TSTP Solution File: MGT049+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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  : 600s
% DateTime : Sun Jul 17 22:06:49 EDT 2022

% Result   : Theorem 7.50s 2.27s
% Output   : CNFRefutation 7.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   35 (  15 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   33 (  12   ~;   9   |;   6   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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   :   29 (   6 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(assumption_6,axiom,
    ! [X1,X4,X5] :
      ( organization(X1)
     => ( ( greater(external_ties(X1,X5),external_ties(X1,X4))
         => greater(position(X1,X5),position(X1,X4)) )
        & ( external_ties(X1,X5) = external_ties(X1,X4)
         => position(X1,X5) = position(X1,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).

fof(assumption_11,axiom,
    ! [X1,X4,X5] :
      ( organization(X1)
     => external_ties(X1,X5) = external_ties(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).

fof(lemma_6,conjecture,
    ! [X1,X4,X5] :
      ( ( organization(X1)
        & greater(age(X1,X5),age(X1,X4)) )
     => position(X1,X5) = position(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_6) ).

fof(c_0_3,plain,
    ! [X19,X20,X21] :
      ( ( ~ greater(external_ties(X19,X21),external_ties(X19,X20))
        | greater(position(X19,X21),position(X19,X20))
        | ~ organization(X19) )
      & ( external_ties(X19,X21) != external_ties(X19,X20)
        | position(X19,X21) = position(X19,X20)
        | ~ organization(X19) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])]) ).

fof(c_0_4,plain,
    ! [X22,X23,X24] :
      ( ~ organization(X22)
      | external_ties(X22,X24) = external_ties(X22,X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_11])]) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X4,X5] :
        ( ( organization(X1)
          & greater(age(X1,X5),age(X1,X4)) )
       => position(X1,X5) = position(X1,X4) ),
    inference(assume_negation,[status(cth)],[lemma_6]) ).

cnf(c_0_6,plain,
    ( position(X1,X2) = position(X1,X3)
    | external_ties(X1,X2) != external_ties(X1,X3)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    ( external_ties(X1,X2) = external_ties(X1,X3)
    | ~ organization(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_8,negated_conjecture,
    ( organization(esk1_0)
    & greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
    & position(esk1_0,esk3_0) != position(esk1_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_9,plain,
    ( position(X1,X2) = position(X1,X3)
    | ~ organization(X1) ),
    inference(csr,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    position(esk1_0,esk3_0) != position(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    position(esk1_0,X1) = position(esk1_0,X2),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_11,c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT049+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 10:41:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.50/2.27  # ENIGMATIC: Solved by autoschedule:
% 7.50/2.27  # No SInE strategy applied
% 7.50/2.27  # Trying AutoSched0 for 150 seconds
% 7.50/2.27  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 7.50/2.27  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.50/2.27  #
% 7.50/2.27  # Preprocessing time       : 0.013 s
% 7.50/2.27  
% 7.50/2.27  # Proof found!
% 7.50/2.27  # SZS status Theorem
% 7.50/2.27  # SZS output start CNFRefutation
% See solution above
% 7.50/2.27  # Training examples: 0 positive, 0 negative
% 7.50/2.27  
% 7.50/2.27  # -------------------------------------------------
% 7.50/2.27  # User time                : 0.015 s
% 7.50/2.27  # System time              : 0.004 s
% 7.50/2.27  # Total time               : 0.019 s
% 7.50/2.27  # Maximum resident set size: 7120 pages
% 7.50/2.27  
%------------------------------------------------------------------------------