TSTP Solution File: SWC241+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC241+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 20:14:29 EDT 2022

% Result   : Theorem 7.56s 2.38s
% Output   : CNFRefutation 7.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  10 unt;   8 nHn;  30 RR)
%            Number of literals    :   83 (  26 equ;  52 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_197,negated_conjecture,
    ( lt(X1,esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_197) ).

cnf(i_0_202,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_202) ).

cnf(i_0_200,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_200) ).

cnf(i_0_196,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ leq(X2,esk52_3(X2,X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_196) ).

cnf(i_0_201,negated_conjecture,
    nil != esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_201) ).

cnf(i_0_178,plain,
    ( leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_178) ).

cnf(i_0_192,negated_conjecture,
    ( esk50_0 = nil
    | app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk50_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_192) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk53_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_195) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk55_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_193) ).

cnf(i_0_194,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk54_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-48eeexji/input.p',i_0_194) ).

cnf(c_0_213,negated_conjecture,
    ( lt(X1,esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_197 ).

cnf(c_0_214,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_202 ).

cnf(c_0_215,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_200 ).

cnf(c_0_216,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ leq(X2,esk52_3(X2,X1,X3)) ),
    i_0_196 ).

cnf(c_0_217,negated_conjecture,
    nil != esk48_0,
    i_0_201 ).

cnf(c_0_218,plain,
    ( leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ lt(X1,X2) ),
    i_0_178 ).

cnf(c_0_219,negated_conjecture,
    ( lt(X1,esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_220,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[c_0_215,c_0_214]) ).

cnf(c_0_221,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != esk50_0
    | ~ leq(X2,esk52_3(X2,X1,X3))
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_216,c_0_214]) ).

cnf(c_0_222,negated_conjecture,
    ( esk50_0 = nil
    | app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk50_0 ),
    i_0_192 ).

cnf(c_0_223,negated_conjecture,
    esk50_0 != nil,
    inference(rw,[status(thm)],[c_0_217,c_0_214]) ).

cnf(c_0_224,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk53_0) ),
    i_0_195 ).

cnf(c_0_225,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk55_0) ),
    i_0_193 ).

cnf(c_0_226,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk54_0) ),
    i_0_194 ).

cnf(c_0_227,plain,
    ( app(app(X1,cons(X2,nil)),X3) != esk50_0
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221]) ).

cnf(c_0_228,negated_conjecture,
    app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk50_0,
    inference(sr,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_229,negated_conjecture,
    ssItem(esk53_0),
    inference(sr,[status(thm)],[c_0_224,c_0_223]) ).

cnf(c_0_230,negated_conjecture,
    ssList(esk55_0),
    inference(sr,[status(thm)],[c_0_225,c_0_223]) ).

cnf(c_0_231,negated_conjecture,
    ssList(esk54_0),
    inference(sr,[status(thm)],[c_0_226,c_0_223]) ).

cnf(c_0_232,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_227,c_0_228]),c_0_229]),c_0_230]),c_0_231])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC241+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.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 : Mon Jun 13 00:52:35 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.56/2.38  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.56/2.38  # Version: 2.1pre011
% 7.56/2.38  # Preprocessing time       : 0.024 s
% 7.56/2.38  
% 7.56/2.38  # Proof found!
% 7.56/2.38  # SZS status Theorem
% 7.56/2.38  # SZS output start CNFRefutation
% See solution above
% 7.56/2.38  # Proof object total steps             : 30
% 7.56/2.38  # Proof object clause steps            : 20
% 7.56/2.38  # Proof object formula steps           : 10
% 7.56/2.38  # Proof object conjectures             : 27
% 7.56/2.38  # Proof object clause conjectures      : 18
% 7.56/2.38  # Proof object formula conjectures     : 9
% 7.56/2.38  # Proof object initial clauses used    : 10
% 7.56/2.38  # Proof object initial formulas used   : 10
% 7.56/2.38  # Proof object generating inferences   : 2
% 7.56/2.38  # Proof object simplifying inferences  : 14
% 7.56/2.38  # Training examples: 0 positive, 0 negative
% 7.56/2.38  # Parsed axioms                        : 205
% 7.56/2.38  # Removed by relevancy pruning/SinE    : 0
% 7.56/2.38  # Initial clauses                      : 205
% 7.56/2.38  # Removed in clause preprocessing      : 0
% 7.56/2.38  # Initial clauses in saturation        : 205
% 7.56/2.38  # Processed clauses                    : 359
% 7.56/2.38  # ...of these trivial                  : 4
% 7.56/2.38  # ...subsumed                          : 62
% 7.56/2.38  # ...remaining for further processing  : 293
% 7.56/2.38  # Other redundant clauses eliminated   : 86
% 7.56/2.38  # Clauses deleted for lack of memory   : 0
% 7.56/2.38  # Backward-subsumed                    : 23
% 7.56/2.38  # Backward-rewritten                   : 1
% 7.56/2.38  # Generated clauses                    : 1516
% 7.56/2.38  # ...of the previous two non-trivial   : 1312
% 7.56/2.38  # Contextual simplify-reflections      : 73
% 7.56/2.38  # Paramodulations                      : 1405
% 7.56/2.38  # Factorizations                       : 0
% 7.56/2.38  # Equation resolutions                 : 107
% 7.56/2.38  # Propositional unsat checks           : 0
% 7.56/2.38  # Propositional unsat check successes  : 0
% 7.56/2.38  # Current number of processed clauses  : 259
% 7.56/2.38  #    Positive orientable unit clauses  : 18
% 7.56/2.38  #    Positive unorientable unit clauses: 0
% 7.56/2.38  #    Negative unit clauses             : 4
% 7.56/2.38  #    Non-unit-clauses                  : 237
% 7.56/2.38  # Current number of unprocessed clauses: 1037
% 7.56/2.38  # ...number of literals in the above   : 7425
% 7.56/2.38  # Current number of archived formulas  : 0
% 7.56/2.38  # Current number of archived clauses   : 28
% 7.56/2.38  # Clause-clause subsumption calls (NU) : 12653
% 7.56/2.38  # Rec. Clause-clause subsumption calls : 2900
% 7.56/2.38  # Non-unit clause-clause subsumptions  : 142
% 7.56/2.38  # Unit Clause-clause subsumption calls : 116
% 7.56/2.38  # Rewrite failures with RHS unbound    : 0
% 7.56/2.38  # BW rewrite match attempts            : 1
% 7.56/2.38  # BW rewrite match successes           : 1
% 7.56/2.38  # Condensation attempts                : 0
% 7.56/2.38  # Condensation successes               : 0
% 7.56/2.38  # Termbank termtop insertions          : 34892
% 7.56/2.38  
% 7.56/2.38  # -------------------------------------------------
% 7.56/2.38  # User time                : 0.073 s
% 7.56/2.38  # System time              : 0.006 s
% 7.56/2.38  # Total time               : 0.079 s
% 7.56/2.38  # ...preprocessing         : 0.024 s
% 7.56/2.38  # ...main loop             : 0.056 s
% 7.56/2.38  # Maximum resident set size: 7128 pages
% 7.56/2.38  
%------------------------------------------------------------------------------