TSTP Solution File: SET085-6 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET085-6 : 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 : n024.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 09:03:45 EDT 2024

% Result   : Unsatisfiable 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   18 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   5   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f111,plain,
    $false,
    inference(subsumption_resolution,[],[f110,f95]) ).

fof(f95,axiom,
    z != x,
    file('/export/starexec/sandbox2/tmp/tmp.DdWL7oYEsw/Vampire---4.8_22898',prove_singleton_in_unordered_pair3_4) ).

fof(f110,plain,
    z = x,
    inference(subsumption_resolution,[],[f107,f94]) ).

fof(f94,axiom,
    y != x,
    file('/export/starexec/sandbox2/tmp/tmp.DdWL7oYEsw/Vampire---4.8_22898',prove_singleton_in_unordered_pair3_3) ).

fof(f107,plain,
    ( y = x
    | z = x ),
    inference(resolution,[],[f8,f103]) ).

fof(f103,plain,
    member(x,unordered_pair(y,z)),
    inference(subsumption_resolution,[],[f102,f93]) ).

fof(f93,axiom,
    member(x,universal_class),
    file('/export/starexec/sandbox2/tmp/tmp.DdWL7oYEsw/Vampire---4.8_22898',prove_singleton_in_unordered_pair3_2) ).

fof(f102,plain,
    ( member(x,unordered_pair(y,z))
    | ~ member(x,universal_class) ),
    inference(superposition,[],[f9,f97]) ).

fof(f97,plain,
    unordered_pair(y,z) = unordered_pair(x,x),
    inference(definition_unfolding,[],[f92,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/tmp/tmp.DdWL7oYEsw/Vampire---4.8_22898',singleton_set) ).

fof(f92,axiom,
    unordered_pair(y,z) = singleton(x),
    file('/export/starexec/sandbox2/tmp/tmp.DdWL7oYEsw/Vampire---4.8_22898',prove_singleton_in_unordered_pair3_1) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.DdWL7oYEsw/Vampire---4.8_22898',unordered_pair2) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.DdWL7oYEsw/Vampire---4.8_22898',unordered_pair_member) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SET085-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15  % 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
% 0.14/0.37  % Computer : n024.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Fri May  3 16:39:08 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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.DdWL7oYEsw/Vampire---4.8_22898
% 0.54/0.75  % (23009)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)
% 0.54/0.75  % (23012)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (23013)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)
% 0.54/0.75  % (23014)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)
% 0.54/0.75  % (23010)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)
% 0.54/0.75  % (23017)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)
% 0.54/0.76  % (23013)Also succeeded, but the first one will report.
% 0.54/0.76  % (23012)First to succeed.
% 0.54/0.76  % (23017)Refutation not found, incomplete strategy% (23017)------------------------------
% 0.54/0.76  % (23017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (23017)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (23017)Memory used [KB]: 1070
% 0.54/0.76  % (23017)Time elapsed: 0.003 s
% 0.54/0.76  % (23017)Instructions burned: 3 (million)
% 0.54/0.76  % (23012)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23008"
% 0.54/0.76  % (23017)------------------------------
% 0.54/0.76  % (23017)------------------------------
% 0.54/0.76  % (23009)Refutation not found, incomplete strategy% (23009)------------------------------
% 0.54/0.76  % (23009)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (23009)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76  
% 0.54/0.76  % (23009)Memory used [KB]: 1094
% 0.54/0.76  % (23009)Time elapsed: 0.003 s
% 0.54/0.76  % (23009)Instructions burned: 7 (million)
% 0.54/0.76  % (23012)Refutation found. Thanks to Tanya!
% 0.54/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76  % (23012)------------------------------
% 0.54/0.76  % (23012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (23012)Termination reason: Refutation
% 0.54/0.76  
% 0.54/0.76  % (23012)Memory used [KB]: 1080
% 0.54/0.76  % (23012)Time elapsed: 0.003 s
% 0.54/0.76  % (23012)Instructions burned: 3 (million)
% 0.54/0.76  % (23008)Success in time 0.374 s
% 0.54/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------