TSTP Solution File: GEO193+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO193+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Sat Jul 16 03:44:11 EDT 2022

% Result   : Theorem 7.45s 2.40s
% Output   : CNFRefutation 7.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   38 (  16 unt;  18 nHn;  23 RR)
%            Number of literals    :   85 (   0 equ;  28 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   56 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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-4m1zwgc0/lgb.p',i_0_6) ).

cnf(i_0_18,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_18) ).

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-4m1zwgc0/lgb.p',i_0_8) ).

cnf(i_0_15,negated_conjecture,
    apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_15) ).

cnf(i_0_3,plain,
    ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_3) ).

cnf(i_0_7,plain,
    ( distinct_points(X1,X2)
    | apart_point_and_line(X2,X3)
    | ~ apart_point_and_line(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_7) ).

cnf(i_0_9,plain,
    ( distinct_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_9) ).

cnf(i_0_12,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_12) ).

cnf(i_0_19,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-4m1zwgc0/lgb.p',i_0_19) ).

cnf(i_0_17,negated_conjecture,
    convergent_lines(esk3_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_17) ).

cnf(i_0_2,plain,
    ~ distinct_lines(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_2) ).

cnf(i_0_14,negated_conjecture,
    ~ apart_point_and_line(intersection_point(esk3_0,esk2_0),esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_14) ).

cnf(i_0_13,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4m1zwgc0/lgb.p',i_0_13) ).

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(esk1_0,esk2_0),
    i_0_18 ).

cnf(c_0_35,plain,
    ( distinct_lines(X1,X2)
    | apart_point_and_line(X3,X2)
    | ~ apart_point_and_line(X3,X1) ),
    i_0_8 ).

cnf(c_0_36,negated_conjecture,
    apart_point_and_line(intersection_point(esk1_0,esk2_0),esk3_0),
    i_0_15 ).

cnf(c_0_37,plain,
    ~ convergent_lines(X1,X1),
    i_0_3 ).

cnf(c_0_38,negated_conjecture,
    ( convergent_lines(esk2_0,X1)
    | convergent_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( distinct_points(X1,X2)
    | apart_point_and_line(X2,X3)
    | ~ apart_point_and_line(X1,X3) ),
    i_0_7 ).

cnf(c_0_40,negated_conjecture,
    ( distinct_lines(esk3_0,X1)
    | apart_point_and_line(intersection_point(esk1_0,esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_41,plain,
    ( distinct_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    i_0_9 ).

cnf(c_0_42,plain,
    convergent_lines(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    i_0_12 ).

cnf(c_0_44,negated_conjecture,
    ( distinct_lines(esk3_0,X1)
    | distinct_points(intersection_point(esk1_0,esk2_0),X2)
    | apart_point_and_line(X2,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,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_19 ).

cnf(c_0_46,plain,
    ( convergent_lines(esk2_0,X1)
    | distinct_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,plain,
    ( distinct_lines(esk3_0,X1)
    | distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(X1,X2))
    | ~ convergent_lines(X1,X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    convergent_lines(esk3_0,esk2_0),
    i_0_17 ).

cnf(c_0_49,plain,
    ~ distinct_lines(X1,X1),
    i_0_2 ).

cnf(c_0_50,plain,
    ( convergent_lines(esk2_0,X1)
    | apart_point_and_line(X2,esk1_0)
    | apart_point_and_line(X3,esk1_0)
    | apart_point_and_line(X2,X1)
    | apart_point_and_line(X3,X1)
    | ~ distinct_points(X3,X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk3_0,esk2_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ~ apart_point_and_line(intersection_point(esk3_0,esk2_0),esk1_0),
    i_0_14 ).

cnf(c_0_53,negated_conjecture,
    ( convergent_lines(esk2_0,X1)
    | apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
    | apart_point_and_line(intersection_point(esk1_0,esk2_0),X1)
    | apart_point_and_line(intersection_point(esk3_0,esk2_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_54,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    i_0_13 ).

cnf(c_0_55,plain,
    ( convergent_lines(esk2_0,X1)
    | apart_point_and_line(intersection_point(esk3_0,esk2_0),X1)
    | apart_point_and_line(intersection_point(esk1_0,esk2_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_53]),c_0_34])]) ).

cnf(c_0_56,plain,
    apart_point_and_line(intersection_point(esk3_0,esk2_0),esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_34])]),c_0_37]) ).

cnf(c_0_57,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_56]),c_0_48])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO193+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % 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 : Fri Jun 17 19:32:19 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
% 7.45/2.40  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.45/2.40  # No SInE strategy applied
% 7.45/2.40  # Trying AutoSched0 for 150 seconds
% 7.45/2.40  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.45/2.40  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.45/2.40  #
% 7.45/2.40  # Preprocessing time       : 0.020 s
% 7.45/2.40  # Presaturation interreduction done
% 7.45/2.40  
% 7.45/2.40  # Proof found!
% 7.45/2.40  # SZS status Theorem
% 7.45/2.40  # SZS output start CNFRefutation
% See solution above
% 7.45/2.40  # Training examples: 0 positive, 0 negative
% 7.45/2.40  
% 7.45/2.40  # -------------------------------------------------
% 7.45/2.40  # User time                : 0.035 s
% 7.45/2.40  # System time              : 0.003 s
% 7.45/2.40  # Total time               : 0.038 s
% 7.45/2.40  # Maximum resident set size: 7120 pages
% 7.45/2.40  
%------------------------------------------------------------------------------