TSTP Solution File: SWC371+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC371+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 20:15:16 EDT 2022

% Result   : Theorem 8.19s 2.49s
% Output   : CNFRefutation 8.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   25 (  19 unt;   0 nHn;  25 RR)
%            Number of literals    :   43 (  12 equ;  21 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_149,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_149) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_60) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_44) ).

cnf(i_0_192,negated_conjecture,
    ~ segmentP(esk49_0,esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_192) ).

cnf(i_0_197,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_198) ).

cnf(i_0_195,negated_conjecture,
    app(esk50_0,esk52_0) = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_195) ).

cnf(i_0_196,negated_conjecture,
    ssList(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_196) ).

cnf(i_0_200,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_200) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_5r14mdj/input.p',i_0_201) ).

cnf(c_0_212,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_213,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_214,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_215,negated_conjecture,
    ~ segmentP(esk49_0,esk48_0),
    i_0_192 ).

cnf(c_0_216,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_197 ).

cnf(c_0_217,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_198 ).

cnf(c_0_218,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214])]) ).

cnf(c_0_219,negated_conjecture,
    app(esk50_0,esk52_0) = esk51_0,
    i_0_195 ).

cnf(c_0_220,negated_conjecture,
    ssList(esk52_0),
    i_0_196 ).

cnf(c_0_221,negated_conjecture,
    ssList(esk50_0),
    i_0_200 ).

cnf(c_0_222,negated_conjecture,
    ssList(esk49_0),
    i_0_201 ).

cnf(c_0_223,negated_conjecture,
    ~ segmentP(esk51_0,esk50_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_216]),c_0_217]) ).

cnf(c_0_224,negated_conjecture,
    ( segmentP(X1,esk50_0)
    | esk51_0 != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221])]) ).

cnf(c_0_225,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_222,c_0_217]) ).

cnf(c_0_226,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC371+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n020.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 11 22:15:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.19/2.49  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.19/2.49  # Version: 2.1pre011
% 8.19/2.49  # Preprocessing time       : 0.022 s
% 8.19/2.49  
% 8.19/2.49  # Proof found!
% 8.19/2.49  # SZS status Theorem
% 8.19/2.49  # SZS output start CNFRefutation
% See solution above
% 8.19/2.49  # Proof object total steps             : 25
% 8.19/2.49  # Proof object clause steps            : 15
% 8.19/2.49  # Proof object formula steps           : 10
% 8.19/2.49  # Proof object conjectures             : 18
% 8.19/2.49  # Proof object clause conjectures      : 11
% 8.19/2.49  # Proof object formula conjectures     : 7
% 8.19/2.49  # Proof object initial clauses used    : 10
% 8.19/2.49  # Proof object initial formulas used   : 10
% 8.19/2.49  # Proof object generating inferences   : 3
% 8.19/2.49  # Proof object simplifying inferences  : 10
% 8.19/2.49  # Training examples: 0 positive, 0 negative
% 8.19/2.49  # Parsed axioms                        : 200
% 8.19/2.49  # Removed by relevancy pruning/SinE    : 0
% 8.19/2.49  # Initial clauses                      : 200
% 8.19/2.49  # Removed in clause preprocessing      : 0
% 8.19/2.49  # Initial clauses in saturation        : 200
% 8.19/2.49  # Processed clauses                    : 398
% 8.19/2.49  # ...of these trivial                  : 14
% 8.19/2.49  # ...subsumed                          : 85
% 8.19/2.49  # ...remaining for further processing  : 299
% 8.19/2.49  # Other redundant clauses eliminated   : 101
% 8.19/2.49  # Clauses deleted for lack of memory   : 0
% 8.19/2.49  # Backward-subsumed                    : 13
% 8.19/2.49  # Backward-rewritten                   : 1
% 8.19/2.49  # Generated clauses                    : 1472
% 8.19/2.49  # ...of the previous two non-trivial   : 1260
% 8.19/2.49  # Contextual simplify-reflections      : 83
% 8.19/2.49  # Paramodulations                      : 1341
% 8.19/2.49  # Factorizations                       : 0
% 8.19/2.49  # Equation resolutions                 : 131
% 8.19/2.49  # Propositional unsat checks           : 0
% 8.19/2.49  # Propositional unsat check successes  : 0
% 8.19/2.49  # Current number of processed clauses  : 279
% 8.19/2.49  #    Positive orientable unit clauses  : 21
% 8.19/2.49  #    Positive unorientable unit clauses: 0
% 8.19/2.49  #    Negative unit clauses             : 8
% 8.19/2.49  #    Non-unit-clauses                  : 250
% 8.19/2.49  # Current number of unprocessed clauses: 1052
% 8.19/2.49  # ...number of literals in the above   : 7629
% 8.19/2.49  # Current number of archived formulas  : 0
% 8.19/2.49  # Current number of archived clauses   : 14
% 8.19/2.49  # Clause-clause subsumption calls (NU) : 16030
% 8.19/2.49  # Rec. Clause-clause subsumption calls : 3108
% 8.19/2.49  # Non-unit clause-clause subsumptions  : 143
% 8.19/2.49  # Unit Clause-clause subsumption calls : 447
% 8.19/2.49  # Rewrite failures with RHS unbound    : 0
% 8.19/2.49  # BW rewrite match attempts            : 1
% 8.19/2.49  # BW rewrite match successes           : 1
% 8.19/2.49  # Condensation attempts                : 0
% 8.19/2.49  # Condensation successes               : 0
% 8.19/2.49  # Termbank termtop insertions          : 33391
% 8.19/2.49  
% 8.19/2.49  # -------------------------------------------------
% 8.19/2.49  # User time                : 0.056 s
% 8.19/2.49  # System time              : 0.005 s
% 8.19/2.49  # Total time               : 0.061 s
% 8.19/2.49  # ...preprocessing         : 0.022 s
% 8.19/2.49  # ...main loop             : 0.039 s
% 8.19/2.49  # Maximum resident set size: 7132 pages
% 8.19/2.49  
%------------------------------------------------------------------------------