TSTP Solution File: SET848-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET848-2 : 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 : n018.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 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   21 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  13   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f2]) ).

fof(f2,axiom,
    ! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
    file('/export/starexec/sandbox/tmp/tmp.oyKhXfKkEf/Vampire---4.8_7382',cls_Set_Osubset__refl_0) ).

fof(f12,plain,
    ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
    inference(resolution,[],[f11,f3]) ).

fof(f3,axiom,
    ! [X2,X4,X5] :
      ( c_in(c_Union(X4,tc_set(X2)),c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X4,c_Zorn_OTFin(X5,X2),tc_set(tc_set(tc_set(X2)))) ),
    file('/export/starexec/sandbox/tmp/tmp.oyKhXfKkEf/Vampire---4.8_7382',cls_Zorn_OTFin__UnionI_0) ).

fof(f11,plain,
    ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(resolution,[],[f10,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X5] :
      ( c_in(X0,c_Zorn_Ochain(X5,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X5,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.oyKhXfKkEf/Vampire---4.8_7382',cls_Zorn_OTFin__chain__lemma4_0) ).

fof(f10,plain,
    ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
    inference(subsumption_resolution,[],[f9,f7]) ).

fof(f7,axiom,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
    file('/export/starexec/sandbox/tmp/tmp.oyKhXfKkEf/Vampire---4.8_7382',cls_conjecture_1) ).

fof(f9,plain,
    ( c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)
    | ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f8,f6]) ).

fof(f6,axiom,
    ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.oyKhXfKkEf/Vampire---4.8_7382',cls_conjecture_0) ).

fof(f8,plain,
    ! [X2,X0,X1] :
      ( c_in(X1,c_Zorn_Omaxchain(X0,X2),tc_set(tc_set(X2)))
      | c_Zorn_Osucc(X0,X1,X2) != X1
      | ~ c_in(X1,c_Zorn_Ochain(X0,X2),tc_set(tc_set(X2))) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
      | c_in(X0,X3,X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.oyKhXfKkEf/Vampire---4.8_7382',cls_Set_ODiffI_0) ).

fof(f5,axiom,
    ! [X2,X0,X5] :
      ( ~ c_in(X0,c_minus(c_Zorn_Ochain(X5,X2),c_Zorn_Omaxchain(X5,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))
      | c_Zorn_Osucc(X5,X0,X2) != X0 ),
    file('/export/starexec/sandbox/tmp/tmp.oyKhXfKkEf/Vampire---4.8_7382',cls_Zorn_Osucc__not__equals_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SET848-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % 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 : n018.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 16:34:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  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.oyKhXfKkEf/Vampire---4.8_7382
% 0.57/0.75  % (7717)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)
% 0.57/0.75  % (7720)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)
% 0.57/0.75  % (7721)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)
% 0.57/0.75  % (7719)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (7717)Refutation not found, incomplete strategy% (7717)------------------------------
% 0.57/0.75  % (7717)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (7717)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (7722)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)
% 0.57/0.75  % (7717)Memory used [KB]: 966
% 0.57/0.75  % (7717)Time elapsed: 0.002 s
% 0.57/0.75  % (7717)Instructions burned: 2 (million)
% 0.57/0.76  % (7720)Refutation not found, incomplete strategy% (7720)------------------------------
% 0.57/0.76  % (7720)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7720)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  % (7717)------------------------------
% 0.57/0.76  % (7717)------------------------------
% 0.57/0.76  
% 0.57/0.76  % (7720)Memory used [KB]: 946
% 0.57/0.76  % (7720)Time elapsed: 0.003 s
% 0.57/0.76  % (7720)Instructions burned: 2 (million)
% 0.57/0.76  % (7721)Refutation not found, incomplete strategy% (7721)------------------------------
% 0.57/0.76  % (7721)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7721)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7721)Memory used [KB]: 965
% 0.57/0.76  % (7721)Time elapsed: 0.003 s
% 0.57/0.76  % (7721)Instructions burned: 2 (million)
% 0.57/0.76  % (7720)------------------------------
% 0.57/0.76  % (7720)------------------------------
% 0.57/0.76  % (7722)Refutation not found, incomplete strategy% (7722)------------------------------
% 0.57/0.76  % (7722)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7722)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (7722)Memory used [KB]: 950
% 0.57/0.76  % (7722)Time elapsed: 0.002 s
% 0.57/0.76  % (7721)------------------------------
% 0.57/0.76  % (7721)------------------------------
% 0.57/0.76  % (7722)Instructions burned: 2 (million)
% 0.57/0.76  % (7722)------------------------------
% 0.57/0.76  % (7722)------------------------------
% 0.57/0.76  % (7718)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)
% 0.57/0.76  % (7719)First to succeed.
% 0.57/0.76  % (7723)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)
% 0.57/0.76  % (7719)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7626"
% 0.57/0.76  % (7724)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)
% 0.57/0.76  % (7719)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (7719)------------------------------
% 0.57/0.76  % (7719)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (7719)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (7719)Memory used [KB]: 963
% 0.57/0.76  % (7719)Time elapsed: 0.003 s
% 0.57/0.76  % (7719)Instructions burned: 3 (million)
% 0.57/0.76  % (7626)Success in time 0.385 s
% 0.62/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------