TSTP Solution File: SET587+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET587+3 : 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 : n029.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 03:48:09 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   41 (   3 unt;   0 def)
%            Number of atoms       :   92 (  11 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   81 (  30   ~;  38   |;   1   &)
%                                         (   8 <=>;   2  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   42 (  39   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f135,plain,
    $false,
    inference(avatar_sat_refutation,[],[f45,f46,f111,f134]) ).

fof(f134,plain,
    ( ~ spl5_1
    | spl5_2 ),
    inference(avatar_contradiction_clause,[],[f133]) ).

fof(f133,plain,
    ( $false
    | ~ spl5_1
    | spl5_2 ),
    inference(subsumption_resolution,[],[f132,f28]) ).

fof(f28,plain,
    ! [X0] : ~ member(X0,empty_set),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ member(X0,empty_set),
    file('/export/starexec/sandbox/tmp/tmp.LSWuc815h1/Vampire---4.8_11642',empty_set_defn) ).

fof(f132,plain,
    ( member(sK4(sK0,sK1),empty_set)
    | ~ spl5_1
    | spl5_2 ),
    inference(forward_demodulation,[],[f131,f39]) ).

fof(f39,plain,
    ( empty_set = difference(sK0,sK1)
    | ~ spl5_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl5_1
  <=> empty_set = difference(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f131,plain,
    ( member(sK4(sK0,sK1),difference(sK0,sK1))
    | spl5_2 ),
    inference(unit_resulting_resolution,[],[f112,f113,f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( member(X2,difference(X0,X1))
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( member(X2,difference(X0,X1))
    <=> ( ~ member(X2,X1)
        & member(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LSWuc815h1/Vampire---4.8_11642',difference_defn) ).

fof(f113,plain,
    ( ~ member(sK4(sK0,sK1),sK1)
    | spl5_2 ),
    inference(unit_resulting_resolution,[],[f44,f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ member(sK4(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.LSWuc815h1/Vampire---4.8_11642',subset_defn) ).

fof(f44,plain,
    ( ~ subset(sK0,sK1)
    | spl5_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl5_2
  <=> subset(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f112,plain,
    ( member(sK4(sK0,sK1),sK0)
    | spl5_2 ),
    inference(unit_resulting_resolution,[],[f44,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( member(sK4(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f111,plain,
    ( spl5_1
    | ~ spl5_2 ),
    inference(avatar_contradiction_clause,[],[f110]) ).

fof(f110,plain,
    ( $false
    | spl5_1
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f100,f83]) ).

fof(f83,plain,
    ( ~ member(sK3(empty_set,difference(sK0,sK1)),sK1)
    | spl5_1 ),
    inference(unit_resulting_resolution,[],[f60,f26]) ).

fof(f26,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f60,plain,
    ( member(sK3(empty_set,difference(sK0,sK1)),difference(sK0,sK1))
    | spl5_1 ),
    inference(unit_resulting_resolution,[],[f28,f40,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( member(sK3(X0,X1),X1)
      | member(sK3(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( member(X2,X0)
        <~> member(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X0)
        <=> member(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.LSWuc815h1/Vampire---4.8_11642',member_equal) ).

fof(f40,plain,
    ( empty_set != difference(sK0,sK1)
    | spl5_1 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f100,plain,
    ( member(sK3(empty_set,difference(sK0,sK1)),sK1)
    | spl5_1
    | ~ spl5_2 ),
    inference(unit_resulting_resolution,[],[f82,f47]) ).

fof(f47,plain,
    ( ! [X0] :
        ( member(X0,sK1)
        | ~ member(X0,sK0) )
    | ~ spl5_2 ),
    inference(resolution,[],[f43,f30]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f43,plain,
    ( subset(sK0,sK1)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f82,plain,
    ( member(sK3(empty_set,difference(sK0,sK1)),sK0)
    | spl5_1 ),
    inference(unit_resulting_resolution,[],[f60,f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,difference(X0,X1))
      | member(X2,X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f46,plain,
    ( spl5_1
    | spl5_2 ),
    inference(avatar_split_clause,[],[f14,f42,f38]) ).

fof(f14,plain,
    ( subset(sK0,sK1)
    | empty_set = difference(sK0,sK1) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,plain,
    ? [X0,X1] :
      ( difference(X0,X1) = empty_set
    <~> subset(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1] :
        ( difference(X0,X1) = empty_set
      <=> subset(X0,X1) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X1] :
      ( difference(X0,X1) = empty_set
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.LSWuc815h1/Vampire---4.8_11642',prove_difference_empty_set) ).

fof(f45,plain,
    ( ~ spl5_1
    | ~ spl5_2 ),
    inference(avatar_split_clause,[],[f15,f42,f38]) ).

fof(f15,plain,
    ( ~ subset(sK0,sK1)
    | empty_set != difference(sK0,sK1) ),
    inference(cnf_transformation,[],[f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET587+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15  % 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
% 0.16/0.36  % Computer : n029.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:31:50 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.LSWuc815h1/Vampire---4.8_11642
% 0.56/0.74  % (11759)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 (2996ds/83Mi)
% 0.56/0.75  % (11753)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)
% 0.56/0.75  % (11755)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (11754)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)
% 0.56/0.75  % (11756)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)
% 0.56/0.75  % (11759)First to succeed.
% 0.56/0.75  % (11759)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (11759)------------------------------
% 0.56/0.75  % (11759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (11759)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (11759)Memory used [KB]: 1065
% 0.56/0.75  % (11759)Time elapsed: 0.004 s
% 0.56/0.75  % (11759)Instructions burned: 6 (million)
% 0.56/0.75  % (11759)------------------------------
% 0.56/0.75  % (11759)------------------------------
% 0.56/0.75  % (11751)Success in time 0.377 s
% 0.56/0.75  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.56/0.75  11751 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.LSWuc815h1/Vampire---4.8_11642
% 0.56/0.75  % (11751)------------------------------
% 0.56/0.75  % (11751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (11751)Termination reason: Unknown
% 0.56/0.75  % (11751)Termination phase: Unknown
% 0.56/0.75  
% 0.56/0.75  % (11751)Memory used [KB]: 439
% 0.56/0.75  % (11751)Time elapsed: 0.377 s
% 0.56/0.75  % (11751)Instructions burned: 953 (million)
% 0.56/0.75  % (11751)------------------------------
% 0.56/0.75  % (11751)------------------------------
% 0.56/0.75  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  ???
% 0.56/0.75   ???
% 0.56/0.75    ???
% 0.56/0.75     ???
% 0.56/0.75      ???
% 0.56/0.75       ???
% 0.56/0.75        ???
% 0.56/0.75         ???
% 0.56/0.75          ???
% 0.56/0.75           ???
% 0.56/0.75            ???
% 0.56/0.75             ???
% 0.56/0.75              ???
% 0.56/0.75               ???
% 0.56/0.75                ???
% 0.56/0.75                 ???
% 0.56/0.75                  ???
% 0.56/0.75                   ???
% 0.56/0.75                    ???
% 0.56/0.75                     ???
% 0.56/0.75  % Exception at proof search level
% 0.56/0.75  System fail: Cannot decrease semaphore. error 43: Identifier removed
% 0.56/0.75  % Vampire---4.8 exiting
% 0.56/0.75  % Exception at proof search level
% 0.56/0.75  System fail: Cannot decrease semaphore. error 43: Identifier removed
%------------------------------------------------------------------------------