TSTP Solution File: GEO190+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 03:44:09 EDT 2022

% Result   : Theorem 8.31s 2.53s
% Output   : CNFRefutation 8.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  11 unt;  10 nHn;  12 RR)
%            Number of literals    :   40 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 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   :   36 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,negated_conjecture,
    ~ incident_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z1rg8yyw/input.p',i_0_26) ).

cnf(i_0_3,plain,
    ( incident_point_and_line(X1,X2)
    | apart_point_and_line(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z1rg8yyw/input.p',i_0_3) ).

cnf(i_0_18,plain,
    ( apart_point_and_line(X1,X2)
    | distinct_lines(X3,X2)
    | ~ apart_point_and_line(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z1rg8yyw/input.p',i_0_18) ).

cnf(i_0_11,plain,
    ( distinct_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ distinct_lines(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z1rg8yyw/input.p',i_0_11) ).

cnf(i_0_8,plain,
    ~ distinct_lines(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z1rg8yyw/input.p',i_0_8) ).

cnf(i_0_50,plain,
    ( convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z1rg8yyw/input.p',i_0_50) ).

cnf(i_0_36,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z1rg8yyw/input.p',i_0_36) ).

cnf(i_0_37,plain,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-z1rg8yyw/input.p',i_0_37) ).

cnf(c_0_59,negated_conjecture,
    ~ incident_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)),
    i_0_26 ).

cnf(c_0_60,plain,
    ( incident_point_and_line(X1,X2)
    | apart_point_and_line(X1,X2) ),
    i_0_3 ).

cnf(c_0_61,plain,
    ( apart_point_and_line(X1,X2)
    | distinct_lines(X3,X2)
    | ~ apart_point_and_line(X1,X3) ),
    i_0_18 ).

cnf(c_0_62,negated_conjecture,
    apart_point_and_line(esk3_0,line_connecting(esk2_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,plain,
    ( distinct_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ distinct_lines(X3,X1) ),
    i_0_11 ).

cnf(c_0_64,plain,
    ( apart_point_and_line(esk3_0,X1)
    | distinct_lines(line_connecting(esk2_0,esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,plain,
    ~ distinct_lines(X1,X1),
    i_0_8 ).

cnf(c_0_66,plain,
    ( apart_point_and_line(esk3_0,X1)
    | distinct_lines(line_connecting(esk2_0,esk1_0),X2)
    | distinct_lines(X1,X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    ( convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    i_0_50 ).

cnf(c_0_68,plain,
    ( apart_point_and_line(esk3_0,X1)
    | distinct_lines(X1,line_connecting(esk2_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    i_0_36 ).

cnf(c_0_70,plain,
    ( apart_point_and_line(esk3_0,X1)
    | convergent_lines(X1,line_connecting(esk2_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,plain,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    i_0_37 ).

cnf(c_0_72,plain,
    apart_point_and_line(esk3_0,parallel_through_point(line_connecting(esk2_0,esk1_0),X1)),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,plain,
    $false,
    inference(spm,[status(thm)],[c_0_71,c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Fri Jun 17 20:08:43 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected SinE mode:
% 0.21/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.31/2.53  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 8.31/2.53  # Version: 2.1pre011
% 8.31/2.53  # Preprocessing time       : 0.013 s
% 8.31/2.53  
% 8.31/2.53  # Proof found!
% 8.31/2.53  # SZS status Theorem
% 8.31/2.53  # SZS output start CNFRefutation
% See solution above
% 8.31/2.53  # Proof object total steps             : 23
% 8.31/2.53  # Proof object clause steps            : 15
% 8.31/2.53  # Proof object formula steps           : 8
% 8.31/2.53  # Proof object conjectures             : 3
% 8.31/2.53  # Proof object clause conjectures      : 2
% 8.31/2.53  # Proof object formula conjectures     : 1
% 8.31/2.53  # Proof object initial clauses used    : 8
% 8.31/2.53  # Proof object initial formulas used   : 8
% 8.31/2.53  # Proof object generating inferences   : 7
% 8.31/2.53  # Proof object simplifying inferences  : 0
% 8.31/2.53  # Training examples: 0 positive, 0 negative
% 8.31/2.53  # Parsed axioms                        : 51
% 8.31/2.53  # Removed by relevancy pruning/SinE    : 0
% 8.31/2.53  # Initial clauses                      : 51
% 8.31/2.53  # Removed in clause preprocessing      : 0
% 8.31/2.53  # Initial clauses in saturation        : 51
% 8.31/2.53  # Processed clauses                    : 127
% 8.31/2.53  # ...of these trivial                  : 2
% 8.31/2.53  # ...subsumed                          : 37
% 8.31/2.53  # ...remaining for further processing  : 88
% 8.31/2.53  # Other redundant clauses eliminated   : 0
% 8.31/2.53  # Clauses deleted for lack of memory   : 0
% 8.31/2.53  # Backward-subsumed                    : 0
% 8.31/2.53  # Backward-rewritten                   : 2
% 8.31/2.53  # Generated clauses                    : 273
% 8.31/2.53  # ...of the previous two non-trivial   : 216
% 8.31/2.53  # Contextual simplify-reflections      : 4
% 8.31/2.53  # Paramodulations                      : 195
% 8.31/2.53  # Factorizations                       : 78
% 8.31/2.53  # Equation resolutions                 : 0
% 8.31/2.53  # Propositional unsat checks           : 0
% 8.31/2.53  # Propositional unsat check successes  : 0
% 8.31/2.53  # Current number of processed clauses  : 86
% 8.31/2.53  #    Positive orientable unit clauses  : 10
% 8.31/2.53  #    Positive unorientable unit clauses: 0
% 8.31/2.53  #    Negative unit clauses             : 9
% 8.31/2.53  #    Non-unit-clauses                  : 67
% 8.31/2.53  # Current number of unprocessed clauses: 136
% 8.31/2.53  # ...number of literals in the above   : 511
% 8.31/2.53  # Current number of archived formulas  : 0
% 8.31/2.53  # Current number of archived clauses   : 2
% 8.31/2.53  # Clause-clause subsumption calls (NU) : 1033
% 8.31/2.53  # Rec. Clause-clause subsumption calls : 585
% 8.31/2.53  # Non-unit clause-clause subsumptions  : 31
% 8.31/2.53  # Unit Clause-clause subsumption calls : 36
% 8.31/2.53  # Rewrite failures with RHS unbound    : 0
% 8.31/2.53  # BW rewrite match attempts            : 1
% 8.31/2.53  # BW rewrite match successes           : 1
% 8.31/2.53  # Condensation attempts                : 0
% 8.31/2.53  # Condensation successes               : 0
% 8.31/2.53  # Termbank termtop insertions          : 3398
% 8.31/2.53  
% 8.31/2.53  # -------------------------------------------------
% 8.31/2.53  # User time                : 0.013 s
% 8.31/2.53  # System time              : 0.003 s
% 8.31/2.53  # Total time               : 0.017 s
% 8.31/2.53  # ...preprocessing         : 0.013 s
% 8.31/2.53  # ...main loop             : 0.004 s
% 8.31/2.53  # Maximum resident set size: 7140 pages
% 8.31/2.53  
%------------------------------------------------------------------------------