TSTP Solution File: SET098-7 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET098-7 : 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 : 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 03:45:01 EDT 2024

% Result   : Unsatisfiable 0.46s 0.65s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   11 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f317,plain,
    $false,
    inference(subsumption_resolution,[],[f316,f223]) ).

fof(f223,plain,
    ! [X0] : ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(X0,x)),
    inference(unit_resulting_resolution,[],[f142,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.0QRj1NJYaK/Vampire---4.8_16650',intersection2) ).

fof(f142,axiom,
    ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
    file('/export/starexec/sandbox2/tmp/tmp.0QRj1NJYaK/Vampire---4.8_16650',prove_corollary_1_to_number_of_elements_in_class_1) ).

fof(f316,plain,
    member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)),
    inference(unit_resulting_resolution,[],[f144,f143,f141]) ).

fof(f141,axiom,
    ! [X0] :
      ( null_class = X0
      | singleton(not_subclass_element(X0,null_class)) = X0
      | member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.0QRj1NJYaK/Vampire---4.8_16650',number_of_elements_in_class) ).

fof(f143,axiom,
    x != singleton(not_subclass_element(x,null_class)),
    file('/export/starexec/sandbox2/tmp/tmp.0QRj1NJYaK/Vampire---4.8_16650',prove_corollary_1_to_number_of_elements_in_class_2) ).

fof(f144,axiom,
    null_class != x,
    file('/export/starexec/sandbox2/tmp/tmp.0QRj1NJYaK/Vampire---4.8_16650',prove_corollary_1_to_number_of_elements_in_class_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem    : SET098-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.09  % 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
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit   : 300
% 0.08/0.27  % WCLimit    : 300
% 0.08/0.27  % DateTime   : Tue Apr 30 17:20:21 EDT 2024
% 0.08/0.27  % CPUTime    : 
% 0.08/0.27  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.08/0.28  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.0QRj1NJYaK/Vampire---4.8_16650
% 0.46/0.64  % (16900)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)
% 0.46/0.64  % (16902)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.64  % (16901)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)
% 0.46/0.64  % (16903)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)
% 0.46/0.64  % (16904)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)
% 0.46/0.64  % (16905)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)
% 0.46/0.64  % (16907)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)
% 0.46/0.64  % (16903)First to succeed.
% 0.46/0.65  % (16903)Refutation found. Thanks to Tanya!
% 0.46/0.65  % SZS status Unsatisfiable for Vampire---4
% 0.46/0.65  % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.65  % (16903)------------------------------
% 0.46/0.65  % (16903)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.65  % (16903)Termination reason: Refutation
% 0.46/0.65  
% 0.46/0.65  % (16903)Memory used [KB]: 1179
% 0.46/0.65  % (16903)Time elapsed: 0.007 s
% 0.46/0.65  % (16903)Instructions burned: 11 (million)
% 0.46/0.65  % (16903)------------------------------
% 0.46/0.65  % (16903)------------------------------
% 0.46/0.65  % (16852)Success in time 0.359 s
% 0.46/0.65  % Vampire---4.8 exiting
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