TSTP Solution File: GEO176+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 03:43:57 EDT 2022

% Result   : Theorem 7.63s 2.38s
% Output   : CNFRefutation 7.63s
% 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_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-u2vnk7k8/input.p',i_0_17) ).

cnf(i_0_27,negated_conjecture,
    ( apart_point_and_line(esk1_0,esk3_0)
    | apart_point_and_line(esk1_0,esk4_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u2vnk7k8/input.p',i_0_27) ).

cnf(i_0_26,negated_conjecture,
    ~ distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u2vnk7k8/input.p',i_0_26) ).

cnf(i_0_22,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u2vnk7k8/input.p',i_0_22) ).

cnf(i_0_28,negated_conjecture,
    convergent_lines(esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u2vnk7k8/input.p',i_0_28) ).

cnf(i_0_23,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-u2vnk7k8/input.p',i_0_23) ).

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(esk1_0,esk3_0)
    | apart_point_and_line(esk1_0,esk4_0) ),
    i_0_27 ).

cnf(c_0_37,negated_conjecture,
    ~ distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
    i_0_26 ).

cnf(c_0_38,negated_conjecture,
    ( apart_point_and_line(esk1_0,esk4_0)
    | apart_point_and_line(X1,esk3_0)
    | distinct_points(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    i_0_22 ).

cnf(c_0_40,negated_conjecture,
    ( apart_point_and_line(intersection_point(esk3_0,esk4_0),esk3_0)
    | apart_point_and_line(esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    convergent_lines(esk3_0,esk4_0),
    i_0_28 ).

cnf(c_0_42,plain,
    apart_point_and_line(esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_43,plain,
    ( apart_point_and_line(X1,esk4_0)
    | distinct_points(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_42]) ).

cnf(c_0_44,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    i_0_23 ).

cnf(c_0_45,negated_conjecture,
    apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0),
    inference(spm,[status(thm)],[c_0_37,c_0_43]) ).

cnf(c_0_46,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_41])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 22:45:14 EDT 2022
% 0.12/0.33  % 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
% 7.63/2.38  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.63/2.38  # Version: 2.1pre011
% 7.63/2.38  # Preprocessing time       : 0.012 s
% 7.63/2.38  
% 7.63/2.38  # Proof found!
% 7.63/2.38  # SZS status Theorem
% 7.63/2.38  # SZS output start CNFRefutation
% See solution above
% 7.63/2.38  # Proof object total steps             : 18
% 7.63/2.38  # Proof object clause steps            : 12
% 7.63/2.38  # Proof object formula steps           : 6
% 7.63/2.38  # Proof object conjectures             : 9
% 7.63/2.38  # Proof object clause conjectures      : 6
% 7.63/2.38  # Proof object formula conjectures     : 3
% 7.63/2.38  # Proof object initial clauses used    : 6
% 7.63/2.38  # Proof object initial formulas used   : 6
% 7.63/2.38  # Proof object generating inferences   : 6
% 7.63/2.38  # Proof object simplifying inferences  : 4
% 7.63/2.38  # Training examples: 0 positive, 0 negative
% 7.63/2.38  # Parsed axioms                        : 50
% 7.63/2.38  # Removed by relevancy pruning/SinE    : 0
% 7.63/2.38  # Initial clauses                      : 50
% 7.63/2.38  # Removed in clause preprocessing      : 0
% 7.63/2.38  # Initial clauses in saturation        : 50
% 7.63/2.38  # Processed clauses                    : 75
% 7.63/2.38  # ...of these trivial                  : 0
% 7.63/2.38  # ...subsumed                          : 8
% 7.63/2.38  # ...remaining for further processing  : 67
% 7.63/2.38  # Other redundant clauses eliminated   : 0
% 7.63/2.38  # Clauses deleted for lack of memory   : 0
% 7.63/2.38  # Backward-subsumed                    : 0
% 7.63/2.38  # Backward-rewritten                   : 4
% 7.63/2.38  # Generated clauses                    : 131
% 7.63/2.38  # ...of the previous two non-trivial   : 105
% 7.63/2.38  # Contextual simplify-reflections      : 4
% 7.63/2.38  # Paramodulations                      : 121
% 7.63/2.39  # Factorizations                       : 10
% 7.63/2.39  # Equation resolutions                 : 0
% 7.63/2.39  # Propositional unsat checks           : 0
% 7.63/2.39  # Propositional unsat check successes  : 0
% 7.63/2.39  # Current number of processed clauses  : 63
% 7.63/2.39  #    Positive orientable unit clauses  : 7
% 7.63/2.39  #    Positive unorientable unit clauses: 0
% 7.63/2.39  #    Negative unit clauses             : 8
% 7.63/2.39  #    Non-unit-clauses                  : 48
% 7.63/2.39  # Current number of unprocessed clauses: 68
% 7.63/2.39  # ...number of literals in the above   : 253
% 7.63/2.39  # Current number of archived formulas  : 0
% 7.63/2.39  # Current number of archived clauses   : 4
% 7.63/2.39  # Clause-clause subsumption calls (NU) : 375
% 7.63/2.39  # Rec. Clause-clause subsumption calls : 228
% 7.63/2.39  # Non-unit clause-clause subsumptions  : 12
% 7.63/2.39  # Unit Clause-clause subsumption calls : 19
% 7.63/2.39  # Rewrite failures with RHS unbound    : 0
% 7.63/2.39  # BW rewrite match attempts            : 1
% 7.63/2.39  # BW rewrite match successes           : 1
% 7.63/2.39  # Condensation attempts                : 0
% 7.63/2.39  # Condensation successes               : 0
% 7.63/2.39  # Termbank termtop insertions          : 2280
% 7.63/2.39  
% 7.63/2.39  # -------------------------------------------------
% 7.63/2.39  # User time                : 0.011 s
% 7.63/2.39  # System time              : 0.003 s
% 7.63/2.39  # Total time               : 0.014 s
% 7.63/2.39  # ...preprocessing         : 0.012 s
% 7.63/2.39  # ...main loop             : 0.003 s
% 7.63/2.39  # Maximum resident set size: 7136 pages
% 7.63/2.39  
%------------------------------------------------------------------------------