TSTP Solution File: GEO228+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 03:44:41 EDT 2022

% Result   : Theorem 4.21s 2.08s
% Output   : CNFRefutation 4.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (   5 unt;   6 nHn;  16 RR)
%            Number of literals    :   31 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   18 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_44,plain,
    ( left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pubn8fdm/input.p',i_0_44) ).

cnf(i_0_32,plain,
    ~ left_convergent_lines(X1,X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pubn8fdm/input.p',i_0_32) ).

cnf(i_0_21,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pubn8fdm/input.p',i_0_21) ).

cnf(i_0_18,negated_conjecture,
    ( convergent_lines(esk1_0,esk2_0)
    | unequally_directed_lines(esk1_0,reverse_line(esk2_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pubn8fdm/input.p',i_0_18) ).

cnf(i_0_22,plain,
    ( unequally_directed_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pubn8fdm/input.p',i_0_22) ).

cnf(i_0_19,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | convergent_lines(esk1_0,esk2_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pubn8fdm/input.p',i_0_19) ).

cnf(c_0_51,plain,
    ( left_convergent_lines(X1,X2)
    | left_convergent_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2)
    | ~ unequally_directed_lines(X1,reverse_line(X2)) ),
    i_0_44 ).

cnf(c_0_52,plain,
    ~ left_convergent_lines(X1,X2),
    i_0_32 ).

cnf(c_0_53,plain,
    ( unequally_directed_lines(X1,reverse_line(X2))
    | ~ convergent_lines(X1,X2) ),
    i_0_21 ).

cnf(c_0_54,negated_conjecture,
    ( convergent_lines(esk1_0,esk2_0)
    | unequally_directed_lines(esk1_0,reverse_line(esk2_0)) ),
    i_0_18 ).

cnf(c_0_55,plain,
    ( unequally_directed_lines(X1,X2)
    | ~ convergent_lines(X1,X2) ),
    i_0_22 ).

cnf(c_0_56,negated_conjecture,
    ( unequally_directed_lines(esk1_0,esk2_0)
    | convergent_lines(esk1_0,esk2_0) ),
    i_0_19 ).

cnf(c_0_57,plain,
    ( ~ unequally_directed_lines(X1,reverse_line(X2))
    | ~ unequally_directed_lines(X1,X2) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_51,c_0_52]),c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    unequally_directed_lines(esk1_0,reverse_line(esk2_0)),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    unequally_directed_lines(esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_60,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.02/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Sat Jun 18 08:34:18 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.12/0.36  # ENIGMATIC: Selected SinE mode:
% 0.12/0.36  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.12/0.36  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.12/0.36  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 4.21/2.08  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 4.21/2.08  # Version: 2.1pre011
% 4.21/2.08  # Preprocessing time       : 0.010 s
% 4.21/2.08  
% 4.21/2.08  # Proof found!
% 4.21/2.08  # SZS status Theorem
% 4.21/2.08  # SZS output start CNFRefutation
% See solution above
% 4.21/2.08  # Proof object total steps             : 16
% 4.21/2.08  # Proof object clause steps            : 10
% 4.21/2.08  # Proof object formula steps           : 6
% 4.21/2.08  # Proof object conjectures             : 6
% 4.21/2.08  # Proof object clause conjectures      : 4
% 4.21/2.08  # Proof object formula conjectures     : 2
% 4.21/2.08  # Proof object initial clauses used    : 6
% 4.21/2.08  # Proof object initial formulas used   : 6
% 4.21/2.08  # Proof object generating inferences   : 3
% 4.21/2.08  # Proof object simplifying inferences  : 4
% 4.21/2.08  # Training examples: 0 positive, 0 negative
% 4.21/2.08  # Parsed axioms                        : 61
% 4.21/2.08  # Removed by relevancy pruning/SinE    : 0
% 4.21/2.08  # Initial clauses                      : 61
% 4.21/2.08  # Removed in clause preprocessing      : 0
% 4.21/2.08  # Initial clauses in saturation        : 61
% 4.21/2.08  # Processed clauses                    : 63
% 4.21/2.08  # ...of these trivial                  : 0
% 4.21/2.08  # ...subsumed                          : 26
% 4.21/2.08  # ...remaining for further processing  : 37
% 4.21/2.08  # Other redundant clauses eliminated   : 0
% 4.21/2.08  # Clauses deleted for lack of memory   : 0
% 4.21/2.08  # Backward-subsumed                    : 2
% 4.21/2.08  # Backward-rewritten                   : 2
% 4.21/2.08  # Generated clauses                    : 27
% 4.21/2.08  # ...of the previous two non-trivial   : 13
% 4.21/2.08  # Contextual simplify-reflections      : 9
% 4.21/2.08  # Paramodulations                      : 27
% 4.21/2.08  # Factorizations                       : 0
% 4.21/2.08  # Equation resolutions                 : 0
% 4.21/2.08  # Propositional unsat checks           : 0
% 4.21/2.08  # Propositional unsat check successes  : 0
% 4.21/2.08  # Current number of processed clauses  : 33
% 4.21/2.08  #    Positive orientable unit clauses  : 2
% 4.21/2.08  #    Positive unorientable unit clauses: 0
% 4.21/2.08  #    Negative unit clauses             : 11
% 4.21/2.08  #    Non-unit-clauses                  : 20
% 4.21/2.08  # Current number of unprocessed clauses: 7
% 4.21/2.08  # ...number of literals in the above   : 25
% 4.21/2.08  # Current number of archived formulas  : 0
% 4.21/2.08  # Current number of archived clauses   : 4
% 4.21/2.08  # Clause-clause subsumption calls (NU) : 130
% 4.21/2.08  # Rec. Clause-clause subsumption calls : 94
% 4.21/2.08  # Non-unit clause-clause subsumptions  : 16
% 4.21/2.08  # Unit Clause-clause subsumption calls : 81
% 4.21/2.08  # Rewrite failures with RHS unbound    : 0
% 4.21/2.08  # BW rewrite match attempts            : 2
% 4.21/2.08  # BW rewrite match successes           : 2
% 4.21/2.08  # Condensation attempts                : 0
% 4.21/2.08  # Condensation successes               : 0
% 4.21/2.08  # Termbank termtop insertions          : 1490
% 4.21/2.08  
% 4.21/2.08  # -------------------------------------------------
% 4.21/2.08  # User time                : 0.010 s
% 4.21/2.08  # System time              : 0.001 s
% 4.21/2.08  # Total time               : 0.011 s
% 4.21/2.08  # ...preprocessing         : 0.010 s
% 4.21/2.08  # ...main loop             : 0.001 s
% 4.21/2.08  # Maximum resident set size: 7132 pages
% 4.21/2.08  
%------------------------------------------------------------------------------