TSTP Solution File: SWC068+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC068+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 20:13:24 EDT 2022

% Result   : Theorem 6.91s 2.25s
% Output   : CNFRefutation 6.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   37 (  18 unt;   2 nHn;  37 RR)
%            Number of literals    :   86 (  29 equ;  55 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_192,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_192) ).

cnf(i_0_194,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_194) ).

cnf(i_0_149,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_149) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_60) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_44) ).

cnf(i_0_195,negated_conjecture,
    app(esk51_0,esk51_0) = esk50_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_195) ).

cnf(i_0_193,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_193) ).

cnf(i_0_198,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_198) ).

cnf(i_0_191,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_191) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_41) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_197) ).

cnf(i_0_156,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_156) ).

cnf(i_0_107,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4bvguqba/input.p',i_0_107) ).

cnf(c_0_212,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_192 ).

cnf(c_0_213,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_194 ).

cnf(c_0_214,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_215,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_216,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_217,negated_conjecture,
    app(esk51_0,esk51_0) = esk50_0,
    i_0_195 ).

cnf(c_0_218,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_193 ).

cnf(c_0_219,negated_conjecture,
    ssList(esk49_0),
    i_0_198 ).

cnf(c_0_220,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_191 ).

cnf(c_0_221,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_222,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_223,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216])]) ).

cnf(c_0_224,negated_conjecture,
    app(esk51_0,esk51_0) = esk48_0,
    inference(rw,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_225,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_219,c_0_213]) ).

cnf(c_0_226,negated_conjecture,
    ssList(esk50_0),
    i_0_197 ).

cnf(c_0_227,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_156 ).

cnf(c_0_228,negated_conjecture,
    ( esk48_0 != nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[c_0_220,c_0_213]) ).

cnf(c_0_229,negated_conjecture,
    ( X1 = nil
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_216])]) ).

cnf(c_0_230,negated_conjecture,
    ( segmentP(X1,esk51_0)
    | esk48_0 != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225])]) ).

cnf(c_0_231,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_226,c_0_218]) ).

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

cnf(c_0_233,negated_conjecture,
    ~ segmentP(esk51_0,esk51_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_225]),c_0_231])]),c_0_232]) ).

cnf(c_0_234,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    i_0_107 ).

cnf(c_0_235,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_225])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWC068+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n009.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 : Sun Jun 12 12:50:24 EDT 2022
% 0.12/0.34  % 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
% 6.91/2.25  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 6.91/2.25  # Version: 2.1pre011
% 6.91/2.25  # Preprocessing time       : 0.012 s
% 6.91/2.25  
% 6.91/2.25  # Proof found!
% 6.91/2.25  # SZS status Theorem
% 6.91/2.25  # SZS output start CNFRefutation
% See solution above
% 6.91/2.25  # Proof object total steps             : 37
% 6.91/2.25  # Proof object clause steps            : 24
% 6.91/2.25  # Proof object formula steps           : 13
% 6.91/2.25  # Proof object conjectures             : 23
% 6.91/2.25  # Proof object clause conjectures      : 16
% 6.91/2.25  # Proof object formula conjectures     : 7
% 6.91/2.25  # Proof object initial clauses used    : 13
% 6.91/2.25  # Proof object initial formulas used   : 13
% 6.91/2.25  # Proof object generating inferences   : 6
% 6.91/2.25  # Proof object simplifying inferences  : 20
% 6.91/2.25  # Training examples: 0 positive, 0 negative
% 6.91/2.25  # Parsed axioms                        : 197
% 6.91/2.25  # Removed by relevancy pruning/SinE    : 0
% 6.91/2.25  # Initial clauses                      : 197
% 6.91/2.25  # Removed in clause preprocessing      : 0
% 6.91/2.25  # Initial clauses in saturation        : 197
% 6.91/2.25  # Processed clauses                    : 294
% 6.91/2.25  # ...of these trivial                  : 2
% 6.91/2.25  # ...subsumed                          : 44
% 6.91/2.25  # ...remaining for further processing  : 248
% 6.91/2.25  # Other redundant clauses eliminated   : 101
% 6.91/2.25  # Clauses deleted for lack of memory   : 0
% 6.91/2.25  # Backward-subsumed                    : 2
% 6.91/2.25  # Backward-rewritten                   : 1
% 6.91/2.25  # Generated clauses                    : 1119
% 6.91/2.25  # ...of the previous two non-trivial   : 931
% 6.91/2.25  # Contextual simplify-reflections      : 29
% 6.91/2.25  # Paramodulations                      : 996
% 6.91/2.25  # Factorizations                       : 0
% 6.91/2.25  # Equation resolutions                 : 123
% 6.91/2.25  # Propositional unsat checks           : 0
% 6.91/2.25  # Propositional unsat check successes  : 0
% 6.91/2.25  # Current number of processed clauses  : 239
% 6.91/2.25  #    Positive orientable unit clauses  : 19
% 6.91/2.25  #    Positive unorientable unit clauses: 0
% 6.91/2.25  #    Negative unit clauses             : 11
% 6.91/2.25  #    Non-unit-clauses                  : 209
% 6.91/2.25  # Current number of unprocessed clauses: 834
% 6.91/2.25  # ...number of literals in the above   : 6106
% 6.91/2.25  # Current number of archived formulas  : 0
% 6.91/2.25  # Current number of archived clauses   : 3
% 6.91/2.25  # Clause-clause subsumption calls (NU) : 10553
% 6.91/2.25  # Rec. Clause-clause subsumption calls : 2470
% 6.91/2.25  # Non-unit clause-clause subsumptions  : 57
% 6.91/2.25  # Unit Clause-clause subsumption calls : 903
% 6.91/2.25  # Rewrite failures with RHS unbound    : 0
% 6.91/2.25  # BW rewrite match attempts            : 1
% 6.91/2.25  # BW rewrite match successes           : 1
% 6.91/2.25  # Condensation attempts                : 0
% 6.91/2.25  # Condensation successes               : 0
% 6.91/2.25  # Termbank termtop insertions          : 26863
% 6.91/2.25  
% 6.91/2.25  # -------------------------------------------------
% 6.91/2.25  # User time                : 0.032 s
% 6.91/2.25  # System time              : 0.004 s
% 6.91/2.25  # Total time               : 0.036 s
% 6.91/2.25  # ...preprocessing         : 0.012 s
% 6.91/2.25  # ...main loop             : 0.024 s
% 6.91/2.25  # Maximum resident set size: 7136 pages
% 6.91/2.25  
%------------------------------------------------------------------------------