TSTP Solution File: SET845-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET845-1 : 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 : n032.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 : Wed May  1 03:49:13 EDT 2024

% Result   : Unsatisfiable 0.39s 0.59s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   22 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1391,plain,
    $false,
    inference(subsumption_resolution,[],[f1390,f1367]) ).

fof(f1367,axiom,
    v_m != c_Zorn_Osucc(v_S,v_m,t_a),
    file('/export/starexec/sandbox/tmp/tmp.Y4EsBKFRly/Vampire---4.8_11121',cls_conjecture_2) ).

fof(f1390,plain,
    v_m = c_Zorn_Osucc(v_S,v_m,t_a),
    inference(subsumption_resolution,[],[f1389,f1365]) ).

fof(f1365,axiom,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.Y4EsBKFRly/Vampire---4.8_11121',cls_conjecture_0) ).

fof(f1389,plain,
    ( ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
    inference(resolution,[],[f1376,f1361]) ).

fof(f1361,axiom,
    ! [X40,X2,X0] : c_lessequals(X0,c_Zorn_Osucc(X40,X0,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox/tmp/tmp.Y4EsBKFRly/Vampire---4.8_11121',cls_Zorn_OAbrial__axiom1_0) ).

fof(f1376,plain,
    ! [X0] :
      ( ~ c_lessequals(v_m,c_Zorn_Osucc(v_S,X0,t_a),tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | v_m = c_Zorn_Osucc(v_S,X0,t_a) ),
    inference(resolution,[],[f1373,f309]) ).

fof(f309,axiom,
    ! [X2,X15,X13] :
      ( ~ c_lessequals(X15,X13,tc_set(X2))
      | ~ c_lessequals(X13,X15,tc_set(X2))
      | X13 = X15 ),
    file('/export/starexec/sandbox/tmp/tmp.Y4EsBKFRly/Vampire---4.8_11121',cls_Set_Osubset__antisym_0) ).

fof(f1373,plain,
    ! [X0] :
      ( c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f1371,f1362]) ).

fof(f1362,axiom,
    ! [X40,X2,X0] :
      ( c_in(c_Zorn_Osucc(X40,X0,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_in(X0,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.Y4EsBKFRly/Vampire---4.8_11121',cls_Zorn_OTFin_OsuccI_0) ).

fof(f1371,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(X0,v_m,tc_set(tc_set(t_a))) ),
    inference(superposition,[],[f1360,f1366]) ).

fof(f1366,axiom,
    v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.Y4EsBKFRly/Vampire---4.8_11121',cls_conjecture_1) ).

fof(f1360,axiom,
    ! [X2,X15,X13] :
      ( c_lessequals(X15,c_Union(X13,X2),tc_set(X2))
      | ~ c_in(X15,X13,tc_set(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.Y4EsBKFRly/Vampire---4.8_11121',cls_Set_OUnion__upper_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : SET845-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10  % 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
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Apr 30 17:19:06 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.09/0.29  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.Y4EsBKFRly/Vampire---4.8_11121
% 0.39/0.58  % (11371)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.39/0.58  % (11374)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 (2997ds/83Mi)
% 0.39/0.58  % (11373)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.39/0.58  % (11375)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 (2997ds/56Mi)
% 0.39/0.58  % (11368)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 (2997ds/34Mi)
% 0.39/0.58  % (11372)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 (2997ds/34Mi)
% 0.39/0.58  % (11369)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 (2997ds/51Mi)
% 0.39/0.59  % (11370)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.39/0.59  % (11375)Refutation not found, incomplete strategy% (11375)------------------------------
% 0.39/0.59  % (11375)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.39/0.59  % (11375)Termination reason: Refutation not found, incomplete strategy
% 0.39/0.59  
% 0.39/0.59  % (11375)Memory used [KB]: 1718
% 0.39/0.59  % (11375)Time elapsed: 0.003 s
% 0.39/0.59  % (11375)Instructions burned: 5 (million)
% 0.39/0.59  % (11375)------------------------------
% 0.39/0.59  % (11375)------------------------------
% 0.39/0.59  % (11373)First to succeed.
% 0.39/0.59  % (11373)Refutation found. Thanks to Tanya!
% 0.39/0.59  % SZS status Unsatisfiable for Vampire---4
% 0.39/0.59  % SZS output start Proof for Vampire---4
% See solution above
% 0.39/0.59  % (11373)------------------------------
% 0.39/0.59  % (11373)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.39/0.59  % (11373)Termination reason: Refutation
% 0.39/0.59  
% 0.39/0.59  % (11373)Memory used [KB]: 1758
% 0.39/0.59  % (11373)Time elapsed: 0.004 s
% 0.39/0.59  % (11373)Instructions burned: 7 (million)
% 0.39/0.59  % (11373)------------------------------
% 0.39/0.59  % (11373)------------------------------
% 0.39/0.59  % (11364)Success in time 0.291 s
% 0.39/0.59  % Vampire---4.8 exiting
%------------------------------------------------------------------------------