TSTP Solution File: SWC003+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC003+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 20:12:59 EDT 2022

% Result   : Theorem 7.95s 2.85s
% Output   : CNFRefutation 7.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   37 (  16 unt;   2 nHn;  37 RR)
%            Number of literals    :   80 (  22 equ;  47 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_206,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_206) ).

cnf(i_0_208,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_208) ).

cnf(i_0_203,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,X3),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ neq(X3,nil)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_203) ).

cnf(i_0_207,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_207) ).

cnf(i_0_195,negated_conjecture,
    ( app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_195) ).

cnf(i_0_193,negated_conjecture,
    ( app(esk53_0,esk54_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_193) ).

cnf(i_0_197,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_197) ).

cnf(i_0_199,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_199) ).

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

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

cnf(i_0_201,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_201) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_43) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-krcvvsgh/input.p',i_0_53) ).

cnf(c_0_222,negated_conjecture,
    neq(esk49_0,nil),
    i_0_206 ).

cnf(c_0_223,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_208 ).

cnf(c_0_224,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,X3),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ neq(X3,nil)
    | ~ neq(esk51_0,nil) ),
    i_0_203 ).

cnf(c_0_225,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_207 ).

cnf(c_0_226,negated_conjecture,
    neq(esk51_0,nil),
    inference(rw,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_227,negated_conjecture,
    ( app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_228,negated_conjecture,
    ( app(esk53_0,esk54_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_229,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_230,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_199 ).

cnf(c_0_231,negated_conjecture,
    ( app(app(X1,X2),X3) != esk51_0
    | app(X1,X3) != esk50_0
    | ~ neq(X2,nil)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_225]),c_0_223]),c_0_226])]) ).

cnf(c_0_232,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_226])]) ).

cnf(c_0_233,negated_conjecture,
    app(esk53_0,esk54_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_226])]) ).

cnf(c_0_234,negated_conjecture,
    ssList(esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_226])]) ).

cnf(c_0_235,negated_conjecture,
    ssList(esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_226])]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ neq(cons(esk52_0,nil),nil)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_234]),c_0_235])]) ).

cnf(c_0_237,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_238,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_239,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_201 ).

cnf(c_0_240,plain,
    ( cons(esk52_0,nil) = nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238])]) ).

cnf(c_0_241,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_242,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_226])]) ).

cnf(c_0_243,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_244,plain,
    cons(esk52_0,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]),c_0_238])]) ).

cnf(c_0_245,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_242]),c_0_238])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC003+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 00:04:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/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
% 7.95/2.85  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.95/2.85  # Version: 2.1pre011
% 7.95/2.85  # Preprocessing time       : 0.024 s
% 7.95/2.85  
% 7.95/2.85  # Proof found!
% 7.95/2.85  # SZS status Theorem
% 7.95/2.85  # SZS output start CNFRefutation
% See solution above
% 7.95/2.85  # Proof object total steps             : 37
% 7.95/2.85  # Proof object clause steps            : 24
% 7.95/2.85  # Proof object formula steps           : 13
% 7.95/2.85  # Proof object conjectures             : 26
% 7.95/2.85  # Proof object clause conjectures      : 17
% 7.95/2.85  # Proof object formula conjectures     : 9
% 7.95/2.85  # Proof object initial clauses used    : 13
% 7.95/2.85  # Proof object initial formulas used   : 13
% 7.95/2.85  # Proof object generating inferences   : 4
% 7.95/2.85  # Proof object simplifying inferences  : 27
% 7.95/2.85  # Training examples: 0 positive, 0 negative
% 7.95/2.85  # Parsed axioms                        : 210
% 7.95/2.85  # Removed by relevancy pruning/SinE    : 0
% 7.95/2.85  # Initial clauses                      : 210
% 7.95/2.85  # Removed in clause preprocessing      : 0
% 7.95/2.85  # Initial clauses in saturation        : 210
% 7.95/2.85  # Processed clauses                    : 229
% 7.95/2.85  # ...of these trivial                  : 10
% 7.95/2.85  # ...subsumed                          : 4
% 7.95/2.85  # ...remaining for further processing  : 215
% 7.95/2.85  # Other redundant clauses eliminated   : 82
% 7.95/2.85  # Clauses deleted for lack of memory   : 0
% 7.95/2.85  # Backward-subsumed                    : 0
% 7.95/2.85  # Backward-rewritten                   : 8
% 7.95/2.85  # Generated clauses                    : 982
% 7.95/2.85  # ...of the previous two non-trivial   : 793
% 7.95/2.85  # Contextual simplify-reflections      : 2
% 7.95/2.85  # Paramodulations                      : 883
% 7.95/2.85  # Factorizations                       : 0
% 7.95/2.85  # Equation resolutions                 : 99
% 7.95/2.85  # Propositional unsat checks           : 0
% 7.95/2.85  # Propositional unsat check successes  : 0
% 7.95/2.85  # Current number of processed clauses  : 201
% 7.95/2.85  #    Positive orientable unit clauses  : 20
% 7.95/2.85  #    Positive unorientable unit clauses: 0
% 7.95/2.85  #    Negative unit clauses             : 2
% 7.95/2.85  #    Non-unit-clauses                  : 179
% 7.95/2.85  # Current number of unprocessed clauses: 733
% 7.95/2.85  # ...number of literals in the above   : 5464
% 7.95/2.85  # Current number of archived formulas  : 0
% 7.95/2.85  # Current number of archived clauses   : 8
% 7.95/2.85  # Clause-clause subsumption calls (NU) : 6829
% 7.95/2.85  # Rec. Clause-clause subsumption calls : 1806
% 7.95/2.85  # Non-unit clause-clause subsumptions  : 6
% 7.95/2.85  # Unit Clause-clause subsumption calls : 1
% 7.95/2.85  # Rewrite failures with RHS unbound    : 0
% 7.95/2.85  # BW rewrite match attempts            : 1
% 7.95/2.85  # BW rewrite match successes           : 1
% 7.95/2.85  # Condensation attempts                : 0
% 7.95/2.85  # Condensation successes               : 0
% 7.95/2.85  # Termbank termtop insertions          : 25242
% 7.95/2.85  
% 7.95/2.85  # -------------------------------------------------
% 7.95/2.85  # User time                : 0.051 s
% 7.95/2.85  # System time              : 0.005 s
% 7.95/2.85  # Total time               : 0.056 s
% 7.95/2.85  # ...preprocessing         : 0.024 s
% 7.95/2.85  # ...main loop             : 0.032 s
% 7.95/2.85  # Maximum resident set size: 7124 pages
% 7.95/2.85  
%------------------------------------------------------------------------------