TSTP Solution File: GEO178+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 03:43:59 EDT 2022

% Result   : Theorem 6.57s 2.28s
% Output   : CNFRefutation 6.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   7 unt;   3 nHn;  13 RR)
%            Number of literals    :   27 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
    ( apart_point_and_line(X1,X2)
    | distinct_points(X3,X1)
    | ~ apart_point_and_line(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ip4a_3/input.p',i_0_17) ).

cnf(i_0_27,negated_conjecture,
    apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ip4a_3/input.p',i_0_27) ).

cnf(i_0_20,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ip4a_3/input.p',i_0_20) ).

cnf(i_0_28,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ip4a_3/input.p',i_0_28) ).

cnf(i_0_26,negated_conjecture,
    ( ~ distinct_points(esk3_0,esk1_0)
    | ~ distinct_points(esk3_0,esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ip4a_3/input.p',i_0_26) ).

cnf(i_0_21,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j2ip4a_3/input.p',i_0_21) ).

cnf(c_0_35,plain,
    ( apart_point_and_line(X1,X2)
    | distinct_points(X3,X1)
    | ~ apart_point_and_line(X3,X2) ),
    i_0_17 ).

cnf(c_0_36,negated_conjecture,
    apart_point_and_line(esk3_0,line_connecting(esk1_0,esk2_0)),
    i_0_27 ).

cnf(c_0_37,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    i_0_20 ).

cnf(c_0_38,negated_conjecture,
    ( apart_point_and_line(X1,line_connecting(esk1_0,esk2_0))
    | distinct_points(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    i_0_28 ).

cnf(c_0_40,negated_conjecture,
    ( ~ distinct_points(esk3_0,esk1_0)
    | ~ distinct_points(esk3_0,esk2_0) ),
    i_0_26 ).

cnf(c_0_41,plain,
    distinct_points(esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

cnf(c_0_42,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    i_0_21 ).

cnf(c_0_43,negated_conjecture,
    ~ distinct_points(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).

cnf(c_0_44,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_39])]),c_0_43]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO178+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 19:10:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.57/2.28  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 6.57/2.28  # Version: 2.1pre011
% 6.57/2.28  # Preprocessing time       : 0.010 s
% 6.57/2.28  
% 6.57/2.28  # Proof found!
% 6.57/2.28  # SZS status Theorem
% 6.57/2.28  # SZS output start CNFRefutation
% See solution above
% 6.57/2.28  # Proof object total steps             : 16
% 6.57/2.28  # Proof object clause steps            : 10
% 6.57/2.28  # Proof object formula steps           : 6
% 6.57/2.28  # Proof object conjectures             : 8
% 6.57/2.28  # Proof object clause conjectures      : 5
% 6.57/2.28  # Proof object formula conjectures     : 3
% 6.57/2.28  # Proof object initial clauses used    : 6
% 6.57/2.28  # Proof object initial formulas used   : 6
% 6.57/2.28  # Proof object generating inferences   : 3
% 6.57/2.28  # Proof object simplifying inferences  : 7
% 6.57/2.28  # Training examples: 0 positive, 0 negative
% 6.57/2.28  # Parsed axioms                        : 49
% 6.57/2.28  # Removed by relevancy pruning/SinE    : 0
% 6.57/2.28  # Initial clauses                      : 49
% 6.57/2.28  # Removed in clause preprocessing      : 0
% 6.57/2.28  # Initial clauses in saturation        : 49
% 6.57/2.28  # Processed clauses                    : 54
% 6.57/2.28  # ...of these trivial                  : 0
% 6.57/2.28  # ...subsumed                          : 4
% 6.57/2.28  # ...remaining for further processing  : 49
% 6.57/2.28  # Other redundant clauses eliminated   : 0
% 6.57/2.28  # Clauses deleted for lack of memory   : 0
% 6.57/2.28  # Backward-subsumed                    : 0
% 6.57/2.28  # Backward-rewritten                   : 1
% 6.57/2.28  # Generated clauses                    : 25
% 6.57/2.28  # ...of the previous two non-trivial   : 15
% 6.57/2.28  # Contextual simplify-reflections      : 4
% 6.57/2.28  # Paramodulations                      : 25
% 6.57/2.28  # Factorizations                       : 0
% 6.57/2.28  # Equation resolutions                 : 0
% 6.57/2.28  # Propositional unsat checks           : 0
% 6.57/2.28  # Propositional unsat check successes  : 0
% 6.57/2.28  # Current number of processed clauses  : 48
% 6.57/2.28  #    Positive orientable unit clauses  : 4
% 6.57/2.28  #    Positive unorientable unit clauses: 0
% 6.57/2.28  #    Negative unit clauses             : 8
% 6.57/2.28  #    Non-unit-clauses                  : 36
% 6.57/2.28  # Current number of unprocessed clauses: 10
% 6.57/2.28  # ...number of literals in the above   : 22
% 6.57/2.28  # Current number of archived formulas  : 0
% 6.57/2.28  # Current number of archived clauses   : 1
% 6.57/2.28  # Clause-clause subsumption calls (NU) : 265
% 6.57/2.28  # Rec. Clause-clause subsumption calls : 143
% 6.57/2.28  # Non-unit clause-clause subsumptions  : 8
% 6.57/2.28  # Unit Clause-clause subsumption calls : 17
% 6.57/2.28  # Rewrite failures with RHS unbound    : 0
% 6.57/2.28  # BW rewrite match attempts            : 1
% 6.57/2.28  # BW rewrite match successes           : 1
% 6.57/2.28  # Condensation attempts                : 0
% 6.57/2.28  # Condensation successes               : 0
% 6.57/2.28  # Termbank termtop insertions          : 1268
% 6.57/2.28  
% 6.57/2.28  # -------------------------------------------------
% 6.57/2.28  # User time                : 0.008 s
% 6.57/2.28  # System time              : 0.003 s
% 6.57/2.28  # Total time               : 0.011 s
% 6.57/2.28  # ...preprocessing         : 0.010 s
% 6.57/2.28  # ...main loop             : 0.001 s
% 6.57/2.28  # Maximum resident set size: 7136 pages
% 6.57/2.28  
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