TSTP Solution File: SET851-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET851-1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n008.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 09:08:48 EDT 2024

% Result   : Unsatisfiable 0.69s 0.89s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   30 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  10   |;   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; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1397,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1376,f1385,f1396]) ).

fof(f1396,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f1395]) ).

fof(f1395,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1390,f310]) ).

fof(f310,axiom,
    ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
    file('/export/starexec/sandbox2/tmp/tmp.pPaqiNOBbM/Vampire---4.8_20092',cls_Set_Osubset__refl_0) ).

fof(f1390,plain,
    ( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a)))
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f1365,f1387]) ).

fof(f1387,plain,
    ( v_m = v_x
    | ~ spl0_2 ),
    inference(unit_resulting_resolution,[],[f1375,f1363,f1364,f1367]) ).

fof(f1367,axiom,
    ! [X41] :
      ( v_m = X41
      | ~ c_lessequals(X41,v_m,tc_set(tc_set(t_a)))
      | ~ c_in(X41,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X41,t_a),v_m,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/tmp/tmp.pPaqiNOBbM/Vampire---4.8_20092',cls_conjecture_5) ).

fof(f1364,axiom,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/tmp/tmp.pPaqiNOBbM/Vampire---4.8_20092',cls_conjecture_2) ).

fof(f1363,axiom,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/tmp/tmp.pPaqiNOBbM/Vampire---4.8_20092',cls_conjecture_1) ).

fof(f1375,plain,
    ( c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1373,plain,
    ( spl0_2
  <=> c_lessequals(v_x,v_m,tc_set(tc_set(t_a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1365,axiom,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/tmp/tmp.pPaqiNOBbM/Vampire---4.8_20092',cls_conjecture_3) ).

fof(f1385,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f1383,f1369]) ).

fof(f1369,plain,
    ( spl0_1
  <=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1383,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))),
    inference(resolution,[],[f1361,f1365]) ).

fof(f1361,axiom,
    ! [X40,X2,X0,X23] :
      ( c_lessequals(X0,c_Zorn_Osucc(X40,X23,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X0,X23,tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.pPaqiNOBbM/Vampire---4.8_20092',cls_Zorn_Osucc__trans_0) ).

fof(f1376,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1366,f1373,f1369]) ).

fof(f1366,axiom,
    ( c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/tmp/tmp.pPaqiNOBbM/Vampire---4.8_20092',cls_conjecture_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET851-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n008.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   : Fri May  3 16:45:53 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.pPaqiNOBbM/Vampire---4.8_20092
% 0.69/0.88  % (20324)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 (2994ds/34Mi)
% 0.69/0.88  % (20326)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.69/0.88  % (20325)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 (2994ds/51Mi)
% 0.69/0.88  % (20327)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.69/0.88  % (20328)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 (2994ds/34Mi)
% 0.69/0.88  % (20329)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.69/0.88  % (20330)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 (2994ds/83Mi)
% 0.69/0.88  % (20331)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 (2994ds/56Mi)
% 0.69/0.88  % (20327)First to succeed.
% 0.69/0.88  % (20326)Also succeeded, but the first one will report.
% 0.69/0.88  % (20329)Also succeeded, but the first one will report.
% 0.69/0.88  % (20327)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20256"
% 0.69/0.88  % (20331)Refutation not found, incomplete strategy% (20331)------------------------------
% 0.69/0.88  % (20331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (20331)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (20331)Memory used [KB]: 1735
% 0.69/0.88  % (20331)Time elapsed: 0.004 s
% 0.69/0.88  % (20331)Instructions burned: 5 (million)
% 0.69/0.89  % (20331)------------------------------
% 0.69/0.89  % (20331)------------------------------
% 0.69/0.89  % (20327)Refutation found. Thanks to Tanya!
% 0.69/0.89  % SZS status Unsatisfiable for Vampire---4
% 0.69/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 0.69/0.89  % (20327)------------------------------
% 0.69/0.89  % (20327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.89  % (20327)Termination reason: Refutation
% 0.69/0.89  
% 0.69/0.89  % (20327)Memory used [KB]: 1770
% 0.69/0.89  % (20327)Time elapsed: 0.005 s
% 0.69/0.89  % (20327)Instructions burned: 7 (million)
% 0.69/0.89  % (20256)Success in time 0.513 s
% 0.69/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------