TSTP Solution File: MGT049+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n025.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 Aug 31 17:51:10 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   5 unt;   0 def)
%            Number of atoms       :   65 (  27 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   63 (  21   ~;  11   |;  19   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   53 (  41   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f43]) ).

fof(f43,plain,
    ! [X0,X1] : external_ties(sK2,X0) = external_ties(sK2,X1),
    inference(unit_resulting_resolution,[],[f34,f36]) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ organization(X1)
      | external_ties(X1,X2) = external_ties(X1,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( external_ties(X1,X2) = external_ties(X1,X0)
      | ~ organization(X1) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ! [X0,X2,X1] :
      ( external_ties(X2,X1) = external_ties(X2,X0)
      | ~ organization(X2) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X2,X1,X0] :
      ( organization(X2)
     => external_ties(X2,X1) = external_ties(X2,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X3,X4,X0] :
      ( organization(X0)
     => external_ties(X0,X4) = external_ties(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).

fof(f34,plain,
    organization(sK2),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ( organization(sK2)
    & position(sK2,sK0) != position(sK2,sK1)
    & greater(age(sK2,sK0),age(sK2,sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f24]) ).

fof(f24,plain,
    ( ? [X0,X1,X2] :
        ( organization(X2)
        & position(X2,X1) != position(X2,X0)
        & greater(age(X2,X0),age(X2,X1)) )
   => ( organization(sK2)
      & position(sK2,sK0) != position(sK2,sK1)
      & greater(age(sK2,sK0),age(sK2,sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( organization(X2)
      & position(X2,X1) != position(X2,X0)
      & greater(age(X2,X0),age(X2,X1)) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ? [X0,X2,X1] :
      ( organization(X1)
      & position(X1,X0) != position(X1,X2)
      & greater(age(X1,X0),age(X1,X2)) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ? [X1,X2,X0] :
      ( position(X1,X0) != position(X1,X2)
      & greater(age(X1,X0),age(X1,X2))
      & organization(X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X1,X2,X0] :
        ( ( greater(age(X1,X0),age(X1,X2))
          & organization(X1) )
       => position(X1,X0) = position(X1,X2) ),
    inference(rectify,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X4,X0,X3] :
        ( ( organization(X0)
          & greater(age(X0,X4),age(X0,X3)) )
       => position(X0,X4) = position(X0,X3) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X4,X0,X3] :
      ( ( organization(X0)
        & greater(age(X0,X4),age(X0,X3)) )
     => position(X0,X4) = position(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_6) ).

fof(f48,plain,
    external_ties(sK2,sK0) != external_ties(sK2,sK1),
    inference(unit_resulting_resolution,[],[f34,f33,f39]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( external_ties(X0,X2) != external_ties(X0,X1)
      | ~ organization(X0)
      | position(X0,X1) = position(X0,X2) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ~ organization(X0)
      | ( ( ~ greater(external_ties(X0,X2),external_ties(X0,X1))
          | greater(position(X0,X2),position(X0,X1)) )
        & ( external_ties(X0,X2) != external_ties(X0,X1)
          | position(X0,X1) = position(X0,X2) ) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ! [X2,X1,X0] :
      ( ~ organization(X2)
      | ( ( ~ greater(external_ties(X2,X0),external_ties(X2,X1))
          | greater(position(X2,X0),position(X2,X1)) )
        & ( external_ties(X2,X1) != external_ties(X2,X0)
          | position(X2,X1) = position(X2,X0) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X1,X0,X2] :
      ( organization(X2)
     => ( ( external_ties(X2,X1) = external_ties(X2,X0)
         => position(X2,X1) = position(X2,X0) )
        & ( greater(external_ties(X2,X0),external_ties(X2,X1))
         => greater(position(X2,X0),position(X2,X1)) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X4,X3,X0] :
      ( organization(X0)
     => ( ( external_ties(X0,X4) = external_ties(X0,X3)
         => position(X0,X4) = position(X0,X3) )
        & ( greater(external_ties(X0,X4),external_ties(X0,X3))
         => greater(position(X0,X4),position(X0,X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).

fof(f33,plain,
    position(sK2,sK0) != position(sK2,sK1),
    inference(cnf_transformation,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 03:28:14 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (27789)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50  % (27802)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50  % (27789)First to succeed.
% 0.19/0.50  % (27794)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (27806)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (27788)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (27794)Also succeeded, but the first one will report.
% 0.19/0.51  % (27789)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (27789)------------------------------
% 0.19/0.51  % (27789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (27789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (27789)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (27789)Memory used [KB]: 5884
% 0.19/0.51  % (27789)Time elapsed: 0.101 s
% 0.19/0.51  % (27789)Instructions burned: 2 (million)
% 0.19/0.51  % (27789)------------------------------
% 0.19/0.51  % (27789)------------------------------
% 0.19/0.51  % (27779)Success in time 0.169 s
%------------------------------------------------------------------------------