TSTP Solution File: SEU429+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU429+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 : 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 03:53:15 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% 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(f140,plain,
    $false,
    inference(subsumption_resolution,[],[f139,f94]) ).

fof(f94,plain,
    m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( ~ m1_subset_1(a_4_1_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(k1_zfmisc_1(sK0)))
    & ~ v1_xboole_0(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f76,f75,f74]) ).

fof(f74,plain,
    ( ? [X0] :
        ( ? [X1,X2] :
            ( ? [X3] :
                ( ~ m1_subset_1(a_4_1_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(k1_zfmisc_1(X0))) )
        & ~ v1_xboole_0(X0) )
   => ( ? [X2,X1] :
          ( ? [X3] :
              ( ~ m1_subset_1(a_4_1_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(k1_zfmisc_1(sK0))) )
      & ~ v1_xboole_0(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f75,plain,
    ( ? [X2,X1] :
        ( ? [X3] :
            ( ~ m1_subset_1(a_4_1_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(k1_zfmisc_1(sK0))) )
   => ( ? [X3] :
          ( ~ m1_subset_1(a_4_1_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(k1_zfmisc_1(sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ( ? [X3] :
        ( ~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,X3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
        & m2_relset_1(X3,sK0,sK1) )
   => ( ~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
      & m2_relset_1(sK3,sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ? [X0] :
      ( ? [X1,X2] :
          ( ? [X3] :
              ( ~ m1_subset_1(a_4_1_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(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(k1_zfmisc_1(X0)))
           => ! [X3] :
                ( m2_relset_1(X3,X0,X1)
               => m1_subset_1(a_4_1_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(k1_zfmisc_1(X0)))
         => ! [X3] :
              ( m2_relset_1(X3,X0,X1)
             => m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.57F5gNj4yT/Vampire---4.8_12158',t28_relset_2) ).

fof(f139,plain,
    ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
    inference(resolution,[],[f138,f96]) ).

fof(f96,plain,
    ~ m1_subset_1(a_4_1_relset_2(sK0,sK1,sK2,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1))),
    inference(cnf_transformation,[],[f77]) ).

fof(f138,plain,
    ! [X0] :
      ( m1_subset_1(a_4_1_relset_2(sK0,sK1,X0,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
    inference(subsumption_resolution,[],[f133,f93]) ).

fof(f93,plain,
    ~ v1_xboole_0(sK0),
    inference(cnf_transformation,[],[f77]) ).

fof(f133,plain,
    ! [X0] :
      ( m1_subset_1(a_4_1_relset_2(sK0,sK1,X0,sK3),k1_zfmisc_1(k1_zfmisc_1(sK1)))
      | ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0)))
      | v1_xboole_0(sK0) ),
    inference(resolution,[],[f95,f102]) ).

fof(f102,plain,
    ! [X2,X3,X0,X1] :
      ( ~ m2_relset_1(X3,X0,X1)
      | m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1)))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2,X3] :
      ( m1_subset_1(a_4_1_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(k1_zfmisc_1(X0)))
      | v1_xboole_0(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3] :
      ( m1_subset_1(a_4_1_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(k1_zfmisc_1(X0)))
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( m2_relset_1(X3,X0,X1)
        & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
        & ~ v1_xboole_0(X0) )
     => m1_subset_1(a_4_1_relset_2(X0,X1,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.57F5gNj4yT/Vampire---4.8_12158',s8_domain_1__e1_38__relset_2) ).

fof(f95,plain,
    m2_relset_1(sK3,sK0,sK1),
    inference(cnf_transformation,[],[f77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SEU429+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11  % 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
% 0.10/0.31  % Computer : n029.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 16:36:50 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31  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.57F5gNj4yT/Vampire---4.8_12158
% 0.60/0.79  % (12268)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (12269)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)
% 0.60/0.79  % (12266)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)
% 0.60/0.79  % (12270)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)
% 0.60/0.79  % (12271)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)
% 0.60/0.79  % (12267)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)
% 0.60/0.79  % (12273)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)
% 0.60/0.79  % (12272)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)
% 0.60/0.79  % (12273)First to succeed.
% 0.60/0.79  % (12271)Also succeeded, but the first one will report.
% 0.60/0.79  % (12273)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (12273)------------------------------
% 0.60/0.79  % (12273)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (12273)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (12273)Memory used [KB]: 1063
% 0.60/0.79  % (12273)Time elapsed: 0.004 s
% 0.60/0.79  % (12273)Instructions burned: 5 (million)
% 0.60/0.79  % (12273)------------------------------
% 0.60/0.79  % (12273)------------------------------
% 0.60/0.79  % (12265)Success in time 0.478 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------