TSTP Solution File: SWC010+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC010+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 20:13:02 EDT 2022

% Result   : Theorem 7.33s 2.36s
% Output   : CNFRefutation 7.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   26 (  13 unt;   0 nHn;  26 RR)
%            Number of literals    :   50 (  16 equ;  27 neg)
%            Maximal clause size   :    6 (   1 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   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_206,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/input.p',i_0_206) ).

cnf(i_0_208,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/input.p',i_0_208) ).

cnf(i_0_203,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,cons(X3,nil)),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/input.p',i_0_203) ).

cnf(i_0_207,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/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/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/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/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/input.p',i_0_193) ).

cnf(i_0_201,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/input.p',i_0_201) ).

cnf(i_0_197,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/input.p',i_0_197) ).

cnf(i_0_199,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pl655cux/input.p',i_0_199) ).

cnf(c_0_218,negated_conjecture,
    neq(esk49_0,nil),
    i_0_206 ).

cnf(c_0_219,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_208 ).

cnf(c_0_220,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,cons(X3,nil)),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ neq(esk51_0,nil) ),
    i_0_203 ).

cnf(c_0_221,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_207 ).

cnf(c_0_222,negated_conjecture,
    neq(esk51_0,nil),
    inference(rw,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_223,negated_conjecture,
    ( app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_224,negated_conjecture,
    ( app(esk53_0,esk54_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_225,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_201 ).

cnf(c_0_226,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_227,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_199 ).

cnf(c_0_228,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != esk51_0
    | app(X1,X3) != esk50_0
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_221]),c_0_219]),c_0_222])]) ).

cnf(c_0_229,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_222])]) ).

cnf(c_0_230,negated_conjecture,
    app(esk53_0,esk54_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_222])]) ).

cnf(c_0_231,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_222])]) ).

cnf(c_0_232,negated_conjecture,
    ssList(esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_222])]) ).

cnf(c_0_233,negated_conjecture,
    ssList(esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_222])]) ).

cnf(c_0_234,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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]),c_0_232]),c_0_233])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC010+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 17:40:28 EDT 2022
% 0.12/0.33  % 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
% 7.33/2.36  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.33/2.36  # Version: 2.1pre011
% 7.33/2.36  # Preprocessing time       : 0.013 s
% 7.33/2.36  
% 7.33/2.36  # Proof found!
% 7.33/2.36  # SZS status Theorem
% 7.33/2.36  # SZS output start CNFRefutation
% See solution above
% 7.33/2.36  # Proof object total steps             : 26
% 7.33/2.36  # Proof object clause steps            : 17
% 7.33/2.36  # Proof object formula steps           : 9
% 7.33/2.36  # Proof object conjectures             : 26
% 7.33/2.36  # Proof object clause conjectures      : 17
% 7.33/2.36  # Proof object formula conjectures     : 9
% 7.33/2.36  # Proof object initial clauses used    : 9
% 7.33/2.36  # Proof object initial formulas used   : 9
% 7.33/2.36  # Proof object generating inferences   : 1
% 7.33/2.36  # Proof object simplifying inferences  : 20
% 7.33/2.36  # Training examples: 0 positive, 0 negative
% 7.33/2.36  # Parsed axioms                        : 210
% 7.33/2.36  # Removed by relevancy pruning/SinE    : 0
% 7.33/2.36  # Initial clauses                      : 210
% 7.33/2.36  # Removed in clause preprocessing      : 0
% 7.33/2.36  # Initial clauses in saturation        : 210
% 7.33/2.36  # Processed clauses                    : 64
% 7.33/2.36  # ...of these trivial                  : 8
% 7.33/2.36  # ...subsumed                          : 0
% 7.33/2.36  # ...remaining for further processing  : 56
% 7.33/2.36  # Other redundant clauses eliminated   : 2
% 7.33/2.36  # Clauses deleted for lack of memory   : 0
% 7.33/2.36  # Backward-subsumed                    : 0
% 7.33/2.36  # Backward-rewritten                   : 0
% 7.33/2.36  # Generated clauses                    : 9
% 7.33/2.36  # ...of the previous two non-trivial   : 8
% 7.33/2.36  # Contextual simplify-reflections      : 0
% 7.33/2.36  # Paramodulations                      : 7
% 7.33/2.36  # Factorizations                       : 0
% 7.33/2.36  # Equation resolutions                 : 2
% 7.33/2.36  # Propositional unsat checks           : 0
% 7.33/2.36  # Propositional unsat check successes  : 0
% 7.33/2.36  # Current number of processed clauses  : 54
% 7.33/2.36  #    Positive orientable unit clauses  : 20
% 7.33/2.36  #    Positive unorientable unit clauses: 0
% 7.33/2.36  #    Negative unit clauses             : 2
% 7.33/2.36  #    Non-unit-clauses                  : 32
% 7.33/2.36  # Current number of unprocessed clauses: 154
% 7.33/2.36  # ...number of literals in the above   : 639
% 7.33/2.36  # Current number of archived formulas  : 0
% 7.33/2.36  # Current number of archived clauses   : 0
% 7.33/2.36  # Clause-clause subsumption calls (NU) : 191
% 7.33/2.36  # Rec. Clause-clause subsumption calls : 135
% 7.33/2.36  # Non-unit clause-clause subsumptions  : 0
% 7.33/2.36  # Unit Clause-clause subsumption calls : 0
% 7.33/2.36  # Rewrite failures with RHS unbound    : 0
% 7.33/2.36  # BW rewrite match attempts            : 0
% 7.33/2.36  # BW rewrite match successes           : 0
% 7.33/2.36  # Condensation attempts                : 0
% 7.33/2.36  # Condensation successes               : 0
% 7.33/2.36  # Termbank termtop insertions          : 5036
% 7.33/2.36  
% 7.33/2.36  # -------------------------------------------------
% 7.33/2.36  # User time                : 0.010 s
% 7.33/2.36  # System time              : 0.004 s
% 7.33/2.36  # Total time               : 0.014 s
% 7.33/2.36  # ...preprocessing         : 0.013 s
% 7.33/2.36  # ...main loop             : 0.001 s
% 7.33/2.36  # Maximum resident set size: 7128 pages
% 7.33/2.36  
%------------------------------------------------------------------------------