TSTP Solution File: SET705+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET705+4 : TPTP v8.1.2. Released v2.2.0.
% 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 : n006.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 09:08:05 EDT 2024

% Result   : Theorem 0.53s 0.74s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   8 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   54 (  22   ~;  16   |;   9   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   39 (  34   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(resolution,[],[f34,f24]) ).

fof(f24,plain,
    ~ member(sK0,power_set(sK0)),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ~ member(sK0,power_set(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f17]) ).

fof(f17,plain,
    ( ? [X0] : ~ member(X0,power_set(X0))
   => ~ member(sK0,power_set(sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ? [X0] : ~ member(X0,power_set(X0)),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0] : member(X0,power_set(X0)),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [X0] : member(X0,power_set(X0)),
    file('/export/starexec/sandbox/tmp/tmp.oyN8a209QE/Vampire---4.8_3152',thI48) ).

fof(f34,plain,
    ! [X0] : member(X0,power_set(X0)),
    inference(resolution,[],[f32,f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( member(X0,power_set(X1))
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ~ member(X0,power_set(X1)) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
    <=> subset(X0,X1) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X0] :
      ( member(X2,power_set(X0))
    <=> subset(X2,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.oyN8a209QE/Vampire---4.8_3152',power_set) ).

fof(f32,plain,
    ! [X0] : subset(X0,X0),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ! [X0] :
      ( subset(X0,X0)
      | subset(X0,X0) ),
    inference(resolution,[],[f29,f28]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK1(X0,X1),X1)
          & member(sK1(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ member(X2,X1)
          & member(X2,X0) )
     => ( ~ member(sK1(X0,X1),X1)
        & member(sK1(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oyN8a209QE/Vampire---4.8_3152',subset) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ member(sK1(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SET705+4 : TPTP v8.1.2. Released v2.2.0.
% 0.09/0.10  % 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
% 0.09/0.30  % Computer : n006.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Fri May  3 16:25:52 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a FOF_THM_RFO_SEQ problem
% 0.09/0.30  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.oyN8a209QE/Vampire---4.8_3152
% 0.53/0.74  % (3262)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.53/0.74  % (3260)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 (2995ds/34Mi)
% 0.53/0.74  % (3263)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.53/0.74  % (3264)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 (2995ds/34Mi)
% 0.53/0.74  % (3265)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.53/0.74  % (3266)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 (2995ds/83Mi)
% 0.53/0.74  % (3263)Refutation not found, incomplete strategy% (3263)------------------------------
% 0.53/0.74  % (3263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3260)Refutation not found, incomplete strategy% (3260)------------------------------
% 0.53/0.74  % (3260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3260)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3260)Memory used [KB]: 953
% 0.53/0.74  % (3260)Time elapsed: 0.002 s
% 0.53/0.74  % (3260)Instructions burned: 2 (million)
% 0.53/0.74  % (3263)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3263)Memory used [KB]: 953
% 0.53/0.74  % (3263)Time elapsed: 0.002 s
% 0.53/0.74  % (3263)Instructions burned: 2 (million)
% 0.53/0.74  % (3260)------------------------------
% 0.53/0.74  % (3260)------------------------------
% 0.53/0.74  % (3261)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 (2995ds/51Mi)
% 0.53/0.74  % (3263)------------------------------
% 0.53/0.74  % (3263)------------------------------
% 0.53/0.74  % (3265)Refutation not found, incomplete strategy% (3265)------------------------------
% 0.53/0.74  % (3265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3265)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3265)Memory used [KB]: 974
% 0.53/0.74  % (3267)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 (2995ds/56Mi)
% 0.53/0.74  % (3265)Time elapsed: 0.002 s
% 0.53/0.74  % (3265)Instructions burned: 2 (million)
% 0.53/0.74  % (3262)First to succeed.
% 0.53/0.74  % (3266)Also succeeded, but the first one will report.
% 0.53/0.74  % (3265)------------------------------
% 0.53/0.74  % (3265)------------------------------
% 0.53/0.74  % (3264)Refutation not found, incomplete strategy% (3264)------------------------------
% 0.53/0.74  % (3264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3264)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3264)Memory used [KB]: 1048
% 0.53/0.74  % (3264)Time elapsed: 0.003 s
% 0.53/0.74  % (3264)Instructions burned: 3 (million)
% 0.53/0.74  % (3262)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3259"
% 0.53/0.74  % (3264)------------------------------
% 0.53/0.74  % (3264)------------------------------
% 0.53/0.74  % (3267)Refutation not found, incomplete strategy% (3267)------------------------------
% 0.53/0.74  % (3267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3267)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.74  
% 0.53/0.74  % (3267)Memory used [KB]: 959
% 0.53/0.74  % (3267)Time elapsed: 0.002 s
% 0.53/0.74  % (3267)Instructions burned: 2 (million)
% 0.53/0.74  % (3267)------------------------------
% 0.53/0.74  % (3267)------------------------------
% 0.53/0.74  % (3262)Refutation found. Thanks to Tanya!
% 0.53/0.74  % SZS status Theorem for Vampire---4
% 0.53/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.74  % (3262)------------------------------
% 0.53/0.74  % (3262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (3262)Termination reason: Refutation
% 0.53/0.74  
% 0.53/0.74  % (3262)Memory used [KB]: 984
% 0.53/0.74  % (3262)Time elapsed: 0.003 s
% 0.53/0.74  % (3262)Instructions burned: 3 (million)
% 0.53/0.74  % (3259)Success in time 0.437 s
% 0.53/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------