↑ Up

Enigma---0.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO186+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 03:44:06 EDT 2022

% Result   : Theorem 7.29s 2.23s
% Output   : CNFRefutation 7.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (  15 unt;   9 nHn;  23 RR)
%            Number of literals    :   61 (   0 equ;  25 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
    ( convergent_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ convergent_lines(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_19) ).

cnf(i_0_29,negated_conjecture,
    convergent_lines(esk3_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_29) ).

cnf(i_0_38,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/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_38) ).

cnf(i_0_26,negated_conjecture,
    ~ equal_points(esk1_0,intersection_point(esk3_0,esk4_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_26) ).

cnf(i_0_12,plain,
    ( distinct_points(X1,X2)
    | equal_points(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_12) ).

cnf(i_0_4,plain,
    ( ~ incident_point_and_line(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_4) ).

cnf(i_0_27,negated_conjecture,
    incident_point_and_line(esk1_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_27) ).

cnf(i_0_28,negated_conjecture,
    incident_point_and_line(esk1_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_28) ).

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-bgfz4ynq/input.p',i_0_22) ).

cnf(i_0_9,plain,
    ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bgfz4ynq/input.p',i_0_9) ).

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-bgfz4ynq/input.p',i_0_23) ).

cnf(c_0_50,plain,
    ( convergent_lines(X1,X2)
    | distinct_lines(X3,X2)
    | ~ convergent_lines(X1,X3) ),
    i_0_19 ).

cnf(c_0_51,negated_conjecture,
    convergent_lines(esk3_0,esk4_0),
    i_0_29 ).

cnf(c_0_52,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_38 ).

cnf(c_0_53,negated_conjecture,
    ( distinct_lines(esk4_0,X1)
    | convergent_lines(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,negated_conjecture,
    ~ equal_points(esk1_0,intersection_point(esk3_0,esk4_0)),
    i_0_26 ).

cnf(c_0_55,plain,
    ( distinct_points(X1,X2)
    | equal_points(X1,X2) ),
    i_0_12 ).

cnf(c_0_56,plain,
    ( ~ incident_point_and_line(X1,X2)
    | ~ apart_point_and_line(X1,X2) ),
    i_0_4 ).

cnf(c_0_57,negated_conjecture,
    incident_point_and_line(esk1_0,esk4_0),
    i_0_27 ).

cnf(c_0_58,plain,
    ( apart_point_and_line(X1,esk4_0)
    | apart_point_and_line(X2,esk4_0)
    | apart_point_and_line(X1,X3)
    | apart_point_and_line(X2,X3)
    | convergent_lines(esk3_0,X3)
    | ~ distinct_points(X1,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    distinct_points(esk1_0,intersection_point(esk3_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    incident_point_and_line(esk1_0,esk3_0),
    i_0_28 ).

cnf(c_0_62,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X1) ),
    i_0_22 ).

cnf(c_0_63,negated_conjecture,
    ( apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0)
    | apart_point_and_line(intersection_point(esk3_0,esk4_0),X1)
    | apart_point_and_line(esk1_0,X1)
    | convergent_lines(esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_64,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_56,c_0_61]) ).

cnf(c_0_65,plain,
    ~ convergent_lines(X1,X1),
    i_0_9 ).

cnf(c_0_66,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    i_0_23 ).

cnf(c_0_67,plain,
    apart_point_and_line(intersection_point(esk3_0,esk4_0),esk4_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_51])]),c_0_64]),c_0_65]) ).

cnf(c_0_68,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_51])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO186+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 : n010.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 15:27:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.29/2.23  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.29/2.23  # Version: 2.1pre011
% 7.29/2.23  # Preprocessing time       : 0.017 s
% 7.29/2.23  
% 7.29/2.23  # Proof found!
% 7.29/2.23  # SZS status Theorem
% 7.29/2.23  # SZS output start CNFRefutation
% See solution above
% 7.29/2.24  # Proof object total steps             : 30
% 7.29/2.24  # Proof object clause steps            : 19
% 7.29/2.24  # Proof object formula steps           : 11
% 7.29/2.24  # Proof object conjectures             : 13
% 7.29/2.24  # Proof object clause conjectures      : 9
% 7.29/2.24  # Proof object formula conjectures     : 4
% 7.29/2.24  # Proof object initial clauses used    : 11
% 7.29/2.24  # Proof object initial formulas used   : 11
% 7.29/2.24  # Proof object generating inferences   : 8
% 7.29/2.24  # Proof object simplifying inferences  : 7
% 7.29/2.24  # Training examples: 0 positive, 0 negative
% 7.29/2.24  # Parsed axioms                        : 51
% 7.29/2.24  # Removed by relevancy pruning/SinE    : 0
% 7.29/2.24  # Initial clauses                      : 51
% 7.29/2.24  # Removed in clause preprocessing      : 0
% 7.29/2.24  # Initial clauses in saturation        : 51
% 7.29/2.24  # Processed clauses                    : 330
% 7.29/2.24  # ...of these trivial                  : 0
% 7.29/2.24  # ...subsumed                          : 170
% 7.29/2.24  # ...remaining for further processing  : 160
% 7.29/2.24  # Other redundant clauses eliminated   : 0
% 7.29/2.24  # Clauses deleted for lack of memory   : 0
% 7.29/2.24  # Backward-subsumed                    : 5
% 7.29/2.24  # Backward-rewritten                   : 0
% 7.29/2.24  # Generated clauses                    : 1585
% 7.29/2.24  # ...of the previous two non-trivial   : 1339
% 7.29/2.24  # Contextual simplify-reflections      : 64
% 7.29/2.24  # Paramodulations                      : 1297
% 7.29/2.24  # Factorizations                       : 288
% 7.29/2.24  # Equation resolutions                 : 0
% 7.29/2.24  # Propositional unsat checks           : 0
% 7.29/2.24  # Propositional unsat check successes  : 0
% 7.29/2.24  # Current number of processed clauses  : 155
% 7.29/2.24  #    Positive orientable unit clauses  : 16
% 7.29/2.24  #    Positive unorientable unit clauses: 0
% 7.29/2.24  #    Negative unit clauses             : 10
% 7.29/2.24  #    Non-unit-clauses                  : 129
% 7.29/2.24  # Current number of unprocessed clauses: 1007
% 7.29/2.24  # ...number of literals in the above   : 4880
% 7.29/2.24  # Current number of archived formulas  : 0
% 7.29/2.24  # Current number of archived clauses   : 5
% 7.29/2.24  # Clause-clause subsumption calls (NU) : 5495
% 7.29/2.24  # Rec. Clause-clause subsumption calls : 2797
% 7.29/2.24  # Non-unit clause-clause subsumptions  : 196
% 7.29/2.24  # Unit Clause-clause subsumption calls : 183
% 7.29/2.24  # Rewrite failures with RHS unbound    : 0
% 7.29/2.24  # BW rewrite match attempts            : 1
% 7.29/2.24  # BW rewrite match successes           : 1
% 7.29/2.24  # Condensation attempts                : 0
% 7.29/2.24  # Condensation successes               : 0
% 7.29/2.24  # Termbank termtop insertions          : 17993
% 7.29/2.24  
% 7.29/2.24  # -------------------------------------------------
% 7.29/2.24  # User time                : 0.038 s
% 7.29/2.24  # System time              : 0.006 s
% 7.29/2.24  # Total time               : 0.044 s
% 7.29/2.24  # ...preprocessing         : 0.017 s
% 7.29/2.24  # ...main loop             : 0.027 s
% 7.29/2.24  # Maximum resident set size: 7136 pages
% 7.29/2.24  
%------------------------------------------------------------------------------