TSTP Solution File: SWC039+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC039+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 20:13:13 EDT 2022

% Result   : Theorem 7.52s 2.45s
% Output   : CNFRefutation 7.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   39 (  22 unt;   7 nHn;  39 RR)
%            Number of literals    :   73 (  33 equ;  30 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_207,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_207) ).

cnf(i_0_208,negated_conjecture,
    esk49_0 = nil,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_208) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | app(app(esk53_0,esk50_0),esk54_0) = esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_195) ).

cnf(i_0_205,negated_conjecture,
    esk48_0 != nil,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_205) ).

cnf(i_0_206,negated_conjecture,
    esk48_0 = esk50_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_206) ).

cnf(i_0_199,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk54_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_199) ).

cnf(i_0_158,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_158) ).

cnf(i_0_212,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_212) ).

cnf(i_0_201,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_201) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_58) ).

cnf(i_0_211,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_211) ).

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-5rkkz3kl/input.p',i_0_149) ).

cnf(i_0_111,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5rkkz3kl/input.p',i_0_111) ).

cnf(c_0_226,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_207 ).

cnf(c_0_227,negated_conjecture,
    esk49_0 = nil,
    i_0_208 ).

cnf(c_0_228,negated_conjecture,
    ( esk50_0 = nil
    | app(app(esk53_0,esk50_0),esk54_0) = esk51_0 ),
    i_0_195 ).

cnf(c_0_229,negated_conjecture,
    esk51_0 = nil,
    inference(rw,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_230,negated_conjecture,
    esk48_0 != nil,
    i_0_205 ).

cnf(c_0_231,negated_conjecture,
    esk48_0 = esk50_0,
    i_0_206 ).

cnf(c_0_232,negated_conjecture,
    ( app(app(esk53_0,esk50_0),esk54_0) = nil
    | esk50_0 = nil ),
    inference(rw,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_233,negated_conjecture,
    esk50_0 != nil,
    inference(rw,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_234,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk54_0) ),
    i_0_199 ).

cnf(c_0_235,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_158 ).

cnf(c_0_236,negated_conjecture,
    app(app(esk53_0,esk50_0),esk54_0) = nil,
    inference(sr,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_237,negated_conjecture,
    ssList(esk54_0),
    inference(sr,[status(thm)],[c_0_234,c_0_233]) ).

cnf(c_0_238,negated_conjecture,
    ssList(esk48_0),
    i_0_212 ).

cnf(c_0_239,negated_conjecture,
    ( esk50_0 = nil
    | ssList(esk53_0) ),
    i_0_201 ).

cnf(c_0_240,plain,
    ( esk54_0 = nil
    | ~ ssList(app(esk53_0,esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237])]) ).

cnf(c_0_241,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_242,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_238,c_0_231]) ).

cnf(c_0_243,negated_conjecture,
    ssList(esk53_0),
    inference(sr,[status(thm)],[c_0_239,c_0_233]) ).

cnf(c_0_244,plain,
    esk54_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]),c_0_243])]) ).

cnf(c_0_245,negated_conjecture,
    ssList(esk49_0),
    i_0_211 ).

cnf(c_0_246,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_247,negated_conjecture,
    app(app(esk53_0,esk50_0),nil) = nil,
    inference(rw,[status(thm)],[c_0_236,c_0_244]) ).

cnf(c_0_248,negated_conjecture,
    ssList(nil),
    inference(rw,[status(thm)],[c_0_245,c_0_227]) ).

cnf(c_0_249,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    i_0_111 ).

cnf(c_0_250,plain,
    ( segmentP(X1,esk50_0)
    | nil != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]),c_0_243]),c_0_242])]) ).

cnf(c_0_251,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_242]),c_0_248])]),c_0_233]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWC039+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 12 17:01:28 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.52/2.45  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.52/2.45  # Version: 2.1pre011
% 7.52/2.45  # Preprocessing time       : 0.013 s
% 7.52/2.45  
% 7.52/2.45  # Proof found!
% 7.52/2.45  # SZS status Theorem
% 7.52/2.45  # SZS output start CNFRefutation
% See solution above
% 7.52/2.45  # Proof object total steps             : 39
% 7.52/2.45  # Proof object clause steps            : 26
% 7.52/2.45  # Proof object formula steps           : 13
% 7.52/2.45  # Proof object conjectures             : 27
% 7.52/2.45  # Proof object clause conjectures      : 18
% 7.52/2.45  # Proof object formula conjectures     : 9
% 7.52/2.45  # Proof object initial clauses used    : 13
% 7.52/2.45  # Proof object initial formulas used   : 13
% 7.52/2.45  # Proof object generating inferences   : 4
% 7.52/2.45  # Proof object simplifying inferences  : 22
% 7.52/2.45  # Training examples: 0 positive, 0 negative
% 7.52/2.45  # Parsed axioms                        : 210
% 7.52/2.45  # Removed by relevancy pruning/SinE    : 0
% 7.52/2.45  # Initial clauses                      : 210
% 7.52/2.45  # Removed in clause preprocessing      : 0
% 7.52/2.45  # Initial clauses in saturation        : 210
% 7.52/2.45  # Processed clauses                    : 262
% 7.52/2.45  # ...of these trivial                  : 13
% 7.52/2.45  # ...subsumed                          : 18
% 7.52/2.45  # ...remaining for further processing  : 231
% 7.52/2.45  # Other redundant clauses eliminated   : 84
% 7.52/2.45  # Clauses deleted for lack of memory   : 0
% 7.52/2.45  # Backward-subsumed                    : 0
% 7.52/2.45  # Backward-rewritten                   : 5
% 7.52/2.45  # Generated clauses                    : 1075
% 7.52/2.45  # ...of the previous two non-trivial   : 904
% 7.52/2.45  # Contextual simplify-reflections      : 13
% 7.52/2.45  # Paramodulations                      : 968
% 7.52/2.45  # Factorizations                       : 0
% 7.52/2.45  # Equation resolutions                 : 102
% 7.52/2.45  # Propositional unsat checks           : 0
% 7.52/2.45  # Propositional unsat check successes  : 0
% 7.52/2.45  # Current number of processed clauses  : 215
% 7.52/2.45  #    Positive orientable unit clauses  : 29
% 7.52/2.45  #    Positive unorientable unit clauses: 0
% 7.52/2.45  #    Negative unit clauses             : 3
% 7.52/2.45  #    Non-unit-clauses                  : 183
% 7.52/2.45  # Current number of unprocessed clauses: 771
% 7.52/2.45  # ...number of literals in the above   : 5590
% 7.52/2.45  # Current number of archived formulas  : 0
% 7.52/2.45  # Current number of archived clauses   : 10
% 7.52/2.45  # Clause-clause subsumption calls (NU) : 9043
% 7.52/2.45  # Rec. Clause-clause subsumption calls : 2089
% 7.52/2.45  # Non-unit clause-clause subsumptions  : 26
% 7.52/2.45  # Unit Clause-clause subsumption calls : 412
% 7.52/2.45  # Rewrite failures with RHS unbound    : 0
% 7.52/2.45  # BW rewrite match attempts            : 2
% 7.52/2.45  # BW rewrite match successes           : 2
% 7.52/2.45  # Condensation attempts                : 0
% 7.52/2.45  # Condensation successes               : 0
% 7.52/2.45  # Termbank termtop insertions          : 25857
% 7.52/2.45  
% 7.52/2.45  # -------------------------------------------------
% 7.52/2.45  # User time                : 0.030 s
% 7.52/2.45  # System time              : 0.005 s
% 7.52/2.45  # Total time               : 0.035 s
% 7.52/2.45  # ...preprocessing         : 0.013 s
% 7.52/2.45  # ...main loop             : 0.022 s
% 7.52/2.45  # Maximum resident set size: 7136 pages
% 7.52/2.45  
%------------------------------------------------------------------------------