TSTP Solution File: SWC387+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC387+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 20:15:22 EDT 2022

% Result   : Theorem 7.38s 2.36s
% Output   : CNFRefutation 7.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  15 unt;   3 nHn;  31 RR)
%            Number of literals    :   55 (  22 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

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

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

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

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

cnf(i_0_194,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezxhcvli/input.p',i_0_194) ).

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

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezxhcvli/input.p',i_0_195) ).

cnf(i_0_196,negated_conjecture,
    ( cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezxhcvli/input.p',i_0_196) ).

cnf(i_0_191,negated_conjecture,
    ( memberP(esk51_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezxhcvli/input.p',i_0_191) ).

cnf(i_0_192,negated_conjecture,
    ( cons(esk52_0,nil) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezxhcvli/input.p',i_0_192) ).

cnf(i_0_193,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ezxhcvli/input.p',i_0_193) ).

cnf(c_0_213,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

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

cnf(c_0_215,negated_conjecture,
    ssList(esk49_0),
    i_0_201 ).

cnf(c_0_216,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_198 ).

cnf(c_0_217,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_194 ).

cnf(c_0_218,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_197 ).

cnf(c_0_219,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_195 ).

cnf(c_0_220,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_221,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_222,negated_conjecture,
    esk51_0 != nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218]),c_0_216]),c_0_219]) ).

cnf(c_0_223,negated_conjecture,
    ( cons(X1,nil) != esk48_0
    | ~ ssItem(X1)
    | ~ memberP(esk49_0,X1) ),
    i_0_196 ).

cnf(c_0_224,negated_conjecture,
    ( memberP(esk51_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_225,negated_conjecture,
    neq(esk51_0,nil),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]) ).

cnf(c_0_226,negated_conjecture,
    ( cons(esk52_0,nil) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_192 ).

cnf(c_0_227,negated_conjecture,
    ( cons(X1,nil) != esk50_0
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_218]),c_0_216]) ).

cnf(c_0_228,negated_conjecture,
    memberP(esk51_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_225])]) ).

cnf(c_0_229,negated_conjecture,
    cons(esk52_0,nil) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_225])]) ).

cnf(c_0_230,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_231,negated_conjecture,
    ~ ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229])]) ).

cnf(c_0_232,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_225])]),c_0_231]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC387+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 : 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 : Sun Jun 12 11:01:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.38/2.36  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.38/2.36  # Version: 2.1pre011
% 7.38/2.36  # Preprocessing time       : 0.012 s
% 7.38/2.36  
% 7.38/2.36  # Proof found!
% 7.38/2.36  # SZS status Theorem
% 7.38/2.36  # SZS output start CNFRefutation
% See solution above
% 7.38/2.36  # Proof object total steps             : 31
% 7.38/2.36  # Proof object clause steps            : 20
% 7.38/2.36  # Proof object formula steps           : 11
% 7.38/2.36  # Proof object conjectures             : 26
% 7.38/2.36  # Proof object clause conjectures      : 17
% 7.38/2.36  # Proof object formula conjectures     : 9
% 7.38/2.36  # Proof object initial clauses used    : 11
% 7.38/2.36  # Proof object initial formulas used   : 11
% 7.38/2.36  # Proof object generating inferences   : 3
% 7.38/2.36  # Proof object simplifying inferences  : 16
% 7.38/2.36  # Training examples: 0 positive, 0 negative
% 7.38/2.36  # Parsed axioms                        : 200
% 7.38/2.36  # Removed by relevancy pruning/SinE    : 0
% 7.38/2.36  # Initial clauses                      : 200
% 7.38/2.36  # Removed in clause preprocessing      : 0
% 7.38/2.36  # Initial clauses in saturation        : 200
% 7.38/2.36  # Processed clauses                    : 237
% 7.38/2.36  # ...of these trivial                  : 4
% 7.38/2.36  # ...subsumed                          : 8
% 7.38/2.36  # ...remaining for further processing  : 224
% 7.38/2.36  # Other redundant clauses eliminated   : 24
% 7.38/2.36  # Clauses deleted for lack of memory   : 0
% 7.38/2.36  # Backward-subsumed                    : 0
% 7.38/2.36  # Backward-rewritten                   : 4
% 7.38/2.36  # Generated clauses                    : 1535
% 7.38/2.36  # ...of the previous two non-trivial   : 1396
% 7.38/2.36  # Contextual simplify-reflections      : 11
% 7.38/2.36  # Paramodulations                      : 1465
% 7.38/2.36  # Factorizations                       : 30
% 7.38/2.36  # Equation resolutions                 : 40
% 7.38/2.36  # Propositional unsat checks           : 0
% 7.38/2.36  # Propositional unsat check successes  : 0
% 7.38/2.36  # Current number of processed clauses  : 214
% 7.38/2.36  #    Positive orientable unit clauses  : 21
% 7.38/2.36  #    Positive unorientable unit clauses: 0
% 7.38/2.36  #    Negative unit clauses             : 4
% 7.38/2.36  #    Non-unit-clauses                  : 189
% 7.38/2.36  # Current number of unprocessed clauses: 1359
% 7.38/2.36  # ...number of literals in the above   : 6505
% 7.38/2.36  # Current number of archived formulas  : 0
% 7.38/2.36  # Current number of archived clauses   : 4
% 7.38/2.36  # Clause-clause subsumption calls (NU) : 8161
% 7.38/2.36  # Rec. Clause-clause subsumption calls : 1875
% 7.38/2.36  # Non-unit clause-clause subsumptions  : 18
% 7.38/2.36  # Unit Clause-clause subsumption calls : 531
% 7.38/2.36  # Rewrite failures with RHS unbound    : 0
% 7.38/2.36  # BW rewrite match attempts            : 2
% 7.38/2.36  # BW rewrite match successes           : 2
% 7.38/2.36  # Condensation attempts                : 0
% 7.38/2.36  # Condensation successes               : 0
% 7.38/2.36  # Termbank termtop insertions          : 27814
% 7.38/2.36  
% 7.38/2.36  # -------------------------------------------------
% 7.38/2.36  # User time                : 0.031 s
% 7.38/2.36  # System time              : 0.002 s
% 7.38/2.36  # Total time               : 0.033 s
% 7.38/2.36  # ...preprocessing         : 0.012 s
% 7.38/2.36  # ...main loop             : 0.021 s
% 7.38/2.36  # Maximum resident set size: 7140 pages
% 7.38/2.36  
%------------------------------------------------------------------------------