TSTP Solution File: GEO175+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 03:43:56 EDT 2022

% Result   : Theorem 7.48s 2.35s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  12 unt;   5 nHn;  25 RR)
%            Number of literals    :   57 (   0 equ;  27 neg)
%            Maximal clause size   :    6 (   2 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   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_19,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-k75333fx/input.p',i_0_19) ).

cnf(i_0_9,plain,
    ( distinct_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k75333fx/input.p',i_0_9) ).

cnf(i_0_17,negated_conjecture,
    convergent_lines(esk3_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k75333fx/input.p',i_0_17) ).

cnf(i_0_1,plain,
    ~ distinct_points(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k75333fx/input.p',i_0_1) ).

cnf(i_0_12,plain,
    ( distinct_points(X1,intersection_point(X2,X3))
    | ~ convergent_lines(X2,X3)
    | ~ apart_point_and_line(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k75333fx/input.p',i_0_12) ).

cnf(i_0_16,negated_conjecture,
    distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k75333fx/input.p',i_0_16) ).

cnf(i_0_14,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k75333fx/input.p',i_0_14) ).

cnf(i_0_15,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k75333fx/input.p',i_0_15) ).

cnf(i_0_13,plain,
    ( distinct_points(X1,intersection_point(X2,X3))
    | ~ convergent_lines(X2,X3)
    | ~ apart_point_and_line(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k75333fx/input.p',i_0_13) ).

cnf(c_0_29,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_19 ).

cnf(c_0_30,plain,
    ( distinct_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    i_0_9 ).

cnf(c_0_31,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)
    | ~ convergent_lines(X2,X3)
    | ~ distinct_points(X1,X4) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    convergent_lines(esk3_0,esk4_0),
    i_0_17 ).

cnf(c_0_33,plain,
    ~ distinct_points(X1,X1),
    i_0_1 ).

cnf(c_0_34,plain,
    ( distinct_points(X1,intersection_point(X2,X3))
    | ~ convergent_lines(X2,X3)
    | ~ apart_point_and_line(X1,X3) ),
    i_0_12 ).

cnf(c_0_35,negated_conjecture,
    ( apart_point_and_line(X1,esk4_0)
    | apart_point_and_line(X1,esk3_0)
    | apart_point_and_line(X2,esk4_0)
    | apart_point_and_line(X2,esk3_0)
    | ~ distinct_points(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
    i_0_16 ).

cnf(c_0_37,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk4_0),
    i_0_14 ).

cnf(c_0_38,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk3_0),
    i_0_15 ).

cnf(c_0_39,plain,
    ( distinct_points(X1,intersection_point(X2,X3))
    | ~ convergent_lines(X2,X3)
    | ~ apart_point_and_line(X1,X2) ),
    i_0_13 ).

cnf(c_0_40,plain,
    ( ~ apart_point_and_line(intersection_point(X1,X2),X2)
    | ~ convergent_lines(X1,X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).

cnf(c_0_42,plain,
    ( ~ apart_point_and_line(intersection_point(X1,X2),X1)
    | ~ convergent_lines(X1,X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_39]) ).

cnf(c_0_43,plain,
    apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_32])]) ).

cnf(c_0_44,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n011.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 12:41:54 EDT 2022
% 0.14/0.35  % 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
% 7.48/2.35  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.48/2.35  # Version: 2.1pre011
% 7.48/2.35  # Preprocessing time       : 0.011 s
% 7.48/2.35  
% 7.48/2.35  # Proof found!
% 7.48/2.35  # SZS status Theorem
% 7.48/2.35  # SZS output start CNFRefutation
% See solution above
% 7.48/2.35  # Proof object total steps             : 25
% 7.48/2.35  # Proof object clause steps            : 16
% 7.48/2.35  # Proof object formula steps           : 9
% 7.48/2.35  # Proof object conjectures             : 10
% 7.48/2.35  # Proof object clause conjectures      : 6
% 7.48/2.35  # Proof object formula conjectures     : 4
% 7.48/2.35  # Proof object initial clauses used    : 9
% 7.48/2.35  # Proof object initial formulas used   : 9
% 7.48/2.35  # Proof object generating inferences   : 7
% 7.48/2.35  # Proof object simplifying inferences  : 6
% 7.48/2.35  # Training examples: 0 positive, 0 negative
% 7.48/2.35  # Parsed axioms                        : 19
% 7.48/2.35  # Removed by relevancy pruning/SinE    : 0
% 7.48/2.35  # Initial clauses                      : 19
% 7.48/2.35  # Removed in clause preprocessing      : 0
% 7.48/2.35  # Initial clauses in saturation        : 19
% 7.48/2.35  # Processed clauses                    : 63
% 7.48/2.35  # ...of these trivial                  : 0
% 7.48/2.35  # ...subsumed                          : 11
% 7.48/2.35  # ...remaining for further processing  : 52
% 7.48/2.35  # Other redundant clauses eliminated   : 0
% 7.48/2.35  # Clauses deleted for lack of memory   : 0
% 7.48/2.35  # Backward-subsumed                    : 0
% 7.48/2.35  # Backward-rewritten                   : 1
% 7.48/2.35  # Generated clauses                    : 239
% 7.48/2.35  # ...of the previous two non-trivial   : 206
% 7.48/2.35  # Contextual simplify-reflections      : 0
% 7.48/2.35  # Paramodulations                      : 183
% 7.48/2.35  # Factorizations                       : 56
% 7.48/2.35  # Equation resolutions                 : 0
% 7.48/2.35  # Propositional unsat checks           : 0
% 7.48/2.35  # Propositional unsat check successes  : 0
% 7.48/2.35  # Current number of processed clauses  : 51
% 7.48/2.35  #    Positive orientable unit clauses  : 6
% 7.48/2.35  #    Positive unorientable unit clauses: 0
% 7.48/2.35  #    Negative unit clauses             : 5
% 7.48/2.35  #    Non-unit-clauses                  : 40
% 7.48/2.35  # Current number of unprocessed clauses: 154
% 7.48/2.35  # ...number of literals in the above   : 676
% 7.48/2.35  # Current number of archived formulas  : 0
% 7.48/2.35  # Current number of archived clauses   : 1
% 7.48/2.35  # Clause-clause subsumption calls (NU) : 246
% 7.48/2.35  # Rec. Clause-clause subsumption calls : 140
% 7.48/2.35  # Non-unit clause-clause subsumptions  : 10
% 7.48/2.35  # Unit Clause-clause subsumption calls : 8
% 7.48/2.35  # Rewrite failures with RHS unbound    : 0
% 7.48/2.35  # BW rewrite match attempts            : 1
% 7.48/2.35  # BW rewrite match successes           : 1
% 7.48/2.35  # Condensation attempts                : 0
% 7.48/2.35  # Condensation successes               : 0
% 7.48/2.35  # Termbank termtop insertions          : 2869
% 7.48/2.35  
% 7.48/2.35  # -------------------------------------------------
% 7.48/2.35  # User time                : 0.010 s
% 7.48/2.35  # System time              : 0.004 s
% 7.48/2.35  # Total time               : 0.014 s
% 7.48/2.35  # ...preprocessing         : 0.011 s
% 7.48/2.35  # ...main loop             : 0.003 s
% 7.48/2.35  # Maximum resident set size: 7128 pages
% 7.48/2.35  
%------------------------------------------------------------------------------