TSTP Solution File: GEO182+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO182+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 03:44:02 EDT 2022

% Result   : Theorem 8.19s 2.42s
% Output   : CNFRefutation 8.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   28 (  11 unt;  13 nHn;  20 RR)
%            Number of literals    :   67 (   0 equ;  21 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( distinct_lines(X1,X2)
    | apart_point_and_line(X3,X2)
    | ~ apart_point_and_line(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_8) ).

cnf(i_0_15,negated_conjecture,
    apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_15) ).

cnf(i_0_4,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | ~ distinct_points(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_4) ).

cnf(i_0_16,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_16) ).

cnf(i_0_17,plain,
    ( apart_point_and_line(X1,X2)
    | apart_point_and_line(X1,X3)
    | apart_point_and_line(X4,X2)
    | apart_point_and_line(X4,X3)
    | ~ distinct_points(X4,X1)
    | ~ distinct_lines(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_17) ).

cnf(i_0_1,plain,
    ~ distinct_points(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_1) ).

cnf(i_0_14,negated_conjecture,
    ~ apart_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_14) ).

cnf(i_0_10,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_10) ).

cnf(i_0_11,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-masphaj1/lgb.p',i_0_11) ).

cnf(c_0_27,plain,
    ( distinct_lines(X1,X2)
    | apart_point_and_line(X3,X2)
    | ~ apart_point_and_line(X3,X1) ),
    i_0_8 ).

cnf(c_0_28,negated_conjecture,
    apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
    i_0_15 ).

cnf(c_0_29,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | ~ distinct_points(X3,X1) ),
    i_0_4 ).

cnf(c_0_30,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    i_0_16 ).

cnf(c_0_31,plain,
    ( apart_point_and_line(X1,X2)
    | apart_point_and_line(X1,X3)
    | apart_point_and_line(X4,X2)
    | apart_point_and_line(X4,X3)
    | ~ distinct_points(X4,X1)
    | ~ distinct_lines(X3,X2) ),
    i_0_17 ).

cnf(c_0_32,negated_conjecture,
    ( distinct_lines(line_connecting(esk1_0,esk2_0),X1)
    | apart_point_and_line(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,plain,
    ~ distinct_points(X1,X1),
    i_0_1 ).

cnf(c_0_34,negated_conjecture,
    ( distinct_points(esk2_0,X1)
    | distinct_points(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(X2,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk3_0,X3)
    | apart_point_and_line(X1,X3)
    | apart_point_and_line(X2,X3)
    | ~ distinct_points(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,plain,
    distinct_points(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ~ apart_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)),
    i_0_14 ).

cnf(c_0_38,plain,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,X1)
    | apart_point_and_line(esk1_0,X1)
    | apart_point_and_line(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    i_0_10 ).

cnf(c_0_40,negated_conjecture,
    ( apart_point_and_line(esk1_0,line_connecting(esk2_0,esk1_0))
    | apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
    | apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    i_0_11 ).

cnf(c_0_42,plain,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
    | apart_point_and_line(esk1_0,line_connecting(esk2_0,esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30])]) ).

cnf(c_0_43,plain,
    ( apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_36])]) ).

cnf(c_0_44,plain,
    apart_point_and_line(esk2_0,line_connecting(esk2_0,esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_43]),c_0_30])]) ).

cnf(c_0_45,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO182+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 02:34:50 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
% 8.19/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.19/2.42  # No SInE strategy applied
% 8.19/2.42  # Trying AutoSched0 for 150 seconds
% 8.19/2.42  # AutoSched0-Mode selected heuristic G_E___042_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 8.19/2.42  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.19/2.42  #
% 8.19/2.42  # Preprocessing time       : 0.012 s
% 8.19/2.42  # Presaturation interreduction done
% 8.19/2.42  
% 8.19/2.42  # Proof found!
% 8.19/2.42  # SZS status Theorem
% 8.19/2.42  # SZS output start CNFRefutation
% See solution above
% 8.19/2.42  # Training examples: 0 positive, 0 negative
% 8.19/2.42  
% 8.19/2.42  # -------------------------------------------------
% 8.19/2.42  # User time                : 0.017 s
% 8.19/2.42  # System time              : 0.004 s
% 8.19/2.42  # Total time               : 0.021 s
% 8.19/2.42  # Maximum resident set size: 7120 pages
% 8.19/2.42  
%------------------------------------------------------------------------------