TSTP Solution File: GEO206+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 03:44:24 EDT 2022

% Result   : Theorem 6.85s 2.07s
% Output   : CNFRefutation 6.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  10 unt;   5 nHn;  14 RR)
%            Number of literals    :   30 (   0 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,negated_conjecture,
    ~ equal_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_5678_n/input.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-b_5678_n/input.p',i_0_14) ).

cnf(i_0_48,plain,
    ( convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_5678_n/input.p',i_0_48) ).

cnf(i_0_16,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_5678_n/input.p',i_0_16) ).

cnf(i_0_2,plain,
    ( ~ parallel_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_5678_n/input.p',i_0_2) ).

cnf(i_0_27,negated_conjecture,
    parallel_lines(esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_5678_n/input.p',i_0_27) ).

cnf(i_0_34,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b_5678_n/input.p',i_0_34) ).

cnf(c_0_56,negated_conjecture,
    ~ equal_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    i_0_26 ).

cnf(c_0_57,plain,
    ( distinct_lines(X1,X2)
    | equal_lines(X1,X2) ),
    i_0_14 ).

cnf(c_0_58,plain,
    ( convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    i_0_48 ).

cnf(c_0_59,negated_conjecture,
    distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_60,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    i_0_16 ).

cnf(c_0_61,plain,
    convergent_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,plain,
    ( ~ parallel_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    i_0_2 ).

cnf(c_0_63,negated_conjecture,
    parallel_lines(esk2_0,esk3_0),
    i_0_27 ).

cnf(c_0_64,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    i_0_34 ).

cnf(c_0_65,plain,
    ( convergent_lines(parallel_through_point(esk3_0,esk1_0),X1)
    | convergent_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ~ convergent_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_67,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.00/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Sat Jun 18 15:30:48 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.36  # ENIGMATIC: Selected SinE mode:
% 0.13/0.37  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.13/0.37  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.13/0.37  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.85/2.07  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 6.85/2.07  # Version: 2.1pre011
% 6.85/2.07  # Preprocessing time       : 0.010 s
% 6.85/2.07  
% 6.85/2.07  # Proof found!
% 6.85/2.07  # SZS status Theorem
% 6.85/2.07  # SZS output start CNFRefutation
% See solution above
% 6.85/2.07  # Proof object total steps             : 19
% 6.85/2.07  # Proof object clause steps            : 12
% 6.85/2.07  # Proof object formula steps           : 7
% 6.85/2.07  # Proof object conjectures             : 6
% 6.85/2.07  # Proof object clause conjectures      : 4
% 6.85/2.07  # Proof object formula conjectures     : 2
% 6.85/2.07  # Proof object initial clauses used    : 7
% 6.85/2.07  # Proof object initial formulas used   : 7
% 6.85/2.07  # Proof object generating inferences   : 5
% 6.85/2.07  # Proof object simplifying inferences  : 1
% 6.85/2.07  # Training examples: 0 positive, 0 negative
% 6.85/2.07  # Parsed axioms                        : 49
% 6.85/2.07  # Removed by relevancy pruning/SinE    : 0
% 6.85/2.07  # Initial clauses                      : 49
% 6.85/2.07  # Removed in clause preprocessing      : 0
% 6.85/2.07  # Initial clauses in saturation        : 49
% 6.85/2.07  # Processed clauses                    : 57
% 6.85/2.07  # ...of these trivial                  : 0
% 6.85/2.07  # ...subsumed                          : 4
% 6.85/2.07  # ...remaining for further processing  : 53
% 6.85/2.07  # Other redundant clauses eliminated   : 0
% 6.85/2.07  # Clauses deleted for lack of memory   : 0
% 6.85/2.07  # Backward-subsumed                    : 0
% 6.85/2.07  # Backward-rewritten                   : 0
% 6.85/2.07  # Generated clauses                    : 42
% 6.85/2.07  # ...of the previous two non-trivial   : 28
% 6.85/2.07  # Contextual simplify-reflections      : 4
% 6.85/2.07  # Paramodulations                      : 42
% 6.85/2.07  # Factorizations                       : 0
% 6.85/2.07  # Equation resolutions                 : 0
% 6.85/2.07  # Propositional unsat checks           : 0
% 6.85/2.07  # Propositional unsat check successes  : 0
% 6.85/2.07  # Current number of processed clauses  : 53
% 6.85/2.07  #    Positive orientable unit clauses  : 5
% 6.85/2.07  #    Positive unorientable unit clauses: 0
% 6.85/2.07  #    Negative unit clauses             : 10
% 6.85/2.07  #    Non-unit-clauses                  : 38
% 6.85/2.07  # Current number of unprocessed clauses: 17
% 6.85/2.07  # ...number of literals in the above   : 58
% 6.85/2.07  # Current number of archived formulas  : 0
% 6.85/2.07  # Current number of archived clauses   : 0
% 6.85/2.07  # Clause-clause subsumption calls (NU) : 265
% 6.85/2.07  # Rec. Clause-clause subsumption calls : 143
% 6.85/2.07  # Non-unit clause-clause subsumptions  : 8
% 6.85/2.07  # Unit Clause-clause subsumption calls : 34
% 6.85/2.07  # Rewrite failures with RHS unbound    : 0
% 6.85/2.07  # BW rewrite match attempts            : 0
% 6.85/2.07  # BW rewrite match successes           : 0
% 6.85/2.07  # Condensation attempts                : 0
% 6.85/2.07  # Condensation successes               : 0
% 6.85/2.07  # Termbank termtop insertions          : 1478
% 6.85/2.07  
% 6.85/2.07  # -------------------------------------------------
% 6.85/2.07  # User time                : 0.009 s
% 6.85/2.07  # System time              : 0.003 s
% 6.85/2.07  # Total time               : 0.011 s
% 6.85/2.07  # ...preprocessing         : 0.010 s
% 6.85/2.07  # ...main loop             : 0.001 s
% 6.85/2.07  # Maximum resident set size: 7124 pages
% 6.85/2.07  
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