TSTP Solution File: SWC069+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC069+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 7.73s 2.29s
% Output   : CNFRefutation 7.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   29 (  12 unt;   2 nHn;  29 RR)
%            Number of literals    :   56 (  15 equ;  32 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_197,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_198) ).

cnf(i_0_199,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_199) ).

cnf(i_0_193,negated_conjecture,
    ( neq(esk52_0,nil)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_193) ).

cnf(i_0_194,negated_conjecture,
    ( ssList(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_194) ).

cnf(i_0_192,negated_conjecture,
    ( segmentP(esk51_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_192) ).

cnf(i_0_191,negated_conjecture,
    ( segmentP(esk50_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_191) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_202) ).

cnf(i_0_195,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_195) ).

cnf(i_0_196,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_196) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-n40pja_n/input.p',i_0_44) ).

cnf(c_0_215,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_197 ).

cnf(c_0_216,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_198 ).

cnf(c_0_217,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_199 ).

cnf(c_0_218,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(esk50_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_216]),c_0_217]) ).

cnf(c_0_219,negated_conjecture,
    ( neq(esk52_0,nil)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_220,negated_conjecture,
    ( ssList(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_194 ).

cnf(c_0_221,negated_conjecture,
    ( segmentP(esk51_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_192 ).

cnf(c_0_222,negated_conjecture,
    ( segmentP(esk50_0,esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_223,negated_conjecture,
    ssList(esk49_0),
    i_0_202 ).

cnf(c_0_224,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_195 ).

cnf(c_0_225,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_196 ).

cnf(c_0_226,negated_conjecture,
    ~ neq(esk51_0,nil),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),c_0_221]),c_0_222]) ).

cnf(c_0_227,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_228,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_229,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_223,c_0_217]) ).

cnf(c_0_230,negated_conjecture,
    esk51_0 != nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_216]),c_0_217]),c_0_225]) ).

cnf(c_0_231,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_229])]),c_0_230]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC069+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 : Sun Jun 12 19:22:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/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
% 7.73/2.29  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.73/2.29  # Version: 2.1pre011
% 7.73/2.29  # Preprocessing time       : 0.015 s
% 7.73/2.29  
% 7.73/2.29  # Proof found!
% 7.73/2.29  # SZS status Theorem
% 7.73/2.29  # SZS output start CNFRefutation
% See solution above
% 7.73/2.29  # Proof object total steps             : 29
% 7.73/2.29  # Proof object clause steps            : 17
% 7.73/2.29  # Proof object formula steps           : 12
% 7.73/2.29  # Proof object conjectures             : 24
% 7.73/2.29  # Proof object clause conjectures      : 14
% 7.73/2.29  # Proof object formula conjectures     : 10
% 7.73/2.29  # Proof object initial clauses used    : 12
% 7.73/2.29  # Proof object initial formulas used   : 12
% 7.73/2.29  # Proof object generating inferences   : 2
% 7.73/2.29  # Proof object simplifying inferences  : 13
% 7.73/2.29  # Training examples: 0 positive, 0 negative
% 7.73/2.29  # Parsed axioms                        : 201
% 7.73/2.29  # Removed by relevancy pruning/SinE    : 0
% 7.73/2.29  # Initial clauses                      : 201
% 7.73/2.29  # Removed in clause preprocessing      : 0
% 7.73/2.29  # Initial clauses in saturation        : 201
% 7.73/2.29  # Processed clauses                    : 205
% 7.73/2.29  # ...of these trivial                  : 3
% 7.73/2.29  # ...subsumed                          : 2
% 7.73/2.29  # ...remaining for further processing  : 200
% 7.73/2.29  # Other redundant clauses eliminated   : 82
% 7.73/2.29  # Clauses deleted for lack of memory   : 0
% 7.73/2.29  # Backward-subsumed                    : 0
% 7.73/2.29  # Backward-rewritten                   : 1
% 7.73/2.29  # Generated clauses                    : 808
% 7.73/2.29  # ...of the previous two non-trivial   : 658
% 7.73/2.29  # Contextual simplify-reflections      : 6
% 7.73/2.29  # Paramodulations                      : 710
% 7.73/2.29  # Factorizations                       : 0
% 7.73/2.29  # Equation resolutions                 : 98
% 7.73/2.29  # Propositional unsat checks           : 0
% 7.73/2.29  # Propositional unsat check successes  : 0
% 7.73/2.29  # Current number of processed clauses  : 193
% 7.73/2.29  #    Positive orientable unit clauses  : 14
% 7.73/2.29  #    Positive unorientable unit clauses: 0
% 7.73/2.29  #    Negative unit clauses             : 4
% 7.73/2.29  #    Non-unit-clauses                  : 175
% 7.73/2.29  # Current number of unprocessed clauses: 654
% 7.73/2.29  # ...number of literals in the above   : 4882
% 7.73/2.29  # Current number of archived formulas  : 0
% 7.73/2.29  # Current number of archived clauses   : 1
% 7.73/2.29  # Clause-clause subsumption calls (NU) : 6455
% 7.73/2.29  # Rec. Clause-clause subsumption calls : 1618
% 7.73/2.29  # Non-unit clause-clause subsumptions  : 8
% 7.73/2.29  # Unit Clause-clause subsumption calls : 49
% 7.73/2.29  # Rewrite failures with RHS unbound    : 0
% 7.73/2.29  # BW rewrite match attempts            : 1
% 7.73/2.29  # BW rewrite match successes           : 1
% 7.73/2.29  # Condensation attempts                : 0
% 7.73/2.29  # Condensation successes               : 0
% 7.73/2.29  # Termbank termtop insertions          : 21584
% 7.73/2.29  
% 7.73/2.29  # -------------------------------------------------
% 7.73/2.29  # User time                : 0.025 s
% 7.73/2.29  # System time              : 0.006 s
% 7.73/2.29  # Total time               : 0.031 s
% 7.73/2.29  # ...preprocessing         : 0.015 s
% 7.73/2.29  # ...main loop             : 0.016 s
% 7.73/2.29  # Maximum resident set size: 7132 pages
% 7.73/2.29  
%------------------------------------------------------------------------------