TSTP Solution File: SET093+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET093+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 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 : n025.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 : Tue May 21 03:08:45 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   21 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   6   ~;   0   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f284,plain,
    $false,
    inference(resolution,[],[f283,f235]) ).

fof(f235,plain,
    ~ member(sK6,universal_class),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ( ~ member(sK6,universal_class)
    & sK6 = singleton(member_of(sK6)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f92,f141]) ).

fof(f141,plain,
    ( ? [X0] :
        ( ~ member(X0,universal_class)
        & singleton(member_of(X0)) = X0 )
   => ( ~ member(sK6,universal_class)
      & sK6 = singleton(member_of(sK6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ? [X0] :
      ( ~ member(X0,universal_class)
      & singleton(member_of(X0)) = X0 ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ! [X0] :
        ( singleton(member_of(X0)) = X0
       => member(X0,universal_class) ),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ! [X0] :
      ( singleton(member_of(X0)) = X0
     => member(X0,universal_class) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).

fof(f283,plain,
    member(sK6,universal_class),
    inference(superposition,[],[f154,f276]) ).

fof(f276,plain,
    sK6 = unordered_pair(member_of(sK6),member_of(sK6)),
    inference(definition_unfolding,[],[f234,f155]) ).

fof(f155,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).

fof(f234,plain,
    sK6 = singleton(member_of(sK6)),
    inference(cnf_transformation,[],[f142]) ).

fof(f154,plain,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET093+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.07/0.14  % 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
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon May 20 11:39:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.53/0.75  % (9650)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 theBenchmark for (2996ds/83Mi)
% 0.53/0.75  % (9650)Refutation not found, incomplete strategy% (9650)------------------------------
% 0.53/0.75  % (9650)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (9650)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.75  
% 0.53/0.75  % (9650)Memory used [KB]: 1046
% 0.53/0.75  % (9650)Time elapsed: 0.002 s
% 0.53/0.75  % (9650)Instructions burned: 2 (million)
% 0.53/0.75  % (9644)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 theBenchmark for (2996ds/34Mi)
% 0.53/0.76  % (9645)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 theBenchmark for (2996ds/51Mi)
% 0.53/0.76  % (9647)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.53/0.76  % (9646)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.53/0.76  % (9650)------------------------------
% 0.53/0.76  % (9650)------------------------------
% 0.53/0.76  % (9648)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 theBenchmark for (2996ds/34Mi)
% 0.53/0.76  % (9649)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.53/0.76  % (9649)Refutation not found, incomplete strategy% (9649)------------------------------
% 0.53/0.76  % (9649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.76  % (9647)Refutation not found, incomplete strategy% (9647)------------------------------
% 0.53/0.76  % (9647)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.76  % (9649)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.76  
% 0.53/0.76  % (9647)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.76  
% 0.53/0.76  % (9649)Memory used [KB]: 1046
% 0.53/0.76  % (9647)Memory used [KB]: 1046
% 0.53/0.76  % (9649)Time elapsed: 0.003 s
% 0.53/0.76  % (9647)Time elapsed: 0.003 s
% 0.53/0.76  % (9649)Instructions burned: 2 (million)
% 0.53/0.76  % (9647)Instructions burned: 2 (million)
% 0.53/0.76  % (9649)------------------------------
% 0.53/0.76  % (9649)------------------------------
% 0.53/0.76  % (9647)------------------------------
% 0.53/0.76  % (9647)------------------------------
% 0.53/0.76  % (9655)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 theBenchmark for (2996ds/55Mi)
% 0.60/0.76  % (9655)Refutation not found, incomplete strategy% (9655)------------------------------
% 0.60/0.76  % (9655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (9655)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (9655)Memory used [KB]: 1048
% 0.60/0.76  % (9655)Time elapsed: 0.001 s
% 0.60/0.76  % (9655)Instructions burned: 2 (million)
% 0.60/0.76  % (9655)------------------------------
% 0.60/0.76  % (9655)------------------------------
% 0.60/0.76  % (9645)First to succeed.
% 0.60/0.76  % (9644)Refutation not found, incomplete strategy% (9644)------------------------------
% 0.60/0.76  % (9644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (9644)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (9644)Memory used [KB]: 1075
% 0.60/0.76  % (9644)Time elapsed: 0.006 s
% 0.60/0.76  % (9644)Instructions burned: 9 (million)
% 0.60/0.76  % (9645)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9515"
% 0.60/0.76  % (9644)------------------------------
% 0.60/0.76  % (9644)------------------------------
% 0.60/0.76  % (9645)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for theBenchmark
% 0.60/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.76  % (9645)------------------------------
% 0.60/0.76  % (9645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (9645)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (9645)Memory used [KB]: 1173
% 0.60/0.76  % (9645)Time elapsed: 0.006 s
% 0.60/0.76  % (9645)Instructions burned: 8 (million)
% 0.60/0.76  % (9515)Success in time 0.392 s
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------