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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUN054+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 : Mon Jul 18 16:24:51 EDT 2022

% Result   : Theorem 7.85s 2.42s
% Output   : CNFRefutation 7.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   37 (  23 unt;   0 nHn;  17 RR)
%            Number of literals    :   71 (  15 equ;  41 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :   74 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
    ( X1 = esk10_1(X2)
    | ~ r2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_17) ).

cnf(i_0_5,plain,
    r2(X1,esk3_2(X2,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_5) ).

cnf(i_0_40,negated_conjecture,
    ( X1 != X2
    | ~ r1(X3)
    | ~ r1(X4)
    | ~ r1(X5)
    | ~ r2(X3,X2)
    | ~ r2(X4,X6)
    | ~ r3(X5,X6,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_40) ).

cnf(i_0_4,plain,
    r3(X1,esk3_2(X1,X2),esk1_2(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_4) ).

cnf(i_0_8,plain,
    ( X1 = esk5_0
    | ~ r1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_8) ).

cnf(i_0_26,plain,
    r1(esk13_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_26) ).

cnf(i_0_25,plain,
    r3(X1,esk13_1(X1),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_25) ).

cnf(i_0_2,plain,
    r2(esk4_2(X1,X2),esk1_2(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_2) ).

cnf(i_0_16,plain,
    ( r2(X1,X2)
    | X2 != esk10_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_16) ).

cnf(i_0_22,plain,
    ( X1 = esk11_2(X2,X3)
    | ~ r3(X2,X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_22) ).

cnf(i_0_1,plain,
    r3(X1,X2,esk4_2(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dm8xaihs/input.p',i_0_1) ).

cnf(c_0_52,plain,
    ( X1 = esk10_1(X2)
    | ~ r2(X2,X1) ),
    i_0_17 ).

cnf(c_0_53,plain,
    r2(X1,esk3_2(X2,X1)),
    i_0_5 ).

cnf(c_0_54,negated_conjecture,
    ( X1 != X2
    | ~ r1(X3)
    | ~ r1(X4)
    | ~ r1(X5)
    | ~ r2(X3,X2)
    | ~ r2(X4,X6)
    | ~ r3(X5,X6,X1) ),
    i_0_40 ).

cnf(c_0_55,plain,
    r3(X1,esk3_2(X1,X2),esk1_2(X1,X2)),
    i_0_4 ).

cnf(c_0_56,plain,
    esk3_2(X1,X2) = esk10_1(X2),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,plain,
    ( X1 = esk5_0
    | ~ r1(X1) ),
    i_0_8 ).

cnf(c_0_58,plain,
    r1(esk13_1(X1)),
    i_0_26 ).

cnf(c_0_59,negated_conjecture,
    ( ~ r3(X1,X2,X3)
    | ~ r2(X4,X2)
    | ~ r2(X5,X3)
    | ~ r1(X1)
    | ~ r1(X4)
    | ~ r1(X5) ),
    inference(er,[status(thm)],[c_0_54]) ).

cnf(c_0_60,plain,
    r3(X1,esk10_1(X2),esk1_2(X1,X2)),
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,plain,
    r3(X1,esk13_1(X1),X1),
    i_0_25 ).

cnf(c_0_62,plain,
    esk13_1(X1) = esk5_0,
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ r2(X1,esk1_2(X2,X3))
    | ~ r2(X4,esk10_1(X3))
    | ~ r1(X2)
    | ~ r1(X4)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_64,plain,
    r2(esk4_2(X1,X2),esk1_2(X1,X2)),
    i_0_2 ).

cnf(c_0_65,plain,
    ( r2(X1,X2)
    | X2 != esk10_1(X1) ),
    i_0_16 ).

cnf(c_0_66,plain,
    ( X1 = esk11_2(X2,X3)
    | ~ r3(X2,X3,X1) ),
    i_0_22 ).

cnf(c_0_67,plain,
    r3(X1,esk5_0,X1),
    inference(rw,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_68,plain,
    r3(X1,X2,esk4_2(X1,X2)),
    i_0_1 ).

cnf(c_0_69,plain,
    ( ~ r2(X1,esk10_1(X2))
    | ~ r1(esk4_2(X3,X2))
    | ~ r1(X3)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_70,plain,
    r2(X1,esk10_1(X1)),
    inference(er,[status(thm)],[c_0_65]) ).

cnf(c_0_71,plain,
    esk11_2(X1,esk5_0) = X1,
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,plain,
    esk11_2(X1,X2) = esk4_2(X1,X2),
    inference(spm,[status(thm)],[c_0_66,c_0_68]) ).

cnf(c_0_73,plain,
    ( ~ r1(esk4_2(X1,X2))
    | ~ r1(X1)
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_74,plain,
    esk4_2(X1,esk5_0) = X1,
    inference(rw,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_75,plain,
    r1(esk5_0),
    inference(rw,[status(thm)],[c_0_58,c_0_62]) ).

cnf(c_0_76,plain,
    ~ r1(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).

cnf(c_0_77,plain,
    $false,
    inference(sr,[status(thm)],[c_0_75,c_0_76]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUN054+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n018.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun  2 07:36:17 EDT 2022
% 0.11/0.33  % 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
% 7.85/2.42  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.85/2.42  # Version: 2.1pre011
% 7.85/2.42  # Preprocessing time       : 0.017 s
% 7.85/2.42  
% 7.85/2.42  # Proof found!
% 7.85/2.42  # SZS status Theorem
% 7.85/2.42  # SZS output start CNFRefutation
% See solution above
% 7.85/2.42  # Proof object total steps             : 37
% 7.85/2.42  # Proof object clause steps            : 26
% 7.85/2.42  # Proof object formula steps           : 11
% 7.85/2.42  # Proof object conjectures             : 4
% 7.85/2.42  # Proof object clause conjectures      : 3
% 7.85/2.42  # Proof object formula conjectures     : 1
% 7.85/2.42  # Proof object initial clauses used    : 11
% 7.85/2.42  # Proof object initial formulas used   : 11
% 7.85/2.42  # Proof object generating inferences   : 9
% 7.85/2.42  # Proof object simplifying inferences  : 8
% 7.85/2.42  # Training examples: 0 positive, 0 negative
% 7.85/2.42  # Parsed axioms                        : 28
% 7.85/2.42  # Removed by relevancy pruning/SinE    : 0
% 7.85/2.42  # Initial clauses                      : 28
% 7.85/2.42  # Removed in clause preprocessing      : 0
% 7.85/2.42  # Initial clauses in saturation        : 28
% 7.85/2.42  # Processed clauses                    : 102
% 7.85/2.42  # ...of these trivial                  : 0
% 7.85/2.42  # ...subsumed                          : 20
% 7.85/2.42  # ...remaining for further processing  : 82
% 7.85/2.42  # Other redundant clauses eliminated   : 5
% 7.85/2.42  # Clauses deleted for lack of memory   : 0
% 7.85/2.42  # Backward-subsumed                    : 1
% 7.85/2.42  # Backward-rewritten                   : 18
% 7.85/2.42  # Generated clauses                    : 143
% 7.85/2.42  # ...of the previous two non-trivial   : 128
% 7.85/2.42  # Contextual simplify-reflections      : 13
% 7.85/2.42  # Paramodulations                      : 130
% 7.85/2.42  # Factorizations                       : 0
% 7.85/2.42  # Equation resolutions                 : 9
% 7.85/2.42  # Propositional unsat checks           : 0
% 7.85/2.42  # Propositional unsat check successes  : 0
% 7.85/2.42  # Current number of processed clauses  : 56
% 7.85/2.42  #    Positive orientable unit clauses  : 19
% 7.85/2.42  #    Positive unorientable unit clauses: 0
% 7.85/2.42  #    Negative unit clauses             : 5
% 7.85/2.42  #    Non-unit-clauses                  : 32
% 7.85/2.42  # Current number of unprocessed clauses: 28
% 7.85/2.42  # ...number of literals in the above   : 73
% 7.85/2.42  # Current number of archived formulas  : 0
% 7.85/2.42  # Current number of archived clauses   : 23
% 7.85/2.42  # Clause-clause subsumption calls (NU) : 565
% 7.85/2.42  # Rec. Clause-clause subsumption calls : 309
% 7.85/2.42  # Non-unit clause-clause subsumptions  : 29
% 7.85/2.42  # Unit Clause-clause subsumption calls : 129
% 7.85/2.42  # Rewrite failures with RHS unbound    : 0
% 7.85/2.42  # BW rewrite match attempts            : 25
% 7.85/2.42  # BW rewrite match successes           : 10
% 7.85/2.42  # Condensation attempts                : 0
% 7.85/2.42  # Condensation successes               : 0
% 7.85/2.42  # Termbank termtop insertions          : 1701
% 7.85/2.42  
% 7.85/2.42  # -------------------------------------------------
% 7.85/2.42  # User time                : 0.016 s
% 7.85/2.42  # System time              : 0.004 s
% 7.85/2.42  # Total time               : 0.021 s
% 7.85/2.42  # ...preprocessing         : 0.017 s
% 7.85/2.42  # ...main loop             : 0.004 s
% 7.85/2.42  # Maximum resident set size: 7124 pages
% 7.85/2.42  
%------------------------------------------------------------------------------