TSTP Solution File: SET166-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n022.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 09:04:29 EDT 2024

% Result   : Unsatisfiable 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (   9 unt;   0 def)
%            Number of atoms       :   65 (   1 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   61 (  29   ~;  29   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f183,plain,
    $false,
    inference(avatar_sat_refutation,[],[f152,f169,f174,f182]) ).

fof(f182,plain,
    ( ~ spl0_1
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f181,plain,
    ( $false
    | ~ spl0_1
    | spl0_5 ),
    inference(subsumption_resolution,[],[f180,f131]) ).

fof(f131,plain,
    ( member(x,universal_class)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f130,plain,
    ( spl0_1
  <=> member(x,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f180,plain,
    ( ~ member(x,universal_class)
    | spl0_5 ),
    inference(subsumption_resolution,[],[f178,f115]) ).

fof(f115,axiom,
    ~ member(x,z),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',prove_members_of_union1_3) ).

fof(f178,plain,
    ( member(x,z)
    | ~ member(x,universal_class)
    | spl0_5 ),
    inference(resolution,[],[f168,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',complement2) ).

fof(f168,plain,
    ( ~ member(x,complement(z))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl0_5
  <=> member(x,complement(z)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f174,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f173]) ).

fof(f173,plain,
    ( $false
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f172,f131]) ).

fof(f172,plain,
    ( ~ member(x,universal_class)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f170,f114]) ).

fof(f114,axiom,
    ~ member(x,y),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',prove_members_of_union1_2) ).

fof(f170,plain,
    ( member(x,y)
    | ~ member(x,universal_class)
    | spl0_4 ),
    inference(resolution,[],[f164,f25]) ).

fof(f164,plain,
    ( ~ member(x,complement(y))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl0_4
  <=> member(x,complement(y)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f169,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f159,f166,f162]) ).

fof(f159,plain,
    ( ~ member(x,complement(z))
    | ~ member(x,complement(y)) ),
    inference(resolution,[],[f151,f23]) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
      | ~ member(X4,X1)
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',intersection3) ).

fof(f151,plain,
    ~ member(x,intersection(complement(y),complement(z))),
    inference(resolution,[],[f117,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',complement1) ).

fof(f117,plain,
    member(x,complement(intersection(complement(y),complement(z)))),
    inference(definition_unfolding,[],[f113,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',union) ).

fof(f113,axiom,
    member(x,union(y,z)),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',prove_members_of_union1_1) ).

fof(f152,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f149]) ).

fof(f149,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f117,f138]) ).

fof(f138,plain,
    ( ! [X0] : ~ member(x,X0)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f137,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',class_elements_are_sets) ).

fof(f137,plain,
    ( ! [X0] :
        ( ~ member(x,X0)
        | ~ subclass(X0,universal_class) )
    | spl0_1 ),
    inference(resolution,[],[f132,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.a0lEDGiLn0/Vampire---4.8_29955',subclass_members) ).

fof(f132,plain,
    ( ~ member(x,universal_class)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f130]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.15  % 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
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 17:02:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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.a0lEDGiLn0/Vampire---4.8_29955
% 0.59/0.77  % (30119)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)
% 0.59/0.77  % (30120)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)
% 0.59/0.77  % (30121)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.77  % (30123)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)
% 0.59/0.77  % (30122)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)
% 0.59/0.77  % (30124)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)
% 0.59/0.77  % (30125)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)
% 0.59/0.77  % (30126)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)
% 0.59/0.77  % (30119)Refutation not found, incomplete strategy% (30119)------------------------------
% 0.59/0.77  % (30119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (30119)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (30119)Memory used [KB]: 1086
% 0.59/0.77  % (30119)Time elapsed: 0.002 s
% 0.59/0.77  % (30122)Refutation not found, incomplete strategy% (30122)------------------------------
% 0.59/0.77  % (30122)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (30119)Instructions burned: 3 (million)
% 0.59/0.77  % (30122)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (30122)Memory used [KB]: 1066
% 0.59/0.77  % (30122)Time elapsed: 0.002 s
% 0.59/0.77  % (30122)Instructions burned: 2 (million)
% 0.59/0.77  % (30119)------------------------------
% 0.59/0.77  % (30119)------------------------------
% 0.59/0.77  % (30122)------------------------------
% 0.59/0.77  % (30122)------------------------------
% 0.59/0.77  % (30126)Refutation not found, incomplete strategy% (30126)------------------------------
% 0.59/0.77  % (30126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (30126)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77  
% 0.59/0.77  % (30126)Memory used [KB]: 1087
% 0.59/0.77  % (30126)Time elapsed: 0.003 s
% 0.59/0.77  % (30126)Instructions burned: 3 (million)
% 0.59/0.77  % (30126)------------------------------
% 0.59/0.77  % (30126)------------------------------
% 0.59/0.77  % (30124)First to succeed.
% 0.59/0.77  % (30124)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30118"
% 0.59/0.77  % (30127)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 Vampire---4 for (2996ds/55Mi)
% 0.59/0.77  % (30124)Refutation found. Thanks to Tanya!
% 0.59/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77  % (30124)------------------------------
% 0.59/0.77  % (30124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77  % (30124)Termination reason: Refutation
% 0.59/0.77  
% 0.59/0.77  % (30124)Memory used [KB]: 1113
% 0.59/0.77  % (30124)Time elapsed: 0.005 s
% 0.59/0.77  % (30124)Instructions burned: 5 (million)
% 0.59/0.77  % (30118)Success in time 0.402 s
% 0.59/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------