TSTP Solution File: GEO595+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO595+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 03:46:28 EDT 2022

% Result   : Theorem 8.61s 2.48s
% Output   : CNFRefutation 8.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   55 (  20 unt;   0 nHn;  53 RR)
%            Number of literals    :  100 (   0 equ;  48 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-8 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :  111 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_20,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_20) ).

cnf(i_0_5,negated_conjecture,
    coll(esk6_0,esk1_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_5) ).

cnf(i_0_31,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_31) ).

cnf(i_0_46,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_46) ).

cnf(i_0_43,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_43) ).

cnf(i_0_85,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_85) ).

cnf(i_0_9,negated_conjecture,
    perp(esk4_0,esk1_0,esk2_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_9) ).

cnf(i_0_84,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_84) ).

cnf(i_0_42,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_42) ).

cnf(i_0_3,negated_conjecture,
    coll(esk7_0,esk1_0,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_3) ).

cnf(i_0_15,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_15) ).

cnf(i_0_16,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_16) ).

cnf(i_0_14,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_14) ).

cnf(i_0_17,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_17) ).

cnf(i_0_1,negated_conjecture,
    ~ cyclic(esk2_0,esk3_0,esk6_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y0zgobvu/input.p',i_0_1) ).

cnf(c_0_101,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    i_0_20 ).

cnf(c_0_102,negated_conjecture,
    coll(esk6_0,esk1_0,esk2_0),
    i_0_5 ).

cnf(c_0_103,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    i_0_31 ).

cnf(c_0_104,negated_conjecture,
    coll(esk6_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_105,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    i_0_46 ).

cnf(c_0_106,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    i_0_43 ).

cnf(c_0_107,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    i_0_85 ).

cnf(c_0_108,negated_conjecture,
    perp(esk4_0,esk1_0,esk2_0,esk3_0),
    i_0_9 ).

cnf(c_0_109,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    i_0_84 ).

cnf(c_0_110,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    i_0_42 ).

cnf(c_0_111,plain,
    coll(esk2_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk7_0,esk1_0,esk3_0),
    i_0_3 ).

cnf(c_0_113,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_114,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    perp(esk2_0,esk3_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_109,c_0_108]) ).

cnf(c_0_116,plain,
    ( coll(X1,esk1_0,esk2_0)
    | ~ coll(esk2_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_117,negated_conjecture,
    coll(esk7_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_101,c_0_112]) ).

cnf(c_0_118,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    i_0_15 ).

cnf(c_0_119,plain,
    ( cyclic(esk3_0,X1,esk2_0,esk2_0)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])]) ).

cnf(c_0_120,plain,
    coll(esk1_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_116,c_0_111]) ).

cnf(c_0_121,plain,
    ( coll(X1,esk1_0,esk7_0)
    | ~ coll(esk7_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_117]) ).

cnf(c_0_122,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    i_0_16 ).

cnf(c_0_123,plain,
    ( cyclic(esk3_0,esk2_0,X1,esk2_0)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_124,plain,
    ( coll(X1,esk2_0,esk1_0)
    | ~ coll(esk1_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_120]) ).

cnf(c_0_125,negated_conjecture,
    coll(esk1_0,esk1_0,esk7_0),
    inference(spm,[status(thm)],[c_0_121,c_0_117]) ).

cnf(c_0_126,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    i_0_14 ).

cnf(c_0_127,plain,
    ( cyclic(esk2_0,esk3_0,X1,esk2_0)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_128,negated_conjecture,
    coll(esk7_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,plain,
    ( cyclic(esk2_0,esk3_0,esk2_0,X1)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_130,plain,
    coll(esk7_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_101,c_0_128]) ).

cnf(c_0_131,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    i_0_17 ).

cnf(c_0_132,plain,
    ( cyclic(esk2_0,esk2_0,esk3_0,X1)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_118,c_0_129]) ).

cnf(c_0_133,plain,
    ( coll(X1,esk2_0,esk7_0)
    | ~ coll(esk7_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_130]) ).

cnf(c_0_134,negated_conjecture,
    ~ cyclic(esk2_0,esk3_0,esk6_0,esk7_0),
    i_0_1 ).

cnf(c_0_135,plain,
    ( cyclic(esk2_0,esk3_0,X1,X2)
    | ~ cyclic(esk2_0,esk2_0,esk3_0,X1)
    | ~ coll(esk2_0,esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_136,plain,
    coll(esk2_0,esk2_0,esk7_0),
    inference(spm,[status(thm)],[c_0_133,c_0_130]) ).

cnf(c_0_137,negated_conjecture,
    ( coll(X1,esk2_0,esk6_0)
    | ~ coll(esk6_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_102]) ).

cnf(c_0_138,negated_conjecture,
    ~ cyclic(esk2_0,esk2_0,esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).

cnf(c_0_139,negated_conjecture,
    coll(esk2_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_137,c_0_102]) ).

cnf(c_0_140,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_132]),c_0_139])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO595+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 21:51:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.61/2.48  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 8.61/2.48  # Version: 2.1pre011
% 8.61/2.48  # Preprocessing time       : 0.023 s
% 8.61/2.48  
% 8.61/2.48  # Proof found!
% 8.61/2.48  # SZS status Theorem
% 8.61/2.48  # SZS output start CNFRefutation
% See solution above
% 8.61/2.48  # Proof object total steps             : 55
% 8.61/2.48  # Proof object clause steps            : 40
% 8.61/2.48  # Proof object formula steps           : 15
% 8.61/2.48  # Proof object conjectures             : 17
% 8.61/2.48  # Proof object clause conjectures      : 13
% 8.61/2.48  # Proof object formula conjectures     : 4
% 8.61/2.48  # Proof object initial clauses used    : 15
% 8.61/2.48  # Proof object initial formulas used   : 15
% 8.61/2.48  # Proof object generating inferences   : 25
% 8.61/2.48  # Proof object simplifying inferences  : 6
% 8.61/2.48  # Training examples: 0 positive, 0 negative
% 8.61/2.48  # Parsed axioms                        : 122
% 8.61/2.48  # Removed by relevancy pruning/SinE    : 0
% 8.61/2.48  # Initial clauses                      : 122
% 8.61/2.48  # Removed in clause preprocessing      : 0
% 8.61/2.48  # Initial clauses in saturation        : 122
% 8.61/2.48  # Processed clauses                    : 856
% 8.61/2.48  # ...of these trivial                  : 54
% 8.61/2.48  # ...subsumed                          : 81
% 8.61/2.48  # ...remaining for further processing  : 721
% 8.61/2.48  # Other redundant clauses eliminated   : 0
% 8.61/2.48  # Clauses deleted for lack of memory   : 0
% 8.61/2.48  # Backward-subsumed                    : 7
% 8.61/2.48  # Backward-rewritten                   : 6
% 8.61/2.48  # Generated clauses                    : 4160
% 8.61/2.48  # ...of the previous two non-trivial   : 3498
% 8.61/2.48  # Contextual simplify-reflections      : 27
% 8.61/2.48  # Paramodulations                      : 4160
% 8.61/2.48  # Factorizations                       : 0
% 8.61/2.48  # Equation resolutions                 : 0
% 8.61/2.48  # Propositional unsat checks           : 0
% 8.61/2.48  # Propositional unsat check successes  : 0
% 8.61/2.48  # Current number of processed clauses  : 708
% 8.61/2.48  #    Positive orientable unit clauses  : 188
% 8.61/2.48  #    Positive unorientable unit clauses: 0
% 8.61/2.48  #    Negative unit clauses             : 2
% 8.61/2.48  #    Non-unit-clauses                  : 518
% 8.61/2.48  # Current number of unprocessed clauses: 2742
% 8.61/2.48  # ...number of literals in the above   : 9822
% 8.61/2.48  # Current number of archived formulas  : 0
% 8.61/2.48  # Current number of archived clauses   : 13
% 8.61/2.48  # Clause-clause subsumption calls (NU) : 27918
% 8.61/2.48  # Rec. Clause-clause subsumption calls : 15670
% 8.61/2.48  # Non-unit clause-clause subsumptions  : 115
% 8.61/2.48  # Unit Clause-clause subsumption calls : 4729
% 8.61/2.48  # Rewrite failures with RHS unbound    : 0
% 8.61/2.48  # BW rewrite match attempts            : 439
% 8.61/2.48  # BW rewrite match successes           : 4
% 8.61/2.48  # Condensation attempts                : 0
% 8.61/2.48  # Condensation successes               : 0
% 8.61/2.48  # Termbank termtop insertions          : 51492
% 8.61/2.48  
% 8.61/2.48  # -------------------------------------------------
% 8.61/2.48  # User time                : 0.109 s
% 8.61/2.48  # System time              : 0.010 s
% 8.61/2.48  # Total time               : 0.119 s
% 8.61/2.48  # ...preprocessing         : 0.023 s
% 8.61/2.48  # ...main loop             : 0.096 s
% 8.61/2.48  # Maximum resident set size: 8148 pages
% 8.61/2.48  
%------------------------------------------------------------------------------