TSTP Solution File: GEO224+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 03:44:38 EDT 2022

% Result   : Theorem 6.65s 2.22s
% Output   : CNFRefutation 6.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (   9 unt;   4 nHn;  20 RR)
%            Number of literals    :   50 (   0 equ;  30 neg)
%            Maximal clause size   :    4 (   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;   2 con; 0-2 aty)
%            Number of variables   :   35 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,negated_conjecture,
    ( ~ point(X1)
    | ~ incident_point_and_line(X1,esk2_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gycdlvmn/input.p',i_0_26) ).

cnf(i_0_3,plain,
    ( incident_point_and_line(X1,X2)
    | apart_point_and_line(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gycdlvmn/input.p',i_0_3) ).

cnf(i_0_38,plain,
    ( point(intersection_point(X1,X2))
    | ~ line(X2)
    | ~ line(X1)
    | ~ convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gycdlvmn/input.p',i_0_38) ).

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

cnf(i_0_27,negated_conjecture,
    line(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gycdlvmn/input.p',i_0_27) ).

cnf(i_0_46,plain,
    ( line(orthogonal_through_point(X1,X2))
    | ~ point(X2)
    | ~ line(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gycdlvmn/input.p',i_0_46) ).

cnf(i_0_44,plain,
    ~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gycdlvmn/input.p',i_0_44) ).

cnf(i_0_24,plain,
    ( convergent_lines(X1,X2)
    | unorthogonal_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gycdlvmn/input.p',i_0_24) ).

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

cnf(c_0_56,negated_conjecture,
    ( ~ point(X1)
    | ~ incident_point_and_line(X1,esk2_0) ),
    i_0_26 ).

cnf(c_0_57,plain,
    ( incident_point_and_line(X1,X2)
    | apart_point_and_line(X1,X2) ),
    i_0_3 ).

cnf(c_0_58,negated_conjecture,
    ( apart_point_and_line(X1,esk2_0)
    | ~ point(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_59,plain,
    ( point(intersection_point(X1,X2))
    | ~ line(X2)
    | ~ line(X1)
    | ~ convergent_lines(X1,X2) ),
    i_0_38 ).

cnf(c_0_60,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ apart_point_and_line(intersection_point(X1,X2),X2) ),
    i_0_23 ).

cnf(c_0_61,plain,
    ( apart_point_and_line(intersection_point(X1,X2),esk2_0)
    | ~ convergent_lines(X1,X2)
    | ~ line(X2)
    | ~ line(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_62,negated_conjecture,
    line(esk2_0),
    i_0_27 ).

cnf(c_0_63,plain,
    ( ~ convergent_lines(X1,esk2_0)
    | ~ line(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_64,plain,
    ( line(orthogonal_through_point(X1,X2))
    | ~ point(X2)
    | ~ line(X1) ),
    i_0_46 ).

cnf(c_0_65,plain,
    ~ unorthogonal_lines(orthogonal_through_point(X1,X2),X1),
    i_0_44 ).

cnf(c_0_66,plain,
    ( convergent_lines(X1,X2)
    | unorthogonal_lines(X1,X2) ),
    i_0_24 ).

cnf(c_0_67,plain,
    ( ~ convergent_lines(orthogonal_through_point(X1,X2),esk2_0)
    | ~ line(X1)
    | ~ point(X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,plain,
    convergent_lines(orthogonal_through_point(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,negated_conjecture,
    point(esk1_0),
    i_0_28 ).

cnf(c_0_70,plain,
    ~ point(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_62])]) ).

cnf(c_0_71,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_69,c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO224+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 17 15:28:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # 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
% 6.65/2.22  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 6.65/2.22  # Version: 2.1pre011
% 6.65/2.22  # Preprocessing time       : 0.010 s
% 6.65/2.22  
% 6.65/2.22  # Proof found!
% 6.65/2.22  # SZS status Theorem
% 6.65/2.22  # SZS output start CNFRefutation
% See solution above
% 6.65/2.22  # Proof object total steps             : 25
% 6.65/2.22  # Proof object clause steps            : 16
% 6.65/2.22  # Proof object formula steps           : 9
% 6.65/2.22  # Proof object conjectures             : 8
% 6.65/2.22  # Proof object clause conjectures      : 5
% 6.65/2.22  # Proof object formula conjectures     : 3
% 6.65/2.22  # Proof object initial clauses used    : 9
% 6.65/2.22  # Proof object initial formulas used   : 9
% 6.65/2.22  # Proof object generating inferences   : 6
% 6.65/2.22  # Proof object simplifying inferences  : 5
% 6.65/2.22  # Training examples: 0 positive, 0 negative
% 6.65/2.22  # Parsed axioms                        : 49
% 6.65/2.22  # Removed by relevancy pruning/SinE    : 0
% 6.65/2.22  # Initial clauses                      : 49
% 6.65/2.22  # Removed in clause preprocessing      : 0
% 6.65/2.22  # Initial clauses in saturation        : 49
% 6.65/2.22  # Processed clauses                    : 74
% 6.65/2.22  # ...of these trivial                  : 0
% 6.65/2.22  # ...subsumed                          : 7
% 6.65/2.22  # ...remaining for further processing  : 67
% 6.65/2.22  # Other redundant clauses eliminated   : 0
% 6.65/2.22  # Clauses deleted for lack of memory   : 0
% 6.65/2.22  # Backward-subsumed                    : 0
% 6.65/2.22  # Backward-rewritten                   : 0
% 6.65/2.22  # Generated clauses                    : 99
% 6.65/2.22  # ...of the previous two non-trivial   : 81
% 6.65/2.22  # Contextual simplify-reflections      : 4
% 6.65/2.22  # Paramodulations                      : 96
% 6.65/2.22  # Factorizations                       : 2
% 6.65/2.22  # Equation resolutions                 : 0
% 6.65/2.22  # Propositional unsat checks           : 0
% 6.65/2.22  # Propositional unsat check successes  : 0
% 6.65/2.22  # Current number of processed clauses  : 66
% 6.65/2.22  #    Positive orientable unit clauses  : 6
% 6.65/2.22  #    Positive unorientable unit clauses: 0
% 6.65/2.22  #    Negative unit clauses             : 8
% 6.65/2.22  #    Non-unit-clauses                  : 52
% 6.65/2.22  # Current number of unprocessed clauses: 56
% 6.65/2.22  # ...number of literals in the above   : 184
% 6.65/2.22  # Current number of archived formulas  : 0
% 6.65/2.22  # Current number of archived clauses   : 1
% 6.65/2.22  # Clause-clause subsumption calls (NU) : 431
% 6.65/2.22  # Rec. Clause-clause subsumption calls : 251
% 6.65/2.22  # Non-unit clause-clause subsumptions  : 9
% 6.65/2.22  # Unit Clause-clause subsumption calls : 55
% 6.65/2.22  # Rewrite failures with RHS unbound    : 0
% 6.65/2.22  # BW rewrite match attempts            : 0
% 6.65/2.22  # BW rewrite match successes           : 0
% 6.65/2.22  # Condensation attempts                : 0
% 6.65/2.22  # Condensation successes               : 0
% 6.65/2.22  # Termbank termtop insertions          : 2066
% 6.65/2.22  
% 6.65/2.22  # -------------------------------------------------
% 6.65/2.22  # User time                : 0.010 s
% 6.65/2.22  # System time              : 0.002 s
% 6.65/2.22  # Total time               : 0.012 s
% 6.65/2.22  # ...preprocessing         : 0.010 s
% 6.65/2.22  # ...main loop             : 0.002 s
% 6.65/2.22  # Maximum resident set size: 7124 pages
% 6.65/2.22  
%------------------------------------------------------------------------------