TSTP Solution File: GEO206+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 03:44:23 EDT 2022

% Result   : Theorem 6.22s 1.95s
% Output   : CNFRefutation 6.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  11 unt;   7 nHn;  11 RR)
%            Number of literals    :   34 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   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   :   24 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_20,plain,
    ( convergent_lines(X1,X2)
    | apart_point_and_line(X3,X2)
    | apart_point_and_line(X3,X1)
    | ~ distinct_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v5p04jcx/input.p',i_0_20) ).

cnf(i_0_14,negated_conjecture,
    distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v5p04jcx/input.p',i_0_14) ).

cnf(i_0_6,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v5p04jcx/input.p',i_0_6) ).

cnf(i_0_17,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v5p04jcx/input.p',i_0_17) ).

cnf(i_0_15,negated_conjecture,
    ~ convergent_lines(esk2_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v5p04jcx/input.p',i_0_15) ).

cnf(i_0_18,plain,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v5p04jcx/input.p',i_0_18) ).

cnf(i_0_16,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-v5p04jcx/input.p',i_0_16) ).

cnf(c_0_28,plain,
    ( convergent_lines(X1,X2)
    | apart_point_and_line(X3,X2)
    | apart_point_and_line(X3,X1)
    | ~ distinct_lines(X1,X2) ),
    i_0_20 ).

cnf(c_0_29,negated_conjecture,
    distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    i_0_14 ).

cnf(c_0_30,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    i_0_6 ).

cnf(c_0_31,negated_conjecture,
    ( apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
    | apart_point_and_line(X1,esk2_0)
    | convergent_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    i_0_17 ).

cnf(c_0_33,plain,
    ( apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
    | apart_point_and_line(X1,esk2_0)
    | convergent_lines(parallel_through_point(esk3_0,esk1_0),X2)
    | convergent_lines(esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ~ convergent_lines(esk2_0,esk3_0),
    i_0_15 ).

cnf(c_0_35,plain,
    ~ apart_point_and_line(X1,parallel_through_point(X2,X1)),
    i_0_18 ).

cnf(c_0_36,plain,
    ( apart_point_and_line(X1,parallel_through_point(esk3_0,esk1_0))
    | apart_point_and_line(X1,esk2_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk2_0),
    i_0_16 ).

cnf(c_0_38,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 02:22:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.22/1.95  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 6.22/1.95  # Version: 2.1pre011
% 6.22/1.95  # Preprocessing time       : 0.009 s
% 6.22/1.95  
% 6.22/1.95  # Proof found!
% 6.22/1.95  # SZS status Theorem
% 6.22/1.95  # SZS output start CNFRefutation
% See solution above
% 6.22/1.95  # Proof object total steps             : 18
% 6.22/1.95  # Proof object clause steps            : 11
% 6.22/1.95  # Proof object formula steps           : 7
% 6.22/1.95  # Proof object conjectures             : 7
% 6.22/1.95  # Proof object clause conjectures      : 4
% 6.22/1.95  # Proof object formula conjectures     : 3
% 6.22/1.95  # Proof object initial clauses used    : 7
% 6.22/1.95  # Proof object initial formulas used   : 7
% 6.22/1.95  # Proof object generating inferences   : 4
% 6.22/1.95  # Proof object simplifying inferences  : 2
% 6.22/1.95  # Training examples: 0 positive, 0 negative
% 6.22/1.95  # Parsed axioms                        : 20
% 6.22/1.95  # Removed by relevancy pruning/SinE    : 0
% 6.22/1.95  # Initial clauses                      : 20
% 6.22/1.95  # Removed in clause preprocessing      : 0
% 6.22/1.95  # Initial clauses in saturation        : 20
% 6.22/1.95  # Processed clauses                    : 61
% 6.22/1.95  # ...of these trivial                  : 0
% 6.22/1.95  # ...subsumed                          : 10
% 6.22/1.95  # ...remaining for further processing  : 51
% 6.22/1.95  # Other redundant clauses eliminated   : 0
% 6.22/1.95  # Clauses deleted for lack of memory   : 0
% 6.22/1.95  # Backward-subsumed                    : 4
% 6.22/1.95  # Backward-rewritten                   : 2
% 6.22/1.95  # Generated clauses                    : 271
% 6.22/1.95  # ...of the previous two non-trivial   : 250
% 6.22/1.95  # Contextual simplify-reflections      : 0
% 6.22/1.95  # Paramodulations                      : 219
% 6.22/1.95  # Factorizations                       : 52
% 6.22/1.95  # Equation resolutions                 : 0
% 6.22/1.95  # Propositional unsat checks           : 0
% 6.22/1.95  # Propositional unsat check successes  : 0
% 6.22/1.95  # Current number of processed clauses  : 45
% 6.22/1.95  #    Positive orientable unit clauses  : 2
% 6.22/1.95  #    Positive unorientable unit clauses: 0
% 6.22/1.95  #    Negative unit clauses             : 7
% 6.22/1.95  #    Non-unit-clauses                  : 36
% 6.22/1.95  # Current number of unprocessed clauses: 176
% 6.22/1.95  # ...number of literals in the above   : 829
% 6.22/1.95  # Current number of archived formulas  : 0
% 6.22/1.95  # Current number of archived clauses   : 6
% 6.22/1.95  # Clause-clause subsumption calls (NU) : 335
% 6.22/1.95  # Rec. Clause-clause subsumption calls : 156
% 6.22/1.95  # Non-unit clause-clause subsumptions  : 12
% 6.22/1.95  # Unit Clause-clause subsumption calls : 11
% 6.22/1.95  # Rewrite failures with RHS unbound    : 0
% 6.22/1.95  # BW rewrite match attempts            : 1
% 6.22/1.95  # BW rewrite match successes           : 1
% 6.22/1.95  # Condensation attempts                : 0
% 6.22/1.95  # Condensation successes               : 0
% 6.22/1.95  # Termbank termtop insertions          : 3337
% 6.22/1.95  
% 6.22/1.95  # -------------------------------------------------
% 6.22/1.95  # User time                : 0.011 s
% 6.22/1.95  # System time              : 0.002 s
% 6.22/1.95  # Total time               : 0.013 s
% 6.22/1.95  # ...preprocessing         : 0.009 s
% 6.22/1.95  # ...main loop             : 0.004 s
% 6.22/1.95  # Maximum resident set size: 7132 pages
% 6.22/1.95  
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