TSTP Solution File: GEO219+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO219+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 03:44:34 EDT 2022

% Result   : Theorem 7.82s 2.31s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (  14 unt;  14 nHn;  18 RR)
%            Number of literals    :   61 (   0 equ;  25 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( ~ orthogonal_lines(X1,X2)
    | ~ unorthogonal_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_6) ).

cnf(i_0_28,negated_conjecture,
    orthogonal_lines(esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_28) ).

cnf(i_0_26,negated_conjecture,
    ~ orthogonal_lines(esk2_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_26) ).

cnf(i_0_5,plain,
    ( orthogonal_lines(X1,X2)
    | unorthogonal_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_5) ).

cnf(i_0_24,plain,
    ( convergent_lines(X1,X2)
    | unorthogonal_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_24) ).

cnf(i_0_32,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X1,X3)
    | ~ convergent_lines(X2,X3)
    | ~ unorthogonal_lines(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_32) ).

cnf(i_0_16,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_16) ).

cnf(i_0_2,plain,
    ( ~ parallel_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_2) ).

cnf(i_0_27,negated_conjecture,
    parallel_lines(esk1_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_27) ).

cnf(i_0_9,plain,
    ~ convergent_lines(X1,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_9) ).

cnf(i_0_30,plain,
    ( convergent_lines(X1,X2)
    | unorthogonal_lines(X1,X3)
    | ~ convergent_lines(X3,X2)
    | ~ unorthogonal_lines(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-624z828g/input.p',i_0_30) ).

cnf(c_0_44,plain,
    ( ~ orthogonal_lines(X1,X2)
    | ~ unorthogonal_lines(X1,X2) ),
    i_0_6 ).

cnf(c_0_45,negated_conjecture,
    orthogonal_lines(esk1_0,esk2_0),
    i_0_28 ).

cnf(c_0_46,negated_conjecture,
    ~ orthogonal_lines(esk2_0,esk3_0),
    i_0_26 ).

cnf(c_0_47,plain,
    ( orthogonal_lines(X1,X2)
    | unorthogonal_lines(X1,X2) ),
    i_0_5 ).

cnf(c_0_48,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,plain,
    ( convergent_lines(X1,X2)
    | unorthogonal_lines(X1,X2) ),
    i_0_24 ).

cnf(c_0_50,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X1,X3)
    | ~ convergent_lines(X2,X3)
    | ~ unorthogonal_lines(X2,X3) ),
    i_0_32 ).

cnf(c_0_51,negated_conjecture,
    unorthogonal_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_52,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    i_0_16 ).

cnf(c_0_53,plain,
    convergent_lines(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( ~ parallel_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    i_0_2 ).

cnf(c_0_55,negated_conjecture,
    parallel_lines(esk1_0,esk3_0),
    i_0_27 ).

cnf(c_0_56,plain,
    ( convergent_lines(X1,esk3_0)
    | convergent_lines(X1,esk2_0)
    | ~ convergent_lines(esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_57,plain,
    ( convergent_lines(esk1_0,X1)
    | convergent_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ~ convergent_lines(esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,plain,
    ~ convergent_lines(X1,X1),
    i_0_9 ).

cnf(c_0_60,plain,
    ( convergent_lines(X1,esk2_0)
    | convergent_lines(X1,esk3_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).

cnf(c_0_61,plain,
    ( convergent_lines(X1,X2)
    | unorthogonal_lines(X1,X3)
    | ~ convergent_lines(X3,X2)
    | ~ unorthogonal_lines(X3,X2) ),
    i_0_30 ).

cnf(c_0_62,plain,
    convergent_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,plain,
    ( unorthogonal_lines(X1,esk2_0)
    | convergent_lines(X1,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_51]),c_0_62])]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_63]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO219+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % 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 : Sat Jun 18 10:28:20 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
% 7.82/2.31  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.82/2.31  # Version: 2.1pre011
% 7.82/2.31  # Preprocessing time       : 0.017 s
% 7.82/2.31  
% 7.82/2.31  # Proof found!
% 7.82/2.31  # SZS status Theorem
% 7.82/2.31  # SZS output start CNFRefutation
% See solution above
% 7.82/2.31  # Proof object total steps             : 32
% 7.82/2.31  # Proof object clause steps            : 21
% 7.82/2.31  # Proof object formula steps           : 11
% 7.82/2.31  # Proof object conjectures             : 10
% 7.82/2.31  # Proof object clause conjectures      : 7
% 7.82/2.31  # Proof object formula conjectures     : 3
% 7.82/2.31  # Proof object initial clauses used    : 11
% 7.82/2.31  # Proof object initial formulas used   : 11
% 7.82/2.31  # Proof object generating inferences   : 10
% 7.82/2.31  # Proof object simplifying inferences  : 4
% 7.82/2.31  # Training examples: 0 positive, 0 negative
% 7.82/2.31  # Parsed axioms                        : 49
% 7.82/2.31  # Removed by relevancy pruning/SinE    : 0
% 7.82/2.31  # Initial clauses                      : 49
% 7.82/2.31  # Removed in clause preprocessing      : 0
% 7.82/2.31  # Initial clauses in saturation        : 49
% 7.82/2.31  # Processed clauses                    : 71
% 7.82/2.31  # ...of these trivial                  : 0
% 7.82/2.31  # ...subsumed                          : 7
% 7.82/2.31  # ...remaining for further processing  : 64
% 7.82/2.31  # Other redundant clauses eliminated   : 0
% 7.82/2.31  # Clauses deleted for lack of memory   : 0
% 7.82/2.31  # Backward-subsumed                    : 1
% 7.82/2.31  # Backward-rewritten                   : 4
% 7.82/2.31  # Generated clauses                    : 102
% 7.82/2.31  # ...of the previous two non-trivial   : 86
% 7.82/2.31  # Contextual simplify-reflections      : 4
% 7.82/2.31  # Paramodulations                      : 102
% 7.82/2.31  # Factorizations                       : 0
% 7.82/2.31  # Equation resolutions                 : 0
% 7.82/2.31  # Propositional unsat checks           : 0
% 7.82/2.31  # Propositional unsat check successes  : 0
% 7.82/2.31  # Current number of processed clauses  : 59
% 7.82/2.31  #    Positive orientable unit clauses  : 8
% 7.82/2.31  #    Positive unorientable unit clauses: 0
% 7.82/2.31  #    Negative unit clauses             : 10
% 7.82/2.31  #    Non-unit-clauses                  : 41
% 7.82/2.31  # Current number of unprocessed clauses: 42
% 7.82/2.31  # ...number of literals in the above   : 131
% 7.82/2.31  # Current number of archived formulas  : 0
% 7.82/2.31  # Current number of archived clauses   : 5
% 7.82/2.31  # Clause-clause subsumption calls (NU) : 332
% 7.82/2.31  # Rec. Clause-clause subsumption calls : 203
% 7.82/2.31  # Non-unit clause-clause subsumptions  : 10
% 7.82/2.31  # Unit Clause-clause subsumption calls : 55
% 7.82/2.31  # Rewrite failures with RHS unbound    : 0
% 7.82/2.31  # BW rewrite match attempts            : 1
% 7.82/2.31  # BW rewrite match successes           : 1
% 7.82/2.31  # Condensation attempts                : 0
% 7.82/2.31  # Condensation successes               : 0
% 7.82/2.31  # Termbank termtop insertions          : 2117
% 7.82/2.31  
% 7.82/2.31  # -------------------------------------------------
% 7.82/2.31  # User time                : 0.015 s
% 7.82/2.31  # System time              : 0.005 s
% 7.82/2.31  # Total time               : 0.020 s
% 7.82/2.31  # ...preprocessing         : 0.017 s
% 7.82/2.31  # ...main loop             : 0.004 s
% 7.82/2.31  # Maximum resident set size: 7128 pages
% 7.82/2.31  
%------------------------------------------------------------------------------