TSTP Solution File: GEO217+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 : Sat Jul 16 03:44:32 EDT 2022

% Result   : Theorem 6.75s 2.28s
% Output   : CNFRefutation 6.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  16   ~;  10   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   23 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X6,X7,X8] :
      ( ( ~ convergent_lines(X6,X7)
        & ~ convergent_lines(X6,X8) )
     => ~ convergent_lines(X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(apart6,axiom,
    ! [X1,X2,X3] :
      ( convergent_lines(X1,X2)
     => ( convergent_lines(X1,X3)
        | convergent_lines(X2,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart6) ).

fof(apart3,axiom,
    ! [X1] : ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart3) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X6,X7,X8] :
        ( ( ~ convergent_lines(X6,X7)
          & ~ convergent_lines(X6,X8) )
       => ~ convergent_lines(X7,X8) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,plain,
    ! [X18,X19,X20] :
      ( ~ convergent_lines(X18,X19)
      | convergent_lines(X18,X20)
      | convergent_lines(X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apart6])]) ).

fof(c_0_5,negated_conjecture,
    ( ~ convergent_lines(esk1_0,esk2_0)
    & ~ convergent_lines(esk1_0,esk3_0)
    & convergent_lines(esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,plain,
    ( convergent_lines(X1,X3)
    | convergent_lines(X2,X3)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    convergent_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X11] : ~ convergent_lines(X11,X11),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[apart3])]) ).

cnf(c_0_9,negated_conjecture,
    ( convergent_lines(esk2_0,X1)
    | convergent_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    ( convergent_lines(esk3_0,X1)
    | convergent_lines(esk2_0,X2)
    | convergent_lines(X1,X2) ),
    inference(spm,[status(thm)],[c_0_6,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ~ convergent_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    ( convergent_lines(X1,esk2_0)
    | convergent_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    convergent_lines(esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    ~ convergent_lines(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,negated_conjecture,
    ( convergent_lines(esk3_0,X1)
    | convergent_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO217+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 : Sat Jun 18 11:56:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.75/2.28  # ENIGMATIC: Solved by autoschedule:
% 6.75/2.28  # No SInE strategy applied
% 6.75/2.28  # Trying AutoSched0 for 150 seconds
% 6.75/2.28  # AutoSched0-Mode selected heuristic G_E___042_C45_F1_PI_AE_Q4_CS_SP_PS_S4S
% 6.75/2.28  # and selection function SelectNewComplexAHPNS.
% 6.75/2.28  #
% 6.75/2.28  # Preprocessing time       : 0.014 s
% 6.75/2.28  # Presaturation interreduction done
% 6.75/2.28  
% 6.75/2.28  # Proof found!
% 6.75/2.28  # SZS status Theorem
% 6.75/2.28  # SZS output start CNFRefutation
% See solution above
% 6.75/2.28  # Training examples: 0 positive, 0 negative
% 6.75/2.28  
% 6.75/2.28  # -------------------------------------------------
% 6.75/2.28  # User time                : 0.017 s
% 6.75/2.28  # System time              : 0.004 s
% 6.75/2.28  # Total time               : 0.022 s
% 6.75/2.28  # Maximum resident set size: 7116 pages
% 6.75/2.28  
%------------------------------------------------------------------------------