TSTP Solution File: SWC320+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC320+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 20:14:58 EDT 2022

% Result   : Theorem 6.96s 2.25s
% Output   : CNFRefutation 6.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   44 (  11 unt;   7 nHn;  44 RR)
%            Number of literals    :   97 (  57 equ;  50 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_194,negated_conjecture,
    ( nil = esk49_0
    | neq(esk49_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_194) ).

cnf(i_0_201,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_201) ).

cnf(i_0_196,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_196) ).

cnf(i_0_200,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_200) ).

cnf(i_0_193,negated_conjecture,
    ( nil = esk49_0
    | app(X1,cons(X2,nil)) != esk49_0
    | app(cons(X2,nil),X1) != esk48_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_193) ).

cnf(i_0_195,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_195) ).

cnf(i_0_197,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_198) ).

cnf(i_0_199,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_199) ).

cnf(i_0_192,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_192) ).

cnf(i_0_191,negated_conjecture,
    ( nil != esk48_0
    | app(X1,cons(X2,nil)) != esk49_0
    | app(cons(X2,nil),X1) != esk48_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xexkns3_/input.p',i_0_191) ).

cnf(c_0_213,negated_conjecture,
    ( nil = esk49_0
    | neq(esk49_0,nil) ),
    i_0_194 ).

cnf(c_0_214,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_201 ).

cnf(c_0_215,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_196 ).

cnf(c_0_216,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_200 ).

cnf(c_0_217,negated_conjecture,
    ( nil = esk49_0
    | app(X1,cons(X2,nil)) != esk49_0
    | app(cons(X2,nil),X1) != esk48_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_193 ).

cnf(c_0_218,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_219,negated_conjecture,
    ( esk51_0 = nil
    | neq(esk51_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_214]),c_0_214]) ).

cnf(c_0_220,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_221,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_198 ).

cnf(c_0_222,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk48_0
    | ~ neq(esk51_0,nil) ),
    inference(rw,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_223,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_199 ).

cnf(c_0_224,negated_conjecture,
    ( esk51_0 = nil
    | app(X1,cons(X2,nil)) != esk51_0
    | app(cons(X2,nil),X1) != esk48_0
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_214]),c_0_214]) ).

cnf(c_0_225,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
    | esk51_0 = nil ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_226,negated_conjecture,
    ( esk51_0 = nil
    | ssList(esk53_0) ),
    inference(spm,[status(thm)],[c_0_220,c_0_219]) ).

cnf(c_0_227,negated_conjecture,
    ( esk51_0 = nil
    | ssItem(esk52_0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_219]) ).

cnf(c_0_228,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk48_0
    | esk51_0 = nil ),
    inference(spm,[status(thm)],[c_0_222,c_0_219]) ).

cnf(c_0_229,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    i_0_192 ).

cnf(c_0_230,negated_conjecture,
    ( nil != esk48_0
    | app(X1,cons(X2,nil)) != esk49_0
    | app(cons(X2,nil),X1) != esk48_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_191 ).

cnf(c_0_231,negated_conjecture,
    ( esk48_0 = nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[c_0_223,c_0_216]) ).

cnf(c_0_232,negated_conjecture,
    esk51_0 = nil,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_227]),c_0_228]) ).

cnf(c_0_233,negated_conjecture,
    ( neq(esk51_0,nil)
    | esk48_0 != nil ),
    inference(rw,[status(thm)],[c_0_229,c_0_214]) ).

cnf(c_0_234,negated_conjecture,
    ( app(X1,cons(X2,nil)) != esk51_0
    | app(cons(X2,nil),X1) != esk48_0
    | esk48_0 != nil
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_230,c_0_214]) ).

cnf(c_0_235,negated_conjecture,
    esk48_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_232])]) ).

cnf(c_0_236,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
    | esk48_0 != nil ),
    inference(spm,[status(thm)],[c_0_218,c_0_233]) ).

cnf(c_0_237,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk48_0
    | esk48_0 != nil ),
    inference(spm,[status(thm)],[c_0_222,c_0_233]) ).

cnf(c_0_238,negated_conjecture,
    ( ssItem(esk52_0)
    | esk48_0 != nil ),
    inference(spm,[status(thm)],[c_0_221,c_0_233]) ).

cnf(c_0_239,negated_conjecture,
    ( ssList(esk53_0)
    | esk48_0 != nil ),
    inference(spm,[status(thm)],[c_0_220,c_0_233]) ).

cnf(c_0_240,negated_conjecture,
    ( app(X1,cons(X2,nil)) != nil
    | app(cons(X2,nil),X1) != nil
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_232]),c_0_235]),c_0_235])]) ).

cnf(c_0_241,negated_conjecture,
    app(esk53_0,cons(esk52_0,nil)) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_232]),c_0_235])]) ).

cnf(c_0_242,negated_conjecture,
    app(cons(esk52_0,nil),esk53_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_235]),c_0_235])]) ).

cnf(c_0_243,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_235])]) ).

cnf(c_0_244,negated_conjecture,
    ssList(esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_235])]) ).

cnf(c_0_245,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[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_243]),c_0_244])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC320+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.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 23:44:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.96/2.25  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 6.96/2.25  # Version: 2.1pre011
% 6.96/2.25  # Preprocessing time       : 0.016 s
% 6.96/2.25  
% 6.96/2.25  # Proof found!
% 6.96/2.25  # SZS status Theorem
% 6.96/2.25  # SZS output start CNFRefutation
% See solution above
% 6.96/2.25  # Proof object total steps             : 44
% 6.96/2.25  # Proof object clause steps            : 33
% 6.96/2.25  # Proof object formula steps           : 11
% 6.96/2.25  # Proof object conjectures             : 44
% 6.96/2.25  # Proof object clause conjectures      : 33
% 6.96/2.25  # Proof object formula conjectures     : 11
% 6.96/2.25  # Proof object initial clauses used    : 11
% 6.96/2.25  # Proof object initial formulas used   : 11
% 6.96/2.25  # Proof object generating inferences   : 10
% 6.96/2.25  # Proof object simplifying inferences  : 31
% 6.96/2.25  # Training examples: 0 positive, 0 negative
% 6.96/2.25  # Parsed axioms                        : 203
% 6.96/2.25  # Removed by relevancy pruning/SinE    : 0
% 6.96/2.25  # Initial clauses                      : 203
% 6.96/2.25  # Removed in clause preprocessing      : 0
% 6.96/2.25  # Initial clauses in saturation        : 203
% 6.96/2.25  # Processed clauses                    : 253
% 6.96/2.25  # ...of these trivial                  : 6
% 6.96/2.25  # ...subsumed                          : 8
% 6.96/2.25  # ...remaining for further processing  : 239
% 6.96/2.25  # Other redundant clauses eliminated   : 24
% 6.96/2.25  # Clauses deleted for lack of memory   : 0
% 6.96/2.25  # Backward-subsumed                    : 2
% 6.96/2.25  # Backward-rewritten                   : 29
% 6.96/2.25  # Generated clauses                    : 1646
% 6.96/2.25  # ...of the previous two non-trivial   : 1506
% 6.96/2.25  # Contextual simplify-reflections      : 17
% 6.96/2.25  # Paramodulations                      : 1574
% 6.96/2.25  # Factorizations                       : 30
% 6.96/2.25  # Equation resolutions                 : 42
% 6.96/2.25  # Propositional unsat checks           : 0
% 6.96/2.25  # Propositional unsat check successes  : 0
% 6.96/2.25  # Current number of processed clauses  : 202
% 6.96/2.25  #    Positive orientable unit clauses  : 18
% 6.96/2.25  #    Positive unorientable unit clauses: 0
% 6.96/2.25  #    Negative unit clauses             : 2
% 6.96/2.25  #    Non-unit-clauses                  : 182
% 6.96/2.25  # Current number of unprocessed clauses: 922
% 6.96/2.25  # ...number of literals in the above   : 5199
% 6.96/2.25  # Current number of archived formulas  : 0
% 6.96/2.25  # Current number of archived clauses   : 31
% 6.96/2.25  # Clause-clause subsumption calls (NU) : 6632
% 6.96/2.25  # Rec. Clause-clause subsumption calls : 1650
% 6.96/2.25  # Non-unit clause-clause subsumptions  : 27
% 6.96/2.25  # Unit Clause-clause subsumption calls : 205
% 6.96/2.25  # Rewrite failures with RHS unbound    : 0
% 6.96/2.25  # BW rewrite match attempts            : 2
% 6.96/2.25  # BW rewrite match successes           : 2
% 6.96/2.25  # Condensation attempts                : 0
% 6.96/2.25  # Condensation successes               : 0
% 6.96/2.25  # Termbank termtop insertions          : 29620
% 6.96/2.25  
% 6.96/2.25  # -------------------------------------------------
% 6.96/2.25  # User time                : 0.035 s
% 6.96/2.25  # System time              : 0.006 s
% 6.96/2.25  # Total time               : 0.041 s
% 6.96/2.25  # ...preprocessing         : 0.016 s
% 6.96/2.25  # ...main loop             : 0.025 s
% 6.96/2.25  # Maximum resident set size: 7140 pages
% 6.96/2.25  
%------------------------------------------------------------------------------