TSTP Solution File: SET865-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET865-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 09:08:55 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   32 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   33 (  18   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1453,plain,
    $false,
    inference(subsumption_resolution,[],[f1452,f1401]) ).

fof(f1401,plain,
    c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a)),
    inference(resolution,[],[f1398,f1362]) ).

fof(f1362,axiom,
    ! [X41] :
      ( ~ c_in(X41,v_S,tc_set(t_a))
      | c_in(v_x(X41),v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/tmp/tmp.RWLh4dI9On/Vampire---4.8_12457',cls_conjecture_1) ).

fof(f1398,plain,
    c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
    inference(resolution,[],[f1393,f1361]) ).

fof(f1361,axiom,
    ! [X41] :
      ( ~ c_in(X41,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
      | c_in(c_Union(X41,t_a),v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/tmp/tmp.RWLh4dI9On/Vampire---4.8_12457',cls_conjecture_0) ).

fof(f1393,plain,
    ! [X0,X1] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
    inference(resolution,[],[f1378,f1360]) ).

fof(f1360,axiom,
    ! [X40,X2] : c_lessequals(c_Zorn_Omaxchain(X40,X2),c_Zorn_Ochain(X40,X2),tc_set(tc_set(tc_set(X2)))),
    file('/export/starexec/sandbox/tmp/tmp.RWLh4dI9On/Vampire---4.8_12457',cls_Zorn_Omaxchain__subset__chain_0) ).

fof(f1378,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Zorn_Omaxchain(X0,X1),X2,tc_set(tc_set(tc_set(X1))))
      | c_in(c_Zorn_OHausdorff__1(X0,X1),X2,tc_set(tc_set(X1))) ),
    inference(resolution,[],[f306,f1358]) ).

fof(f1358,axiom,
    ! [X40,X2] : c_in(c_Zorn_OHausdorff__1(X40,X2),c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox/tmp/tmp.RWLh4dI9On/Vampire---4.8_12457',cls_Zorn_OHausdorff_0) ).

fof(f306,axiom,
    ! [X2,X34,X15,X13] :
      ( ~ c_in(X34,X13,X2)
      | ~ c_lessequals(X13,X15,tc_set(X2))
      | c_in(X34,X15,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.RWLh4dI9On/Vampire---4.8_12457',cls_Set_OsubsetD_0) ).

fof(f1452,plain,
    ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a)),v_S,tc_set(t_a)),
    inference(resolution,[],[f1440,f1398]) ).

fof(f1440,plain,
    ! [X0] :
      ( ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a))
      | ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a)) ),
    inference(subsumption_resolution,[],[f1436,f1364]) ).

fof(f1364,axiom,
    ! [X41] :
      ( ~ c_in(X41,v_S,tc_set(t_a))
      | v_x(X41) != X41 ),
    file('/export/starexec/sandbox/tmp/tmp.RWLh4dI9On/Vampire---4.8_12457',cls_conjecture_3) ).

fof(f1436,plain,
    ! [X0] :
      ( c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a))
      | ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
      | ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a)) ),
    inference(resolution,[],[f1404,f1363]) ).

fof(f1363,axiom,
    ! [X41] :
      ( c_lessequals(X41,v_x(X41),tc_set(t_a))
      | ~ c_in(X41,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox/tmp/tmp.RWLh4dI9On/Vampire---4.8_12457',cls_conjecture_2) ).

fof(f1404,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X0,X1),X1),X2,tc_set(X1))
      | c_Union(c_Zorn_OHausdorff__1(X0,X1),X1) = X2
      | ~ c_in(X2,X0,tc_set(X1)) ),
    inference(resolution,[],[f1359,f1358]) ).

fof(f1359,axiom,
    ! [X40,X2,X38,X34] :
      ( ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(c_Union(X34,X2),X38,tc_set(X2))
      | c_Union(X34,X2) = X38
      | ~ c_in(X38,X40,tc_set(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.RWLh4dI9On/Vampire---4.8_12457',cls_Zorn_Omaxchain__Zorn_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SET865-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13  % 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
% 0.11/0.33  % Computer : n006.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 17:02:38 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.11/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.34  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.RWLh4dI9On/Vampire---4.8_12457
% 0.56/0.75  % (12565)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)
% 0.56/0.75  % (12568)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)
% 0.56/0.75  % (12567)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.75  % (12570)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)
% 0.56/0.75  % (12569)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)
% 0.56/0.75  % (12566)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)
% 0.56/0.75  % (12572)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)
% 0.56/0.75  % (12571)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)
% 0.56/0.75  % (12572)Refutation not found, incomplete strategy% (12572)------------------------------
% 0.56/0.75  % (12572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (12572)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12572)Memory used [KB]: 1731
% 0.56/0.75  % (12572)Time elapsed: 0.004 s
% 0.56/0.75  % (12568)Refutation not found, incomplete strategy% (12568)------------------------------
% 0.56/0.75  % (12568)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (12572)Instructions burned: 5 (million)
% 0.56/0.75  % (12570)Refutation not found, incomplete strategy% (12570)------------------------------
% 0.56/0.75  % (12570)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (12568)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12568)Memory used [KB]: 1719
% 0.56/0.75  % (12568)Time elapsed: 0.004 s
% 0.56/0.75  % (12568)Instructions burned: 5 (million)
% 0.56/0.75  % (12570)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12570)Memory used [KB]: 1731
% 0.56/0.75  % (12570)Time elapsed: 0.004 s
% 0.56/0.75  % (12570)Instructions burned: 5 (million)
% 0.56/0.75  % (12572)------------------------------
% 0.56/0.75  % (12572)------------------------------
% 0.56/0.75  % (12568)------------------------------
% 0.56/0.75  % (12568)------------------------------
% 0.56/0.75  % (12570)------------------------------
% 0.56/0.75  % (12570)------------------------------
% 0.56/0.75  % (12565)Refutation not found, incomplete strategy% (12565)------------------------------
% 0.56/0.75  % (12565)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (12565)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12565)Memory used [KB]: 1776
% 0.56/0.75  % (12565)Time elapsed: 0.005 s
% 0.56/0.75  % (12565)Instructions burned: 10 (million)
% 0.56/0.75  % (12565)------------------------------
% 0.56/0.75  % (12565)------------------------------
% 0.56/0.76  % (12575)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.56/0.76  % (12574)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 (2995ds/50Mi)
% 0.56/0.76  % (12573)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 (2995ds/55Mi)
% 0.56/0.76  % (12567)First to succeed.
% 0.56/0.76  % (12567)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12564"
% 0.56/0.76  % (12567)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76  % (12567)------------------------------
% 0.56/0.76  % (12567)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (12567)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (12567)Memory used [KB]: 1838
% 0.56/0.76  % (12567)Time elapsed: 0.009 s
% 0.56/0.76  % (12567)Instructions burned: 14 (million)
% 0.56/0.76  % (12564)Success in time 0.413 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------