TSTP Solution File: GEO255+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% 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 03:44:56 EDT 2022

% Result   : Theorem 7.31s 2.39s
% Output   : CNFRefutation 7.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   39 (  16 unt;  11 nHn;  28 RR)
%            Number of literals    :   70 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   55 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_51,plain,
    ( distinct_points(X1,X2)
    | ~ before_on_line(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_51) ).

cnf(i_0_68,negated_conjecture,
    before_on_line(esk1_0,esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_68) ).

cnf(i_0_55,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_55) ).

cnf(i_0_63,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_63) ).

cnf(i_0_8,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ equally_directed_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_8) ).

cnf(i_0_66,plain,
    ( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
    | ~ distinct_points(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_66) ).

cnf(i_0_48,plain,
    ( equally_directed_lines(X1,line_connecting(X2,X3))
    | ~ before_on_line(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_48) ).

cnf(i_0_67,negated_conjecture,
    before_on_line(esk1_0,esk3_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_67) ).

cnf(i_0_65,plain,
    ( left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_65) ).

cnf(i_0_33,plain,
    ~ left_convergent_lines(X1,X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_33) ).

cnf(i_0_52,plain,
    equally_directed_lines(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f11_6aoq/lgb.p',i_0_52) ).

cnf(c_0_80,plain,
    ( distinct_points(X1,X2)
    | ~ before_on_line(X3,X1,X2) ),
    i_0_51 ).

cnf(c_0_81,negated_conjecture,
    before_on_line(esk1_0,esk2_0,esk3_0),
    i_0_68 ).

cnf(c_0_82,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    i_0_55 ).

cnf(c_0_83,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,reverse_line(X2)) ),
    i_0_63 ).

cnf(c_0_84,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ equally_directed_lines(X1,X2) ),
    i_0_8 ).

cnf(c_0_85,plain,
    ( equally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
    | ~ distinct_points(X1,X2) ),
    i_0_66 ).

cnf(c_0_86,negated_conjecture,
    distinct_points(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_87,plain,
    ( unequally_directed_lines(reverse_line(X1),X2)
    | unequally_directed_lines(X3,X1)
    | unequally_directed_lines(X3,X2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_88,plain,
    ( equally_directed_lines(X1,line_connecting(X2,X3))
    | ~ before_on_line(X1,X2,X3) ),
    i_0_48 ).

cnf(c_0_89,negated_conjecture,
    before_on_line(esk1_0,esk3_0,esk2_0),
    i_0_67 ).

cnf(c_0_90,plain,
    ( left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    i_0_65 ).

cnf(c_0_91,plain,
    ~ left_convergent_lines(X1,X2),
    i_0_33 ).

cnf(c_0_92,plain,
    ( unequally_directed_lines(X1,X2)
    | ~ equally_directed_lines(X1,reverse_line(X2)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_83]) ).

cnf(c_0_93,plain,
    equally_directed_lines(line_connecting(esk2_0,esk3_0),reverse_line(line_connecting(esk3_0,esk2_0))),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_94,plain,
    ( unequally_directed_lines(reverse_line(X1),X2)
    | unequally_directed_lines(X3,X1)
    | ~ equally_directed_lines(X3,X2) ),
    inference(spm,[status(thm)],[c_0_84,c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    equally_directed_lines(esk1_0,line_connecting(esk3_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_96,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_90,c_0_91]),c_0_91]) ).

cnf(c_0_97,plain,
    unequally_directed_lines(line_connecting(esk2_0,esk3_0),line_connecting(esk3_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_98,negated_conjecture,
    ( unequally_directed_lines(reverse_line(X1),line_connecting(esk3_0,esk2_0))
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_99,plain,
    ~ unequally_directed_lines(line_connecting(esk2_0,esk3_0),reverse_line(line_connecting(esk3_0,esk2_0))),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_100,plain,
    ( unequally_directed_lines(esk1_0,X1)
    | ~ unequally_directed_lines(reverse_line(X1),reverse_line(line_connecting(esk3_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_96,c_0_98]) ).

cnf(c_0_101,plain,
    ( unequally_directed_lines(reverse_line(X1),reverse_line(line_connecting(esk3_0,esk2_0)))
    | unequally_directed_lines(line_connecting(esk2_0,esk3_0),X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_87]) ).

cnf(c_0_102,plain,
    ( unequally_directed_lines(line_connecting(esk2_0,esk3_0),X1)
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_103,plain,
    ( unequally_directed_lines(esk1_0,X1)
    | ~ equally_directed_lines(line_connecting(esk2_0,esk3_0),X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_102]) ).

cnf(c_0_104,plain,
    equally_directed_lines(X1,X1),
    i_0_52 ).

cnf(c_0_105,plain,
    unequally_directed_lines(esk1_0,line_connecting(esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_106,negated_conjecture,
    equally_directed_lines(esk1_0,line_connecting(esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_88,c_0_81]) ).

cnf(c_0_107,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_105]),c_0_106])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO255+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 14:41:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.31/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.31/2.39  # No SInE strategy applied
% 7.31/2.39  # Trying AutoSched0 for 150 seconds
% 7.31/2.39  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 7.31/2.39  # and selection function SelectCQPrecWNTNp.
% 7.31/2.39  #
% 7.31/2.39  # Preprocessing time       : 0.013 s
% 7.31/2.39  
% 7.31/2.39  # Proof found!
% 7.31/2.39  # SZS status Theorem
% 7.31/2.39  # SZS output start CNFRefutation
% See solution above
% 7.31/2.39  # Training examples: 0 positive, 0 negative
% 7.31/2.39  
% 7.31/2.39  # -------------------------------------------------
% 7.31/2.39  # User time                : 0.018 s
% 7.31/2.39  # System time              : 0.004 s
% 7.31/2.39  # Total time               : 0.022 s
% 7.31/2.39  # Maximum resident set size: 7124 pages
% 7.31/2.39  
%------------------------------------------------------------------------------