TSTP Solution File: SEU435+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU435+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 03:53:23 EDT 2024

% Result   : Theorem 0.57s 0.74s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   42 (  17   ~;   7   |;  11   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-6 aty)
%            Number of variables   :   54 (  36   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f123,plain,
    $false,
    inference(subsumption_resolution,[],[f122,f89]) ).

fof(f89,plain,
    m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4)))
    & m1_subset_1(sK5,k1_zfmisc_1(sK3))
    & m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f53,f74,f73]) ).

fof(f73,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3,X4,X5] :
            ( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
            & m1_subset_1(X5,k1_zfmisc_1(X3)) )
        & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
   => ( ? [X5,X4,X3] :
          ( ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
          & m1_subset_1(X5,k1_zfmisc_1(X3)) )
      & m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ( ? [X5,X4,X3] :
        ( ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
        & m1_subset_1(X5,k1_zfmisc_1(X3)) )
   => ( ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4)))
      & m1_subset_1(sK5,k1_zfmisc_1(sK3)) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ? [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
          & m1_subset_1(X5,k1_zfmisc_1(X3)) )
      & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
       => ! [X3,X4,X5] :
            ( m1_subset_1(X5,k1_zfmisc_1(X3))
           => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X1,X2] :
      ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
     => ! [X3,X4,X5] :
          ( m1_subset_1(X5,k1_zfmisc_1(X3))
         => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.8hZqki3ee4/Vampire---4.8_4767',t36_relset_2) ).

fof(f122,plain,
    ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))),
    inference(subsumption_resolution,[],[f121,f90]) ).

fof(f90,plain,
    m1_subset_1(sK5,k1_zfmisc_1(sK3)),
    inference(cnf_transformation,[],[f75]) ).

fof(f121,plain,
    ( ~ m1_subset_1(sK5,k1_zfmisc_1(sK3))
    | ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))) ),
    inference(resolution,[],[f91,f94]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ m1_subset_1(X5,k1_zfmisc_1(X3))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ m1_subset_1(X5,k1_zfmisc_1(X3))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
      | ~ m1_subset_1(X5,k1_zfmisc_1(X3))
      | ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( m1_subset_1(X5,k1_zfmisc_1(X3))
        & m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) )
     => m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.8hZqki3ee4/Vampire---4.8_4767',s8_domain_1__e1_46__relset_2) ).

fof(f91,plain,
    ~ m1_subset_1(a_6_0_relset_2(sK0,sK1,sK2,sK3,sK4,sK5),k1_zfmisc_1(k1_zfmisc_1(sK4))),
    inference(cnf_transformation,[],[f75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14  % 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 : n005.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   : Tue Apr 30 16:11:11 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/tmp/tmp.8hZqki3ee4/Vampire---4.8_4767
% 0.57/0.74  % (5113)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)
% 0.57/0.74  % (5106)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)
% 0.57/0.74  % (5108)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (5109)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)
% 0.57/0.74  % (5113)First to succeed.
% 0.57/0.74  % (5107)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)
% 0.57/0.74  % (5111)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)
% 0.57/0.74  % (5110)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)
% 0.57/0.74  % (5112)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)
% 0.57/0.74  % (5113)Refutation found. Thanks to Tanya!
% 0.57/0.74  % SZS status Theorem for Vampire---4
% 0.57/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74  % (5113)------------------------------
% 0.57/0.74  % (5113)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (5113)Termination reason: Refutation
% 0.57/0.74  
% 0.57/0.74  % (5113)Memory used [KB]: 1048
% 0.57/0.74  % (5113)Time elapsed: 0.002 s
% 0.57/0.74  % (5113)Instructions burned: 4 (million)
% 0.57/0.74  % (5113)------------------------------
% 0.57/0.74  % (5113)------------------------------
% 0.57/0.74  % (4951)Success in time 0.373 s
% 0.57/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------