TSTP Solution File: SEU424+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n021.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 03:53:10 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   6 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   69 (  27   ~;  12   |;  20   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-4 aty)
%            Number of variables   :   42 (  26   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f131,plain,
    $false,
    inference(subsumption_resolution,[],[f130,f82]) ).

fof(f82,plain,
    m1_subset_1(sK2,k1_zfmisc_1(sK0)),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ( ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
    & m2_relset_1(sK3,sK0,sK1)
    & m1_subset_1(sK2,k1_zfmisc_1(sK0))
    & ~ v1_xboole_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f46,f64,f63,f62]) ).

fof(f62,plain,
    ( ? [X0] :
        ( ? [X1,X2] :
            ( ? [X3] :
                ( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
                & m2_relset_1(X3,X0,X1) )
            & m1_subset_1(X2,k1_zfmisc_1(X0)) )
        & ~ v1_xboole_0(X0) )
   => ( ? [X2,X1] :
          ( ? [X3] :
              ( ~ m1_subset_1(a_4_0_relset_2(sK0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
              & m2_relset_1(X3,sK0,X1) )
          & m1_subset_1(X2,k1_zfmisc_1(sK0)) )
      & ~ v1_xboole_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f63,plain,
    ( ? [X2,X1] :
        ( ? [X3] :
            ( ~ m1_subset_1(a_4_0_relset_2(sK0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
            & m2_relset_1(X3,sK0,X1) )
        & m1_subset_1(X2,k1_zfmisc_1(sK0)) )
   => ( ? [X3] :
          ( ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,X3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
          & m2_relset_1(X3,sK0,sK1) )
      & m1_subset_1(sK2,k1_zfmisc_1(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ( ? [X3] :
        ( ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,X3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
        & m2_relset_1(X3,sK0,sK1) )
   => ( ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
      & m2_relset_1(sK3,sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ? [X0] :
      ( ? [X1,X2] :
          ( ? [X3] :
              ( ~ m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
              & m2_relset_1(X3,X0,X1) )
          & m1_subset_1(X2,k1_zfmisc_1(X0)) )
      & ~ v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ~ v1_xboole_0(X0)
       => ! [X1,X2] :
            ( m1_subset_1(X2,k1_zfmisc_1(X0))
           => ! [X3] :
                ( m2_relset_1(X3,X0,X1)
               => m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ! [X1,X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(X0))
         => ! [X3] :
              ( m2_relset_1(X3,X0,X1)
             => m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.o0kxf16TT0/Vampire---4.8_1840',t18_relset_2) ).

fof(f130,plain,
    ~ m1_subset_1(sK2,k1_zfmisc_1(sK0)),
    inference(resolution,[],[f123,f84]) ).

fof(f84,plain,
    ~ m1_subset_1(a_4_0_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
    inference(cnf_transformation,[],[f65]) ).

fof(f123,plain,
    ! [X0] :
      ( m1_subset_1(a_4_0_relset_2(sK0,sK1,X0,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(sK0)) ),
    inference(subsumption_resolution,[],[f118,f81]) ).

fof(f81,plain,
    ~ v1_xboole_0(sK0),
    inference(cnf_transformation,[],[f65]) ).

fof(f118,plain,
    ! [X0] :
      ( m1_subset_1(a_4_0_relset_2(sK0,sK1,X0,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
      | v1_xboole_0(sK0) ),
    inference(resolution,[],[f83,f90]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m2_relset_1(X3,X0,X1)
      | m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3] :
      ( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m2_relset_1(X3,X0,X1)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | v1_xboole_0(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3] :
      ( m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m2_relset_1(X3,X0,X1)
      | ~ m1_subset_1(X2,k1_zfmisc_1(X0))
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( ( m2_relset_1(X3,X0,X1)
        & m1_subset_1(X2,k1_zfmisc_1(X0))
        & ~ v1_xboole_0(X0) )
     => m1_subset_1(a_4_0_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.o0kxf16TT0/Vampire---4.8_1840',s8_domain_1__e1_22__relset_2) ).

fof(f83,plain,
    m2_relset_1(sK3,sK0,sK1),
    inference(cnf_transformation,[],[f65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15  % 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
% 0.15/0.37  % Computer : n021.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Apr 30 16:21:56 EDT 2024
% 0.21/0.37  % CPUTime    : 
% 0.21/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.21/0.37  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.o0kxf16TT0/Vampire---4.8_1840
% 0.56/0.75  % (2238)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)
% 0.56/0.76  % (2233)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (2231)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)
% 0.56/0.76  % (2232)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)
% 0.56/0.76  % (2234)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)
% 0.56/0.76  % (2236)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)
% 0.56/0.76  % (2235)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)
% 0.56/0.76  % (2237)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)
% 0.56/0.76  % (2238)First to succeed.
% 0.58/0.76  % (2238)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (2238)------------------------------
% 0.58/0.76  % (2238)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76  % (2238)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (2238)Memory used [KB]: 1061
% 0.58/0.76  % (2238)Time elapsed: 0.003 s
% 0.58/0.76  % (2238)Instructions burned: 4 (million)
% 0.58/0.76  % (2238)------------------------------
% 0.58/0.76  % (2238)------------------------------
% 0.58/0.76  % (2096)Success in time 0.379 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------