TSTP Solution File: GEO174+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 6.92s 2.25s
% Output   : CNFRefutation 6.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (   7 unt;   7 nHn;  14 RR)
%            Number of literals    :   32 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   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   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_18,plain,
    ( apart_point_and_line(X1,X2)
    | distinct_lines(X3,X2)
    | ~ apart_point_and_line(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dj76hfuw/input.p',i_0_18) ).

cnf(i_0_27,negated_conjecture,
    ( apart_point_and_line(esk1_0,esk3_0)
    | apart_point_and_line(esk2_0,esk3_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dj76hfuw/input.p',i_0_27) ).

cnf(i_0_26,negated_conjecture,
    ~ distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dj76hfuw/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/sandbox/tmp/enigma-theBenchmark.p-dj76hfuw/input.p',i_0_21) ).

cnf(i_0_29,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dj76hfuw/input.p',i_0_29) ).

cnf(i_0_20,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dj76hfuw/input.p',i_0_20) ).

cnf(c_0_36,plain,
    ( apart_point_and_line(X1,X2)
    | distinct_lines(X3,X2)
    | ~ apart_point_and_line(X1,X3) ),
    i_0_18 ).

cnf(c_0_37,negated_conjecture,
    ( apart_point_and_line(esk1_0,esk3_0)
    | apart_point_and_line(esk2_0,esk3_0) ),
    i_0_27 ).

cnf(c_0_38,negated_conjecture,
    ~ distinct_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
    i_0_26 ).

cnf(c_0_39,negated_conjecture,
    ( apart_point_and_line(esk1_0,esk3_0)
    | apart_point_and_line(esk2_0,X1)
    | distinct_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X2,line_connecting(X1,X2)) ),
    i_0_21 ).

cnf(c_0_41,negated_conjecture,
    ( apart_point_and_line(esk2_0,line_connecting(esk1_0,esk2_0))
    | apart_point_and_line(esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    distinct_points(esk1_0,esk2_0),
    i_0_29 ).

cnf(c_0_43,plain,
    apart_point_and_line(esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_44,plain,
    ( apart_point_and_line(esk1_0,X1)
    | distinct_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_43]) ).

cnf(c_0_45,plain,
    ( ~ distinct_points(X1,X2)
    | ~ apart_point_and_line(X1,line_connecting(X1,X2)) ),
    i_0_20 ).

cnf(c_0_46,negated_conjecture,
    apart_point_and_line(esk1_0,line_connecting(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_38,c_0_44]) ).

cnf(c_0_47,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sat Jun 18 11:22:45 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.17/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.17/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.17/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.92/2.25  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 6.92/2.25  # Version: 2.1pre011
% 6.92/2.25  # Preprocessing time       : 0.018 s
% 6.92/2.25  
% 6.92/2.25  # Proof found!
% 6.92/2.25  # SZS status Theorem
% 6.92/2.25  # SZS output start CNFRefutation
% See solution above
% 6.92/2.25  # Proof object total steps             : 18
% 6.92/2.25  # Proof object clause steps            : 12
% 6.92/2.25  # Proof object formula steps           : 6
% 6.92/2.25  # Proof object conjectures             : 9
% 6.92/2.25  # Proof object clause conjectures      : 6
% 6.92/2.25  # Proof object formula conjectures     : 3
% 6.92/2.25  # Proof object initial clauses used    : 6
% 6.92/2.25  # Proof object initial formulas used   : 6
% 6.92/2.25  # Proof object generating inferences   : 6
% 6.92/2.25  # Proof object simplifying inferences  : 4
% 6.92/2.25  # Training examples: 0 positive, 0 negative
% 6.92/2.25  # Parsed axioms                        : 50
% 6.92/2.25  # Removed by relevancy pruning/SinE    : 0
% 6.92/2.25  # Initial clauses                      : 50
% 6.92/2.25  # Removed in clause preprocessing      : 0
% 6.92/2.25  # Initial clauses in saturation        : 50
% 6.92/2.25  # Processed clauses                    : 75
% 6.92/2.25  # ...of these trivial                  : 0
% 6.92/2.25  # ...subsumed                          : 7
% 6.92/2.25  # ...remaining for further processing  : 68
% 6.92/2.25  # Other redundant clauses eliminated   : 0
% 6.92/2.25  # Clauses deleted for lack of memory   : 0
% 6.92/2.25  # Backward-subsumed                    : 0
% 6.92/2.25  # Backward-rewritten                   : 5
% 6.92/2.25  # Generated clauses                    : 136
% 6.92/2.25  # ...of the previous two non-trivial   : 113
% 6.92/2.25  # Contextual simplify-reflections      : 4
% 6.92/2.25  # Paramodulations                      : 130
% 6.92/2.25  # Factorizations                       : 6
% 6.92/2.25  # Equation resolutions                 : 0
% 6.92/2.25  # Propositional unsat checks           : 0
% 6.92/2.25  # Propositional unsat check successes  : 0
% 6.92/2.25  # Current number of processed clauses  : 63
% 6.92/2.25  #    Positive orientable unit clauses  : 6
% 6.92/2.25  #    Positive unorientable unit clauses: 0
% 6.92/2.25  #    Negative unit clauses             : 8
% 6.92/2.25  #    Non-unit-clauses                  : 49
% 6.92/2.25  # Current number of unprocessed clauses: 74
% 6.92/2.25  # ...number of literals in the above   : 262
% 6.92/2.25  # Current number of archived formulas  : 0
% 6.92/2.25  # Current number of archived clauses   : 5
% 6.92/2.25  # Clause-clause subsumption calls (NU) : 368
% 6.92/2.25  # Rec. Clause-clause subsumption calls : 228
% 6.92/2.25  # Non-unit clause-clause subsumptions  : 11
% 6.92/2.25  # Unit Clause-clause subsumption calls : 26
% 6.92/2.25  # Rewrite failures with RHS unbound    : 0
% 6.92/2.25  # BW rewrite match attempts            : 1
% 6.92/2.25  # BW rewrite match successes           : 1
% 6.92/2.25  # Condensation attempts                : 0
% 6.92/2.25  # Condensation successes               : 0
% 6.92/2.25  # Termbank termtop insertions          : 2348
% 6.92/2.25  
% 6.92/2.25  # -------------------------------------------------
% 6.92/2.25  # User time                : 0.017 s
% 6.92/2.25  # System time              : 0.005 s
% 6.92/2.25  # Total time               : 0.022 s
% 6.92/2.25  # ...preprocessing         : 0.018 s
% 6.92/2.25  # ...main loop             : 0.004 s
% 6.92/2.25  # Maximum resident set size: 7128 pages
% 6.92/2.25  
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