TSTP Solution File: GEO209+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO209+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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  : 600s
% DateTime : Sat Jul 16 03:44:26 EDT 2022

% Result   : Theorem 7.84s 2.29s
% Output   : CNFRefutation 7.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  11 unt;   7 nHn;  11 RR)
%            Number of literals    :   34 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
    ( convergent_lines(X1,X2)
    | apart_point_and_line(X3,X2)
    | apart_point_and_line(X3,X1)
    | ~ distinct_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wc_89inv/lgb.p',i_0_23) ).

cnf(i_0_14,negated_conjecture,
    distinct_lines(esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wc_89inv/lgb.p',i_0_14) ).

cnf(i_0_6,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wc_89inv/lgb.p',i_0_6) ).

cnf(i_0_15,negated_conjecture,
    ~ convergent_lines(esk4_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wc_89inv/lgb.p',i_0_15) ).

cnf(i_0_16,negated_conjecture,
    ~ convergent_lines(esk3_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wc_89inv/lgb.p',i_0_16) ).

cnf(i_0_17,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wc_89inv/lgb.p',i_0_17) ).

cnf(i_0_18,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wc_89inv/lgb.p',i_0_18) ).

cnf(c_0_31,plain,
    ( convergent_lines(X1,X2)
    | apart_point_and_line(X3,X2)
    | apart_point_and_line(X3,X1)
    | ~ distinct_lines(X1,X2) ),
    i_0_23 ).

cnf(c_0_32,negated_conjecture,
    distinct_lines(esk3_0,esk4_0),
    i_0_14 ).

cnf(c_0_33,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    i_0_6 ).

cnf(c_0_34,negated_conjecture,
    ( convergent_lines(esk3_0,esk4_0)
    | apart_point_and_line(X1,esk3_0)
    | apart_point_and_line(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ~ convergent_lines(esk4_0,esk2_0),
    i_0_15 ).

cnf(c_0_36,plain,
    ( convergent_lines(esk4_0,X1)
    | convergent_lines(esk3_0,X1)
    | apart_point_and_line(X2,esk4_0)
    | apart_point_and_line(X2,esk3_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ~ convergent_lines(esk3_0,esk2_0),
    i_0_16 ).

cnf(c_0_38,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk4_0),
    i_0_17 ).

cnf(c_0_39,negated_conjecture,
    ( apart_point_and_line(X1,esk3_0)
    | apart_point_and_line(X1,esk4_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk3_0),
    i_0_18 ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO209+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 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  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 17:40:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # 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
% 7.84/2.29  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.84/2.29  # No SInE strategy applied
% 7.84/2.29  # Trying AutoSched0 for 150 seconds
% 7.84/2.29  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S05AI
% 7.84/2.29  # and selection function PSelectComplexExceptUniqMaxPosHorn.
% 7.84/2.29  #
% 7.84/2.29  # Preprocessing time       : 0.012 s
% 7.84/2.29  # Presaturation interreduction done
% 7.84/2.29  
% 7.84/2.29  # Proof found!
% 7.84/2.29  # SZS status Theorem
% 7.84/2.29  # SZS output start CNFRefutation
% See solution above
% 7.84/2.29  # Training examples: 0 positive, 0 negative
% 7.84/2.29  
% 7.84/2.29  # -------------------------------------------------
% 7.84/2.29  # User time                : 0.013 s
% 7.84/2.29  # System time              : 0.003 s
% 7.84/2.29  # Total time               : 0.016 s
% 7.84/2.29  # Maximum resident set size: 7124 pages
% 7.84/2.29  
%------------------------------------------------------------------------------