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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO528+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 03:46:07 EDT 2022

% Result   : Theorem 9.12s 2.56s
% Output   : CNFRefutation 9.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   29 (  16 unt;  11 nHn;  22 RR)
%            Number of literals    :   56 (  22 equ;  19 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   48 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_45,plain,
    ( X1 = X2
    | s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_45) ).

cnf(i_0_42,negated_conjecture,
    reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_42) ).

cnf(i_0_43,negated_conjecture,
    esk2_0 != esk1_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_43) ).

cnf(i_0_49,plain,
    ( X1 = X2
    | reflect(X1,X2,reflect(X1,X2,X3)) = X3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_49) ).

cnf(i_0_52,plain,
    ( X1 = X2
    | s_col(X1,X2,X3)
    | reflect(X1,X2,X3) != X3 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_52) ).

cnf(i_0_41,negated_conjecture,
    ~ s_col(esk1_0,esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_41) ).

cnf(i_0_282,plain,
    ( X1 = X2
    | s_col(X1,X2,X3)
    | s_col(X1,X2,X4)
    | opposite(X4,X1,X2,X3)
    | ~ s_t(X4,X5,X3)
    | ~ s_col(X1,X2,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_282) ).

cnf(i_0_258,plain,
    ( s_t(X1,X2,X3)
    | ~ s_m(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_258) ).

cnf(i_0_200,plain,
    s_m(X1,midpoint(X1,X2),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_200) ).

cnf(i_0_53,plain,
    ( X1 = X2
    | reflect(X1,X2,X3) = X3
    | ~ s_col(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_53) ).

cnf(i_0_40,negated_conjecture,
    ~ opposite(esk3_0,esk1_0,esk2_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ws9gy80o/input.p',i_0_40) ).

cnf(c_0_294,plain,
    ( X1 = X2
    | s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3))) ),
    i_0_45 ).

cnf(c_0_295,negated_conjecture,
    reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
    i_0_42 ).

cnf(c_0_296,negated_conjecture,
    esk2_0 != esk1_0,
    i_0_43 ).

cnf(c_0_297,plain,
    ( X1 = X2
    | reflect(X1,X2,reflect(X1,X2,X3)) = X3 ),
    i_0_49 ).

cnf(c_0_298,plain,
    ( X1 = X2
    | s_col(X1,X2,X3)
    | reflect(X1,X2,X3) != X3 ),
    i_0_52 ).

cnf(c_0_299,negated_conjecture,
    ~ s_col(esk1_0,esk2_0,esk3_0),
    i_0_41 ).

cnf(c_0_300,plain,
    ( X1 = X2
    | s_col(X1,X2,X3)
    | s_col(X1,X2,X4)
    | opposite(X4,X1,X2,X3)
    | ~ s_t(X4,X5,X3)
    | ~ s_col(X1,X2,X5) ),
    i_0_282 ).

cnf(c_0_301,negated_conjecture,
    s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]) ).

cnf(c_0_302,plain,
    ( s_t(X1,X2,X3)
    | ~ s_m(X1,X2,X3) ),
    i_0_258 ).

cnf(c_0_303,plain,
    s_m(X1,midpoint(X1,X2),X2),
    i_0_200 ).

cnf(c_0_304,plain,
    ( X1 = X2
    | reflect(X1,X2,X3) = X3
    | ~ s_col(X1,X2,X3) ),
    i_0_53 ).

cnf(c_0_305,negated_conjecture,
    reflect(esk1_0,esk2_0,esk4_0) = esk3_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_295]),c_0_296]) ).

cnf(c_0_306,negated_conjecture,
    esk4_0 != esk3_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_295]),c_0_296]),c_0_299]) ).

cnf(c_0_307,plain,
    ( opposite(X1,esk1_0,esk2_0,X2)
    | s_col(esk1_0,esk2_0,X1)
    | s_col(esk1_0,esk2_0,X2)
    | ~ s_t(X1,midpoint(esk3_0,esk4_0),X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_296]) ).

cnf(c_0_308,plain,
    s_t(X1,midpoint(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_302,c_0_303]) ).

cnf(c_0_309,negated_conjecture,
    ~ opposite(esk3_0,esk1_0,esk2_0,esk4_0),
    i_0_40 ).

cnf(c_0_310,plain,
    ~ s_col(esk1_0,esk2_0,esk4_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_306]),c_0_296]) ).

cnf(c_0_311,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_309]),c_0_299]),c_0_310]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO528+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 08:58:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.12/2.56  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 9.12/2.56  # Version: 2.1pre011
% 9.12/2.56  # Preprocessing time       : 0.018 s
% 9.12/2.56  
% 9.12/2.56  # Proof found!
% 9.12/2.56  # SZS status Theorem
% 9.12/2.56  # SZS output start CNFRefutation
% See solution above
% 9.12/2.56  # Proof object total steps             : 29
% 9.12/2.56  # Proof object clause steps            : 18
% 9.12/2.56  # Proof object formula steps           : 11
% 9.12/2.56  # Proof object conjectures             : 11
% 9.12/2.56  # Proof object clause conjectures      : 7
% 9.12/2.56  # Proof object formula conjectures     : 4
% 9.12/2.56  # Proof object initial clauses used    : 11
% 9.12/2.56  # Proof object initial formulas used   : 11
% 9.12/2.56  # Proof object generating inferences   : 7
% 9.12/2.56  # Proof object simplifying inferences  : 10
% 9.12/2.56  # Training examples: 0 positive, 0 negative
% 9.12/2.56  # Parsed axioms                        : 294
% 9.12/2.56  # Removed by relevancy pruning/SinE    : 0
% 9.12/2.56  # Initial clauses                      : 294
% 9.12/2.56  # Removed in clause preprocessing      : 0
% 9.12/2.56  # Initial clauses in saturation        : 294
% 9.12/2.56  # Processed clauses                    : 1469
% 9.12/2.56  # ...of these trivial                  : 71
% 9.12/2.56  # ...subsumed                          : 643
% 9.12/2.56  # ...remaining for further processing  : 755
% 9.12/2.56  # Other redundant clauses eliminated   : 189
% 9.12/2.56  # Clauses deleted for lack of memory   : 0
% 9.12/2.56  # Backward-subsumed                    : 5
% 9.12/2.56  # Backward-rewritten                   : 10
% 9.12/2.56  # Generated clauses                    : 9586
% 9.12/2.56  # ...of the previous two non-trivial   : 8477
% 9.12/2.56  # Contextual simplify-reflections      : 116
% 9.12/2.56  # Paramodulations                      : 9105
% 9.12/2.56  # Factorizations                       : 271
% 9.12/2.56  # Equation resolutions                 : 210
% 9.12/2.56  # Propositional unsat checks           : 0
% 9.12/2.56  # Propositional unsat check successes  : 0
% 9.12/2.56  # Current number of processed clauses  : 726
% 9.12/2.56  #    Positive orientable unit clauses  : 89
% 9.12/2.56  #    Positive unorientable unit clauses: 1
% 9.12/2.56  #    Negative unit clauses             : 50
% 9.12/2.56  #    Non-unit-clauses                  : 586
% 9.12/2.56  # Current number of unprocessed clauses: 7194
% 9.12/2.56  # ...number of literals in the above   : 27623
% 9.12/2.56  # Current number of archived formulas  : 0
% 9.12/2.56  # Current number of archived clauses   : 15
% 9.12/2.56  # Clause-clause subsumption calls (NU) : 119009
% 9.12/2.56  # Rec. Clause-clause subsumption calls : 63908
% 9.12/2.56  # Non-unit clause-clause subsumptions  : 493
% 9.12/2.56  # Unit Clause-clause subsumption calls : 6750
% 9.12/2.56  # Rewrite failures with RHS unbound    : 0
% 9.12/2.56  # BW rewrite match attempts            : 1007
% 9.12/2.56  # BW rewrite match successes           : 33
% 9.12/2.56  # Condensation attempts                : 0
% 9.12/2.56  # Condensation successes               : 0
% 9.12/2.56  # Termbank termtop insertions          : 111240
% 9.12/2.56  
% 9.12/2.56  # -------------------------------------------------
% 9.12/2.56  # User time                : 0.156 s
% 9.12/2.56  # System time              : 0.010 s
% 9.12/2.56  # Total time               : 0.167 s
% 9.12/2.56  # ...preprocessing         : 0.018 s
% 9.12/2.56  # ...main loop             : 0.149 s
% 9.12/2.56  # Maximum resident set size: 12884 pages
% 9.12/2.56  
%------------------------------------------------------------------------------