TSTP Solution File: GEO268+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 03:45:02 EDT 2022

% Result   : Theorem 7.14s 2.30s
% Output   : CNFRefutation 7.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  10 unt;  12 nHn;  22 RR)
%            Number of literals    :   60 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   40 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xs853le_/lgb.p',i_0_2) ).

cnf(i_0_67,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xs853le_/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-xs853le_/lgb.p',i_0_65) ).

cnf(i_0_33,plain,
    ~ left_convergent_lines(X1,X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xs853le_/lgb.p',i_0_33) ).

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-xs853le_/lgb.p',i_0_55) ).

cnf(i_0_8,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ equally_directed_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xs853le_/lgb.p',i_0_8) ).

cnf(i_0_52,plain,
    equally_directed_lines(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xs853le_/lgb.p',i_0_52) ).

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-xs853le_/lgb.p',i_0_63) ).

cnf(i_0_68,negated_conjecture,
    ( ~ unequally_directed_lines(esk1_0,esk2_0)
    | ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xs853le_/lgb.p',i_0_68) ).

cnf(i_0_1,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xs853le_/lgb.p',i_0_1) ).

cnf(c_0_79,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_opposite_lines(X1,X2) ),
    i_0_2 ).

cnf(c_0_80,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)) ),
    i_0_67 ).

cnf(c_0_81,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_82,plain,
    ~ left_convergent_lines(X1,X2),
    i_0_33 ).

cnf(c_0_83,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X3,X2)
    | ~ unequally_directed_lines(X3,X1) ),
    i_0_55 ).

cnf(c_0_84,negated_conjecture,
    ( unequally_directed_lines(esk1_0,reverse_line(reverse_line(esk2_0)))
    | unequally_directed_lines(esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_85,plain,
    ( ~ unequally_directed_lines(X1,X2)
    | ~ equally_directed_lines(X1,X2) ),
    i_0_8 ).

cnf(c_0_86,plain,
    equally_directed_lines(X1,X1),
    i_0_52 ).

cnf(c_0_87,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_81,c_0_82]),c_0_82]) ).

cnf(c_0_88,plain,
    ( unequally_directed_lines(reverse_line(reverse_line(esk2_0)),X1)
    | unequally_directed_lines(esk1_0,esk2_0)
    | unequally_directed_lines(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_89,plain,
    ~ unequally_directed_lines(X1,X1),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,plain,
    ( unequally_directed_lines(X1,X2)
    | unequally_directed_lines(X1,reverse_line(X2)) ),
    i_0_63 ).

cnf(c_0_91,plain,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | unequally_directed_lines(esk1_0,X1)
    | ~ unequally_directed_lines(reverse_line(reverse_line(esk2_0)),reverse_line(X1)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_92,plain,
    unequally_directed_lines(reverse_line(X1),X1),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ unequally_directed_lines(esk1_0,esk2_0)
    | ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)) ),
    i_0_68 ).

cnf(c_0_94,plain,
    unequally_directed_lines(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_95,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    i_0_1 ).

cnf(c_0_96,negated_conjecture,
    ~ unequally_directed_opposite_lines(esk1_0,reverse_line(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).

cnf(c_0_97,plain,
    ( unequally_directed_opposite_lines(X1,X2)
    | unequally_directed_lines(X1,X2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_90]) ).

cnf(c_0_98,plain,
    ~ unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
    inference(spm,[status(thm)],[c_0_87,c_0_94]) ).

cnf(c_0_99,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n003.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 12:18:59 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.14/2.30  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.14/2.30  # No SInE strategy applied
% 7.14/2.30  # Trying AutoSched0 for 150 seconds
% 7.14/2.30  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 7.14/2.30  # and selection function SelectCQPrecWNTNp.
% 7.14/2.30  #
% 7.14/2.30  # Preprocessing time       : 0.012 s
% 7.14/2.30  
% 7.14/2.30  # Proof found!
% 7.14/2.30  # SZS status Theorem
% 7.14/2.30  # SZS output start CNFRefutation
% See solution above
% 7.14/2.30  # Training examples: 0 positive, 0 negative
% 7.14/2.30  
% 7.14/2.30  # -------------------------------------------------
% 7.14/2.30  # User time                : 0.016 s
% 7.14/2.30  # System time              : 0.004 s
% 7.14/2.30  # Total time               : 0.020 s
% 7.14/2.30  # Maximum resident set size: 7124 pages
% 7.14/2.30  
%------------------------------------------------------------------------------