TSTP Solution File: SWC348+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC348+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 20:15:08 EDT 2022

% Result   : Theorem 7.64s 2.52s
% Output   : CNFRefutation 7.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   46 (  19 unt;   5 nHn;  46 RR)
%            Number of literals    :  101 (  21 equ;  53 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_44) ).

cnf(i_0_198,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_198) ).

cnf(i_0_195,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_195) ).

cnf(i_0_106,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ segmentP(X2,X1)
    | ~ segmentP(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_106) ).

cnf(i_0_193,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_193) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_197) ).

cnf(i_0_105,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ segmentP(X3,X2)
    | ~ segmentP(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_105) ).

cnf(i_0_110,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_110) ).

cnf(i_0_109,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_109) ).

cnf(i_0_128,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_128) ).

cnf(i_0_99,plain,
    ( cons(esk31_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_99) ).

cnf(i_0_100,plain,
    ( ssItem(esk31_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_100) ).

cnf(i_0_192,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_192) ).

cnf(i_0_191,negated_conjecture,
    ( ~ strictorderedP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_191) ).

cnf(i_0_194,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_194) ).

cnf(i_0_129,plain,
    strictorderedP(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1lzh3k5/input.p',i_0_129) ).

cnf(c_0_216,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_217,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_218,negated_conjecture,
    ssList(esk49_0),
    i_0_198 ).

cnf(c_0_219,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_195 ).

cnf(c_0_220,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_221,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_222,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ segmentP(X2,X1)
    | ~ segmentP(X1,X2) ),
    i_0_106 ).

cnf(c_0_223,negated_conjecture,
    segmentP(esk51_0,esk50_0),
    i_0_193 ).

cnf(c_0_224,negated_conjecture,
    ssList(esk50_0),
    i_0_197 ).

cnf(c_0_225,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ segmentP(X3,X2)
    | ~ segmentP(X1,X3) ),
    i_0_105 ).

cnf(c_0_226,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    i_0_110 ).

cnf(c_0_227,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    i_0_109 ).

cnf(c_0_228,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_128 ).

cnf(c_0_229,plain,
    ( cons(esk31_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    i_0_99 ).

cnf(c_0_230,plain,
    ( ssItem(esk31_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    i_0_100 ).

cnf(c_0_231,negated_conjecture,
    ( singletonP(esk50_0)
    | ~ neq(esk51_0,nil) ),
    i_0_192 ).

cnf(c_0_232,negated_conjecture,
    ( esk51_0 = nil
    | neq(esk51_0,nil) ),
    inference(spm,[status(thm)],[c_0_220,c_0_221]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ strictorderedP(esk48_0)
    | ~ segmentP(esk49_0,esk48_0) ),
    i_0_191 ).

cnf(c_0_234,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_194 ).

cnf(c_0_235,negated_conjecture,
    ( esk51_0 = esk50_0
    | ~ segmentP(esk50_0,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_221]),c_0_224])]) ).

cnf(c_0_236,plain,
    ( segmentP(X1,X2)
    | nil != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_217])]),c_0_227]) ).

cnf(c_0_237,plain,
    ( strictorderedP(X1)
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).

cnf(c_0_238,negated_conjecture,
    ( esk51_0 = nil
    | singletonP(esk50_0) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_239,negated_conjecture,
    ~ strictorderedP(esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234]),c_0_234]),c_0_219]),c_0_223])]) ).

cnf(c_0_240,negated_conjecture,
    ( esk51_0 = esk50_0
    | esk51_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_221]),c_0_224])]) ).

cnf(c_0_241,plain,
    esk51_0 = nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_224])]),c_0_239]) ).

cnf(c_0_242,negated_conjecture,
    esk50_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241]),c_0_241])]) ).

cnf(c_0_243,plain,
    strictorderedP(nil),
    i_0_129 ).

cnf(c_0_244,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_242]),c_0_243])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC348+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 11 20:39:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/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
% 7.64/2.52  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.64/2.52  # Version: 2.1pre011
% 7.64/2.52  # Preprocessing time       : 0.014 s
% 7.64/2.52  
% 7.64/2.52  # Proof found!
% 7.64/2.52  # SZS status Theorem
% 7.64/2.52  # SZS output start CNFRefutation
% See solution above
% 7.64/2.52  # Proof object total steps             : 46
% 7.64/2.52  # Proof object clause steps            : 29
% 7.64/2.52  # Proof object formula steps           : 17
% 7.64/2.52  # Proof object conjectures             : 22
% 7.64/2.52  # Proof object clause conjectures      : 15
% 7.64/2.52  # Proof object formula conjectures     : 7
% 7.64/2.52  # Proof object initial clauses used    : 17
% 7.64/2.52  # Proof object initial formulas used   : 17
% 7.64/2.52  # Proof object generating inferences   : 8
% 7.64/2.52  # Proof object simplifying inferences  : 25
% 7.64/2.52  # Training examples: 0 positive, 0 negative
% 7.64/2.52  # Parsed axioms                        : 197
% 7.64/2.52  # Removed by relevancy pruning/SinE    : 0
% 7.64/2.52  # Initial clauses                      : 197
% 7.64/2.52  # Removed in clause preprocessing      : 0
% 7.64/2.52  # Initial clauses in saturation        : 197
% 7.64/2.52  # Processed clauses                    : 261
% 7.64/2.52  # ...of these trivial                  : 2
% 7.64/2.52  # ...subsumed                          : 11
% 7.64/2.52  # ...remaining for further processing  : 248
% 7.64/2.52  # Other redundant clauses eliminated   : 25
% 7.64/2.52  # Clauses deleted for lack of memory   : 0
% 7.64/2.52  # Backward-subsumed                    : 1
% 7.64/2.52  # Backward-rewritten                   : 44
% 7.64/2.52  # Generated clauses                    : 1938
% 7.64/2.52  # ...of the previous two non-trivial   : 1807
% 7.64/2.52  # Contextual simplify-reflections      : 30
% 7.64/2.52  # Paramodulations                      : 1865
% 7.64/2.52  # Factorizations                       : 30
% 7.64/2.52  # Equation resolutions                 : 43
% 7.64/2.52  # Propositional unsat checks           : 0
% 7.64/2.52  # Propositional unsat check successes  : 0
% 7.64/2.52  # Current number of processed clauses  : 197
% 7.64/2.52  #    Positive orientable unit clauses  : 12
% 7.64/2.52  #    Positive unorientable unit clauses: 0
% 7.64/2.52  #    Negative unit clauses             : 2
% 7.64/2.52  #    Non-unit-clauses                  : 183
% 7.64/2.52  # Current number of unprocessed clauses: 873
% 7.64/2.52  # ...number of literals in the above   : 5194
% 7.64/2.52  # Current number of archived formulas  : 0
% 7.64/2.52  # Current number of archived clauses   : 45
% 7.64/2.52  # Clause-clause subsumption calls (NU) : 8972
% 7.64/2.52  # Rec. Clause-clause subsumption calls : 2204
% 7.64/2.52  # Non-unit clause-clause subsumptions  : 41
% 7.64/2.52  # Unit Clause-clause subsumption calls : 194
% 7.64/2.52  # Rewrite failures with RHS unbound    : 0
% 7.64/2.52  # BW rewrite match attempts            : 3
% 7.64/2.52  # BW rewrite match successes           : 3
% 7.64/2.52  # Condensation attempts                : 0
% 7.64/2.52  # Condensation successes               : 0
% 7.64/2.52  # Termbank termtop insertions          : 33118
% 7.64/2.52  
% 7.64/2.52  # -------------------------------------------------
% 7.64/2.52  # User time                : 0.040 s
% 7.64/2.52  # System time              : 0.002 s
% 7.64/2.52  # Total time               : 0.042 s
% 7.64/2.52  # ...preprocessing         : 0.014 s
% 7.64/2.52  # ...main loop             : 0.028 s
% 7.64/2.52  # Maximum resident set size: 7136 pages
% 7.64/2.52  
%------------------------------------------------------------------------------