TSTP Solution File: GEO170+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 03:43:52 EDT 2022

% Result   : Theorem 9.07s 2.68s
% Output   : CNFRefutation 9.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  14 unt;  11 nHn;  26 RR)
%            Number of literals    :   64 (   0 equ;  23 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,negated_conjecture,
    ~ equal_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_26) ).

cnf(i_0_14,plain,
    ( distinct_lines(X1,X2)
    | equal_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_14) ).

cnf(i_0_10,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | ~ distinct_points(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_10) ).

cnf(i_0_29,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_29) ).

cnf(i_0_37,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/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_37) ).

cnf(i_0_7,plain,
    ~ distinct_points(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_7) ).

cnf(i_0_20,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_20) ).

cnf(i_0_21,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_21) ).

cnf(i_0_4,plain,
    ( ~ incident_point_and_line(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_4) ).

cnf(i_0_28,negated_conjecture,
    incident_point_and_line(esk1_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_28) ).

cnf(i_0_27,negated_conjecture,
    incident_point_and_line(esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2yg0bppu/lgb.p',i_0_27) ).

cnf(c_0_49,negated_conjecture,
    ~ equal_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
    i_0_26 ).

cnf(c_0_50,plain,
    ( distinct_lines(X1,X2)
    | equal_lines(X1,X2) ),
    i_0_14 ).

cnf(c_0_51,plain,
    ( distinct_points(X1,X2)
    | distinct_points(X3,X2)
    | ~ distinct_points(X3,X1) ),
    i_0_10 ).

cnf(c_0_52,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    i_0_29 ).

cnf(c_0_53,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_37 ).

cnf(c_0_54,negated_conjecture,
    distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,plain,
    ~ distinct_points(X1,X1),
    i_0_7 ).

cnf(c_0_56,negated_conjecture,
    ( distinct_points(esk1_0,X1)
    | distinct_points(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,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(X1,esk3_0)
    | apart_point_and_line(X2,esk3_0)
    | ~ distinct_points(X1,X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_58,plain,
    distinct_points(esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_59,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    i_0_20 ).

cnf(c_0_60,plain,
    ( apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk1_0,esk3_0)
    | apart_point_and_line(esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    i_0_21 ).

cnf(c_0_62,plain,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk2_0,esk3_0)
    | apart_point_and_line(esk1_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_52])]) ).

cnf(c_0_63,plain,
    ( ~ incident_point_and_line(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    i_0_4 ).

cnf(c_0_64,plain,
    ( apart_point_and_line(esk1_0,esk3_0)
    | apart_point_and_line(esk2_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_52])]) ).

cnf(c_0_65,negated_conjecture,
    incident_point_and_line(esk1_0,esk3_0),
    i_0_28 ).

cnf(c_0_66,plain,
    apart_point_and_line(esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).

cnf(c_0_67,negated_conjecture,
    incident_point_and_line(esk2_0,esk3_0),
    i_0_27 ).

cnf(c_0_68,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_66]),c_0_67])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO170+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 15:49:24 EDT 2022
% 0.13/0.35  % 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
% 9.07/2.68  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.07/2.68  # No SInE strategy applied
% 9.07/2.68  # Trying AutoSched0 for 150 seconds
% 9.07/2.68  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_S5PRR_SE_Q4_CS_SP_S4S
% 9.07/2.68  # and selection function SelectNewComplexAHPNS.
% 9.07/2.68  #
% 9.07/2.68  # Preprocessing time       : 0.012 s
% 9.07/2.68  
% 9.07/2.68  # Proof found!
% 9.07/2.68  # SZS status Theorem
% 9.07/2.68  # SZS output start CNFRefutation
% See solution above
% 9.07/2.68  # Training examples: 0 positive, 0 negative
% 9.07/2.68  
% 9.07/2.68  # -------------------------------------------------
% 9.07/2.68  # User time                : 0.017 s
% 9.07/2.68  # System time              : 0.002 s
% 9.07/2.68  # Total time               : 0.019 s
% 9.07/2.68  # Maximum resident set size: 7128 pages
% 9.07/2.68  
%------------------------------------------------------------------------------