TSTP Solution File: GEO221+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO221+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 03:44:35 EDT 2022

% Result   : Theorem 8.46s 2.52s
% Output   : CNFRefutation 8.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   9 unt;   4 nHn;   9 RR)
%            Number of literals    :   25 (   0 equ;   8 neg)
%            Maximal clause size   :    5 (   1 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   :   19 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
    ( apart_point_and_line(X1,X2)
    | apart_point_and_line(X1,X3)
    | unorthogonal_lines(X2,X4)
    | unorthogonal_lines(X3,X4)
    | ~ distinct_lines(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mx6ooq37/lgb.p',i_0_27) ).

cnf(i_0_14,negated_conjecture,
    distinct_lines(orthogonal_through_point(esk3_0,esk1_0),orthogonal_through_point(esk3_0,esk2_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mx6ooq37/lgb.p',i_0_14) ).

cnf(i_0_25,plain,
    ~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mx6ooq37/lgb.p',i_0_25) ).

cnf(i_0_26,plain,
    ~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mx6ooq37/lgb.p',i_0_26) ).

cnf(i_0_15,negated_conjecture,
    ~ apart_point_and_line(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mx6ooq37/lgb.p',i_0_15) ).

cnf(c_0_33,plain,
    ( apart_point_and_line(X1,X2)
    | apart_point_and_line(X1,X3)
    | unorthogonal_lines(X2,X4)
    | unorthogonal_lines(X3,X4)
    | ~ distinct_lines(X3,X2) ),
    i_0_27 ).

cnf(c_0_34,negated_conjecture,
    distinct_lines(orthogonal_through_point(esk3_0,esk1_0),orthogonal_through_point(esk3_0,esk2_0)),
    i_0_14 ).

cnf(c_0_35,plain,
    ~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
    i_0_25 ).

cnf(c_0_36,negated_conjecture,
    ( unorthogonal_lines(orthogonal_through_point(esk3_0,esk1_0),X1)
    | unorthogonal_lines(orthogonal_through_point(esk3_0,esk2_0),X1)
    | apart_point_and_line(X2,orthogonal_through_point(esk3_0,esk1_0))
    | apart_point_and_line(X2,orthogonal_through_point(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    ~ apart_point_and_line(X1,orthogonal_through_point(X2,X1)),
    i_0_26 ).

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

cnf(c_0_39,negated_conjecture,
    ~ apart_point_and_line(esk2_0,orthogonal_through_point(esk3_0,esk1_0)),
    i_0_15 ).

cnf(c_0_40,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO221+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n027.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 : Fri Jun 17 16:24:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/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
% 8.46/2.52  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.46/2.52  # No SInE strategy applied
% 8.46/2.52  # Trying AutoSched0 for 150 seconds
% 8.46/2.52  # AutoSched0-Mode selected heuristic G_E___041_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 8.46/2.52  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.46/2.52  #
% 8.46/2.52  # Preprocessing time       : 0.014 s
% 8.46/2.52  
% 8.46/2.52  # Proof found!
% 8.46/2.52  # SZS status Theorem
% 8.46/2.52  # SZS output start CNFRefutation
% See solution above
% 8.46/2.52  # Training examples: 0 positive, 0 negative
% 8.46/2.52  
% 8.46/2.52  # -------------------------------------------------
% 8.46/2.52  # User time                : 0.014 s
% 8.46/2.52  # System time              : 0.005 s
% 8.46/2.52  # Total time               : 0.020 s
% 8.46/2.52  # Maximum resident set size: 7124 pages
% 8.46/2.52  
%------------------------------------------------------------------------------