TSTP Solution File: GEO203+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 03:44:21 EDT 2022

% Result   : Theorem 7.69s 2.37s
% Output   : CNFRefutation 7.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  10 unt;   6 nHn;  22 RR)
%            Number of literals    :   48 (   0 equ;  17 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_18,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-wuvevwbi/input.p',i_0_18) ).

cnf(i_0_14,negated_conjecture,
    distinct_lines(line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)),esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wuvevwbi/input.p',i_0_14) ).

cnf(i_0_15,negated_conjecture,
    distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wuvevwbi/input.p',i_0_15) ).

cnf(i_0_11,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wuvevwbi/input.p',i_0_11) ).

cnf(i_0_10,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wuvevwbi/input.p',i_0_10) ).

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-wuvevwbi/input.p',i_0_12) ).

cnf(i_0_16,negated_conjecture,
    convergent_lines(esk1_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wuvevwbi/input.p',i_0_16) ).

cnf(i_0_17,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wuvevwbi/input.p',i_0_17) ).

cnf(c_0_27,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_18 ).

cnf(c_0_28,negated_conjecture,
    distinct_lines(line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)),esk1_0),
    i_0_14 ).

cnf(c_0_29,negated_conjecture,
    ( apart_point_and_line(X1,line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
    | apart_point_and_line(X2,line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
    | apart_point_and_line(X1,esk1_0)
    | apart_point_and_line(X2,esk1_0)
    | ~ distinct_points(X1,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    distinct_points(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)),
    i_0_15 ).

cnf(c_0_31,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    i_0_11 ).

cnf(c_0_32,negated_conjecture,
    ( apart_point_and_line(intersection_point(esk1_0,esk3_0),line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
    | apart_point_and_line(intersection_point(esk1_0,esk2_0),line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
    | apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0)
    | apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    i_0_10 ).

cnf(c_0_34,plain,
    ( apart_point_and_line(intersection_point(esk1_0,esk2_0),line_connecting(intersection_point(esk1_0,esk2_0),intersection_point(esk1_0,esk3_0)))
    | apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0)
    | apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_30])]) ).

cnf(c_0_35,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    i_0_12 ).

cnf(c_0_36,plain,
    ( apart_point_and_line(intersection_point(esk1_0,esk3_0),esk1_0)
    | apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30])]) ).

cnf(c_0_37,negated_conjecture,
    convergent_lines(esk1_0,esk3_0),
    i_0_16 ).

cnf(c_0_38,plain,
    apart_point_and_line(intersection_point(esk1_0,esk2_0),esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_39,negated_conjecture,
    convergent_lines(esk1_0,esk2_0),
    i_0_17 ).

cnf(c_0_40,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n006.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 06:10:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.69/2.37  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.69/2.37  # Version: 2.1pre011
% 7.69/2.37  # Preprocessing time       : 0.012 s
% 7.69/2.37  
% 7.69/2.37  # Proof found!
% 7.69/2.37  # SZS status Theorem
% 7.69/2.37  # SZS output start CNFRefutation
% See solution above
% 7.69/2.37  # Proof object total steps             : 22
% 7.69/2.37  # Proof object clause steps            : 14
% 7.69/2.37  # Proof object formula steps           : 8
% 7.69/2.37  # Proof object conjectures             : 10
% 7.69/2.37  # Proof object clause conjectures      : 6
% 7.69/2.37  # Proof object formula conjectures     : 4
% 7.69/2.37  # Proof object initial clauses used    : 8
% 7.69/2.37  # Proof object initial formulas used   : 8
% 7.69/2.37  # Proof object generating inferences   : 6
% 7.69/2.37  # Proof object simplifying inferences  : 8
% 7.69/2.37  # Training examples: 0 positive, 0 negative
% 7.69/2.37  # Parsed axioms                        : 18
% 7.69/2.37  # Removed by relevancy pruning/SinE    : 0
% 7.69/2.37  # Initial clauses                      : 18
% 7.69/2.37  # Removed in clause preprocessing      : 0
% 7.69/2.37  # Initial clauses in saturation        : 18
% 7.69/2.37  # Processed clauses                    : 43
% 7.69/2.37  # ...of these trivial                  : 0
% 7.69/2.37  # ...subsumed                          : 5
% 7.69/2.37  # ...remaining for further processing  : 38
% 7.69/2.37  # Other redundant clauses eliminated   : 0
% 7.69/2.37  # Clauses deleted for lack of memory   : 0
% 7.69/2.37  # Backward-subsumed                    : 2
% 7.69/2.37  # Backward-rewritten                   : 1
% 7.69/2.37  # Generated clauses                    : 90
% 7.69/2.37  # ...of the previous two non-trivial   : 76
% 7.69/2.37  # Contextual simplify-reflections      : 0
% 7.69/2.37  # Paramodulations                      : 84
% 7.69/2.37  # Factorizations                       : 6
% 7.69/2.37  # Equation resolutions                 : 0
% 7.69/2.37  # Propositional unsat checks           : 0
% 7.69/2.37  # Propositional unsat check successes  : 0
% 7.69/2.37  # Current number of processed clauses  : 35
% 7.69/2.37  #    Positive orientable unit clauses  : 6
% 7.69/2.37  #    Positive unorientable unit clauses: 0
% 7.69/2.37  #    Negative unit clauses             : 3
% 7.69/2.37  #    Non-unit-clauses                  : 26
% 7.69/2.37  # Current number of unprocessed clauses: 43
% 7.69/2.37  # ...number of literals in the above   : 174
% 7.69/2.37  # Current number of archived formulas  : 0
% 7.69/2.37  # Current number of archived clauses   : 3
% 7.69/2.37  # Clause-clause subsumption calls (NU) : 78
% 7.69/2.37  # Rec. Clause-clause subsumption calls : 45
% 7.69/2.37  # Non-unit clause-clause subsumptions  : 7
% 7.69/2.37  # Unit Clause-clause subsumption calls : 2
% 7.69/2.37  # Rewrite failures with RHS unbound    : 0
% 7.69/2.37  # BW rewrite match attempts            : 1
% 7.69/2.37  # BW rewrite match successes           : 1
% 7.69/2.37  # Condensation attempts                : 0
% 7.69/2.37  # Condensation successes               : 0
% 7.69/2.37  # Termbank termtop insertions          : 1444
% 7.69/2.37  
% 7.69/2.37  # -------------------------------------------------
% 7.69/2.37  # User time                : 0.006 s
% 7.69/2.37  # System time              : 0.007 s
% 7.69/2.37  # Total time               : 0.013 s
% 7.69/2.37  # ...preprocessing         : 0.012 s
% 7.69/2.37  # ...main loop             : 0.002 s
% 7.69/2.37  # Maximum resident set size: 7136 pages
% 7.69/2.37  
%------------------------------------------------------------------------------