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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC024+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 : Tue Jul 19 20:13:07 EDT 2022

% Result   : Theorem 7.81s 2.43s
% Output   : CNFRefutation 7.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (  19 unt;   2 nHn;  38 RR)
%            Number of literals    :   82 (  19 equ;  50 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_197,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_197) ).

cnf(i_0_199,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_199) ).

cnf(i_0_196,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ frontsegP(esk48_0,X1)
    | ~ frontsegP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_196) ).

cnf(i_0_198,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_198) ).

cnf(i_0_113,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_113) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_58) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_42) ).

cnf(i_0_191,negated_conjecture,
    ( nil = esk51_0
    | esk50_0 != nil ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_191) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_44) ).

cnf(i_0_194,negated_conjecture,
    app(esk50_0,esk52_0) = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_194) ).

cnf(i_0_195,negated_conjecture,
    ssList(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_195) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_201) ).

cnf(i_0_87,plain,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-idnz1pp0/input.p',i_0_87) ).

cnf(c_0_216,negated_conjecture,
    neq(esk49_0,nil),
    i_0_197 ).

cnf(c_0_217,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_199 ).

cnf(c_0_218,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ frontsegP(esk48_0,X1)
    | ~ frontsegP(esk49_0,X1) ),
    i_0_196 ).

cnf(c_0_219,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_198 ).

cnf(c_0_220,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_113 ).

cnf(c_0_221,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_222,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_223,negated_conjecture,
    neq(esk51_0,nil),
    inference(rw,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_224,negated_conjecture,
    ( nil = esk51_0
    | esk50_0 != nil ),
    i_0_191 ).

cnf(c_0_225,negated_conjecture,
    ( ~ frontsegP(esk50_0,X1)
    | ~ frontsegP(esk51_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219]),c_0_217]) ).

cnf(c_0_226,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_227,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_228,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_220]),c_0_221]) ).

cnf(c_0_229,negated_conjecture,
    app(esk50_0,esk52_0) = esk51_0,
    i_0_194 ).

cnf(c_0_230,negated_conjecture,
    ssList(esk52_0),
    i_0_195 ).

cnf(c_0_231,negated_conjecture,
    ssList(esk50_0),
    i_0_201 ).

cnf(c_0_232,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_222]) ).

cnf(c_0_233,negated_conjecture,
    ( neq(nil,nil)
    | esk50_0 != nil ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_234,negated_conjecture,
    ( X1 = nil
    | ~ frontsegP(esk50_0,X1)
    | ~ frontsegP(esk51_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227])]) ).

cnf(c_0_235,negated_conjecture,
    frontsegP(esk51_0,esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]),c_0_231])]) ).

cnf(c_0_236,plain,
    esk50_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_227])]) ).

cnf(c_0_237,negated_conjecture,
    ~ frontsegP(esk50_0,esk50_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_231])]),c_0_236]) ).

cnf(c_0_238,plain,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    i_0_87 ).

cnf(c_0_239,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_231])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC024+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n014.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 04:14:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.81/2.43  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.81/2.43  # Version: 2.1pre011
% 7.81/2.43  # Preprocessing time       : 0.012 s
% 7.81/2.43  
% 7.81/2.43  # Proof found!
% 7.81/2.43  # SZS status Theorem
% 7.81/2.43  # SZS output start CNFRefutation
% See solution above
% 7.81/2.43  # Proof object total steps             : 38
% 7.81/2.43  # Proof object clause steps            : 24
% 7.81/2.43  # Proof object formula steps           : 14
% 7.81/2.43  # Proof object conjectures             : 22
% 7.81/2.43  # Proof object clause conjectures      : 14
% 7.81/2.43  # Proof object formula conjectures     : 8
% 7.81/2.43  # Proof object initial clauses used    : 14
% 7.81/2.43  # Proof object initial formulas used   : 14
% 7.81/2.43  # Proof object generating inferences   : 7
% 7.81/2.43  # Proof object simplifying inferences  : 17
% 7.81/2.43  # Training examples: 0 positive, 0 negative
% 7.81/2.43  # Parsed axioms                        : 201
% 7.81/2.43  # Removed by relevancy pruning/SinE    : 0
% 7.81/2.43  # Initial clauses                      : 201
% 7.81/2.43  # Removed in clause preprocessing      : 0
% 7.81/2.43  # Initial clauses in saturation        : 201
% 7.81/2.43  # Processed clauses                    : 246
% 7.81/2.43  # ...of these trivial                  : 4
% 7.81/2.43  # ...subsumed                          : 21
% 7.81/2.43  # ...remaining for further processing  : 221
% 7.81/2.43  # Other redundant clauses eliminated   : 82
% 7.81/2.43  # Clauses deleted for lack of memory   : 0
% 7.81/2.43  # Backward-subsumed                    : 1
% 7.81/2.43  # Backward-rewritten                   : 0
% 7.81/2.43  # Generated clauses                    : 952
% 7.81/2.43  # ...of the previous two non-trivial   : 796
% 7.81/2.43  # Contextual simplify-reflections      : 12
% 7.81/2.43  # Paramodulations                      : 853
% 7.81/2.43  # Factorizations                       : 0
% 7.81/2.43  # Equation resolutions                 : 99
% 7.81/2.43  # Propositional unsat checks           : 0
% 7.81/2.43  # Propositional unsat check successes  : 0
% 7.81/2.43  # Current number of processed clauses  : 214
% 7.81/2.43  #    Positive orientable unit clauses  : 22
% 7.81/2.43  #    Positive unorientable unit clauses: 0
% 7.81/2.43  #    Negative unit clauses             : 6
% 7.81/2.43  #    Non-unit-clauses                  : 186
% 7.81/2.43  # Current number of unprocessed clauses: 750
% 7.81/2.43  # ...number of literals in the above   : 5485
% 7.81/2.43  # Current number of archived formulas  : 0
% 7.81/2.43  # Current number of archived clauses   : 1
% 7.81/2.43  # Clause-clause subsumption calls (NU) : 7737
% 7.81/2.43  # Rec. Clause-clause subsumption calls : 1842
% 7.81/2.43  # Non-unit clause-clause subsumptions  : 23
% 7.81/2.43  # Unit Clause-clause subsumption calls : 71
% 7.81/2.43  # Rewrite failures with RHS unbound    : 0
% 7.81/2.43  # BW rewrite match attempts            : 0
% 7.81/2.43  # BW rewrite match successes           : 0
% 7.81/2.43  # Condensation attempts                : 0
% 7.81/2.43  # Condensation successes               : 0
% 7.81/2.43  # Termbank termtop insertions          : 24160
% 7.81/2.43  
% 7.81/2.43  # -------------------------------------------------
% 7.81/2.43  # User time                : 0.027 s
% 7.81/2.43  # System time              : 0.005 s
% 7.81/2.43  # Total time               : 0.032 s
% 7.81/2.43  # ...preprocessing         : 0.012 s
% 7.81/2.43  # ...main loop             : 0.020 s
% 7.81/2.43  # Maximum resident set size: 7124 pages
% 7.81/2.43  
%------------------------------------------------------------------------------