TSTP Solution File: SWC060+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC060+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 20:13:21 EDT 2022

% Result   : Theorem 8.33s 2.54s
% Output   : CNFRefutation 8.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   50 (  14 unt;  11 nHn;  50 RR)
%            Number of literals    :  120 (  37 equ;  66 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_195,negated_conjecture,
    ( nil != esk48_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_195) ).

cnf(i_0_199,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_199) ).

cnf(i_0_194,negated_conjecture,
    ( nil = esk51_0
    | neq(esk50_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_194) ).

cnf(i_0_200,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_200) ).

cnf(i_0_193,negated_conjecture,
    ( nil = esk51_0
    | segmentP(esk51_0,esk50_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_193) ).

cnf(i_0_196,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_196) ).

cnf(i_0_197,negated_conjecture,
    ( nil = esk49_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_197) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_202) ).

cnf(i_0_203,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_203) ).

cnf(i_0_192,negated_conjecture,
    ( esk50_0 = nil
    | neq(esk50_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_192) ).

cnf(i_0_107,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_107) ).

cnf(i_0_105,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ segmentP(X3,X2)
    | ~ segmentP(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_105) ).

cnf(i_0_110,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_110) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_44) ).

cnf(i_0_109,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_109) ).

cnf(i_0_191,negated_conjecture,
    ( esk50_0 = nil
    | segmentP(esk51_0,esk50_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_191) ).

cnf(i_0_111,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-66wi4vav/input.p',i_0_111) ).

cnf(c_0_221,negated_conjecture,
    ( nil != esk48_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_195 ).

cnf(c_0_222,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_199 ).

cnf(c_0_223,negated_conjecture,
    ( nil = esk51_0
    | neq(esk50_0,nil) ),
    i_0_194 ).

cnf(c_0_224,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_200 ).

cnf(c_0_225,negated_conjecture,
    ( nil = esk51_0
    | segmentP(esk51_0,esk50_0) ),
    i_0_193 ).

cnf(c_0_226,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    i_0_196 ).

cnf(c_0_227,negated_conjecture,
    ( nil = esk49_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_197 ).

cnf(c_0_228,negated_conjecture,
    ( esk50_0 != nil
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_222]),c_0_222]) ).

cnf(c_0_229,negated_conjecture,
    ( esk49_0 = nil
    | neq(esk50_0,nil) ),
    inference(rw,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_230,negated_conjecture,
    ssList(esk50_0),
    i_0_202 ).

cnf(c_0_231,negated_conjecture,
    ( esk49_0 = nil
    | segmentP(esk49_0,esk50_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_224]),c_0_224]) ).

cnf(c_0_232,negated_conjecture,
    ( neq(esk49_0,nil)
    | esk50_0 != nil ),
    inference(rw,[status(thm)],[c_0_226,c_0_222]) ).

cnf(c_0_233,negated_conjecture,
    ssList(esk49_0),
    i_0_203 ).

cnf(c_0_234,negated_conjecture,
    ( esk49_0 = nil
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk49_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_227,c_0_222]) ).

cnf(c_0_235,negated_conjecture,
    ( esk50_0 = nil
    | neq(esk50_0,nil) ),
    i_0_192 ).

cnf(c_0_236,negated_conjecture,
    ( esk49_0 = nil
    | esk50_0 != nil
    | ~ segmentP(esk50_0,esk50_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230])]),c_0_231]) ).

cnf(c_0_237,negated_conjecture,
    ( esk50_0 != nil
    | ~ segmentP(esk50_0,esk49_0)
    | ~ segmentP(esk49_0,esk49_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_232]),c_0_233])]) ).

cnf(c_0_238,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    i_0_107 ).

cnf(c_0_239,negated_conjecture,
    ( esk49_0 = nil
    | ~ segmentP(esk50_0,esk50_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_230])]),c_0_231]),c_0_236]) ).

cnf(c_0_240,plain,
    ( esk50_0 != nil
    | ~ segmentP(esk50_0,esk49_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_233])]) ).

cnf(c_0_241,plain,
    esk49_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_238]),c_0_230])]) ).

cnf(c_0_242,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ segmentP(X3,X2)
    | ~ segmentP(X1,X3) ),
    i_0_105 ).

cnf(c_0_243,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    i_0_110 ).

cnf(c_0_244,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_245,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    i_0_109 ).

cnf(c_0_246,negated_conjecture,
    ( esk50_0 = nil
    | segmentP(esk51_0,esk50_0) ),
    i_0_191 ).

cnf(c_0_247,plain,
    ( esk50_0 != nil
    | ~ segmentP(esk50_0,nil) ),
    inference(rw,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_248,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_242,c_0_243]),c_0_244])]),c_0_245]) ).

cnf(c_0_249,negated_conjecture,
    ( esk50_0 = nil
    | segmentP(esk49_0,esk50_0) ),
    inference(rw,[status(thm)],[c_0_246,c_0_224]) ).

cnf(c_0_250,plain,
    esk50_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_244]),c_0_230])]) ).

cnf(c_0_251,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    i_0_111 ).

cnf(c_0_252,negated_conjecture,
    segmentP(nil,esk50_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_241]),c_0_250]) ).

cnf(c_0_253,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_230])]),c_0_250]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC060+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n023.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 21:53:08 EDT 2022
% 0.12/0.34  % 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
% 8.33/2.54  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.33/2.54  # Version: 2.1pre011
% 8.33/2.54  # Preprocessing time       : 0.012 s
% 8.33/2.54  
% 8.33/2.54  # Proof found!
% 8.33/2.54  # SZS status Theorem
% 8.33/2.54  # SZS output start CNFRefutation
% See solution above
% 8.33/2.54  # Proof object total steps             : 50
% 8.33/2.54  # Proof object clause steps            : 33
% 8.33/2.54  # Proof object formula steps           : 17
% 8.33/2.54  # Proof object conjectures             : 32
% 8.33/2.54  # Proof object clause conjectures      : 21
% 8.33/2.54  # Proof object formula conjectures     : 11
% 8.33/2.54  # Proof object initial clauses used    : 17
% 8.33/2.54  # Proof object initial formulas used   : 17
% 8.33/2.54  # Proof object generating inferences   : 8
% 8.33/2.54  # Proof object simplifying inferences  : 33
% 8.33/2.54  # Training examples: 0 positive, 0 negative
% 8.33/2.54  # Parsed axioms                        : 202
% 8.33/2.54  # Removed by relevancy pruning/SinE    : 0
% 8.33/2.54  # Initial clauses                      : 202
% 8.33/2.54  # Removed in clause preprocessing      : 0
% 8.33/2.54  # Initial clauses in saturation        : 202
% 8.33/2.54  # Processed clauses                    : 225
% 8.33/2.54  # ...of these trivial                  : 2
% 8.33/2.54  # ...subsumed                          : 7
% 8.33/2.54  # ...remaining for further processing  : 216
% 8.33/2.54  # Other redundant clauses eliminated   : 82
% 8.33/2.54  # Clauses deleted for lack of memory   : 0
% 8.33/2.54  # Backward-subsumed                    : 3
% 8.33/2.54  # Backward-rewritten                   : 13
% 8.33/2.54  # Generated clauses                    : 829
% 8.33/2.54  # ...of the previous two non-trivial   : 683
% 8.33/2.54  # Contextual simplify-reflections      : 9
% 8.33/2.54  # Paramodulations                      : 730
% 8.33/2.54  # Factorizations                       : 0
% 8.33/2.54  # Equation resolutions                 : 98
% 8.33/2.54  # Propositional unsat checks           : 0
% 8.33/2.54  # Propositional unsat check successes  : 0
% 8.33/2.54  # Current number of processed clauses  : 193
% 8.33/2.54  #    Positive orientable unit clauses  : 16
% 8.33/2.54  #    Positive unorientable unit clauses: 0
% 8.33/2.54  #    Negative unit clauses             : 3
% 8.33/2.54  #    Non-unit-clauses                  : 174
% 8.33/2.54  # Current number of unprocessed clauses: 648
% 8.33/2.54  # ...number of literals in the above   : 4868
% 8.33/2.54  # Current number of archived formulas  : 0
% 8.33/2.54  # Current number of archived clauses   : 17
% 8.33/2.54  # Clause-clause subsumption calls (NU) : 6799
% 8.33/2.54  # Rec. Clause-clause subsumption calls : 1668
% 8.33/2.54  # Non-unit clause-clause subsumptions  : 18
% 8.33/2.54  # Unit Clause-clause subsumption calls : 123
% 8.33/2.54  # Rewrite failures with RHS unbound    : 0
% 8.33/2.54  # BW rewrite match attempts            : 1
% 8.33/2.54  # BW rewrite match successes           : 1
% 8.33/2.54  # Condensation attempts                : 0
% 8.33/2.54  # Condensation successes               : 0
% 8.33/2.54  # Termbank termtop insertions          : 22028
% 8.33/2.55  
% 8.33/2.55  # -------------------------------------------------
% 8.33/2.55  # User time                : 0.028 s
% 8.33/2.55  # System time              : 0.002 s
% 8.33/2.55  # Total time               : 0.030 s
% 8.33/2.55  # ...preprocessing         : 0.012 s
% 8.33/2.55  # ...main loop             : 0.018 s
% 8.33/2.55  # Maximum resident set size: 7140 pages
% 8.33/2.55  
%------------------------------------------------------------------------------