TSTP Solution File: NUM183-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM183-1 : 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 : n017.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 08:08:20 EDT 2024

% Result   : Unsatisfiable 0.55s 0.70s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   32 (  10 unt;   0 def)
%            Number of atoms       :   62 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  32   ~;  28   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f290,plain,
    $false,
    inference(avatar_sat_refutation,[],[f193,f251,f284]) ).

fof(f284,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f283]) ).

fof(f283,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f282,f232]) ).

fof(f232,plain,
    ( member(x,complement(kind_1_ordinals))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_3
  <=> member(x,complement(kind_1_ordinals)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f282,plain,
    ~ member(x,complement(kind_1_ordinals)),
    inference(subsumption_resolution,[],[f281,f159]) ).

fof(f159,axiom,
    member(x,ordinal_numbers),
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',prove_ordinals_are_kind_1_or_limit_1) ).

fof(f281,plain,
    ( ~ member(x,ordinal_numbers)
    | ~ member(x,complement(kind_1_ordinals)) ),
    inference(subsumption_resolution,[],[f277,f170]) ).

fof(f170,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',equal_implies_subclass1) ).

fof(f277,plain,
    ( ~ subclass(limit_ordinals,limit_ordinals)
    | ~ member(x,ordinal_numbers)
    | ~ member(x,complement(kind_1_ordinals)) ),
    inference(superposition,[],[f198,f139]) ).

fof(f139,axiom,
    intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',limit_ordinals) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ~ subclass(intersection(X0,X1),limit_ordinals)
      | ~ member(x,X1)
      | ~ member(x,X0) ),
    inference(resolution,[],[f172,f23]) ).

fof(f23,axiom,
    ! [X0,X1,X4] :
      ( member(X4,intersection(X0,X1))
      | ~ member(X4,X1)
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',intersection3) ).

fof(f172,plain,
    ! [X0] :
      ( ~ member(x,X0)
      | ~ subclass(X0,limit_ordinals) ),
    inference(resolution,[],[f161,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',subclass_members) ).

fof(f161,axiom,
    ~ member(x,limit_ordinals),
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',prove_ordinals_are_kind_1_or_limit_3) ).

fof(f251,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f250]) ).

fof(f250,plain,
    ( $false
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f249,f180]) ).

fof(f180,plain,
    ( member(x,universal_class)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl0_1
  <=> member(x,universal_class) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f249,plain,
    ( ~ member(x,universal_class)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f247,f160]) ).

fof(f160,axiom,
    ~ member(x,kind_1_ordinals),
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',prove_ordinals_are_kind_1_or_limit_2) ).

fof(f247,plain,
    ( member(x,kind_1_ordinals)
    | ~ member(x,universal_class)
    | spl0_3 ),
    inference(resolution,[],[f233,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',complement2) ).

fof(f233,plain,
    ( ~ member(x,complement(kind_1_ordinals))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f193,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f188]) ).

fof(f188,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f187,f159]) ).

fof(f187,plain,
    ( ! [X0] : ~ member(x,X0)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f186,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.zRLK4Qe1cZ/Vampire---4.8_16933',class_elements_are_sets) ).

fof(f186,plain,
    ( ! [X0] :
        ( ~ member(x,X0)
        | ~ subclass(X0,universal_class) )
    | spl0_1 ),
    inference(resolution,[],[f181,f1]) ).

fof(f181,plain,
    ( ~ member(x,universal_class)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f179]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : NUM183-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.12  % 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
% 0.11/0.31  % Computer : n017.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 13:54:37 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.17/0.31  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.zRLK4Qe1cZ/Vampire---4.8_16933
% 0.55/0.69  % (17048)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)
% 0.55/0.69  % (17048)Refutation not found, incomplete strategy% (17048)------------------------------
% 0.55/0.69  % (17048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.69  % (17048)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.69  
% 0.55/0.69  % (17048)Memory used [KB]: 1144
% 0.55/0.69  % (17048)Time elapsed: 0.002 s
% 0.55/0.69  % (17048)Instructions burned: 3 (million)
% 0.55/0.69  % (17041)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)
% 0.55/0.69  % (17042)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)
% 0.55/0.69  % (17044)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)
% 0.55/0.70  % (17048)------------------------------
% 0.55/0.70  % (17048)------------------------------
% 0.55/0.70  % (17043)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.70  % (17045)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)
% 0.55/0.70  % (17046)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)
% 0.55/0.70  % (17047)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)
% 0.55/0.70  % (17044)Refutation not found, incomplete strategy% (17044)------------------------------
% 0.55/0.70  % (17044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.70  % (17044)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.70  
% 0.55/0.70  % (17044)Memory used [KB]: 1095
% 0.55/0.70  % (17044)Time elapsed: 0.003 s
% 0.55/0.70  % (17044)Instructions burned: 2 (million)
% 0.55/0.70  % (17044)------------------------------
% 0.55/0.70  % (17044)------------------------------
% 0.55/0.70  % (17049)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)
% 0.55/0.70  % (17049)Refutation not found, incomplete strategy% (17049)------------------------------
% 0.55/0.70  % (17049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.70  % (17049)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.70  
% 0.55/0.70  % (17049)Memory used [KB]: 1143
% 0.55/0.70  % (17049)Time elapsed: 0.002 s
% 0.55/0.70  % (17049)Instructions burned: 2 (million)
% 0.55/0.70  % (17049)------------------------------
% 0.55/0.70  % (17049)------------------------------
% 0.55/0.70  % (17046)First to succeed.
% 0.55/0.70  % (17047)Also succeeded, but the first one will report.
% 0.55/0.70  % (17046)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17040"
% 0.55/0.70  % (17050)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.70  % (17046)Refutation found. Thanks to Tanya!
% 0.55/0.70  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.70  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.70  % (17046)------------------------------
% 0.55/0.70  % (17046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.70  % (17046)Termination reason: Refutation
% 0.55/0.70  
% 0.55/0.70  % (17046)Memory used [KB]: 1201
% 0.55/0.70  % (17046)Time elapsed: 0.007 s
% 0.55/0.70  % (17046)Instructions burned: 7 (million)
% 0.55/0.70  % (17040)Success in time 0.38 s
% 0.55/0.70  % Vampire---4.8 exiting
%------------------------------------------------------------------------------