)),nil)
    | ~ ssList(sk6)
    | ~ ssList(nil)
    | ~ ssItem(sk5)
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f404]) ).

fof(f404,plain,
    ( sk4 != sk4
    | sk3 != app(app(sk6,cons(sk5,nil)),nil)
    | ~ ssList(sk6)
    | ~ ssList(nil)
    | ~ ssItem(sk5)
    | ~ spl0_19 ),
    inference(superposition,[],[f202,f333]) ).

fof(f333,plain,
    ( sk4 = app(app(nil,cons(sk5,nil)),sk6)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f202,plain,
    ! [X8,X6,X7] :
      ( sk4 != app(app(X7,cons(X6,nil)),X8)
      | sk3 != app(app(X8,cons(X6,nil)),X7)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_5) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( sk1 != app(app(X8,cons(X6,nil)),X7)
      | sk2 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_8) ).

fof(f398,plain,
    ( ~ spl0_5
    | ~ spl0_13
    | ~ spl0_8
    | spl0_19 ),
    inference(avatar_split_clause,[],[f395,f332,f264,f298,f250]) ).

fof(f264,plain,
    ( spl0_8
  <=> sk4 = app(cons(sk5,nil),sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f395,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | ~ spl0_8
    | spl0_19 ),
    inference(resolution,[],[f86,f353]) ).

fof(f353,plain,
    ( ~ ssList(cons(sk5,nil))
    | ~ spl0_8
    | spl0_19 ),
    inference(trivial_inequality_removal,[],[f352]) ).

fof(f352,plain,
    ( sk4 != sk4
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_8
    | spl0_19 ),
    inference(forward_demodulation,[],[f343,f266]) ).

fof(f266,plain,
    ( sk4 = app(cons(sk5,nil),sk6)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f343,plain,
    ( sk4 != app(cons(sk5,nil),sk6)
    | ~ ssList(cons(sk5,nil))
    | spl0_19 ),
    inference(superposition,[],[f334,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',clause74) ).

fof(f334,plain,
    ( sk4 != app(app(nil,cons(sk5,nil)),sk6)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',clause86) ).

fof(f313,plain,
    spl0_13,
    inference(avatar_contradiction_clause,[],[f312]) ).

fof(f312,plain,
    ( $false
    | spl0_13 ),
    inference(resolution,[],[f300,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',clause8) ).

fof(f300,plain,
    ( ~ ssList(nil)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f275,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f274]) ).

fof(f274,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f256,f201]) ).

fof(f201,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_7) ).

fof(f256,plain,
    ( ~ neq(sk4,nil)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl0_6
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f272,plain,
    ( spl0_9
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f198,f254,f269]) ).

fof(f198,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_13) ).

fof(f267,plain,
    ( spl0_8
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f197,f254,f264]) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_12) ).

fof(f262,plain,
    ( spl0_7
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f196,f254,f259]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_11) ).

fof(f257,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f195,f254,f250]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/tmp/tmp.OeypGpLahn/Vampire---4.8_15738',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC419-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:15:11 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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/tmp/tmp.OeypGpLahn/Vampire---4.8_15738
% 0.63/0.79  % (16001)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)
% 0.63/0.79  % (15995)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)
% 0.63/0.79  % (15997)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.79  % (15996)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)
% 0.63/0.79  % (15999)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)
% 0.63/0.79  % (15998)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)
% 0.63/0.79  % (16000)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)
% 0.63/0.80  % (15995)Refutation not found, incomplete strategy% (15995)------------------------------
% 0.63/0.80  % (15995)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (15995)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (15995)Memory used [KB]: 1234
% 0.63/0.80  % (15995)Time elapsed: 0.009 s
% 0.63/0.80  % (15995)Instructions burned: 13 (million)
% 0.63/0.80  % (15995)------------------------------
% 0.63/0.80  % (15995)------------------------------
% 0.63/0.80  % (15996)First to succeed.
% 0.63/0.80  % (15996)Refutation found. Thanks to Tanya!
% 0.63/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.63/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.80  % (15996)------------------------------
% 0.63/0.80  % (15996)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80  % (15996)Termination reason: Refutation
% 0.63/0.80  
% 0.63/0.80  % (15996)Memory used [KB]: 1298
% 0.63/0.80  % (15996)Time elapsed: 0.012 s
% 0.63/0.80  % (15996)Instructions burned: 16 (million)
% 0.63/0.80  % (15996)------------------------------
% 0.63/0.80  % (15996)------------------------------
% 0.63/0.80  % (15991)Success in time 0.425 s
% 0.63/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------